{"title":"Classical mechanics Books","description":"","products":[{"product_id":"classical-mechanics-9780141976228","title":"Classical Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003e''Beautifully clear explanations of famously difficult things ... It almost makes you think you could have been a Newton yourself'' John Gribbin  \u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eHere is the ultimate master class in modern physics. World-class physicist and father of string theory Leonard Susskind and citizen-scientist George Hrabovsky combine forces in a primer that teaches the skills you need to do physics yourself.\u003cbr\u003e\u003cbr\u003eCombining crystal-clear explanations of the laws of the universe with basic exercises (including essential equations and maths), the authors cover the minimum that readers should master. They introduce the key concepts of modern physics, from classical mechanics to general relativity to quantum theory, and provide a practical toolkit that you won''t find in any other popular science book.\u003cbr\u003e\u003cbr\u003e ''A good and noble book''  \u003ci\u003eSunday Times\u003c\/i\u003e\u003cbr\u003e\u003cbr\u003e ''A wonderful and unique resource. For anyone who is determined to learn physics for real, looking beyond conventional popularizations, this is the ideal place to start''  Sean Carroll, physicist and author of \u003ci\u003eThe Particle at the End of the Universe\u003c\/i\u003e\u003cbr\u003e\u003cbr\u003e''Very readable ... provides a clear description of advanced classical physics concepts, and gives readers who want a challenge the opportunity to exercise their brain''  \u003ci\u003ePhysics World\u003c\/i\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eSo what do you do if you enjoyed science at school or college but ended up with a different career and are still wondering what makes the universe tick? . . . \u003ci\u003eThe Theoretical Minimum\u003c\/i\u003e is the book for you. -- John Gribbin * Wall Street Journal *\u003cbr\u003eA pleasure to read....a beautiful, high-level overview of the entire subject * Physics Today *\u003cbr\u003eWhat a wonderful and unique resource. For anyone who is determined to learn physics for real, looking beyond conventional popularizations, this is the ideal place to start. It gets directly to the important points, with nuggets of deep insight scattered along the way. * Sean Carroll, author of The Particle at the End of the Universe *","brand":"Penguin Books Ltd","offers":[{"title":"Default Title","offer_id":48732497150295,"sku":"9780141976228","price":10.44,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780141976228.jpg?v=1719997142"},{"product_id":"lagrangian-and-hamiltonian-dynamics-9780198822387","title":"Lagrangian and Hamiltonian Dynamics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe book introduces classical mechanics. It does so in an informal style with numerous fresh, modern and inter-disciplinary applications assuming no prior knowledge of the necessary mathematics. The book provides a comprehensive and self-contained treatment of the subject matter up to the forefront of research in multiple areas.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePart I: Newtonian Mechanics 1: Introduction 2: Newton's Three Laws 3: Energy and Work 4: Introductory Rotational Dynamics 5: The Harmonic Oscillator 6: Wave Mechanics \u0026amp; Elements of Mathematical Physics Part II: Langrangian Mechanics 7: Introduction 8: Coordinates \u0026amp; Constraints 9: The Stationary Action Principle 10: Constrained Langrangian Mechanics 11: Point Transformations in Langrangian Mechanics 12: The Jacobi Energy Function 13: Symmetries \u0026amp; Langrangian-Hamiltonian-Jacobi Theory 14: Near-Equilibrium Oscillations 15: Virtual Work \u0026amp; d'Alembert's Principle Part III: Canonical Mechanics 16: Introduction 17: The Hamiltonian \u0026amp; Phase Space 18: Hamiltonian's equations \u0026amp; Routhian Reduction 19: Poisson Brackets \u0026amp; Angular momentum 20: Canonical \u0026amp; Gauge Transformations 21: Hamilton-Jacobi Theory 22: Liouville's Theorem \u0026amp; Classical Statistical Mechanics 23: Constrained Hamiltonian Dynamics 24: Autonomous Geometrical Mehcanics 25: The Structure of Phase Space 26: Near-Integrable Systems Part IV: Classical Field Theory 27: Introduction 28: Langrangian Field Theory 29: Hamiltonian Field Theory 30: Clssical Electromagnetism 31: Neother's Theorem for Fields 32: Classical Path-Integrals Part V: Preliminary Mathematics 33: The (Not so?) Basics 34: Matrices 35: Partial Differentiation 36: Legendre Transformations 37: Vector Calculus 38: Differential equations 39: Calculus of Variations Part VI: Advanced Mathematics 40: Linear Algebra 41: Differential Geometry Part VII: Exam Style Questions Appendix A: Noether's Theorem Explored Appendix B: The Action Principle Explored Appendix C: Useful Relations Appendxi D: Poisson \u0026amp; Nambu Brackets Explored Appendix: Canonical Transformations Explored Appendix F: Action-Angle Variables Explored Appendix G: Statistical Mechanics Explored Appendix H: Biographies","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732797108567,"sku":"9780198822387","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780198822387.jpg?v=1719998439"},{"product_id":"fluid-mechanics-a-very-short-introduction-very-short-introductions-9780198831006","title":"Fluid Mechanics A Very Short Introduction Very","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cb\u003eVery Short Introductions\u003cb\u003e: Brilliant, Sharp, Inspiring \u003c\/b\u003eFluid mechanics is an important branch of physics concerned with the way in which fluids, such as liquids and gases, behave when in motion and at rest. A quintessential interdisciplinary field of science, it interacts with many other scientific disciplines, from chemistry and biology to mathematics and engineering.This Very Short Introduction presents the field of fluid mechanics by focusing on the underlying physical ideas and using everyday phenomena to demonstrate them, from dripping taps to swimming ducks. Eric Lauga shows how this set of fundamental physical concepts can be applied to a wide range of flow behaviours and highlights the role of fluid motion in both the natural and industrial worlds. This book also considers future applications of fluid mechanics in science.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eOverall, the book should definitely be an individual's go-to source when seeking an authoritative perspective on the field of fluid mechanics. * Anita T. Layton, Society for Industrial and Applied Mathematics Vol 65.4 *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1: Fluids 2: Viscosity 3: Pipes 4: Dimensions 5: Boundary layers 6: Vortices 7: Instabilities 8: Researching fluids and flows Further Reading Index\u003c\/b\u003e","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732801368407,"sku":"9780198831006","price":9.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780198831006.jpg?v=1791378728"},{"product_id":"physics-on-your-feet-berkeley-graduate-exam-questions-9780198842378","title":"Physics on Your Feet Berkeley Graduate Exam","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePhysics on Your Feet (2nd Edition) is a significantly expanded collection of physics problems covering the broad range of topics in classical and modern physics that were, or could have been, asked at oral PhD exams.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eReview from previous edition The inventive and challenging puzzles in this book are guaranteed to make you think, and they will probably also make you glad you are not encountering them on your feet in an exam! * Physics World *\u003cbr\u003eThis practical study book for university students will help every student in the preparation of their exams. * Jan M. Broders, Optische Fenomenen *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1: Mechanics, heat, and general physics 2: Fluids 3: Gravitation, astrophysics, cosmology 4: Electromagnetism 5: Optics 6: Quantum, atomic, and molecular 7: Nuclear and elementary-particle physics 8: Condensed-matter physics Appendix A Maxwell's equations and electromagnetic field boundary Appendix B Symbols and useful constants Free","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732808380759,"sku":"9780198842378","price":32.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780198842378.jpg?v=1719998486"},{"product_id":"physics-on-your-feet-berkeley-graduate-exam-questions-9780198842361","title":"Physics on Your Feet Berkeley Graduate Exam","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePhysics on Your Feet (2nd Edition) is a significantly expanded collection of physics problems covering the broad range of topics in classical and modern physics that were, or could have been, asked at oral PhD exams at University of California at Berkeley. The questions are easy to formulate, but some of them can only be answered using an outside-of-the box approach. Detailed solutions are provided, from which the reader is guaranteed to learn a lot about the physicists'' way of thinking. The book is also packed full of cartoons and dry humor to help take the edge off the stress and anxiety surrounding exams. This is a helpful guide for students preparing for their exams, as well as a resource for university lecturers looking for good instructive problems. No exams are necessary to enjoy the book!\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eReview from previous edition The inventive and challenging puzzles in this book are guaranteed to make you think, and they will probably also make you glad you are not encountering them on your feet in an exam! * Physics World *\u003cbr\u003eThis practical study book for university students will help every student in the preparation of their exams. * Jan M. Broders, Optische Fenomenen *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1: Mechanics, heat, and general physics 2: Fluids 3: Gravitation, astrophysics, cosmology 4: Electromagnetism 5: Optics 6: Quantum, atomic, and molecular 7: Nuclear and elementary-particle physics 8: Condensed-matter physics Appendix A Maxwell's equations and electromagnetic field boundary Appendix B Symbols and useful constants Free","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732808544599,"sku":"9780198842361","price":66.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780198842361.jpg?v=1719998487"},{"product_id":"the-oxford-linear-algebra-for-scientists-9780198844921","title":"The Oxford Linear Algebra for Scientists","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis textbook provides a modern introduction to linear algebra, a mathematical discipline every first year undergraduate student in physics and engineering must learn. A rigorous introduction into the mathematics is combined with many examples, solved problems, and exercises as well as scientific applications of linear algebra. These include applications to contemporary topics such as internet search, artificial intelligence, neural networks, and quantum computing, as well as a number of more advanced topics, such as Jordan normal form, singular value decomposition, and tensors, which will make it a useful reference for a more experienced practitioner. Structured into 27 chapters, it is designed as a basis for a lecture course and combines a rigorous mathematical development of the subject with a range of concisely presented scientific applications. The main text contains many examples and solved problems to help the reader develop a working knowledge of the subject and every chapter comes with exercises.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eThe authors are uniquely well qualified to produce a textbook suitable for first-year university students. * David Matravers, University of Portsmouth *\u003cbr\u003eLinear Algebra is a core undergraduate course not only in Mathematics but also in Physics, Chemistry, Biology and Computer Science. This textbook brilliantly succeeds in catering to such a wide audience by covering a broad range of formal developments along with concrete applications and is unique in its presentation of the topic. * Richard Joseph Szabo, Heriot-Watt University *\u003cbr\u003eLukas has written an impressive mathematical textbook that covers standard introductory linear algebra topics along with advanced concepts that will appeal to many readers. * Choice *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1: Linearity - an informal introduction 2: Sets and functions 3: Groups 4: Fields 5: Coordinate vectors 6: Vector spaces 7: Elementary vector space properties 8: Vector subspaces 9: The dot product 10: Vector and triple product 11: Lines and planes 12: Introduction to linear maps 13: Matrices 14: The structure of linear maps 15: Linear maps in terms of matrices 16: Computing with matrices 17: Linear systems 18: Determinants 19: Basics of eigenvalues 20: Diagonalising linear maps 21: The Jordan normal form 22: Scalar products 23: Adjoint and unitary maps 24: Diagonalisation - again 25: Bi-linear and sesqui-linear forms 26: The dual vector space 27: Tensors","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732809199959,"sku":"9780198844921","price":41.2,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780198844921.jpg?v=1719998490"},{"product_id":"covariant-physics-from-classical-mechanics-to-general-relativity-and-beyond-9780198865001","title":"Covariant Physics From Classical Mechanics to","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eCovariant Physics: From Classical Mechanics to General Relativity and Beyond endeavours to provide undergraduate students as well as self-learners with training in the fundamentals of the modern theories of spacetime, most notably the general theory of relativity as well as physics in curved spacetime backgrounds in general. This text does so with the barest of mathematical preparation. In fact, very little beyond multivariable calculus and a bit of linear algebra is assumed. Throughout this textbook, the main theme tying the various topics is the so-called principle of covariance - a fundamental symmetry of physics that one rarely encounters in undergraduate texts. The material is introduced very gradually, starting with the simplest of high school mathematics, and moving through the more intense notions of tensor calculus, geometry, and differential forms with ease. Familiar notions from classical mechanics and electrodynamics are used to increase familiarity with the advanced mathematical ideas, and to emphasize the unity of all of physics under the single principle of covariance. The mathematical and physical techniques developed in this book should allow students to perform research in various fields of theoretical physics as early as their sophomore year in college. The language the reader will learn in this book is the foundational mathematical language of many modern branches of physics, and as such should allow them to read and generally understand many modern physics papers.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eIntroduces and progresses with the subject in ways that are very conducive to good learning and understanding, and fills a real (and currently unmet) need in an undergraduate's education in preparation for some of modern physics' most fascinating areas. * S. Leslie Blatt, Clark University, Worcester, Massachusetts *\u003cbr\u003eStresses Einstein's legacy of using the symmetry principle to discover new physics, and introduces the relevant mathematics in a very gradual way. * Ta-Pei Cheng, University of Missouri - St Louis *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1: Coordinate Systems and Vectors 2: Tensors 3: Classical Covariance 4: Special Covariance 5: General Covariance 6: Physics in curved spacetime 7: Riemann and Einstein 8: Least action and classical fields 9: Differential forms 10: Generalizing general relativity","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732820898135,"sku":"9780198865001","price":39.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780198865001.jpg?v=1791378731"},{"product_id":"understanding-mechanics-9780199146758","title":"Understanding Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eOne of the clearest and most straightforward texts ever published, Understanding Mechanics covers all the topics required in the single-subject A Level.  