Classical mechanics Books

Book SynopsisEndorsed by Cambridge Assessment International Education to provide full support for Paper 4 of the syllabus for examination from 2020.Take mathematical understanding to the next level with this accessible series, written by experienced authors, examiners and teachers.- Improve confidence as a mathematician with clear explanations, worked examples, diverse activities and engaging discussion points. - Advance problem-solving, interpretation and communication skills through a wealth of questions that promote higher-order thinking. - Prepare for further study or life beyond the classroom by applying mathematics to other subjects and modelling real-world situations.- Reinforce learning with opportunities for digital practice via links to the Mathematics in Education and Industry's (MEI) Integral platform in the Boost eBook.**To have full access to the eBook and Integral resources you must be subscribed to both Boost and Integral. To trial our eBooks and/or subscribe to Boost, visit: www.hoddereducation.com/Boost; to view samples of the Integral resources and/or subscribe to Integral, visit integralmaths.org/internationalPlease note that the Integral resources have not been through the Cambridge International endorsement process. This book covers the syllabus content for Mechanics, including forces and equilibrium, kinematics of motion in a straight line, momentum, Newton's laws of motion, and energy, work and power.

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Book SynopsisA groundbreaking work in the field of physics and mathematics. In this monumental work, Newton formulated the laws of motion and universal gravitation, laying the foundation for classical mechanics and revolutionizing our understanding of the physical world. The Principia remains one of the most significant scientific books ever written, influencing generations of scientists, and shaping the course of modern physics and mathematics. The Groundbreaking Work of Sir Isaac Newton Mathematical proofs and equations. Comprehensive coverage of planetary motion. Helps in understanding the principles of motion. Logical and rigorous approach to scientific inquiry. Studied and revered as a seminal work in the field of science.

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Book Synopsis''Beautifully clear explanations of famously difficult things ... It almost makes you think you could have been a Newton yourself'' John Gribbin Here 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.Combining 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. ''A good and noble book'' Sunday Times ''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 The Particle at the End of the Universe''Very readable ... provides a clear description of advanced classical physics concepts, and gives readers who want a challenge the opportunity to exercise their brain'' Physics WorldTrade ReviewSo 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? . . . The Theoretical Minimum is the book for you. -- John Gribbin * Wall Street Journal *A pleasure to read....a beautiful, high-level overview of the entire subject * Physics Today *What 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 *

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Book Synopsis''A majestic story'' David Bodanis, Financial Times From the international bestselling author of Physics of the Impossible and Physics of the FutureThis is the story of a quest: to find a Theory of Everything. Einstein dedicated his life to seeking this elusive Holy Grail, a single, revolutionary ''god equation'' which would tie all the forces in the universe together, yet never found it. Some of the greatest minds in physics took up the search, from Stephen Hawking to Brian Greene. None have yet succeeded. In The God Equation, renowned theoretical physicist Michio Kaku takes the reader on a mind-bending ride through the twists and turns of this epic journey: a mystery that has fascinated him for most of his life. He guides us through the key debates in modern physics, from Newton''s law of gravity via relativity and quantum mechanics to the latest developments in string theory. It is a tale of dazzling breakthroughs and crushing dead ends, illuminated by Kaku''s clarity, storytelling flair and infectious enthusiasm. The object of the quest is now within sight: we are closer than ever to achieving the most ambitious undertaking in the history of science. If successful, the Theory of Everything could simultaneously unlock the deepest mysteries of space and time, and fulfil that most ancient and basic of human desires - to understand the meaning of our lives.Trade ReviewKaku elucidates esoteric mathematics with graspable, real-life illustrations, and explains how breakthroughs in theoretical physics have had a tangible impact on human experience ... The result is both mind-bending and surprisingly readable. -- Pippa Bailey * New Statesman *[Kaku] attempts to bring the dizzying concepts of multidimensional realms within reach of the general reader ... It's a majestic story, and Kaku tells it well. -- David Bodanis * Financial Times *A clear and accessible examination of the quest to combine Einstein's general relativity with quantum theory to create an all-encompassing "theory of everything" about the nature of the universe. -- Andrew Anthony * The Observer *

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Book SynopsisTable of Contents 1. Survey of the Elementary Principles. 2. Variational Principles and Lagrange's Equations. UPDATED! 3. The Central Force Problem. 4. The Kinematics of Rigid Body Motion. 5. The Rigid Body Equations of Motion. UPDATED! 6. Oscillations. REVISED! 7. The Classical Mechanics of the Special Theory of Relativity. 8. The Hamiltonian Equations of Motion. 9. Canonical Transformations. 10. Hamilton-Jacobi Theory and Action Angle Variables. NEW! 11. Classical Chaos. REVISED! 12. Canonical Perturbation Theory. 13. Introduction to Lagrangian and Hamiltonian Formulations for Continuous Systems and Fields. Appendixes. Select Bibliography. Index.