It is equally appropriate for those preparing for other Mathematics examinations at A Level and for students on technical courses in further and higher education.  Key Points:   Principles are introduced in a simple and direct manner and all have worked examples   Ample opportunity is given for practice with questions and exercises carefully graded to provide a steady progression   Each chapter closes with a comprehensive selection of recent examination questions   Answers are given at the back of the book\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eA lucid text with many sets of questions... make the whole a most acceptable work. * TES *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Vectors ; 2. Distance, velocity and acceleration ; 3. Force and Newton's laws ; 4. Resultants and components of forces ; 5. Equilibrium and acceleration under concurrent forces ; 6. Friction ; 7. Moments ; 8. Centre of gravity ; 9. General equilibrium of a rigid body ; 10. Resultant velocity and relative velocity ; 11. Work, energy and power ; 12. Projectiles ; 13. Circular motion ; 14. Momentum and impulse ; 15. Elasticity ; 16. Use of calculus ; 17. Simple harmonic motion ; 18. Compound bodies and frameworks","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":48732833251671,"sku":"9780199146758","price":64.86,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780199146758.jpg?v=1719998595"},{"product_id":"the-story-of-spin-9780226807942","title":"The Story of Spin","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eAll atomic particles have a particular spin, analagous to the rotation of the Earth about its axis. This mysterious quality has vast practical importance to topics as wide-ranging as the stability of atoms and stars and magnetic resonance imaging. This is an accessible treatment of the subject.","brand":"The University of Chicago Press","offers":[{"title":"Default Title","offer_id":48732922347863,"sku":"9780226807942","price":28.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780226807942.jpg?v=1719998962"},{"product_id":"cryocoolers-11-9780306465673","title":"Cryocoolers 11","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eGovernment Cryocooler Development and Test Programs.- Space Stirling Cryocooler Developments.- Long-Life Tactical and Commercial Stirling Coolers.- Long-Life Commercial Pulse Tube Coolers.- Space Pulse Tube Cryocooler Developments.- GM-Type Pulse Tube Coolers for Low Temperatures.- Hybrid Cryocoolers Using Pulse Tubes.- Pulse Tube Analysis and Experimental Measurements.- GM Refrigerator Developments.- Regenerator Analysis and Materials Developments.- Turbo-Brayton Cryocooler Developments.- J-T and Throttle-Cycle Cryocooler Developments.- Sorption Cryocooler Developments.- Sub-Kelvin Refrigerator Developments.- Optical Refrigeration Developments.- Cryocooler Reliability Investigations and Analyses.- Cryocooler Integration Technologies and Materials.- Space Cryocooler Applications.- Commercial Cryocooler Applications.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eGovernment Cryocooler Development and Test Programs. Space  Stirling Cryocooler Developments. Long Life Tactical, and Commercial  Stirling Coolers. Long Life Commercial Pulse Tube Coolers. Space Pulse  Tube Cryocooler Developments. GM-Type Pulse Tube Coolers for Low  Temperatures. Hybrid Cryocoolers Using Pulse Tubes. Pulse Tube  Analysis and Experimental Measurements. GM Refrigerator Developments.  Regenerator Analysis and Materials Developments. Turbo-Brayton  Cryocooler Developments. J-T and Throttle-Cycle Cryocooler  Developments. Sorption Cryocooler Developments. Sub-Kelvin  Refrigerator Developments. Optical Refrigeration Developments.  Cryocooler Reliability Investigations and Analyses. Cryocooler  Integration Technologies and Materials. Space Cryocooler Applications.  Commercial Cryocooler Applications. Indexes.","brand":"Springer Science+Business Media","offers":[{"title":"Default Title","offer_id":48733522493783,"sku":"9780306465673","price":134.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780306465673.jpg?v=1720000418"},{"product_id":"granular-matter-9780387940656","title":"Granular Matter","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePowders have been studied extensively because they arise in a wide variety of fields, ranging from soil mechanics to manufacture of pharmaceuticals. Only recently, however, with the deepening understanding of                            fractals, chaos, 1\/f noise, and self-organization, has it been useful to study the mechanical properties of powders from a fundamental physical perspective. This book collects articles by some of the foremost researchers in                            the field, including chapters on: the role of entropy in the specification of a powder, by S.F. Edwards (Cambridge); discrete mechanics, by P.K. Haff (Duke); computer simulations of granular materials, by G.C. Barker                            (Norwich); pattern formation and complexity in granular flow, by R.P. Behringer and G.W. Baxter (Duke); avalanches in real sand piles, by A. Mehta (Birmingham); micromechanical models of failure, by M.J. Adams (Unilever) and                            B.J. Briscoe (Imp\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e1. Relaxational Dynamics, Avalanches, and Disorder in Real Sandpiles.- 2. Computer Simulations of Granular Materials.- 3.Pattern Formation and Complexity in Granular Flows.- 4.The Role of Entropy in the Specification of a Powder.- 5.Discrete Mechanics.- 6. Mixing and Segregation Mechanisms in Particle Flow.- 7.Physics of Hard-Sphere Colloidal Suspensions.- 8. Deterministic Micromechanical Modelling of Failure or Flow in Discrete Planes of Densely Packed Particle Assemblies: Introductory Principles.","brand":"Springer-Verlag New York Inc.","offers":[{"title":"Default Title","offer_id":48733726703959,"sku":"9780387940656","price":97.49,"currency_code":"GBP","in_stock":false}]},{"product_id":"mechanics-9780486607542","title":"Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eAn excellent refresher volume as well as a classic introductory text, this book features hundreds of applications and design problems that illuminate fundamentals of trusses, loaded beams and cables, and related areas. Includes 334 answered problems.","brand":"Dover Publications Inc.","offers":[{"title":"Default Title","offer_id":48733800235351,"sku":"9780486607542","price":13.04,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780486607542.jpg?v=1720001750"},{"product_id":"introduction-to-classical-mechanics-9780521876223","title":"Introduction to Classical Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eSupplementary textbook for all levels of undergraduate physics courses in classical mechanics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e'This textbook serves as an introduction to standard undergraduate classical mechanics topics, including Newton's laws, energy, momentum, oscillators, rotational dynamics and angular momentum. … The real value of this book, however, lies in the extensive set of problems and worked solutions that many students tend to crave and as such is sure to be warmly welcomed.' Contemporary Physics\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface; 1. Strategies for solving problems; 2. Statics; 3. Using F=ma; 4. Oscillations; 5. Conservation of energy and momentum; 6. The Lagrangian model; 7. Central forces; 8. Angular momentum, Part I (constant L); 9. Angular momentum, Part II (general L); 10. Accelerating frames of reference; 11. Relativity (kinematics); 12. Relativity (dynamics); 13. 4-vectors; 14. General relativity; Appendices; References; Index.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48733863706967,"sku":"9780521876223","price":60.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780521876223.jpg?v=1720001917"},{"product_id":"classical-dynamics-of-particles-and-systems-9780534408961","title":"Classical Dynamics of Particles and Systems","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis classical mechanics text provides a complete account of the classical mechanics of particles, systems of particles, and rigid bodies. The authors make extensive use of vector calculus to explore topics; coverage also includes the Lagrangian formulation of mechanics.","brand":"Cengage Learning, Inc","offers":[{"title":"Default Title","offer_id":48735014715735,"sku":"9780534408961","price":64.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780534408961.jpg?v=1791378802"},{"product_id":"analysis-and-design-of-structural-bonded-joints-9780792384946","title":"Analysis and Design of Structural Bonded Joints","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e254 7. 2 AEROSPACE 261 7. 3 MARINE 265 7. 4 GROUND TRANSPORTATION 268 7. 5 CNIL 270 References 285 Index Preface Most structures consist of an assembly of a number of individual components that must be connected to                            form an integral load transmission path. These connections are often referred to as joints and can be achieved in a variety of forms, e. g. by bolting, riveting, or other forms of mechanical fastening, or by welding or brazing                            for connecting metallic elements, or by adhesive bonding. No matter what forms of connections are used in the structure, these joints are potentially the weakest points in the structure and the locations where a weight penalty                            may apply. Thus structural joints must be designed adequately to meet the specific design requirements. Adhesive bonding represents one of the most important enabling technologies for developing innovative design concepts and                         \u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface. 1. Introduction. 2. Stress Analysis  Techniques. 3. Failure Criteria and Strength Prediction.  4. Damage Tolerance. 5. Optimum Design. 6. Effect of  Transverse Stitching. 7. Selected Applications. References.  Index.","brand":"Springer","offers":[{"title":"Default Title","offer_id":48737282130263,"sku":"9780792384946","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"cambridge-international-as-a-level-mathematics-mechanics-practice-book-9781108464024","title":"Cambridge International AS  A Level Mathematics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis series has been developed specifically for the Cambridge International AS \u0026amp; A Level Mathematics (9709) syllabus to be examined from 2020.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction; 1. Velocity and acceleration; 2. Force and motion in one dimension; 3. Forces in two dimensions; 4. Friction; 5. Connected particles; 6. General motion in a straight line; 7. Momentum; 8. Work and energy; 9. The work–energy principle and power; Answers","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48738299904343,"sku":"9781108464024","price":14.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781108464024.jpg?v=1723811903"},{"product_id":"fracture-mechanics-an-introduction-9783030350970","title":"Fracture Mechanics: An Introduction","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book discusses the basic principles and traditional applications of fracture mechanics, as well as the cutting-edge research in the field over the last three decades in current topics like composites, thin films, nanoindentation, and cementitious materials.\u003cbr\u003e\u003c\/p\u003eExperimental methods play a major role in the study of fracture mechanics problems and are used for the determination of the major fracture mechanics quantities such as stress intensity factors, crack tip opening displacements, strain energy release rates, crack paths, crack velocities in static and dynamic problems. These methods include electrical resistance strain gauges, photoelasticity, interferometry techniques, geometric and interferometry moiré, and the optical method of caustics.\u003cbr\u003e\u003cbr\u003eFurthermore, numerical methods are often used for the determination of fracture mechanics parameters. They include finite and boundary element methods, Green’s function and weight functions, boundary collocation, alternating methods, and integral transforms continuous dislocations.\u003cbr\u003eThis third edition of the book covers the basic principles and traditional applications, as well as the latest developments of fracture mechanics. Featuring two new chapters and 30 more example problems, it presents a comprehensive overview of fracture mechanics, and includes numerous examples and unsolved problems. This book is suitable for teaching fracture mechanics courses at the undergraduate and graduate levels. A “solutions manual” is available for course instructors upon request.\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eChapter 1. Introduction.- Chapter 2. Linear Elastic Stress Field in Cracked Bodies.- Chapter 3. Elastic-Plastic Stress Field in Cracked Bodies.- Chapter 4. Crack Growth Based on Energy Balance.- Chapter 5. Critical Stress Intensity Factor Fracture Criterion.- Chapter 6. J-Integral and Crack Opening Displacement Fracture Criteria.- Chapter 7. Strain Energy Density Failure Criterion: Mixed-Mode Crack Growth.- Chapter 8. Dynamic Fracture.- Chapter 9. Fatigue and Environment-Assisted Fracture.- Chapter 10. Micromechanics of Fracture.- Chapter 11. Composite Materials.- Chapter 12. Thin Films.- Chapter 13. Nanoindentation.- Chapter 14. Cementitious Materials.- Chapter 15. Experimental Methods.- Chapter 16. Numerical Methods.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743033897303,"sku":"9783030350970","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030350970.jpg?v=1791480475"},{"product_id":"classical-and-quantum-dynamics-from-classical-paths-to-path-integrals-9783030367886","title":"Classical and Quantum Dynamics: From Classical","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eGraduate students seeking to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name just a few topics. Well-chosen and detailed examples illustrate perturbation theory, canonical transformations and the action principle, and demonstrate the usage of path integrals.\u003c\/p\u003e  \u003cp\u003e \u003c\/p\u003e  \u003cp\u003eThe sixth edition has been enlarged to include the Heisenberg-Euler Lagrangian, Schwinger’s source theory treatment of the low-energy π-ρ-N physics and general relativity, where Riemann’s (Einstein’s) ideas on space and time and their philosophical implications are discussed.  \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction.- The Action Principles in Mechanics.- The Action Principle in Classical Electrodynamics.- Application of the Action Principles.- Jacobi Fields, Conjugate Points.-Canonical Transformations.- The Hamilton–Jacobi Equation.- Action-Angle Variables.- The Adiabatic Invariance of the Action Variables.- Time-Independent Canonical Perturbation Theory .- Canonical Perturbation Theory with Several Degrees of Freedom.- Canonical Adiabatic Theory.- Removal of Resonances.- Superconvergent Perturbation Theory, KAM Theorem.- Poincaré Surface of Sections, Mappings.- The KAM Theorem.- Fundamental Principles of Quantum Mechanics.- Functional Derivative Approach.- Examples for Calculating Path Integrals.- Direct Evaluation of Path Integrals.- Linear Oscillator with Time-Dependent Frequency.- Propagators for Particles in an External Magnetic Field.- Simple Applications of Propagator Functions.- The WKB Approximation.- Computing the trace.- Partition Function for the Harmonic Oscillator.- Introduction to Homotopy Theory.- Classical Chern–Simons Mechanics.- Semiclassical Quantization.- The “Maslov Anomaly” for the Harmonic Oscillator.-Maslov Anomaly and the Morse Index Theorem.- Berry’s Phase.- Classical Geometric Phases: Foucault and Euler.- Berry Phase and Parametric Harmonic Oscillator.- Topological Phases in Planar Electrodynamics.- Path Integral Formulation of Quantum Electrodynamics.- Particle in Harmonic E-Field E(t) = Esin\u003ci\u003ew0\u003c\/i\u003et; Schwinger-Fock Proper-Time Method.-  The Usefulness of Lie Brackets: From Classical and Quantum Mechanics to Quantum Electrodynamics.- Green’s Function of a Spin-1\/2 Particle in a Constant External Magnetic Field.- One-Loop Effective Lagrangian in QED.- On Riemann’s Ideas on Space and Schwinger’s Treatment of Low-Energy Pion-Nucleon Physics.- The Non-Abelian Vector Gauge Particle \u003ci\u003ep\u003c\/i\u003e .