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Book SynopsisThis textbook provides details of the derivation of Lagrange's planetary equations and of the closely related Gauss's variational equations, thereby covering a sorely needed topic in existing literature. Analytical solutions can help verify the results of numerical work, giving one confidence that his or her analysis is correct. The authors—all experienced experts in astrodynamics and space missions—take on the massive derivation problem step by step in order to help readers identify and understand possible analytical solutions in their own endeavors. The stages are elementary yet rigorous; suggested student research project topics are provided.After deriving the variational equations, the authors apply them to many interesting problems, including the Earth-Moon system, the effect of an oblate planet, the perturbation of Mercury's orbit due to General Relativity, and the perturbation due to atmospheric drag. Along the way, they introduce several useful techniques such as averaging, Poincaré's method of small parameters, and variation of parameters. In the end, this textbook will help students, practicing engineers, and professionals across the fields of astrodynamics, astronomy, dynamics, physics, planetary science, spacecraft missions, and others. “An extensive, detailed, yet still easy-to-follow presentation of the field of orbital perturbations.” - Prof. Hanspeter Schaub, Smead Aerospace Engineering Sciences Department, University of Colorado, Boulder “This book, based on decades of teaching experience, is an invaluable resource for aerospace engineering students and practitioners alike who need an in-depth understanding of the equations they use.” - Dr. Jean Albert Kéchichian, The Aerospace Corporation, Retired “Today we look at perturbations through the lens of the modern computer. But knowing the why and the how is equally important. In this well organized and thorough compendium of equations and derivations, the authors bring some of the relevant gems from the past back into the contemporary literature.” - Dr. David A Vallado, Senior Research Astrodynamicist, COMSPOC “The book presentation is with the thoroughness that one always sees with these authors. Their theoretical development is followed with a set of Earth orbiting and Solar System examples demonstrating the application of Lagrange’s planetary equations for systems with both conservative and nonconservative forces, some of which are not seen in orbital mechanics books.” - Prof. Kyle T. Alfriend, University Distinguished Professor, Texas A&M UniversityTable of Contents1 The n-Body Problem2 General Perturbations 3 Evaluation of Lagrange’s Brackets 4 Lagrange’s Planetary Equations 5 Expansion of the Perturbation Function 6 The Earth-Moon System 7 Potential of an Oblate Spheroid8 Effects of General Relativity9 Perturbations due to Atmospheric Drag 10 Periodic Solutions in Nonlinear OscillationsBibliography Projects

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Book SynopsisAll 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.

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Book SynopsisPhysics 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.Trade ReviewReview 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 *This practical study book for university students will help every student in the preparation of their exams. * Jan M. Broders, Optische Fenomenen *Table of Contents1: 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

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Book SynopsisOne 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 bookTrade ReviewA lucid text with many sets of questions... make the whole a most acceptable work. * TES *Table of Contents1. 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

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Book SynopsisAn 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.

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Book SynopsisThis 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.

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Book SynopsisPhilosophic, 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.

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Book SynopsisAnalytical Mechanics, first published in 1999, provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and prepares the reader thoroughly for further study at graduate level. The authors set out the fundamentals of Lagrangian and Hamiltonian mechanics early on in the book and go on to cover such topics as linear oscillators, planetary orbits, rigid-body motion, small vibrations, nonlinear dynamics, chaos, and special relativity. A special feature is the inclusion of many 'e-mail questions', which are intended to facilitate dialogue between the student and instructor. Many worked examples are given, and there are 250 homework exercises to help students gain confidence and proficiency in problem-solving. It is an ideal textbook for undergraduate courses in classical mechanics, and provides a sound foundation for graduate study.Trade Review'This book is a welcome addition to the available choices for a graduate text in modern classical mechanics and I encourage instructors to consider it.' R. W. Robinett, American Journal of PhysicsTable of Contents1. Lagrangian mechanics; 2. Variational calculus and its application to mechanics; 3. Linear oscillators; 4. One dimensional systems: central forces and the Kepler problem; 5. Noether's theorem and Hamiltonian dynamics; 6. Theoretical mechanics: from canonical transformations to action-angle variables; 7. Rotating coordinate systems; 8. The dynamics of rigid bodies; 9. The theory of small vibrations; 10. Approximate solutions to non-analytic problems; 11. Chaotic dynamics; 12. Special relativity.

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Book SynopsisThis 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.

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Book SynopsisThis series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020.Table of ContentsIntroduction; 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

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Book SynopsisThe 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.

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Book SynopsisDescribes 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.