- Riemann’s Result and Consequences for Physics and Philosophy.","brand":"Springer Nature Switzerland AG","offers":[{"title":"Default Title","offer_id":48743034093911,"sku":"9783030367886","price":41.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783030367886.jpg?v=1720063820"},{"product_id":"nonlinear-continuum-mechanics-an-engineering-approach-9783031152061","title":"Nonlinear Continuum Mechanics: An Engineering","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eThis textbook on Continuum Mechanics presents 9 chapters. Chapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Part I of the book includes the next 3 chapters. All the content here is valid for both solid and fluid materials. At the end of Part I, the reader should be able to set up in local spatial\/material form, the fundamental governing equations and inequalities for a Continuum Mechanics problem. Part II of the book, Chapters 6 to 10, is devoted to presenting some nonlinear constitutive models for Nonlinear Solid Mechanics, including Finite Deformation Hyperelasticity, Finite Deformation Plasticity, Finite Deformation Coupled Thermoplasticity, and Finite Deformation Contact Mechanics. The constitutive equations are derived within a thermodynamically consistent framework. Finite deformation elastoplasticity models are based on a multiplicative decomposition of the deformation gradient and the notion of an intermediate configuration. Different formulations based on the intermediate configuration, the current or spatial configuration, and the material configuration are considered. The last chapter is devoted to Variational Methods in Solid Mechanics, a fundamental topic in Computational Mechanics. The book may be used as a textbook for an advanced Master’s course on Nonlinear Continuum Mechanics for graduate students in Civil, Mechanical or Aerospace Engineering, Applied Mathematics, or Applied Physics, with an interest in Continuum Mechanics and Computational Mechanics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eChapters 1 and 2 are devoted to Tensor Algebra and Tensor Analysis. Chapter 3 is devoted to Nonlinear Kinematics, Chapter 4 deals with Stresses, and Chapter 5 addresses the Fundamental Conservation\/Balance Laws. Chapter 6 is devoted to Finite Deformation Hyperelasticity, Chapter 7 to Finite Deformation Plasticity, Chapter 8 to Finite Deformation Coupled Thermoplasticity, and Chapter 9 to Finite Deformation Contact Mechanics. The last chapter, Chapter 10, deals with Variational Methods in Solid Mechanics, including coupled thermoplasticity and contact problems.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743073349975,"sku":"9783031152061","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031152061.jpg?v=1720063993"},{"product_id":"light-and-waves-a-conceptual-exploration-of-physics-9783031240966","title":"Light and Waves: A Conceptual Exploration of","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book explores light and other types of waves, using this as a window into other aspects of physics. It emphasizes a conceptual understanding, using examples chosen from everyday life and the natural environment. For example, it explains how hummingbird feathers create shimmering colors, how musical instruments produce sound, and how atoms stick together to form molecules. It provides a unique perspective on physics by emphasizing commonalities among different types of waves, including string waves, water waves, sound waves, light waves, the matter waves of quantum mechanics, and the gravitational waves of general relativity. This book is targeted toward college non-science majors, advanced high school students, and adults who are curious about our physical world. It assumes familiarity with algebra but no further mathematics and is classroom-ready with many worked examples, exercises, exploratory puzzles, and appendices to support students from a variety of backgrounds.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“‘Light and Waves’ fills a need to educate non-science majors and laypeople on the joy of optics. This highly recommended book inspires questions, curiosity, excitement and interest in the natural universe. … this book special is the quality of the questions, the variety of worked problems with answers, the numerous exercises and crucial additional resources.” (Barry R. Masters, optica-opn.org, October 26, 2023)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eContentsPreface1 Introduction1.1 Theories of Light . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111.1.1 Extramission theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111.1.2 Particle theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121.1.3 Wave theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121.1.4 Particle-wave duality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131.1.5 Today . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141.2 Further reading . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15Part I: Waves2 Properties of Waves 2.1 Introduction to waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172.1.1 Examples of waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172.1.2 Transverse, longitudinal, and surface waves . . . . . . . . . . . . . . . . . . . 182.1.3 Amplitude and wavelength . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192.2 Speed and velocity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192.2.1 Speed and velocity of waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192.2.2 Speed of light . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212.2.3 Measuring the speed of light . . . . . . . . . . . . . . . . . . . . . . . . . . . 222.2.4 Speed of light in a medium . . . . . . . . . . . . . . . . . . . . . . . . . . . . 232.2.5 Aside: High frequency stock market trading and the speed of light . . . . . . 232.3 Frequency and period . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 242.3.1 Frequency and period of waves . . . . . . . . . . . . . . . . . . . . . . . . . . 242.3.2 Cars on a road analogy for waves . . . . . . . . . . . . . . . . . . . . . . . . . 262.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 262.5 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 273 Superposition3.1 Superposition of waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 293.1.1 The superposition principle . . . . . . . . . . . . . . . . . . . . . . . . . . . . 293.1.2 Rogue waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 303.1.3 Constructive and destructive interference . . . . . . . . . . . . . . . . . . . . 313.1.4 Beating patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 323.2 Standing waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 323.2.1 Reflection at boundaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 323.2.2 Standing waves from reflected waves and superposition . . . . . . . . . . . . . 333.2.3 Standing waves between two boundaries . . . . . . . . . . . . . . . . . . . . . 343.3 Thin film interference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 353.3.1 Structural coloration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 363.4 Diffraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 363.4.1 Diffraction through holes and around obstacles . . . . . . . . . . . . . . . . . 363.4.2 Huygen’s principle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 373.5 Diffraction and interference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 383.5.1 Double-slit experiment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 383.5.2 Double-slit experiment analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 383.5.3 Diffraction gratings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 393.5.4 Single-slit experiment and analysis . . . . . . . . . . . . . . . . . . . . . . . . 403.5.5 The Arago-Poisson spot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 403.5.6 Babinet’s principle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 413.5.7 Atmospheric diffraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 413.6 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 423.7 Further reading . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 433.8 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 434 Wave Interactions 4.1 Resonance, coupling, and damping . . . . . . . . . . . . . . . . . . . . . . . . . . . . 454.1.1 Resonance and coupling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 454.1.2 Resonance with light . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 464.1.3 Energy transfer at a constant frequency is reversible . . . . . . . . . . . . . . 484.1.4 Energy loss from damping is irreversible . . . . . . . . . . . . . . . . . . . . . 504.1.5 Aside: The Tacoma Narrows and Millennium Bridges . . . . . . . . . . . . . 514.2 Intensity spectra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 524.2.1 Spectral graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 524.2.2 Continuous and line spectra . . . . . . . . . . . . . . . . . . . . . . . . . . . . 544.3 Transmission and absorption . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 554.3.1 Transmission spectra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 554.3.2 Absorption spectra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 574.4 Doppler effect and red\/blue shift . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 594.4.1 The Doppler effect for sound waves . . . . . . . . . . . . . . . . . . . . . . . . 594.4.2 Doppler effect for other types of waves . . . . . . . . . . . . . . . . . . . . . . 614.4.3 Supersonic motion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 624.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 634.6 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 645 Mechanical Waves 5.1 Strings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 695.1.1 How waves work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 695.1.2 Speed of waves on a string . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 705.1.3 Damped waves on a string . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 715.2 Sound . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 715.2.1 Air . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 715.2.2 How sound waves work and speed of sound . . . . . . . . . . . . . . . . . . . 725.2.3 The sound spectrum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 745.2.4 Sonar and Medical ultrasound . . . . . . . . . . . . . . . . . . . . . . . . . . . 755.3 The physics of music . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 765.3.1 Physics terminology for music . . . . . . . . . . . . . . . . . . . . . . . . . . . 765.3.2 Musical instruments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 775.3.3 The Western musical scale . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 805.4 Water waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 815.4.1 Forces and wave speeds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 815.4.2 Phase velocity and group velocity . . . . . . . . . . . . . . . . . . . . . . . . . 845.4.3 Water motion in waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 855.4.4 Long wavelength water waves: tsunamis, tides, and seiches . . . . . . . . . . 875.5 Seismic waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 915.5.1 Earthquakes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 915.5.2 Types of seismic waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 915.5.3 Seismic wave speeds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 925.5.4 The Earth’s structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 925.6 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 935.7 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95Part II: Light 6 Electromagnetic waves 6.1 Light waves as electric and magnetic fields . . . . . . . . . . . . . . . . . . . . . . . . 976.1.1 Scalars, vectors, and fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 986.1.2 Static electric fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 986.1.3 Static magnetic fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1006.1.4 Dynamic electric and magnetic fields . . . . . . . . . . . . . . . . . . . . . . . 1026.1.5 Electromagnetic waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1036.1.6 How light waves work . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1036.1.7 Light in a medium . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1046.2 The electromagnetic spectrum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1046.3 Scattering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1066.3.1 White objects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1066.3.2 Rayleigh scattering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1076.4 Polarization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1086.4.1 Electromagnetic waves can be polarized . . . . . . . . . . . . . . . . . . . . . 1086.4.2 Polarized light from selective absorption . . . . . . . . . . . . . . . . . . . . . 1096.4.3 Other sources of polarized light . . . . . . . . . . . . . . . . . . . . . . . . . . 1096.4.4 Birefringence and optical activity . . . . . . . . . . . . . . . . . . . . . . . . . 1106.4.5 Between crossed polarizers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1106.4.6 Circular polarization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1116.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1126.6 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1137 Photons 7.1 Quantum mechanics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1157.1.1 Problems with classical mechanics . . . . . . . . . . . . . . . . . . . . . . . . 1157.1.2 Photons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1167.1.3 Quantum interpretation of the double-slit experiment . . . . . . . . . . . . . 1187.2 Momentum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1197.2.1 Classical momentum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1197.2.2 Photon momentum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1197.2.3 Radiometers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1207.2.4 Solar sails . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1207.2.5 Laser tweezers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1217.3 Matter waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1227.3.1 The de Broglie equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1227.3.2 Matter wave speeds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1237.3.3 Particle in a box . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1237.3.4 The hydrogen atom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1267.3.5 Atomic spectra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1287.4 Fluorescence, phosphorescence, and lasers . . . . . . . . . . . . . . . . . . . . . . . . 1297.4.1 Fluorescence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1297.4.2 Phosphorescence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1307.4.3 Lasers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1307.5 Quantum mechanics and information . . . . . . . . . . . . . . . . . . . . . . . . . . . 1317.5.1 Heisenberg uncertainty principle . . . . . . . . . . . . . . . . . . . . . . . . . 1317.5.2 Entanglement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1337.6 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1347.7 Further reading . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1367.8 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1368 Blackbody radiation 8.1 Blackbody radiation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1398.1.1 Wien’s displacement law . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1398.1.2 Stefan-Boltzmann Law . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1418.1.3 Radiation coupling for black and white objects . . . . . . . . . . . . . . . . . 1418.1.4 Two-way blackbody radiation . . . . . . . . . . . . . . . . . . . . . . . . . . . 1428.2 The greenhouse effect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1438.2.1 Greenhouse effects on Mars and Venus . . . . . . . . . . . . . . . . . . . . . . 1448.2.2 Global warming . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1458.3 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1468.4 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1478.4.1 The Earth’s energy budget . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147Part III: Rays 9 Shadows and Pinhole cameras 9.1 Shadows . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1519.1.1 Umbra and penumbra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1519.2 Pinhole camera . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1539.3 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1539.4 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15410 Reflection 10.1 Reflection in general . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15510.1.1 Requirements for reflection . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15510.1.2 Law of reflection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15610.2 Flat reflectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15710.2.1 One mirror . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15710.2.2 Retroreflectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15910.3 Concave reflectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16010.3.1 Parabolic reflectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16010.3.2 Concave spherical mirrors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16110.4 Convex spherical mirrors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16410.5 Mirrors, inversion, and symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16510.6 Fermat’s principle of least time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16610.7 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16710.8 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16811 Refraction11.1 Refractive index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17111.2 Normal incidence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17111.3 Incidence at an angle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17311.3.1 Snell’s Law . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17311.3.2 Snell’s Law in use, and total internal reflection . . . . . . . . . . . . . . . . . 17411.3.3 Examples of total internal reflection . . . . . . . . . . . . . . . . . . . . . . . 17511.4 Convex lenses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17511.5 Concave lenses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17711.6 Dispersion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17711.7 Fermat’s principle of least time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17811.8 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17811.9 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17912 Vision 12.1 Color . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18312.1.1 Color wheel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18312.1.2 Addition of light and the RGB color scheme . . . . . . . . . . . . . . . . . . . 18412.1.3 Light subtraction due to pigments and the CMYK color scheme . . . . . . . 18512.1.4 HSV color scheme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18712.2 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18812.3 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189Appendices A NumbersA.1 Scientific notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191A.1.1 Scientific notation on a calculator . . . . . . . . . . . . . . . . . . . . . . . . . 191A.2 More calculator advice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192A.3 Precision . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192B Units B.1 Units are your friends . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195B.2 The metric system . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195B.3 Unit math . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197B.4 Unit conversion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197B.5 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199C Algebra C.1 Solving problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201C.2 Expressions and equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201C.2.1 Expersions and equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201C.2.2 Manipulating expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202C.2.3 Manipulating equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203C.3 Exponents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 204D Geometry D.1 Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205D.1.1 Similar triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205D.1.2 Right triangles and trigonometry . . . . . . . . . . . . . . . . . . . . . . . . . 205D.2 Areas and volumes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743076757847,"sku":"9783031240966","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031240966.jpg?v=1791480650"},{"product_id":"the-physics-of-planet-earth-and-its-natural-wonders-9783031334252","title":"The Physics of Planet Earth and Its Natural","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003ci\u003eFrom earthquakes to the northern lights and tsunamis to glacier movement, the author explains thousands of phenomena in the world around us. All of this is done using language that is simple and understandable, and at the same time this book does not try to deceive the reader, as materials of this nature often do, but uses exact physical formulas where they are needed.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eThis book serves as an invaluable reference for physics teachers and should inspire high school students to study physics. Many of them will very likely be able to understand that riveting events and phenomena lie behind those very same formulas that just yesterday seemed so boring.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eThis is an excellent and unique way of easily submerging oneself into the world of science and a non-stop intellectual challenge that lures the reader in much more than any game of chess.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003eSir Andre Geim,\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e2010 Nobel Prize Laureate in Physics\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eThere are plenty of high school students who continue to find science interesting today. Dmitry Livanov’s book, which is both useful and held in high regard, is written precisely with these young people in mind.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eThis book can be used by teachers who want to expand the narrow scope of subject material in their classes and enable students to broaden their perspective about how to apply the laws of physics in order to understand such a complex natural object as planet Earth. This book will be of interest to high school students and graduates of high schools, specialized high schools and preparatory schools who want to test their understanding of physics, astronomy and geography. This book strengthens the foundation of scientific knowledge in today’s world, which repeatedly tests the strength of the collective body of science.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003eEvgeniy Yamburg,\u003c\/p\u003eMember of the Russian Academy of Education\u003cp\u003e\u003c\/p\u003e\u003cp\u003ePrincipal, School #109, Moscow\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e\u003ci\u003eDmitry Livanov was able to write a book that is interesting both for those who are just beginning to become familiar with physics, and for those who for various reasons have forgotten much of what they knew at one time. He succeeded in doing this because he himself knows and loves physics and because physics—as the most important part of human culture—is interesting to him.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eI hope that readers of this book will not only recognize the usefulness and importance of physics, but also appreciate its beauty and allure.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003eAndrey Furchenko,\u003c\/p\u003e\u003cp\u003eDoctor of Physics and Mathematics,\u003c\/p\u003e\u003cp\u003eAide to the President of the Russian Federation\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e1 The Earth in the Solar System.- 2 The Earth and the Moon.- 3 The Depths and the Surface of the Earth.- 4 The Earth’s Atmosphere.- 5 The Ocean.- 6 Fresh Water on the Earth.- 7 The Weather and Climate.\u003c\/p\u003e\u003cbr\u003e","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743082066263,"sku":"9783031334252","price":23.74,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031334252.jpg?v=1791480668"},{"product_id":"how-space-physics-really-works-lessons-from-well-constructed-science-fiction-9783031339493","title":"How Space Physics Really Works: Lessons from","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThere is a huge gulf between the real physics of space travel and the way it is commonly portrayed in movies and TV shows. That’s not because space physics is difficult or obscure – most of the details were understood by the end of the 18th century – but because it can often be bafflingly counter-intuitive for a general audience. The purpose of this book isn’t to criticize or debunk popular sci-fi depictions, which can be very entertaining, but to focus on how space physics really works. This is done with the aid of numerous practical illustrations taken from the works of serious science fiction authors – from Jules Verne and Arthur C. Clarke to Larry Niven and Andy Weir – who have taken positive pleasure in getting their scientific facts right.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“This slim book has the appealing premise of looking at the basics of space physics, from gravity through rocket science to the nature of a vacuum, by using examples from 'well-constructed science fiction'. ... a great read both for those who enjoy science fiction (or want to write it) and those wanting to know a little more of the realities of potential life in space.” (Popular Science, popsciencebooks.blogspot.com, July 24, 2023)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eChapter 1: Physics in Science Fiction \u003cbr\u003eChapter 2: Gravity \u003cbr\u003eChapter 3: Orbital Dynamics\u003cbr\u003eChapter 4: Rocket Science \u003cbr\u003eChapter 5: Living in a Vacuum","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743082623319,"sku":"9783031339493","price":18.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783031339493.jpg?v=1720064034"},{"product_id":"machine-learning-control-taming-nonlinear-dynamics-and-turbulence-9783319406237","title":"Machine Learning Control – Taming Nonlinear","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis is the first textbook on a generally applicable control strategy for turbulence and other complex nonlinear systems. The approach of the book employs powerful methods of machine learning for optimal nonlinear control laws. This machine learning control (MLC) is motivated and detailed in Chapters 1 and 2. In Chapter 3, methods of linear control theory are reviewed. In Chapter 4, MLC is shown to reproduce known optimal control laws for linear dynamics (LQR, LQG). In Chapter 5, MLC detects and exploits a strongly nonlinear actuation mechanism of a low-dimensional dynamical system when linear control methods are shown to fail. Experimental control demonstrations from a laminar shear-layer to turbulent boundary-layers are reviewed in Chapter 6, followed by general good practices for experiments in Chapter 7. The book concludes with an outlook on the vast future applications of MLC in Chapter 8. Matlab codes are provided for easy reproducibility of the presented results. The book includes interviews with leading researchers in turbulence control (S. Bagheri, B. Batten, M. Glauser, D. Williams) and machine learning (M. Schoenauer) for a broader perspective. All chapters have exercises and supplemental videos will be available through YouTube.    \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.- 1 Introduction.- 1.1 Feedback in engineering and living systems.- 1.2 Benefits of feedback control.- 1.3 Challenges of feedback control.- 1.4 Feedback turbulence control is a grand challenge problem.- 1.5 Nature teaches us the control design.- 1.6 Outline of the book.- 1.7 Exercises.- 2 Machine learning control (MLC).- 2.1 Methods of machine learning.- 2.2 MLC with genetic programming.- 2.3 Examples.- 2.4 Exercises.- 2.5 Suggested reading.- 2.6 Interview with Professor Marc Schoenauer.- 3 Methods of linear control theory.- 3.1 Linear systems.- 3.2 Full-state feedback.- Linear quadratic regulator (LQR).- 3.3 Sensor-based state estimation.- Kalman filtering.- 3.4 Sensor-based feedback.- Linear quadratic Gaussian (LQG).- 3.5 System Identification and Model Reduction.- 3.6 Exercises.- 3.7 Suggested reading.- 4 Benchmarking MLC against linear control.- 4.1 Comparison of MLC with LQR on a linear oscillator.- 4.2 Comparison of MLC with Kalman filter on a noisy linear oscillator.- 4.3 Comparison of MLC with LQG for sensor-based feedback.- 4.4 Modifications for small nonlinearity.- 4.5 Exercises.- 4.6 Interview with Professor Shervin Bagheri.- 5 Taming nonlinear dynamics with MLC.- 5.1 Generalized mean-field system.- 5.2 Machine learning control.- 5.3 Derivation outline for the generalized mean-field model.- 5.4 Alternative control approaches.- 5.5 Exercises.- 5.6 Suggested reading.- 5.7 Interview with Professor Mark N. Glauser.- 6 Taming real world flow control experiments with MLC.- 6.1 Separation control over a backward-facing step.- 6.2 Separation control of turbulent boundary layers.- 6.3 Control of mixing layer growth.- 6.4 Alternative model-based control approaches.- 6.5 Implementation of MLC in experiments.- 6.6 Suggested reading.- 6.7 Interview with Professor David Williams.- 7 MLC tactics and strategy.- 7.1 The ideal flow control experiment.- 7.2 Desiderata of the control problem — from the definition to hardware choices.- 7.3 Time scales of MLC.- 7.4 MLC parameters and convergence.- 7.5 The imperfect experiment.- 8 Future developments.- 8.1 Methodological advances of MLC.- 8.2 System-reduction techniques for MLC — Coping with high-dimensional input and output.- 8.3 Future applications of MLC.- 8.4 Exercises.- 8.5 Interview with Professor Belinda Batten.- Glossary.- Symbols.- Abbreviations.- Matlab® Code: OpenMLC.- Bibliography.- Index.  \u003cstrong\u003e  \u003c\/strong\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cstrong\u003e  \u003c\/strong\u003e","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743095173463,"sku":"9783319406237","price":67.49,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783319406237.jpg?v=1791481718"},{"product_id":"variational-approach-to-gravity-field-theories-from-newton-to-einstein-and-beyond-9783319512099","title":"Variational Approach to Gravity Field Theories:","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book offers a detailed and stimulating account of the Lagrangian, or variational, approach to general relativity and beyond. The approach more usually adopted when describing general relativity is to introduce the required concepts of differential geometry and derive the field and geodesic equations from purely geometrical properties. Demonstration of the physical meaning then requires the weak field approximation of these equations to recover their Newtonian counterparts. The potential downside of this approach is that it tends to suit the mathematical mind and requires the physicist to study and work in a completely unfamiliar environment. In contrast, the approach to general relativity described in this book will be especially suited to physics students. After an introduction to field theories and the variational approach, individual sections focus on the variational approach in relation to special relativity, general relativity, and alternative theories of gravity. Throughout the text, solved exercises and examples are presented. The book will meet the needs of both students specializing in theoretical physics and those seeking a better understanding of particular aspects of the subject.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e“The first impression is good, also because all the proposed exercises and examples are fully solved. … The author’s approach and writing is clear, straightforward, and with specific attention to the connection with the evolution of the physical principles that lie at the basis of gravitation. The book is appropriate for university students, as well as, for more specialists or practitioners of matter.” (Gabriella Bernardi, Astrocom et al., astrocometal.blogspot.de, July, 2017)\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePart I Introduction.- The character of a scientific theory.- Field Theories and Variational approach.- Fundamental Principles and Field Theories.