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Book SynopsisVery Short Introductions: Brilliant, Sharp, Inspiring Fluid 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.Trade ReviewOverall, 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 *Table of Contents1: Fluids 2: Viscosity 3: Pipes 4: Dimensions 5: Boundary layers 6: Vortices 7: Instabilities 8: Researching fluids and flows Further Reading Index

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Book SynopsisTheodore Gray has become a household name among fans, both young and old, of popular science and mechanics with his bestselling trilogy of books: The Elements, Molecules, and Reactions. In How Things Work, 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, How Things Work is a must-have exploration of stuff-large and small-for any builder, maker or lover of mechanical things.

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Book SynopsisThis bestselling DIY handbook now features new and expanded projects, enabling ordinary folks to construct 16 awesome ballistic devices in their garage or basement workshops using inexpensive household or hardware store materials and this step-by-step guide. Clear instructions, diagrams, and photographs show how to build projects ranging from the simple match-powered rocket to the more complex tabletop catapult and the offbeat Cincinnati fire kite. The classic potato cannon has a new evil twin—the piezo-electric spud gun and the electromagnetic pipe gun has joined the company of such favorites as the tennis ball mortar. With a strong emphasis on safety, the book also gives tips on troubleshooting, explains the physics behind the projects, and profiles scientists and extraordinary experimenters such as Alfred Nobel, Robert Goddard, and Isaac Newton. This book will be indispensable for the legions of backyard toy-rocket launchers and fireworks fanatics who wish every day was the fourth of July.Trade Review"Fun and potentially dangerous, this is sure to be a hit at most public libraries. Recommended. Bring your own safety goggles." -- Library Journal"A great primer for the would-be engineer, and a wonderful chance for bonding among like-minded parents and children...Great fun!" -- Courier-Journal (Louisville, KY)"How is it possible not to love a book with chapter titles like 'Back Porch Rocketry' and 'Greek Fire and the Catapult?' I devoured this prodigious account of all things explosive." --Homer Hickam, author of Rocket Boys"Would-be rocketeers, take note: Engineer William Gurstelle has written a book for you." -- Chicago Tribune"If you want to make a potato soufflé, pick up a book by Julia Child. If you want to decorate your holiday cards with hand-cut potato stamps, look to a Martha Stewart manual. If, however, you'd like to launch a potato in a blazing fireball of combusting hairspray from a PVC pipe, your best source is Backyard Ballistics , by William Gurstelle." -- Time Out New York"Your inner boy will get a bang out of these 13 devices to build and shoot in your own back yard, some of them noisy enough to legally perk up a 4th of July." -- Dallas Morning News"How is it possible not to love a book with chapter titles like 'Back Porch Rocketry' and 'Greek Fire and the Catapult?' I devoured this prodigious account of all things explosive." --Homer Hickam, author of Rocket Boys

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Book SynopsisDescribes 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, and more. It is suitable for scientists, scholars, and students.

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Book SynopsisProvides 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.Table of ContentsChapter 1 Introduction Chapter 2 Conservation laws of fluid motion and their boundary conditions Chapter 3 Turbulence and its modelling Chapter 4 The finite volume method for diffusion problems Chapter 5 The finite volume method for convection-diffusion problems Chapter 6 Solution algorithms for pressure-velocity coupling in steady flows Chapter 7 Solution of systems of discretised equations Chapter 8 The finite volume method for unsteady flows Chapter 9 Implementation of boundary conditions Chapter 10 Uncertainty in CFD modelling Chapter 11 Methods for dealing with complex geometries Chapter 12 CFD modelling of combustion Chapter 13 Numerical calculation of radiative heat transfer Appendices References Index

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Book SynopsisPhysics 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!Trade ReviewReview 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 *This practical study book for university students will help every student in the preparation of their exams. * Jan M. Broders, Optische Fenomenen *Table of Contents1: 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

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Book SynopsisGovernment 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.Table of ContentsGovernment 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.