- Exercises.- Part II Special Relativity.- Motivations.- Mathematical model.- Electromagnetism in SR.- Exercises.- Part III General Relativity.- Motivations.-  Lagrangian formulation of GR.- Applications.- Exercises.- Part IV Beyond Relativity.- Motivations.- Theory and Experiments.- Exercises.","brand":"Springer International Publishing AG","offers":[{"title":"Default Title","offer_id":48743096811863,"sku":"9783319512099","price":33.74,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783319512099.jpg?v=1791481723"},{"product_id":"introduction-to-the-classical-theory-of-particles-and-fields-9783540409335","title":"Introduction to the Classical Theory of Particles","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis volume is intended as a systematic introduction to gauge field theory for advanced undergraduate and graduate students in high energy physics. The discussion is restricted to the classical (non-quantum) theory in Minkowski spacetime. Particular attention has been given to conceptual aspects of field theory, accurate definitions of basic physical notions, and thorough analysis of exact solutions to the equations of motion for interacting systems.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews:\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\"Russian physicist Kosyakov has written an introduction to classical gauge theory for students of high energy or particle physics. … Extensive reference list. A valuable addition to a university library supporting a program in high energy theory; highly mathematical, so most useful as a resource for undergraduate programs. Summing Up: Recommended. Graduate students; professionals.\" (R. L. Stearns, CHOICE, Vol. 44 (10), June, 2007)\u003c\/p\u003e \u003cp\u003e\"The classical theory of gauge fields is an important subject that has numerous applications in modern physics. … A nice feature of this book is that this is self contained. All the necessary definitions as well as the technical tools are provided by the author in the main body of the book. … I enjoyed reading the book. … Overall the monograph … can be warmly recommended to any serious student of electrodynamics and gauge theory and to their instructors alike.\" (Yuri N. Obukhov, Annalen der Physik, Vol. 16 (12), 2007)\u003c\/p\u003e \u003cp\u003e\"Each chapter contains problems and final notes, a useful guide to the history of the subject. … The volume is intended to be an introduction for advanced undergraduate and graduate students in high energy physics. … We mention that it is timely elaborate a unified view of the classical self-interaction problems in classical gauge theories with particular reference to the electrodynamics of point electrons and Yang-Mills interaction of point quarks. The present work is a valuable contribution to this task.\" (Petre P. Teodorescu, Zentralblatt MATH, Vol. 1114 (16), 2007)\u003c\/p\u003e \u003cp\u003e\"This book is an introduction to classical field theory. Although it was designed for advanced undergraduate and graduate students, researchers could also benefit from this book. It is intended for mathematical physicists and theoretical physicists. Classical gauge theories are discussed in detail, with great emphasis on self-interactions. … In summary, this is a useful introduction to classical gauge theories that can be recommended both to students (theoretical or mathematical physics), and to specialists and researchers, as a reference book.\" (Giuseppe Nardelli, Mathematical Reviews, Issue 2008 c)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eGeometry of Minkowski Space.- Relativistic Mechanics.- Electromagnetic Field.- Solutions to Maxwell's Equations.- Lagrangian Formalism in Electrodynamics.- Self-Interaction in Electrodynamics.- Lagrangian Formalism for Gauge Theories.- Solutions to the Yang?Mills Equations.- Self-Interaction in Gauge Theories.- Generalizations.- Mathematical Appendices.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":48743130300759,"sku":"9783540409335","price":999.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"fluid-mechanics-an-introduction-to-the-theory-of-fluid-flows-9783642090486","title":"Fluid Mechanics: An Introduction to the Theory of","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFluid mechanics embraces engineering, science, and medicine. This book’s logical organization begins with an introductory chapter summarizing the history of fluid mechanics and then moves on to the essential mathematics and physics needed to understand and work in fluid mechanics. Analytical treatments are based on the Navier-Stokes equations. The book also fully addresses the numerical and experimental methods applied to flows. This text is specifically written to meet the needs of students in engineering and science. Overall, readers get a sound introduction to fluid mechanics.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews:\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\"Durst … cover in a modest volume a wide spectrum of topics including incompressible and compressible flows, gas dynamics, heat transfer, numerical solutions, flows of small and large Reynolds numbers, turbulence, and fluid-flow measurements. … the volume will be valuable for graduate students pursuing fluid mechanics research. It provides thorough analytical coverage of a wide range of fluid mechanics topics and offers brief introductions to numerical and experimental topics. Summing Up: Highly recommended. Upper-division undergraduate through professional collections.\" (R. N. Laoulache, Choice, Vol. 46 (9), May, 2009)\u003c\/p\u003e\u003cp\u003e“Based on the German edition from year 2006, the translated English edition was presented in 2008. It contains 21 chapters. … The book gives a comprehensive survey of the large field of fluid dynamics. It is very useful for students in engineering and physics.” (Bernd Platzer, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 90 (12), 2010)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction, Importance and Development of Fluid Mechanics.- Mathematical Basics.- Physical Basics.- Basics of Fluid Kinematics.- Basic Equations of Fluid Mechanics.- Hydrostatics and Aerostatics.- Similarity Theory.- Integral Forms of the Basic Equations.- Stream Tube Theory.- Potential Flows.- Wave Motions in Non-Viscous Fluids.- to Gas Dynamics.- Stationary, One-Dimensional Fluid Flows of Incompressible, Viscous Fluids.- Time-Dependent, One-Dimensional Flows of Viscous Fluids.- Fluid Flows of Small Reynolds Numbers.- Flows of Large Reynolds Numbers Boundary-Layer Flows.- Unstable Flows and Laminar-Turbulent Transition.- Turbulent Flows.- Numerical Solutions of the Basic Equations.- Fluid Flows with Heat Transfer.- to Fluid-Flow Measurement.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":48743133905239,"sku":"9783642090486","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783642090486.jpg?v=1791482045"},{"product_id":"basic-concepts-in-physics-from-the-cosmos-to-quarks-9783662623152","title":"Basic Concepts in Physics: From the Cosmos to","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book is the second edition of an excellent undergraduate-level overview of classical and modern physics, intended  for students of physics and related subjects, and also perfectly suited for the education of physics teachers. The twelve-chapter book begins with Newton’s laws of motion and subsequently covers topics such as thermodynamics and statistical physics, electrodynamics, special and general relativity, quantum mechanics  and cosmology , the standard model and quantum chromodynamics. The writing is lucid, and the theoretical discussions are easy to follow for anyone comfortable with standard mathematics.\u003c\/p\u003eAn important addition in this second edition is a set of exercises and problems, distributed throughout the book. Some of the problems aim to complement the text, others to provide readers with additional useful tools for tackling new or more advanced topics. Furthermore, new topics have been added in several chapters; for example, the discovery of extra-solar planets from the wobble of their mother stars, a discussion of the Landauer principle relating information erasure to an increase of entropy, quantum logic, first order quantum corrections to the ideal gas equation of state due to the Fermi-Dirac and Bose-Einstein statistics. Both gravitational lensing and the time-correction in geo-positioning satellites are explained as theoretical applications of special and  general relativity. The discovery of gravitational waves, one of the most important achievements of physical sciences, is presented as well.\u003cp\u003e \u003c\/p\u003eProfessional scientists, teachers, and researchers will also want to have this book on their bookshelves, as it provides an excellent refresher on a wide range of topics and serves as an ideal starting point for expanding one’s knowledge of new or unfamiliar fields. Readers of this book will not only learn much about physics, they will also learn to love it.\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews of the first edition:\u003c\/p\u003e\u003cp\u003eSelected by Choice magazine as an \"Outstanding Academic Title\" for 2014\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e“This is a very high-quality presentation. The writing is lucid, and the theoretical discussions are easy to follow for anyone comfortable with the mathematics. … the work is a valuable addition to college libraries. Professionals and researchers will also want it on their bookshelves; it provides an excellent refresher on a wide range of topics and can serve as a good starting point for expanding knowledge of new or unfamiliar subjects. Summing Up: Highly recommended. Lower-division undergraduates and above.” (A. Spero, Choice, Vol. 51 (9), May, 2014)\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e“It describes all the major developments and theories regarding the description of the universe we live on, from the very small to the very large. … I highly recommend this book to any physicist. It will not only be a fun and an easy read but also a useful revision of all the main concepts in physics. Undergraduate and graduate physics students definitely should read it. … appropriate for scientists in other fields who have a genuine interest for physics.” (Monica Pierri-Galvao, Contemporary Physics, April, 2014)\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eGravitation and Newton Laws.- Entropy, Statistical Physics and Information.- Electromagnetism and Maxwell's Equations.- Electromagnetic Waves.- Special Theory of Relativity.- Atoms and Quantum Theory.- Quantum Electrodynamics.- Fermi-Dirac and Bose-Einstein Statistics.- Four Fundamental Forces.- General Relativity and Cosmology.- Unification of the Forces of Nature.- Physics and Life.","brand":"Springer-Verlag Berlin and Heidelberg GmbH \u0026 Co. KG","offers":[{"title":"Default Title","offer_id":48743142687063,"sku":"9783662623152","price":44.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783662623152.jpg?v=1720064297"},{"product_id":"elementary-engineering-fracture-mechanics-9789024725809","title":"Elementary engineering fracture mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eWhen asked to start teaching a course on engineering fracture mechanics, I realized that a concise textbook, giving a general oversight of the field, did not exist. The explanation is undoubtedly that the subject is still in a stage of early development, and that the methodologies have still a very limited applicability. It is not possible to give rules for general application of fracture mechanics concepts. Yet our comprehension of cracking and fracture beha viour of materials and structures is steadily increasing. Further developments may be expected in the not too distant future, enabling useful prediction of fracture safety and fracture characteristics on the basis of advanced fracture mechanics procedures. The user of such advanced procedures m\\lst have a general understanding of the elementary concepts, which are provided by this volume. Emphasis was placed on the practical application of fracture mechanics, but it was aimed to treat the subject in a way that may interest both metallurgists and engineers. For the latter, some general knowledge of fracture mechanisms and fracture criteria is indispensable for an apprecia­ tion of the limita tions of fracture mechanics. Therefore a general discussion is provided on fracture mechanisms, fracture criteria, and other metal­ lurgical aspects, without going into much detail. Numerous references are provided to enable a more detailed study of these subjects which are still in a stage of speculative treatment.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eI Principles.- 1 Summary of basic problems and concepts.- 1.1 Introduction.- 1.2 A crack in a structure.- 1.3 The stress at a crack tip.- 1.4 The Griffith criterion.- 1.5 The crack opening displacement criterion.- 1.6 Crack propagation.- 1.7 Closure.- 2 Mechanisms of fracture and crack growth.- 2.1 Introduction.- 2.2 Cleavage fracture.- 2.3 Ductile fracture.- 2.4 Fatigue cracking.- 2.5 Environment assisted cracking.- 2.6 Service failure analysis.- 3 The elastic crack-tip stress field.- 3.1 The Airy stress function.- 3.2 Complex stress functions.- 3.3 Solution to crack problems.- 3.4 The effect of finite size.- 3.5 Special cases.- 3.6 Elliptical cracks.- 3.7 Some useful expressions.- 4 The crack tip plastic zone.- 4.1 The Irwin plastic zone correction.- 4.2 The Dugdale approach.- 4.3 The shape of the plastic zone.- 4.4 Plane stress versus plane strain.- 4.5 Plastic constraint factor.- 4.6 The thickness effect.- 5 The energy principle.- 5.1 The energy release rate.- 5.2 The criterion for crack growth.- 5.3 The crack resistance (R curve).- 5.4 Compliance.- 5.5 The J integral.- 5.6 Tearing modulus.- 5.7 Stability.- 6 Dynamics and crack arrest.- 6.1 Crack speed and kinetic energy.- 6.2 The dynamic stress intensity and elastic energy release rate.- 6.3 Crack branching.- 6.4 The principles of crack arrest.- 6.5 Crack arrest in practice.- 6.6 Dynamic fracture toughness.- 7 Plane strain fracture toughness.- 7.1 The standard test.- 7.2 Size requirements.- 7.3 Non-linearity.- 7.4 Applicability.- 8 Plane stress and transitional behaviour.- 8.1 Introduction.- 8.2 An engineering concept of plane stress.- 8.3 The R curve concept.- 8.4 The thickness effect.- 8.5 Plane stress testing.- 8.6 Closure.- 9 Elastic-plastic fracture.- 9.1 Fracture beyond general yield.- 9.2 The crack tip opening displacement.- 9.3 The possible use of the CTOD criterion.- 9.4 Experimental determination of CTOd.- 9.5 Parameters affecting the critical CTOD.- 9.6 Limitations, fracture at general yield.- 9.7 Use of the J integral.- 9.8 Limitations of the J integral.- 9.9 Measurement of JIc and JR.- 9.10 Closure.- 10 Fatigue crack propagation.- 10.1 Introduction.- 10.2 Crack growth and the stress intensity factor.- 10.3 Factors affecting crack propagation.- 10.4 Variable amplitude service loading.- 10.5 Retardation models.- 10.6 Similitude.- 10.7 Small cracks.- 10.8 Closure.- 11 Fracture resistance of materials.- 11.1 Fracture criteria.- 11.2 Fatigue cracking criteria.- 11.3 The effect of alloying and second phase particles.- 11.4 Effect of processing, anisotropy.- 11.5 Effect of temperature.- 11.6 Closure.- II Applications.- 12 Fail-safety and damage tolerance.- 12.1 Introduction.- 12.2 Means to provide fail-safety.- 12.3 Required information for fracture mechanics approach.- 12.4 Closure.- 13 Determination of stress intensity factors.- 13.1 Introduction.- 13.2 Analytical and numerical methods.- 13.3 Finite element methods.- 13.4 Experimental methods.- 14 Practical problems.- 14.1 Introduction.- 14.2 Through cracks emanating from holes.- 14.3 Corner cracks at holes.- 14.4 Cracks approaching holes.- 14.5 Combined loading.- 14.6 Fatigue crack growth under mixed mode loading.- 14.7 Biaxial loading.- 14.8 Fracture toughness of weldments.- 14.9 Service failure analysis.- 15 Fracture of structures.- 15.1 Introduction.- 15.2 Pressure vessels and pipelines.- 15.3 “Leak-bcfore-break” criterion.- 15.4 Material selection.- 15.5 The use of the J integral for structural analysis.- 15.6 Collapse analysis.- 15.7 Accuracy of fracture calculations.- 16 Stiffened sheet structures.- 16.1 Introduction.- 16.2 Analysis.- 16.3 Fatigue crack propagation.- 16.4 Residual strength.