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Book SynopsisBy including classical results as well as recent developments in the field of hydrodynamic stability and transition, the book can be used as a textbook for an introductory, graduate-level course in stability theory or for a special-topics fluids course.Trade ReviewFrom the reviews: SIAM REVIEW "This book presents a modern treatment of stability in shear flows. Stability theory has seen a number of classic treatments over the years…Schmid and Henningson’s book builds on these and offers much new material relevant to stability in shear flows…The MATLAB codes included in the appendix and a discussion of the effects of rounding error and resolution on the computations of eigenvalues of linear stability operators will be particularly helpful for students and researchers as they get started with stability computations…As the basis for a course, the first part of the book would permit students to build a solid foundation in classical and modern stability theory, while a selection of advanced topics from the second half of the book could be treated later in the course or through projects and independent study by students." ZENTRALBLATT MATH "The book addresses to graduate students as well as to a broad community of researchers with a basic knowledge of fundamental fluid dynamics…The topics are treated with mathematical rigor while the physical motivation and usefulness of mathematical concepts is kept close at hand. The work is elegantly structured, and the graphical material is very suggestive."Table of Contents1 Introduction and General Results.- 1.1 Introduction.- 1.2 Nonlinear Disturbance Equations.- 1.3 Definition of Stability and Critical Reynolds Numbers.- 1.3.1 Definition of Stability.- 1.3.2 Critical Reynolds Numbers.- 1.3.3 Spatial Evolution of Disturbances.- 1.4 The Reynolds-Orr Equation.- 1.4.1 Derivation of the Reynolds-Orr Equation.- 1.4.2 The Need for Linear Growth Mechanisms.- I Temporal Stability of Parallel Shear Flows.- 2 Linear Inviscid Analysis.- 2.1 Inviscid Linear Stability Equations.- 2.2 Modal Solutions.- 2.2.1 General Results.- 2.2.2 Dispersive Effects and Wave Packets.- 2.3 Initial Value Problem.- 2.3.1 The Inviscid Initial Value Problem.- 2.3.2 Laplace Transform Solution.- 2.3.3 Solutions to the Normal Vorticity Equation.- 2.3.4 Example: Couette Flow.- 2.3.5 Localized Disturbances.- 3 Eigensolutions to the Viscous Problem.- 3.1 Viscous Linear Stability Equations.- 3.1.1 The Velocity-Vorticity Formulation.- 3.1.2 The Orr-Sommerfeld and Squire Equations.- 3.1.3 Squire’s Transformation and Squire’s Theorem.- 3.1.4 Vector Modes.- 3.1.5 Pipe Flow.- 3.2 Spectra and Eigenfunctions.- 3.2.1 Discrete Spectrum.- 3.2.2 Neutral Curves.- 3.2.3 Continuous Spectrum.- 3.2.4 Asymptotic Results.- 3.3 Further Results on Spectra and Eigenfunctions.- 3.3.1 Adjoint Problem and Bi-Orthogonality Condition.- 3.3.2 Sensitivity of Eigenvalues.- 3.3.3 Pseudo-Eigenvalues.- 3.3.4 Bounds on Eigenvalues.- 3.3.5 Dispersive Effects and Wave Packets.- 4 The Viscous Initial Value Problem.- 4.1 The Viscous Initial Value Problem.- 4.1.1 Motivation.- 4.1.2 Derivation of the Disturbance Equations.- 4.1.3 Disturbance Measure.- 4.2 The Forced Squire Equation and Transient Growth.- 4.2.1 Eigenfunction Expansion.- 4.2.2 Blasius Boundary Layer Flow.- 4.3 The Complete Solution to the Initial Value Problem.- 4.3.1 Continuous Formulation.- 4.3.2 Discrete Formulation.- 4.4 Optimal Growth.- 4.4.1 The Matrix Exponential.- 4.4.2 Maximum Amplification.- 4.4.3 Optimal Disturbances.- 4.4.4 Reynolds Number Dependence of Optimal Growth.- 4.5 Optimal Response and Optimal Growth Rate.- 4.5.1 The Forced Problem and the Resolvent.- 4.5.2 Maximum Growth Rate.- 4.5.3 Response to Stochastic Excitation.- 4.6 Estimates of Growth.- 4.6.1 Bounds on Matrix Exponential.- 4.6.2 Conditions for No Growth.- 4.7 Localized Disturbances.- 4.7.1 Choice of Initial Disturbances.- 4.7.2 Examples.- 4.7.3 Asymptotic Behavior.- 5 Nonlinear Stability.- 5.1 Motivation.- 5.1.1 Introduction.- 5.1.2 A Model Problem.- 5.2 Nonlinear Initial Value Problem.- 5.2.1 The Velocity-Vorticity Equations.- 5.3 Weakly Nonlinear Expansion.- 5.3.1 Multiple-Scale Analysis.- 5.3.2 The Landau Equation.- 5.4 Three-Wave Interactions.- 5.4.1 Resonance Conditions.- 5.4.2 Derivation of a Dynamical System.- 5.4.3 Triad Interactions.- 5.5 Solutions to the Nonlinear Initial Value Problem.- 5.5.1 Formal Solutions to the Nonlinear Initial Value Problem.- 5.5.2 Weakly Nonlinear Solutions and the Center Manifold.- 5.5.3 Nonlinear Equilibrium States.- 5.5.4 Numerical Solutions for Localized Disturbances.- 5.6 Energy Theory.- 5.6.1 The Energy Stability Problem.- 5.6.2 Additional Constraints.- II Stability of Complex Flows and Transition.- 6 Temporal Stability of Complex Flows.- 6.1 Effect of Pressure Gradient and Crossflow.- 6.1.1 Falkner-Skan (FS) Boundary Layers.- 6.1.2 Falkner-Skan-Cooke (FSC) Boundary layers.- 6.2 Effect of Rotation and Curvature.- 6.2.1 Curved Channel Flow.- 6.2.2 Rotating Channel Flow.- 6.2.3 Combined Effect of Curvature and Rotation.- 6.3 Effect of Surface Tension.- 6.3.1 Water Table Flow.- 6.3.2 Energy and the Choice of Norm.- 6.3.3 Results.- 6.4 Stability of Unsteady Flow.- 6.4.1 Oscillatory Flow.- 6.4.2 Arbitrary Time Dependence.- 6.5 Effect of Compressibility.- 6.5.1 The Compressible Initial Value Problem.- 6.5.2 Inviscid Instabilities and Rayleigh’s Criterion.- 6.5.3 Viscous Instability.- 6.5.4 Nonmodal Growth.- 7 Growth of Disturbances in Space.- 7.1 Spatial Eigenvalue Analysis.- 7.1.1 Introduction.- 7.1.2 Spatial Spectra.- 7.1.3 Gaster’s Transformation.- 7.1.4 Harmonic Point Source.- 7.2 Absolute Instability.- 7.2.1 The Concept of Absolute Instability.- 7.2.2 Briggs’ Method.- 7.2.3 The Cusp Map.- 7.2.4 Stability of a Two-Dimensional Wake.- 7.2.5 Stability of Rotating Disk Flow.- 7.3 Spatial Initial Value Problem.- 7.3.1 Primitive Variable Formulation.- 7.3.2 Solution of the Spatial Initial Value Problem.- 7.3.3 The Vibrating Ribbon Problem.- 7.4 Nonparallel Effects.- 7.4.1 Asymptotic Methods.- 7.4.2 Parabolic Equations for Steady Disturbances.- 7.4.3 Parabolized Stability Equations (PSE).- 7.4.4 Spatial Optimal Disturbances.- 7.4.5 Global Instability.- 7.5 Nonlinear Effects.- 7.5.1 Nonlinear Wave Interactions.- 7.5.2 Nonlinear Parabolized Stability Equations.- 7.5.3 Examples.- 7.6 Disturbance Environment and Receptivity.- 7.6.1 Introduction.- 7.6.2 Nonlocalized and Localized Receptivity.- 7.6.3 An Adjoint Approach to Receptivity.- 7.6.4 Receptivity Using Parabolic Evolution Equations.- 8 Secondary Instability.- 8.1 Introduction.- 8.2 Secondary Instability of Two-Dimensional Waves.- 8.2.1 Derivation of the Equations.- 8.2.2 Numerical Results.- 8.2.3 Elliptical Instability.- 8.3 Secondary Instability of Vortices and Streaks.- 8.3.1 Governing Equations.- 8.3.2 Examples of Secondary Instability of Streaks and Vortices.- 8.4 Eckhaus Instability.- 8.4.1 Secondary Instability of Parallel Flows.- 8.4.2 Parabolic Equations for Spatial Eckhaus Instability.- 9 Transition to Turbulence.- 9.1 Transition Scenarios and Thresholds.- 9.1.1 Introduction.- 9.1.2 Three Transition Scenarios.- 9.1.3 The Most Likely Transition Scenario.- 9.1.4 Conclusions.- 9.2 Breakdown of Two-Dimensional Waves.- 9.2.1 The Zero Pressure Gradient Boundary Layer.- 9.2.2 Breakdown of Mixing Layers.- 9.3 Streak Breakdown.- 9.3.1 Streaks Forced by Blowing or Suction.- 9.3.2 Freestream Turbulence.- 9.4 Oblique Transition.- 9.4.1 Experiments and Simulations in Blasius Flow.- 9.4.2 Transition in a Separation Bubble.- 9.4.3 Compressible Oblique Transition.- 9.5 Transition of Vortex-Dominated Flows.- 9.5.1 Transition in Flows with Curvature.- 9.5.2 Direct Numerical Simulations of Secondary Instability of Crossflow Vortices.- 9.5.3 Experimental Investigations of Breakdown of Cross-flow Vortices.- 9.6 Breakdown of Localized Disturbances.- 9.6.1 Experimental Results for Boundary Layers.- 9.6.2 Direct Numerical Simulations in Boundary Layers.- 9.7 Transition Modeling.- 9.7.1 Low-Dimensional Models of Subcritical Transition.- 9.7.2 Traditional Transition Prediction Models.- 9.7.3 Transition Prediction Models Based on Nonmodal Growth.- 9.7.4 Nonlinear Transition Modeling.- III Appendix.- A Numerical Issues and Computer Programs.- A.1 Global versus Local Methods.- A.2 Runge-Kutta Methods.- A.3 Chebyshev Expansions.- A.4 Infinite Domain and Continuous Spectrum.- A.5 Chebyshev Discretization of the Orr-Sommerfeld Equation.- A.6 MATLAB Codes for Hydrodynamic Stability Calculations.- A.7 Eigenvalues of Parallel Shear Flows.- B Resonances and Degeneracies.- B.1 Resonances and Degeneracies.- B.2 Orr-Sommerfeld-Squire Resonance.- C Adjoint of the Linearized Boundary Layer Equation.- C.1 Adjoint of the Linearized Boundary Layer Equation.- D Selected Problems on Part I.