- 16.5 The R curve and the residual strength of stiffened panels.- 16.6 Other analysis methods.- 16.7 Crack arrest.- 16.8 Closure.- 17 Prediction of fatigue crack growth.- 17.1 Introduction.- 17.2 The load spectrum.- 17.3 Approximation of the stress spectrum.- 17.4 Generation of a stress history.- 17.5 Crack growth integration.- 17.6 Accuracy of predictions.- 17.7 Safety factors.- Author index.","brand":"Springer","offers":[{"title":"Default Title","offer_id":48743232274775,"sku":"9789024725809","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789024725809.jpg?v=1791482910"},{"product_id":"turbulent-flow-computation-9789048159819","title":"Turbulent Flow Computation","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn various branches of fluid mechanics, our understanding is inhibited by the presence of turbulence. Although many experimental and theoretical studies have significantly helped to increase our physical understanding, a comp- hensive and predictive theory of turbulent flows has not yet been established. Therefore, the prediction of turbulent flow relies heavily on simulation stra- gies. The development of reliable methods for turbulent flow computation will have a significant impact on a variety of technological advancements. These range from aircraft and car design, to turbomachinery, combustors, and process engineering. Moreover, simulation approaches are important in materials - sign, prediction of biologically relevant flows, and also significantly contribute to the understanding of environmental processes including weather and climate forecasting. The material that is compiled in this book presents a coherent account of contemporary computational approaches for turbulent flows. It aims to p- vide the reader with information about the current state of the art as well as to stimulate directions for future research and development. The book puts part- ular emphasis on computational methods for incompressible and compressible turbulent flows as well as on methods for analysing and quantifying nume- cal errors in turbulent flow computations. In addition, it presents turbulence modelling approaches in the context of large eddy simulation, and unfolds the challenges in the field of simulations for multiphase flows and computational fluid dynamics (CFD) of engineering flows in complex geometries. Apart from reviewing main research developments, new material is also included in many of the chapters.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface. Contributing Authors. 1. Under-Resolution and  Diagnostics in Spectral Simulations of Complex-Geometry Flows; R.M.  Kirby, G.E. Karniadakis. 2. High Resolution Methods for  Computing Turbulent Flows; W.J. Rider, D. Drikakis. 3.  Preserving symmetry in convection-diffusion schemes; R.W.C.P.  Verstappen, A.E.P. Veldman. 4. Analysis and control of errors  in the numerical simulation of turbulence; S. Ghosal. 5.  Designing Adaptive Low-Dissipative High Order Schemes for Long-time  Integrations; H.C. Yee, B. Sjögreen. 6. Building  Blocks for Reliable Complex Nonlinear Numerical Simulations; H.C.  Yee. 7. Alpha-modeling strategy for LES of turbulent mixing;  B.J. Geurts, D.D. Holm. 8. Forward-in-Time Differencing  for Fluids: Simulation of geophysical turbulence; P.K.  Smolarkiewicz, J.M. Prusa. 9. Direct Numerical  Simulations of Multiphase Flows; G. Tryggvason, et al.  10. Examples of Contemporary CFD Simulations; S.R.  Chakravarthy, U.C.Goldberg, P. Batten.","brand":"Springer","offers":[{"title":"Default Title","offer_id":48743234994519,"sku":"9789048159819","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789048159819.jpg?v=1791482920"},{"product_id":"lagrangian-and-hamiltonian-mechanics-9789810226725","title":"Lagrangian And Hamiltonian Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book takes the student from the Newtonian mechanics typically taught in the first and the second year to the areas of recent research. The discussion of topics such as invariance, Hamiltonian-Jacobi theory, and action-angle variables is especially complete; the last includes a discussion of the Hannay angle, not found in other texts. The final chapter is an introduction to the dynamics of nonlinear nondissipative systems. Connections with other areas of physics which the student is likely to be studying at the same time, such as electromagnetism and quantum mechanics, are made where possible. There is thus a discussion of electromagnetic field momentum and mechanical“hidden” momentum in the quasi-static interaction of an electric charge and a magnet. This discussion, among other things explains the“(e\/c)A” term in the canonical momentum of a charged particle in an electromagnetic field. There is also a brief introduction to path integrals and their connection with Hamilton's principle, and the relation between the Hamilton-Jacobi equation of mechanics, the eikonal equation of optics, and the Schrödinger equation of quantum mechanics.The text contains 115 exercises. This text is suitable for a course in classical mechanics at the advanced undergraduate level.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eNewton's laws; the principle of virtual work and D'Alembert's principle; Lagrange's equations; the principle of stationary action or Hamilton's principle; invariance transformations and constants of the motion; Hamilton's equations; canonical transformations; Hamilton-Jacobi theory; action-angle variables; non-integrable systems.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48743272644951,"sku":"9789810226725","price":999.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789810226725.jpg?v=1791483749"},{"product_id":"introduction-to-dynamics-9789811060946","title":"Introduction to Dynamics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis book is intended to serve as a text on dynamics for undergraduate students of engineering. The book provides in-depth discussions of the fundamentals of Newtonian mechanics, more commonly known as dynamics. Drawing on the author’s extensive experience in teaching the subject of dynamics at two Indian Institutes of Technology (IITs) and the Indian Institute of Engineering Science and Technology (IIEST), the book contains 498 line diagrams, 123 worked-out examples and 222 exercise problems. The answers to select exercise problems are provided at the end of the book. A wealth of detailed illustrations make the book ideally suited for both self self-study and classroom use at both introductory and secondary levels. Thus the book offers a valuable resource for both students and teachers of dynamics, addressing the main topics covered in core level courses on ‘Dynamics’ for students of civil, mechanical and aerospace engineering across the globe.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eChapter 1: \u003c\/b\u003eIntroduction to the Science of Motion.- \u003cb\u003eChapter 2:\u003c\/b\u003e Kinematics of Particles.- \u003cb\u003eChapter 3: \u003c\/b\u003eKinetics of Particles.- \u003cb\u003eChapter 4:\u003c\/b\u003e Work and Energy.- Chapter 5: Impulse and Momentum.- \u003cb\u003eChapter 6:\u003c\/b\u003e Dynamics of Rigid Bodies in Plane Motion.- \u003cb\u003eChapter 7:\u003c\/b\u003e Special Topics.- \u003cb\u003eAppendix: A\u003c\/b\u003e.- Unit Multiplies.- Important Physical Quantities.- Moment of Inertia of Rigid Bodies.\u003cb\u003eAppendix B: \u003c\/b\u003eAnswers to Exercise problems.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"Springer Verlag, Singapore","offers":[{"title":"Default Title","offer_id":48743274086743,"sku":"9789811060946","price":53.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789811060946.jpg?v=1720064872"},{"product_id":"advanced-continuum-theories-and-finite-element-analyses-9789811201486","title":"Advanced Continuum Theories And Finite Element","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis comprehensive volume presents a unified framework of continuum theories. It indicates that (i) microcontinuum theories (micromorphic and micropolar theories) are natural extension of classical continuum mechanics, and (ii) classical continuum mechanics is a special case of microcontinuum theories when the deformable material point is idealized as a single mathematical point. The kinematics and basic laws are rigorously derived. Based on axiomatic approach, constitutive theory is systematically derived for various kinds of materials, ranging from Stokesian fluid to thermo-visco-elastic-plastic solid. Material force and Thermomechanical-electromagnetic coupling are introduced and discussed. Moreover, general finite element methods for large-strain thermomechanical coupling physical phenomena are systematically formulated. Also, non-classical continuum theories (Nonlocal Theory, Mechanobiology, 4D printing, Poromechanics, and Non-Self-Similar Crack Propagation) are rigorously formulated with applications and demonstrated numerically.As an advanced monograph, this unique compendium can also be used as a textbook for several graduate courses, including continuum mechanics, finite element methods, and advanced engineering science theories. Extensive problems are provided to help students to better understand the topics covered.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48743275823447,"sku":"9789811201486","price":130.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789811201486.jpg?v=1720064880"},{"product_id":"fundamentals-of-gas-dynamics-9789811690877","title":"Fundamentals of Gas Dynamics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThis textbook for courses in gas dynamics will be of interest to students and teachers in aerospace and mechanical engineering disciplines. It provides an in-depth explanation of compressible flows and ties together various concepts to build an understanding of the fundamentals of gas dynamics. The book is written in an easy to understand manner, with pedagogical aids such as chapter overviews, summaries, and descriptive and objective questions to help students evaluate their progress. The book contains example problems as well as end-of-chapter exercises. Detailed bibliographies are included at the end of each chapter to provide students with further resources. The book can be used as a core text in engineering coursework and also in professional development courses. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eKinetic Theory of Gases and Fluid Properties.- Conservation Laws for Inviscid Flows.- Thermodynamics of Compressible Flows.- Propagation of Acoustic Wave.- Steady One-Dimensional Compressible Flows.- Normal Shock Waves.- Flow in Constant-Area Ducts with Friction.- Flow in Constant-Area Ducts with Heat Transfer.- Quasi-One-Dimensional Compressible Flows.- Oblique Shock and Expansion Waves.- Velocity Potential Equation for Compressible Flows.- Small Perturbation Theory.- Similarity Rules of Compressible Flows.- Method of Characteristics.","brand":"Springer Verlag, Singapore","offers":[{"title":"Default Title","offer_id":48743292535127,"sku":"9789811690877","price":52.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789811690877.jpg?v=1720064955"},{"product_id":"classical-mechanics-and-electrodynamics-9789813279988","title":"Classical Mechanics And Electrodynamics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe book gives a general introduction to classical theoretical physics, in the fields of mechanics, relativity and electromagnetism. It is analytical in approach and detailed in the derivations of physical consequences from the fundamental principles in each of the fields. The book is aimed at physics students in the last year of their undergraduate or first year of their graduate studies.The text is illustrated with many figures, most of these in color. There are many useful examples and exercises which complement the derivations in the text.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48743298171223,"sku":"9789813279988","price":49.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789813279988.jpg?v=1720064982"},{"product_id":"principles-of-quantum-mechanics-9780306447907","title":"Principles of Quantum Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e1. Mathematical Introduction.- 1.1. Linear Vector Spaces: Basics.- 1.2. Inner Product Spaces.- 1.3. Dual Spaces and the Dirac Notation.- 1.4. Subspaces.- 1.5. Linear Operators.- 1.6. Matrix Elements of Linear Operators.- 1.7. Active and Passive Transformations.- 1.8. The Eigenvalue Problem.- 1.9. Functions of Operators and Related Concepts.- 1.10. Generalization to Infinite Dimensions.- 2. Review of Classical Mechanics.- 2.1. The Principle of Least Action and Lagrangian Mechanics.- 2.2. The Electromagnetic Lagrangian.- 2.3. The Two-Body Problem.- 2.4. How Smart Is a Particle?.- 2.5. The Hamiltonian Formalism.- 2.6. The Electromagnetic Force in the Hamiltonian Scheme.- 2.7. Cyclic Coordinates, Poisson Brackets, and Canonical Transformations.- 2.8. Symmetries and Their Consequences.- 3. All Is Not Well with Classical Mechanics.- 3.1. Particles and Waves in Classical Physics.- 3.2. An Experiment with Waves and Particles (Classical).- 3.3. The Double-Slit Experiment with Light.- 3.4. Matter Waves (de Broglie Waves).- 3.5. Conclusions.- 4. The Postulatesa General Discussion.- 4.1. The Postulates.- 4.2. Discussion of Postulates I -III.- 4.3. The Schrödinger Equation (Dotting Your i's and Crossing your ?'s).- 5. Simple Problems in One Dimension.- 5.1. The Free Particle.- 5.2. The Particle in a Box.- 5.3. The Continuity Equation for Probability.- 5.4. The Single-Step Potential: a Problem in Scattering.- 5.5. The Double-Slit Experiment.- 5.6. Some Theorems.- 6. The Classical Limit.- 7. The Harmonic Oscillator.- 7.1. Why Study the Harmonic Oscillator?.- 7.2. Review of the Classical Oscillator.- 7.3. Quantization of the Oscillator (Coordinate Basis).- 7.4. The Oscillator in the Energy Basis.- 7.5. Passage from the Energy Basis to the X Basis.- 8. The Path Integral Formulation of Quantum Theory.- 8.1. The Path Integral Recipe.- 8.2. Analysis of the Recipe.- 8.3. An Approximation to U(t) for the Free Particle.- 8.4. Path Integral Evaluation of the Free-Particle Propagator.- 8.5. Equivalence to the Schrödinger Equation.- 8.6. Potentials of the Form V=a + bx + cx2 + d? + ex?.- 9. The Heisenberg Uncertainty Relations.- 9.1. Introduction.- 9.2. Derivation of the Uncertainty Relations.- 9.3. The Minimum Uncertainty Packet.- 9.4. Applications of the Uncertainty Principle.- 9.5. The Energy-Time Uncertainty Relation.- 10. Systems with N Degrees of Freedom.- 10.1. N Particles in One Dimension.- 10.2. More Particles in More Dimensions.- 10.3. Identical Particles.- 11. Symmetries and Their Consequences.- 11.1. Overview.- 11.2. Translational Invariance in Quantum Theory.- 11.3. Time Translational Invariance.- 11.4. Parity Invariance.- 11.5. Time-Reversal Symmetry.- 12. Rotational Invariance and Angular Momentum.- 12.1. Translations in Two Dimensions.- 12.2. Rotations in Two Dimensions.- 12.3. The Eigenvalue Problem of Lz.- 12.4. Angular Momentum in Three Dimensions.- 12.5. The Eigenvalue Problem of L2 and Lz.- 12.6. Solution of Rotationally Invariant Problems.- 13. TheHydrogen Atom.- 13.1. The Eigenvalue Problem.- 13.2. The Degeneracy of the Hydrogen Spectrum.- 13.3. Numerical Estimates and Comparison with Experiment.- 13.4. Multielectron Atoms and the Periodic Table.- 14. Spin.- 14.1. Introduction.- 14.2. What is the Nature of Spin?.- 14.3. Kinematics of Spin.- 14.4. Spin Dynamics.- 14.5. Return of Orbital Degrees of Freedom.- 15. Addition of Angular Momenta.- 15.1. A Simple Example.- 15.2. The General Problem.- 15.3. Irreducible Tensor Operators.- 15.4. Explanation of Some Accidental Degeneracies.- 16. Variational and WKB Methods.- 16.1. The Variational Method.- 16.2. The Wentzel-Kramers-Brillouin Method.- 17. Time-Independent Perturbation Theory.- 17.1. The Formalism.- 17.2. Some Examples.- 17.3. Degenerate Perturbation Theory.- 18. Time-Dependent Perturbation Theory.- 18.1. The Problem.- 18.2. First-Order Perturbation Theory.- 18.3. Higher Orders in Perturbation Theory.- 18.4. A General Discussion of Electromagnetic Interactions.- 18.5. Interaction of Atoms with Electromagnetic Radiation.- 19. Scattering Theory.- 19.1. Introduction.- 19.2. Recapitulation of One-Dimensional Scattering and Overview.- 19.3. The Born Approximation (Time-Dependent Description).- 19.4. Born Again (The Time-Independent Approximation).- 19.5. The Partial Wave Expansion.