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Book SynopsisThis text enables the reader to discuss everyday scientific topics in terms of the basic properties of the atoms, molecules, and polymer chains that go to make up a material. It also discusses the interactions between these fundamental building blocks.Trade Review"the book is a valuable contribution to understanding the behavior of solids, liquids and gases..." --Colloid Polymer Science, June 2000 "An achievement of the author is the presentation of such sophisticated material in an interesting way." --High Temperatures - High Pressures, Vol 32/4, 2000Table of ContentsDescribing Macroscopic Systems. Thermodynamics. Résumé of Classical Mechanics. Modeling Simple Solids (i). Introduction to Quantum Mechanics. Electric Multipoles, Polarizabilities and Intermolecular Forces. Some Statistical Ideas. Applications of the Boltzmann Distribution. Modeling Simple Solids (ii). Molecular Mechanics. Molecular Dynamics and Monte Carlo Techniques. The Ideal Monatomic Gas. Quantum Gases. Introduction to Statistical Thermodynamics. Modeling Atoms. Diatomics. Quantum Modeling of Larger Systems. Describing Electron Correlation. The Band Theory of Solids. Modeling Polymeric Materials. Modeling Liquids. Appendices. Suggestions for Further Reading. Index.

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Book SynopsisDescribes 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.Table of ContentsPreface A GUIDE TO NEWTON'S PRINCIPIA Contents of the Guide Abbreviations CHAPTER ONE: A Brief History of the Principia CHAPTER TWO: Translating the Principia CHAPTER THREE: Some General Aspects of the Principia CHAPTER FOUR: Some Fundamental Concepts of the Principia CHAPTER FIVE : Axioms, or the Laws of Motion CHAPTER SIX: The Structure of Book 1 CHAPTER SEVEN: The Structure of Book 2 CHAPTER EIGHT: The Structure of Book 3 CHAPTER NINE : The Concluding General Scholium CHAPTER TEN: How to Read the Principia CHAPTER ELEVEN : Conclusion THE PRINCIPIA (Mathematical Principles of Natural Philosophy) Halley's Ode to Newton Newton's Preface to the First Edition Newton's Preface to the Second Edition Cotes s Preface to the Second Edition Newton's Preface to the Third Edition Definitions Axioms, or the Laws of Motion BOOK 1: THE MOTION OF BODIES BOOK 2: THE MOTION OF BODIES BOOK 3: THE SYSTEM OF THE WORLD General Scholium Index

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a huge range and FREE tracked UK delivery on ALL orders.

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Book SynopsisSupplementary textbook for all levels of undergraduate physics courses in classical mechanics.Trade Review'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 PhysicsTable of ContentsPreface; 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.

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Book SynopsisA 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.Trade Review'… 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 PhysicsTable of ContentsPart 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.

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Book SynopsisIn the course of the development of electromagnetic, weak and strong interactions, the concept of (internal) gauge invariance grew up and established itself as an unavoidable dynamical principle in particle physics. It is less known that the principle of equivalence, and the basic dynamical properties of the gravitational interaction can also be expressed as a (spacetime) gauge symmetry.Gravitation and Gauge Symmetries sheds light on the connection between the intrinsic structure of gravity and the principle of gauge invariance, which may lead to a consistent unified field theory. The first part of the book gives a systematic account of the structure of gravity as a theory based on spacetime gauge symmetries. Some basic properties of space, time, and gravity are reviewed in the first, introductory chapter. The next chapter deals with elements of global Poincar nd conformal symmetries, which are necessary for the exposition of their localizations; the structure of the correspondTrade Review"The book is very well written. It provides a very good pedagogical survey of the gravity from the point of view of gauge theories that are very successful in explaining the other physical interactions. Basic ideas of the most recent theories of unification of all fundamental physical interactions are explored in an effective way. The book contains very useful examples and exercises making understanding of presented ideas easier, and they extend the results discussed in the text.- Zdenek Stuchlik, Acta Physica Slovaca "The experience and maturity of the writer are manifest in the clear and pedagogical style of exposition. The subject is a difficult one and the going is tough, but the author does an excellent job of making the topics as digestible as possible, without sacrifice of detail and rigor. Mathematical propriety is maintained, and at the same time there are many illuminations of physical intuition, essential to keep the interest of the physicist alive … the book is an excellent introduction to the general area of gauge symmetries and gravity …. this volume is handsomely produced and printed on good quality paper, making a pleasant and useful addition to a theoretician's library."- Lewis Ryder, University of Kent at Canterbury, UK"This book is a rather broad scope, intending to shed light upon the intrinsic structure of gravity and gauge invariance … This book is accompanied by 13 useful appendices, which give, inter alia, some more details on the de Sitter gauge theory, the Ashtekar reformulation of general relativity, and Chern-Simons models in three dimensions ... Certainly, Milutin Blagojevic's book fills a gap in the current literature and will be useful for students and researchers of gravity."Table of ContentsThe Rise of Gauge Theory of Gravity Up to 1961: From Special to General Relativity Theory; Analyzing General Relativity Theory; A Fresh Start by Yang - Mills and Utiyama; Poincare Gauge Theory: Einstein - Cartan( - Sciama - Kibble) Theory as a Viable Gravitational Theory; General Structure of Poincare Gauge Theory (Including Quadratic Lagrangians); Translational Gauge Theory; Fallacies About Torsion; Extending the Gauge Group of Gravity: Poincare Group Plus Scale Transformations: Weyl - Cartan Gauge Theory of Gravity; From the Poincare to the Affine Group: Metric-Affine Gravity; Conformal Gauge Theory of Gravity; (Anti-)de Sitter Gauge Theory of Gravity; From the Square Root of Translations to the Super-Poincare Group; Specific Subjects of Metric-Affine Gravity and Poincare Gauge Theory: Hamiltonian Structure; Equations of Motion for Matter; Cosmological Models; Exact Solutions; Poincare Gauge Theory in Three Dimensions; Dislocations and Torsion; The Yang Episode: A Historical Case Study.

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Book SynopsisAnalytical mechanics is a set of mathematical tools used to describe a wide range of physical systems, both in classical mechanics and beyond. It offers a powerful and elegant alternative to Newtonian mechanics; however it can be challenging to learn due to its high degree of mathematical complexity. Designed to offer a more intuitive guide to this abstract topic, this guide explains the mathematical theory underlying analytical mechanics; helping students to formulate, solve and interpret complex problems using these analytical tools. Each chapter begins with an example of a physical system to illustrate the theoretical steps to be developed in that chapter, and ends with a set of exercises to further develop students'' understanding. The book presents the fundamentals of the subject in depth before extending the theory to more elaborate systems, and includes a further reading section to ensure that this is an accessible companion to all standard textbooks.Trade Review'Bohn has written an excellent supplement for understanding analytical mechanics … A further reading section at the back provides useful directions for more study. Overall this will serve as an excellent supplement to a regular mechanics textbook.' S. Tripathi, ChoiceTable of ContentsPreface; Part I. Overview: 1. Why analytical mechanics?; 2. Ways of looking at a pendulum; Part II. Equations of Motion: 3. Constraints and d'Alembert's principle; 4. Lagrangian mechanics; 5. Samples from Lagrangian mechanics; 6. Hamiltonian mechanics; Part III. Methods of Solution: 7. Hamilton–Jacobi theory; 8. Action-Angle variables; 9. More applications of analytical mechanics; Further reading; Index.

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Physics of Continuous Matter: Exotic and Everyday Phenomena in the Macroscopic World, Second Edition provides an introduction to the basic ideas of continuum physics and their application to a wealth of macroscopic phenomena. The text focuses on the many approximate methods that offer insight into the rich physics hidden in fundamental continuum mechanics equations. Like its acclaimed predecessor, this second edition introduces mathematical tools on a need-to-know basis.New to the Second EditionThis edition includes three new chapters on elasticity of slender rods, energy, and entropy. It also offers more margin drawings and photographs and improved images of simulations. Along with reorganizing much of the material, the author has revised many of the physics arguments and mathematical presentations to improve clarity and consistency. The collection of problems at the end of each chapter has been expanded as well. These problems

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Book Synopsis

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Book Synopsis

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Book SynopsisThis is the fifth edition of a well-established textbook. It is intended to provide a thorough coverage of the fundamental principles and techniques of classical mechanics, an old subject that is at the base of all of physics, but in which there has also in recent years been rapid development. The book is aimed at undergraduate students of physics and applied mathematics. It emphasizes the basic principles, and aims to progress rapidly to the point of being able to handle physically and mathematically interesting problems, without getting bogged down in excessive formalism. Lagrangian methods are introduced at a relatively early stage, to get students to appreciate their use in simple contexts. Later chapters use Lagrangian and Hamiltonian methods extensively, but in a way that aims to be accessible to undergraduates, while including modern developments at the appropriate level of detail. The subject has been developed considerably recently while retaining a truly central role for all students of physics and applied mathematics.This edition retains all the main features of the fourth edition, including the two chapters on geometry of dynamical systems and on order and chaos, and the new appendices on conics and on dynamical systems near a critical point. The material has been somewhat expanded, in particular to contrast continuous and discrete behaviours. A further appendix has been added on routes to chaos (period-doubling) and related discrete maps. The new edition has also been revised to give more emphasis to specific examples worked out in detail.Classical Mechanics is written for undergraduate students of physics or applied mathematics. It assumes some basic prior knowledge of the fundamental concepts and reasonable familiarity with elementary differential and integral calculus.Trade Review"Classical Mechanics by T Kibble and F Berkshire is tailor-made for budding theoreticians. It lays the groundwork for relativity and quantum theory, quickly progressing beyond Newtonian mechanics to the alternative formulations of Joseph Lagrange and William Hamilton." New Scientist "... the student who requires a good book on the older aspects of Classical Mechanics together with a brief introduction to newer ideas will find the third edition useful." Contemporary Physics "This volume, by Kibble and Berkshire, has proved to be a successful book ... the written content and presentation are all excellent." European Journal of Physics