- 19.6. Two-Particle Scattering.- 20. The Dirac Equation.- 20.1. The Free-Particle Dirac Equation.- 20.2. Electromagnetic Interaction of the Dirac Particle.- 20.3. More on Relativistic Quantum Mechanics.- 21. Path IntegralsII.- 21.1. Derivation of the Path Integral.- 21.2. Imaginary Time Formalism.- 21.3. Spin and Fermion Path Integrals.- 21.4. Summary.- A.l. Matrix Inversion.- A.2. Gaussian Integrals.- A.3. Complex Numbers.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e`An excellent text....The postulates of quantum mechanics and  the mathematical underpinnings are discussed in a clear, succint  manner.' - \u003cem\u003eAmerican Scientist,\u003c\/em\u003e from a review of the First  Edition\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eMathematical Introduction.- Review of Classical Mechanics.- All Is Not Well With Classical Mechanics. The Postulates-A General Discussion.- Simple Problems in One Dimension.- The Classical Limit.- The Harmonic Oscillator.- The Path Integral Formulation of Quantum Theory.- The Heisenberg Uncertainty Relations.- Systems with N Degrees of Freedom.- Symmetries and Their Consequences.- Rotational Invariance and Angular Momentum.- The Hydrogen Atom.- Spin.- Addition of Angular Momenta.- Variational and WKB Methods.- Time-Independent Perturbation Theory.- Time-Dependent Perturbation Theory.- Scattering Theory.- The Dirac Equation.- Path Integrals-II.- Appendix.- Answers to Selected Exercises.- Table of Constants.- Index","brand":"Springer","offers":[{"title":"Default Title","offer_id":48864356172119,"sku":"9780306447907","price":67.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780306447907.jpg?v=1722271561"},{"product_id":"how-things-work-9780316445443","title":"How Things Work","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eTheodore Gray has become a household name among fans, both young and old, of popular science and mechanics with his bestselling trilogy of books: \u003ci\u003eThe Elements\u003c\/i\u003e,\u003ci\u003e Molecules\u003c\/i\u003e, and \u003ci\u003eReactions\u003c\/i\u003e. In \u003ci\u003eHow Things Work\u003c\/i\u003e, he explores the mechanical underpinnings of dozens of types of machines, from the cotton gin to the wristwatch to an industrial loom, and shares his deep, firsthand appreciation and knowledge of the world''s most essential mechanical systems. Filled with stunning original photographs by Nick Mann, \u003ci\u003eHow Things Work\u003c\/i\u003e is a must-have exploration of stuff-large and small-for any builder, maker or lover of mechanical things.","brand":"Black Dog \u0026 Leventhal Publishers Inc","offers":[{"title":"Default Title","offer_id":48864413843799,"sku":"9780316445443","price":14.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780316445443.jpg?v=1722271832"},{"product_id":"mechanical-vibrations-dover-civil-and-mechanical-engineering-9780486647852","title":"Mechanical Vibrations Dover Civil and Mechanical","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis classic text combines the scholarly insights of its distinguished author with the practical, problem-solving orientation of an experienced industrial engineer. Abundant examples and figures, plus 233 problems and answers. 1956 edition.","brand":"Dover Publications Inc.","offers":[{"title":"Default Title","offer_id":48864739688791,"sku":"9780486647852","price":17.84,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780486647852.jpg?v=1791462923"},{"product_id":"the-variational-principles-of-mechanics-9780486650678","title":"The Variational Principles of Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePhilosophic, less formalistic approach to perennially important field of analytical mechanics. Model of clear, scholarly exposition at graduate level with coverage of basic concepts, calculus of variations, principle of virtual work, equations of motion, relativistic mechanics, much more. First inexpensive paperbound edition. Index. Bibliography.","brand":"Dover Publications Inc.","offers":[{"title":"Default Title","offer_id":48864739721559,"sku":"9780486650678","price":21.24,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780486650678.jpg?v=1722273021"},{"product_id":"the-principia-the-authoritative-translation-9780520290747","title":"The Principia The Authoritative Translation","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eDescribes the acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. This title deals with the fundamental three laws of motion and the law of universal gravity. It is suitable for scientists, scholars, and students.","brand":"University of California Press","offers":[{"title":"Default Title","offer_id":48864902578519,"sku":"9780520290747","price":16.14,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780520290747.jpg?v=1722273275"},{"product_id":"the-principia-the-authoritative-translation-and-guide-9780520290884","title":"The Principia The Authoritative Translation and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eDescribes the acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. This title deals with the fundamental three laws of motion and the law of universal gravity. It is suitable for scientists, scholars, and students.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface\u003cbr\u003e\u003cbr\u003e A GUIDE TO NEWTON'S PRINCIPIA\u003cbr\u003e\u003cbr\u003e Contents of the Guide\u003cbr\u003e Abbreviations\u003cbr\u003e CHAPTER ONE: A Brief History of the Principia\u003cbr\u003e CHAPTER TWO: Translating the Principia\u003cbr\u003e CHAPTER THREE: Some General Aspects of the Principia\u003cbr\u003e CHAPTER FOUR: Some Fundamental Concepts of the Principia\u003cbr\u003e CHAPTER FIVE : Axioms, or the Laws of Motion\u003cbr\u003e CHAPTER SIX: The Structure of Book 1\u003cbr\u003e CHAPTER SEVEN: The Structure of Book 2\u003cbr\u003e CHAPTER EIGHT: The Structure of Book 3\u003cbr\u003e CHAPTER NINE : The Concluding General Scholium\u003cbr\u003e CHAPTER TEN: How to Read the Principia\u003cbr\u003e CHAPTER ELEVEN : Conclusion\u003cbr\u003e\u003cbr\u003e THE PRINCIPIA (Mathematical Principles of Natural Philosophy)\u003cbr\u003e\u003cbr\u003e Halley's Ode to Newton\u003cbr\u003e Newton's Preface to the First Edition\u003cbr\u003e Newton's Preface to the Second Edition\u003cbr\u003e Cotes s Preface to the Second Edition\u003cbr\u003e Newton's Preface to the Third Edition\u003cbr\u003e Definitions\u003cbr\u003e Axioms, or the Laws of Motion\u003cbr\u003e\u003cbr\u003e BOOK 1: THE MOTION OF BODIES\u003cbr\u003e BOOK 2: THE MOTION OF BODIES\u003cbr\u003e BOOK 3: THE SYSTEM OF THE WORLD\u003cbr\u003e\u003cbr\u003e General Scholium\u003cbr\u003e Index","brand":"University of California Press","offers":[{"title":"Default Title","offer_id":48864903528791,"sku":"9780520290884","price":27.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780520290884.jpg?v=1722273274"},{"product_id":"thing-explainer-9780544668256","title":"Thing Explainer","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Dey Street Books","offers":[{"title":"Default Title","offer_id":48865019822423,"sku":"9780544668256","price":18.6,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780544668256.jpg?v=1722273439"},{"product_id":"mathematical-foundations-of-quantum-mechanics-9780691028934","title":"Mathematical Foundations of Quantum Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eShows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics. This title presents the theory of Hermitean operators and Hilbert spaces.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"It remains indispensable to those who desire a rigorous presentation of the foundations of the subject.\"--Quarterly of Applied Mathematics \"The translator and publisher have performed a service in making the classic available to a wider circle of English-speaking readers. It remains indispensable to those who desire a rigorous presentation of the foundations of the subject.\"--A. F. Stevenson, Quarterly of Applied Mathematics","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":48865515635031,"sku":"9780691028934","price":80.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780691028934.jpg?v=1791463732"},{"product_id":"fundamentals-of-optomechanics-9781032652382","title":"Fundamentals of Optomechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eWhen Galileo designed the tube of his first telescope, optomechanics was born. Concerned with the shape and position of surfaces in an optical system, optomechanics is a subfield of physics that is arguably as old as optics. However, while universities offer courses on the subject, there is a scarcity in textbook selections that skillfully and properly convey optomechanical fundamentals to aspiring engineers. Complemented by tutorial examples and exercises, this textbook rectifies this issue by providing instructors and departments with a better choice for transmitting to students the basic principles of optomechanics and allowing them to comfortably gain familiarity with the fieldâs content. Practicing optical engineers who engage in self-study and wish to enhance the extent of their knowledge will also find benefit from the vast experience of the authors. The book begins with a discussion of materials based on optomechanical figures of merit and features chapters on windows, prism\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\"This book addresses a pressing need for tools to teach optomechanical engineering at the University level. It also serves as a valuable reference work for practicing engineers. Organized into chapters on each of the engineer's tasks, from system-level assessments to component mounting, it flows logically through the mechanical design process.… it is a rich introduction to the art of optomechanical design.\"\u003cbr\u003e—Alson E. Hatheway Incorporated, Pasadena, California, USA\u003c\/p\u003e\u003cp\u003e\"This book was written by the two most renowned specialists in optomechanics. The text is skillfully written to be understood easily while covering all the most important aspect of the optomechanical field. The material presented in the book is backed up with tutorial examples and exercises, thus distinguishing itself from other reference books in optomechanics intended to be used by practicing engineers. This textbook is an exceptional legacy of the fathers of optomechanics for the new generation of optomechanical engineers.\"\u003cbr\u003e—Frédéric Lamontagne, INO, Quebec City, Canada\u003c\/p\u003e\u003cp\u003e\"It’s a terrific introduction into the field of optomechanical engineering that will allow novices and experienced engineers the prerequisite background and understanding of the highly integrated and complex engineering that is required to design and build a high precision optical system.\"\u003cbr\u003e—Keith B. Doyle, MIT Lincoln Laboratory, Lexington, Massachusetts, United States\u003c\/p\u003e\u003cp\u003e\"Yoder and Vukobratovich do an exceptional job of creating content that is introductory at heart, but thorough enough to be useful and practical in application. It is unusual to get an engineering perspective woven into theory but they skillfully include both. Optomechanics is such a critical cross-discipline field for optics and it is unfortunately woefully underserved by the talent pipeline. An introductory text like this would be well-served to be on shelves of both optical and mechanical engineers in order to address the gap between the two disciplines.\"\u003cbr\u003e—Katie Schwertz, Edmund Optics, Tucson, Arizona, USA\u003c\/p\u003e\u003cp\u003e\"The book would be ideal as a textbook for graduate students with some knowledge of both optics and mechanical engineering, or for practitioners in the field.\"\u003c\/p\u003e\u003cp\u003e--Bogdan Hoanca, a professor of management information systems at the University of Alaska Anchorage, USA\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eIntroduction. Opto-Mechanical Design Process. Materials Selection. Principles of Kinematic Design. Mounting Windows. Mounting Individual Lenses. Mounting Multiple Lens Assemblies. Techniques for Mounting Prisms. Factors Affecting Mirror Performance. Design and Mounting of Small Mirrors. Design and Mounting of Metallic Mirrors. Appendices. Tables of Material Properties. Environmental Tables. References. \u003c\/p\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":48866313961815,"sku":"9781032652382","price":45.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781032652382.jpg?v=1791469364"},{"product_id":"a-students-guide-to-lagrangians-and-hamiltonians-students-guides-9781107617520","title":"A Students Guide to Lagrangians and Hamiltonians","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eA concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange's equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and generalized momentum. Following this the book turns to the calculus of variations to derive the EulerâLagrange equations. It introduces Hamilton's principle and uses this throughout the book to derive further results. The Hamiltonian, Hamilton's equations, canonical transformations, Poisson brackets and HamiltonâJacobi theory are considered next. The book concludes by discussing continuous Lagrangians and Hamiltonians and how they are related to field theory. Written in clear, simple language and featuring numerous worked examples and exercises to help students master the material, this book is a valuable supplement to courses in mechanics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e'… in a logically clear and physically rigorous way the book highlights the landmarks of the analytical mechanics so that the attentive student can be easily prepared for the exam. It is suitable for studying in intermediate and upper-level undergraduate courses of classical mechanics …' Vladimir I. Pulov, Journal of Geometry and Symmetry in Physics\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePart I. Lagrangian Mechanics: 1. Fundamental concepts; 2. The calculus of variations; 3. Lagrangian dynamics; Part II. Hamiltonian Mechanics: 4. Hamilton's equations; 5. Canonical transformations: Poisson brackets; 6. Hamilton–Jacobi theory; 7. Continuous systems; Further reading; Index.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":48866343158103,"sku":"9781107617520","price":30.44,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781107617520.jpg?v=1722278225"},{"product_id":"classical-mechanics-9781292026558","title":"Classical Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e \u003cb\u003e 1. Survey of the Elementary Principles.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 2. Variational Principles and Lagrange's Equations.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003eUPDATED! 3. The Central Force Problem.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 4. The Kinematics of Rigid Body Motion.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 5. The Rigid Body Equations of Motion.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003eUPDATED! 6. Oscillations.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003eREVISED! 7. The Classical Mechanics of the Special Theory of Relativity.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 8. The Hamiltonian Equations of Motion.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e 9. Canonical Transformations.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e10. Hamilton-Jacobi Theory and Action Angle Variables.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003eNEW! 11. Classical Chaos.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003eREVISED! 12. Canonical Perturbation Theory.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003e13. Introduction to Lagrangian and Hamiltonian Formulations for Continuous Systems and Fields.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003eAppendixes.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003eSelect Bibliography.\u003c\/b\u003e \u003cbr\u003e \u003cbr\u003e \u003cbr\u003e \u003cb\u003eIndex.\u003c\/b\u003e \u003cbr\u003e","brand":"Pearson Education Limited","offers":[{"title":"Default Title","offer_id":48866510373207,"sku":"9781292026558","price":65.