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Book SynopsisGraduate 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. The 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. Table of ContentsIntroduction.- 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) = Esinw0t; 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 p .- Riemann’s Result and Consequences for Physics and Philosophy.

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Book SynopsisIntroduction.- Deformations.- Stress .- Constitutive equations.- Exact solutions of non-linear elasticity.

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Book Synopsis

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Book SynopsisA study of the fundamental theory of waves appropriate for first year graduate students in oceanography, meteorology and associated sciences. Starting with an elementary overview of the basic wave concept, specific wave phenomena are then examined, including: surface gravity waves, internal gravity waves, lee waves, waves in the presence of rotation, and geostrophic adjustment. Each wave topic is used to introduce either a new technique or concept in general wave theory. Emphasis is placed on connectivity between the various subjects and on the physical interpretation of the mathematical results. The book contains numerous exercises at the end of the respective chapters.Trade ReviewFrom the reviews: Praise for Joseph Pedlosky's Waves in the ocean and atmosphere American Meteorological Society "This title presents a study of the fundamental theory of waves appropriate for first year graduate students. After an elementary overview of the basic wave concept, specific phenomena are then examined, including surface and internal gravity waves, lee waves, geostrophic adjustment, wave-mean flow interaction, and unstable waves. Each wave topic is used to introduce either a new technique or concept in general wave theory. Emphasis is placed on connectivity between the various subjects and on the physical interpretation of the mathematical results" "Pedlosky has spent his time well in writing Waves in the Ocean and Atmosphere. … The writing is informal and engaging. … the clarity of the figures and text is uniformly high. … my message to students and researchers working in the fields of atmospheric and oceanic dynamics is ‘buy this book’. You will find it an invaluable reference work." (Andrew J. Willmott, Geophysical and Astrophysical Fluid Dynamics, Vol. 99 (4), August, 2005) "This book is based on the author’s lecture notes for a core course on wave theory … . The treatment is avowedly informal, making the presentation more easily accessible to beginning students … . the book is a welcome contribution to the literature by a distinguished investigator … . It can benefit students whether or not it is the required text for a course, and can be used as well as a reference or guide by others. The opportunity to share the insights of a teacher … should not be missed." (John Merrill, Bulletin of the American Meteorological Society, April, 2005) Table of Contents1 Introduction.- 2 Kinematic Generalization.- 3 Equations of Motion; Surface Gravity Waves.- 4 Fields of Motion in Gravity Waves and Energy.- 5 The Initial Value Problem.- 6 Discussion of Initial Value Problem [Continued).- 7 Internal Gravity Waves.- 8 Internal Waves, Group Velocity and Reflection.- 9 WKB Theory for Internal Gravity Waves.- 10 Vertical Propagation of Waves: Steady Flow and the Radiation Condition.- 11 Rotation and Potential Vorticity.- 12 Large-Scale Hydrostatic Motions.- 13 Shallow Water Waves in a Rotating Fluid; Poincare and Kelvin Waves.- 14 Rossby Waves.- 15 Rossby Waves (Continued), Quasi-Geostrophy.- 16 Energy and Energy Flux in Rossby Waves.- 17 Laplace Tidal Equations and the Vertical Structure Equation.- 18 Equatorial Beta-Plane and Equatorial Waves.- 19 Stratified Quasi-Geostrophic Motion and Instability Waves.- 20 Energy Equation and Necessary Conditions for Instability.- 21 Wave-Mean Flow Interaction.- Problems.- References.

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Book SynopsisThis 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.Table of ContentsChapter 1: Introduction to the Science of Motion.- Chapter 2: Kinematics of Particles.- Chapter 3: Kinetics of Particles.- Chapter 4: Work and Energy.- Chapter 5: Impulse and Momentum.- Chapter 6: Dynamics of Rigid Bodies in Plane Motion.- Chapter 7: Special Topics.- Appendix: A.- Unit Multiplies.- Important Physical Quantities.- Moment of Inertia of Rigid Bodies.Appendix B: Answers to Exercise problems.

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