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781292026558.jpg?v=1722279000"},{"product_id":"gravity-9781480746442","title":"Gravity","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e","brand":"Teacher Created Materials, Inc","offers":[{"title":"Default Title","offer_id":48867293331799,"sku":"9781480746442","price":11.07,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781480746442.jpg?v=1791472279"},{"product_id":"classical-mechanics-illustrated-by-modern-physics-42-problems-with-solutions-9781848164802","title":"Classical Mechanics Illustrated By Modern","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn many fields of modern physics, classical mechanics plays a key role. However, the teaching of mechanics at the undergraduate level often confines the applications to old-fashioned devices such as combinations of springs and masses, pendulums, or rolling cylinders.This book provides an illustration of classical mechanics in the form of problems (at undergraduate level) inspired — for the most part — by contemporary research in physics, and resulting from the teaching and research experience of the authors. A noticeable feature of this book is that it emphasizes the experimental aspects of a large majority of problems. All problems are accompanied by detailed solutions: the calculations are clarified and their physical significance commented on in-depth. Within the solutions, the basic concepts from undergraduate lectures in classical mechanics, necessary to solve the problems, are recalled when needed. The authors systematically mention recent bibliographical references (most of them freely accessible via the Internet) allowing the reader to deepen their understanding of the subject, and thus contributing to the building of a general culture in physics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eOrders of Magnitude and Dimensional Analysis; Motion in the Gravity Field; Friction; Rotating Frames; Oscillators; A Few Theorems of Mechanics; Collisions; Manipulation of Charged Particles; Cold Atoms; Celestial Mechanics; Relativistic Mechanics.","brand":"Imperial College Press","offers":[{"title":"Default Title","offer_id":48868732993879,"sku":"9781848164802","price":35.15,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781848164802.jpg?v=1791478772"},{"product_id":"classical-mechanics-9781891389221","title":"Classical Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eJohn Taylor has brought to his most recent book, \u003ci\u003eClassical Mechanics\u003c\/i\u003e, all of the clarity and insight that made his \u003ci\u003eIntroduction to Error Analysis\u003c\/i\u003e a best-selling text. \u003ci\u003eClassical Mechanics\u003c\/i\u003e is intended for students who have studied some mechanics in an introductory physics course, such as “freshman physics\". With unusual clarity, the book covers most of the topics normally found in books at this level, including conservation laws, oscillations, Lagrangian mechanics, two-body problems, non-inertial frames, rigid bodies, normal modes, chaos theory, Hamiltonian mechanics, and continuum mechanics. A particular highlight is the chapter on chaos, which focuses on a few simple systems, to give a truly comprehensible introduction to the concepts that we hear so much about. At the end of each chapter is a large selection of interesting problems for the student, 744 in all, classified by topic and approximate difficulty, and ranging from simple exercises to challenging computer projects.\u003cbr\u003e\u003cbr\u003e Adopted by more than 450 colleges and universities in the USA and Canada and translated into six languages, Taylor's \u003ci\u003eClassical Mechanics\u003c\/i\u003e is a thorough and very readable introduction to a subject that is four hundred years old but as exciting today as ever. The author manages to convey that excitement as well as deep understanding and insight.\u003cbr\u003e\u003cbr\u003e \u003cb\u003eAncillaries\u003c\/b\u003e \u003cul\u003e\n\u003cli\u003eA detailed Instructors' Manual is available for adopting professors.\u003c\/li\u003e\n\u003cli\u003eArt from the book may be downloaded by adopting professors.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cb\u003ePART I: THE ESSENTIALS\u003c\/b\u003e\u003cbr\u003e \u003cb\u003eChapter 1: Newton's Laws of Motion\u003c\/b\u003e\u003cbr\u003e 1.1 Classical Mechanics\u003cbr\u003e 1.2 Space and Time\u003cbr\u003e 1.3 Mass and Force\u003cbr\u003e 1.4 Newton's First and Second Laws; Inertial Frames\u003cbr\u003e 1.5 The Third Law and Conservation of the Momentum\u003cbr\u003e 1.6 Newton's Second Law in Cartesian Coordinates\u003cbr\u003e 1.7 Two-Dimensional Polar Coordinates\u003cbr\u003e 1.8 Problems for Chapter 1\u003cbr\u003e\u003cbr\u003e \u003cb\u003eChapter 2: Projectiles and Charged Particles\u003c\/b\u003e\u003cbr\u003e 2.1 Air Resistance\u003cbr\u003e 2.2 Linear Air Resistance\u003cbr\u003e 2.3 Trajectory and Range in a Linear Motion\u003cbr\u003e 2.4 Quadratic Air Resistance\u003cbr\u003e 2.5 Motion of a Charge in a Uniform Magnetic Field\u003cbr\u003e 2.6 Complex Exponentials\u003cbr\u003e 2.7 Solution for the Charge in a B Field\u003cbr\u003e 2.8 Problems for Chapter 2\u003cbr\u003e\u003cbr\u003e \u003cb\u003eChapter 3: Momentum and Angular Momentum\u003c\/b\u003e\u003cbr\u003e 3.1 Conservation of Momentum\u003cbr\u003e 3.2 Rockets\u003cbr\u003e 3.3 The Center of Mass\u003cbr\u003e 3.4 Angular Momentum for a Single Particle\u003cbr\u003e 3.5 Angular Momentum for Several Particles\u003cbr\u003e 3.6 Problems for Chapter 3\u003cbr\u003e\u003cbr\u003e \u003cb\u003eChapter 4: Energy\u003c\/b\u003e\u003cbr\u003e 4.1 Kinetic Energy and Work\u003cbr\u003e 4.2 Potential Energy and Conservative Forces\u003cbr\u003e 4.3 Force as the Gradient of Potential Energy\u003cbr\u003e 4.4 The Second Condition that \u003cb\u003e F\u003c\/b\u003e be Conservative\u003cbr\u003e 4.5 Time-Dependent Potential Energy\u003cbr\u003e 4.6 Energy for Linear One-Dimensional Systems\u003cbr\u003e 4.7 Curvilinear One-Dimensional Systems\u003cbr\u003e 4.8 Central Forces\u003cbr\u003e 4.9 Energy of Interaction of Two Particles\u003cbr\u003e 4.10 The Energy of a Multiparticle System\u003cbr\u003e 4.11 Problems for Chapter 4\u003cbr\u003e\u003cbr\u003e \u003cb\u003eChapter 5: Oscillations\u003c\/b\u003e\u003cbr\u003e 5.1 Hooke's Law\u003cbr\u003e 5.2 Simple Harmonic Motion\u003cbr\u003e 5.3 Two-Dimensional Oscillators\u003cbr\u003e 5.4 Damped Oscillators\u003cbr\u003e 5.5 Driven Damped Oscillations\u003cbr\u003e 5.6 Resonance\u003cbr\u003e 5.7 Fourier Series\u003cbr\u003e 5.8 Fourier Series Solution for the Driven Oscillator\u003cbr\u003e 5.9 The RMS Displacement; Parseval's Theorem\u003cbr\u003e 5.10 Problems for Chapter 5\u003cbr\u003e\u003cbr\u003e \u003cb\u003eChapter 6: Calculus of Variations\u003c\/b\u003e\u003cbr\u003e 6.1 Two Examples\u003cbr\u003e 6.2 The Euler-Lagrange Equation\u003cbr\u003e 6.3 Applications of the Euler-Lagrange Equation\u003cbr\u003e 6.4 More than Two Variables\u003cbr\u003e 6.5 Problems for Chapter 6\u003cbr\u003e\u003cbr\u003e \u003cb\u003eChapter 7: Lagrange's Equations\u003c\/b\u003e\u003cbr\u003e 7.1 Lagrange's Equations for Unconstrained Motion\u003cbr\u003e 7.2 Constrained Systems; an Example\u003cbr\u003e 7.3 Constrained Systems in General\u003cbr\u003e 7.4 Proof of Lagrange's Equations with Constraints\u003cbr\u003e 7.5 Examples of Lagrange's Equations\u003cbr\u003e 7.6 Conclusion\u003cbr\u003e 7.7 Conservation Laws in Lagrangian Mechanics\u003cbr\u003e 7.8 Lagrange's Equations for Magnetic Forces\u003cbr\u003e 7.9 Lagrange Multipliers and Constraint Forces\u003cbr\u003e 7.10 Problems for Chapter 7\u003cbr\u003e\u003cbr\u003e \u003cb\u003eChapter 8: Two-Body Central Force Problems\u003c\/b\u003e\u003cbr\u003e 8.1 The Problem\u003cbr\u003e 8.2 CM and Relative Coordinates; Reduced Mass\u003cbr\u003e 8.3 The Equations of Motion\u003cbr\u003e 8.4 The Equivalent One-Dimensional Problems\u003cbr\u003e 8.5 The Equation of the Orbit\u003cbr\u003e 8.6 The Kepler Orbits\u003cbr\u003e 8.7 The Unbonded Kepler Orbits\u003cbr\u003e 8.8 Changes of Orbit\u003cbr\u003e 8.9 Problems for Chapter 8\u003cbr\u003e\u003cbr\u003e \u003cb\u003eChapter 9: Mechanics in Noninertial Frames\u003c\/b\u003e\u003cbr\u003e 9.1 Acceleration without Rotation\u003cbr\u003e 9.2 The Tides\u003cbr\u003e 9.3 The Angular Velocity Vector\u003cbr\u003e 9.4 Time Derivatives in a Rotating Frame\u003cbr\u003e 9.5 Newton's Second Law in a Rotating Frame\u003cbr\u003e 9.6 The Centrifugal Force\u003cbr\u003e 9.7 The Coriolis Force\u003cbr\u003e 9.8 Free Fall and The Coriolis Force\u003cbr\u003e 9.9 The Foucault Pendulum\u003cbr\u003e 9.10 Coriolis Force and Coriolis Acceleration\u003cbr\u003e 9.11 Problems for Chapter 9\u003cbr\u003e\u003cbr\u003e \u003cb\u003eChapter 10: Motion of Rigid Bodies\u003c\/b\u003e\u003cbr\u003e 10.1 Properties of the Center of Mass\u003cbr\u003e 10.2 Rotation about a Fixed Axis\u003cbr\u003e 10.3 Rotation about Any Axis; the Inertia Tensor\u003cbr\u003e 10.4 Principal Axes of Inertia\u003cbr\u003e 10.5 Finding the Principal Axes; Eigenvalue Equations\u003cbr\u003e 10.6 Precession of a Top Due to a Weak Torque\u003cbr\u003e 10.7 Euler's Equations\u003cbr\u003e 10.8 Euler's Equations with Zero Torque\u003cbr\u003e 10.9 Euler Angles\u003cbr\u003e 10.10 Motion of a Spinning Top\u003cbr\u003e 10.11 Problems for Chapter 10\u003cbr\u003e\u003cbr\u003e \u003cb\u003eChapter 11: Coupled Oscillators and Normal Modes\u003c\/b\u003e\u003cbr\u003e 11.1 Two Masses and Three Springs\u003cbr\u003e 11.2 Identical Springs and Equal Masses\u003cbr\u003e 11.3 Two Weakly Coupled Oscillators\u003cbr\u003e 11.4 Lagrangian Approach; the Double Pendulum\u003cbr\u003e 11.5 The General Case\u003cbr\u003e 11.6 Three Coupled Pendulums\u003cbr\u003e 11.7 Normal Coordinates\u003cbr\u003e 11.8 Problems for Chapter 11\u003cbr\u003e\u003cbr\u003e    \u003cb\u003ePART II: FURTHER TOPICS\u003c\/b\u003e\u003cbr\u003e \u003cb\u003eChapter 12: Nonlinear Mechanics and Chaos\u003c\/b\u003e\u003cbr\u003e 12.1 Linearity and Nonlinearity\u003cbr\u003e 12.2 The Driven Damped Pendulum or DDP\u003cbr\u003e 12.3 Some Expected Features of the DDP\u003cbr\u003e 12.4 The DDP; Approach to Chaos\u003cbr\u003e 12.5 Chaos and Sensitivity to Initial Conditions\u003cbr\u003e 12.6 Bifurcation Diagrams\u003cbr\u003e 12.7 State-Space Orbits\u003cbr\u003e 12.8 Poincare Sections\u003cbr\u003e 12.9 The Logistic Map\u003cbr\u003e 12.10 Problems for Chapter 12\u003cbr\u003e\u003cbr\u003e \u003cb\u003eChapter 13: Hamiltonian Mechanics\u003c\/b\u003e\u003cbr\u003e 13.1 The Basic Variables\u003cbr\u003e 13.2 Hamilton's Equations for One-Dimensional Systems\u003cbr\u003e 13.3 Hamilton's Equations in Several Dimensions\u003cbr\u003e 13.4 Ignorable Coordinates\u003cbr\u003e 13.5 Lagrange's Equations vs. Hamilton's Equations\u003cbr\u003e 13.6 Phase-Space Orbits\u003cbr\u003e 13.7 Liouville's Theorem\u003cbr\u003e 13.8 Problems for Chapter 13\u003cbr\u003e\u003cbr\u003e \u003cb\u003eChapter 14: Collision Theory\u003c\/b\u003e\u003cbr\u003e 14.1 The Scattering Angle and Impact Parameter\u003cbr\u003e 14.2 The Collision Cross Section\u003cbr\u003e 14.3 Generalizations of the Cross Section\u003cbr\u003e 14.4 The Differential Scattering Cross Section\u003cbr\u003e 14.5 Calculating the Differential Cross Section\u003cbr\u003e 14.6 Rutherford Scattering\u003cbr\u003e 14.7 Cross Sections in Various Frames\u003cbr\u003e 14.8 Relation of the CM and Lab Scattering Angles\u003cbr\u003e 14.9 Problems for Chapter 14\u003cbr\u003e\u003cbr\u003e \u003cb\u003eChapter 15: Special Relativity\u003c\/b\u003e\u003cbr\u003e 15.1 Relativity\u003cbr\u003e 15.2 Galilean Relativity\u003cbr\u003e 15.3 The Postulates of Special Relativity\u003cbr\u003e 15.4 The Relativity of Time; Time Dilation\u003cbr\u003e 15.5 Length Contraction\u003cbr\u003e 15.6 The Lorentz Transformation\u003cbr\u003e 15.7 The Relativistic Velocity-Addition Formula\u003cbr\u003e 15.8 Four-Dimensional Space-Time; Four-Vectors\u003cbr\u003e 15.9 The Invariant Scalar Product\u003cbr\u003e 15.10 The Light Cone\u003cbr\u003e 15.11 The Quotient Rule and Doppler Effect\u003cbr\u003e 15.12 Mass, Four-Velocity, and Four-Momentum\u003cbr\u003e 15.13 Energy, the Fourth Component of Momentum\u003cbr\u003e 15.14 Collisions\u003cbr\u003e 15.15 Force in Relativity\u003cbr\u003e 15.16 Massless Particles; the Photon\u003cbr\u003e 15.17 Tensors\u003cbr\u003e 15.18 Electrodynamics and Relativity\u003cbr\u003e 15.19 Problems for Chapters 15\u003cbr\u003e\u003cbr\u003e \u003cb\u003eChapter 16: Continuum Mechanics\u003c\/b\u003e\u003cbr\u003e 16.1 Transverse Motion of a Taut String\u003cbr\u003e 16.2 The Wave Equation\u003cbr\u003e 16.3  Boundary Conditions; Waves on a Finite String\u003cbr\u003e 16.4 The Three-Dimensional Wave Equation\u003cbr\u003e 16.5 Volume and Surface Forces\u003cbr\u003e 16.6 Stress and Strain: the Elastic Moduli\u003cbr\u003e 16.7 The Stress Tensor\u003cbr\u003e 16.8 The Strain Tensor for a Solid\u003cbr\u003e 16.9 Relation between Stress and Strain: Hooke's Law\u003cbr\u003e 16.10 The Equation of Motion for an Elastic Solid\u003cbr\u003e 16.11 Longitudinal and Transverse Waves in a Solid\u003cbr\u003e 16.12 Fluids: Description of the Motion\u003cbr\u003e 16.13 Waves in a Fluid\u003cbr\u003e 16.14 Problems for Chapter 16","brand":"University Science Books,U.S.","offers":[{"title":"Default Title","offer_id":48868861804887,"sku":"9781891389221","price":138.02,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781891389221.jpg?v=1722290055"},{"product_id":"lagrangian-and-hamiltonian-mechanics-solutions-to-the-exercises-9789810237820","title":"Lagrangian And Hamiltonian Mechanics: Solutions","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book contains the exercises from the classical mechanics text Lagrangian and Hamiltonian Mechanics, together with their complete solutions. It is intended primarily for instructors who are using Lagrangian and Hamiltonian Mechanics in their course, but it may also be used, together with that text, by those who are studying mechanics on their own.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eNewtons' laws; the principle of virtual work and D'Alembert's principle; Lagrange's equations; the principle of stationary action or Hamilton's principle; invariance transformations and constants of the motion; Hamilton's equations; Hamilton-Jacobi theory; action-angle variables; non-integrable systems.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":48869594399063,"sku":"9789810237820","price":34.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789810237820.jpg?v=1791483757"},{"product_id":"introduction-to-computational-fluid-dynamics-an-9780131274983","title":"Introduction to Computational Fluid Dynamics An","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eProvides coverage of Computational Fluid Dynamics (CFD) codes within the context of the underlying theory, giving the reader an appreciation of CFD and its numerous engineering applications. This work includes coverage of the fundamentals of Large-Eddy Simulation (LES) and Direct Numerical Simulation (DNS) techniques.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eChapter 1    Introduction\u003c\/p\u003e \u003cp\u003eChapter 2    Conservation laws of fluid motion and their boundary conditions\u003c\/p\u003e \u003cp\u003eChapter 3     Turbulence and its modelling\u003c\/p\u003e \u003cp\u003eChapter 4     The finite volume method for diffusion problems\u003c\/p\u003e \u003cp\u003eChapter 5     The finite volume method for convection-diffusion problems\u003c\/p\u003e \u003cp\u003eChapter 6      Solution algorithms for pressure-velocity coupling in steady flows\u003c\/p\u003e \u003cp\u003eChapter 7      Solution of systems of discretised equations\u003c\/p\u003e \u003cp\u003eChapter 8      The finite volume method for unsteady flows\u003c\/p\u003e \u003cp\u003eChapter 9       Implementation of boundary conditions\u003c\/p\u003e \u003cp\u003eChapter 10     Uncertainty in CFD modelling\u003c\/p\u003e \u003cp\u003eChapter 11     Methods for dealing with complex geometries\u003c\/p\u003e \u003cp\u003eChapter 12     CFD modelling of combustion\u003c\/p\u003e \u003cp\u003eChapter 13      Numerical calculation of radiative heat transfer\u003c\/p\u003e \u003cp\u003eAppendices    \u003c\/p\u003e \u003cp\u003eReferences\u003c\/p\u003e \u003cp\u003eIndex\u003c\/p\u003e","brand":"Pearson Education (US)","offers":[{"title":"Default Title","offer_id":48883794084183,"sku":"9780131274983","price":70.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780131274983.jpg?v=1722529072"}],"url":"https:\/\/bookcurl.com\/collections\/classical-mechanics.oembed?page=24","provider":"Book Curl","version":"1.0","type":"link"}