Classical mechanics Books
World Scientific Publishing Co Pte Ltd Advanced Continuum Theories And Finite Element
Book SynopsisThis 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.
£130.50
Springer Verlag, Singapore Hydrostatics and Stability of Marine Vehicles:
Book SynopsisThis book addresses the hydrostatics and stability of ships and other floating marine structures - a fundamental aspect of naval architecture and offshore engineering for naval architects and marine engineers. It starts from the most basic concepts, assuming that the reader has no prior knowledge of the subject. By presenting the topic in a methodical and step-by-step manner, the book helps students to enhance their understanding, while also providing valuable guidelines for lecturers teaching related courses.Table of ContentsBasic Ship Geometry.- Basic Hydrostatics.- Moments and Centroids.- Numerical Integration Methods.- Trim and Longitudinal Stability.- Statical Stability at Small Heels Angles.- Statical Stability at Large Heel Angles.- Dynamical Stability.- Intact Stability Criteria.- Damage Stability and Watertight Subdivision.
£34.99
Springer Verlag, Singapore Thermofluid Dynamics
£71.99
Elsevier Science Elasticity
Book Synopsis
£89.96
University Science Books,U.S. Classical Mechanics
Book SynopsisJohn Taylor has brought to his most recent book, Classical Mechanics, all of the clarity and insight that made his Introduction to Error Analysis a best-selling text. Classical Mechanics 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. Adopted by more than 450 colleges and universities in the USA and Canada and translated into six languages, Taylor's Classical Mechanics 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. Ancillaries A detailed Instructors' Manual is available for adopting professors. Art from the book may be downloaded by adopting professors. Table of ContentsPART I: THE ESSENTIALS Chapter 1: Newton's Laws of Motion 1.1 Classical Mechanics 1.2 Space and Time 1.3 Mass and Force 1.4 Newton's First and Second Laws; Inertial Frames 1.5 The Third Law and Conservation of the Momentum 1.6 Newton's Second Law in Cartesian Coordinates 1.7 Two-Dimensional Polar Coordinates 1.8 Problems for Chapter 1 Chapter 2: Projectiles and Charged Particles 2.1 Air Resistance 2.2 Linear Air Resistance 2.3 Trajectory and Range in a Linear Motion 2.4 Quadratic Air Resistance 2.5 Motion of a Charge in a Uniform Magnetic Field 2.6 Complex Exponentials 2.7 Solution for the Charge in a B Field 2.8 Problems for Chapter 2 Chapter 3: Momentum and Angular Momentum 3.1 Conservation of Momentum 3.2 Rockets 3.3 The Center of Mass 3.4 Angular Momentum for a Single Particle 3.5 Angular Momentum for Several Particles 3.6 Problems for Chapter 3 Chapter 4: Energy 4.1 Kinetic Energy and Work 4.2 Potential Energy and Conservative Forces 4.3 Force as the Gradient of Potential Energy 4.4 The Second Condition that F be Conservative 4.5 Time-Dependent Potential Energy 4.6 Energy for Linear One-Dimensional Systems 4.7 Curvilinear One-Dimensional Systems 4.8 Central Forces 4.9 Energy of Interaction of Two Particles 4.10 The Energy of a Multiparticle System 4.11 Problems for Chapter 4 Chapter 5: Oscillations 5.1 Hooke's Law 5.2 Simple Harmonic Motion 5.3 Two-Dimensional Oscillators 5.4 Damped Oscillators 5.5 Driven Damped Oscillations 5.6 Resonance 5.7 Fourier Series 5.8 Fourier Series Solution for the Driven Oscillator 5.9 The RMS Displacement; Parseval's Theorem 5.10 Problems for Chapter 5 Chapter 6: Calculus of Variations 6.1 Two Examples 6.2 The Euler-Lagrange Equation 6.3 Applications of the Euler-Lagrange Equation 6.4 More than Two Variables 6.5 Problems for Chapter 6 Chapter 7: Lagrange's Equations 7.1 Lagrange's Equations for Unconstrained Motion 7.2 Constrained Systems; an Example 7.3 Constrained Systems in General 7.4 Proof of Lagrange's Equations with Constraints 7.5 Examples of Lagrange's Equations 7.6 Conclusion 7.7 Conservation Laws in Lagrangian Mechanics 7.8 Lagrange's Equations for Magnetic Forces 7.9 Lagrange Multipliers and Constraint Forces 7.10 Problems for Chapter 7 Chapter 8: Two-Body Central Force Problems 8.1 The Problem 8.2 CM and Relative Coordinates; Reduced Mass 8.3 The Equations of Motion 8.4 The Equivalent One-Dimensional Problems 8.5 The Equation of the Orbit 8.6 The Kepler Orbits 8.7 The Unbonded Kepler Orbits 8.8 Changes of Orbit 8.9 Problems for Chapter 8 Chapter 9: Mechanics in Noninertial Frames 9.1 Acceleration without Rotation 9.2 The Tides 9.3 The Angular Velocity Vector 9.4 Time Derivatives in a Rotating Frame 9.5 Newton's Second Law in a Rotating Frame 9.6 The Centrifugal Force 9.7 The Coriolis Force 9.8 Free Fall and The Coriolis Force 9.9 The Foucault Pendulum 9.10 Coriolis Force and Coriolis Acceleration 9.11 Problems for Chapter 9 Chapter 10: Motion of Rigid Bodies 10.1 Properties of the Center of Mass 10.2 Rotation about a Fixed Axis 10.3 Rotation about Any Axis; the Inertia Tensor 10.4 Principal Axes of Inertia 10.5 Finding the Principal Axes; Eigenvalue Equations 10.6 Precession of a Top Due to a Weak Torque 10.7 Euler's Equations 10.8 Euler's Equations with Zero Torque 10.9 Euler Angles 10.10 Motion of a Spinning Top 10.11 Problems for Chapter 10 Chapter 11: Coupled Oscillators and Normal Modes 11.1 Two Masses and Three Springs 11.2 Identical Springs and Equal Masses 11.3 Two Weakly Coupled Oscillators 11.4 Lagrangian Approach; the Double Pendulum 11.5 The General Case 11.6 Three Coupled Pendulums 11.7 Normal Coordinates 11.8 Problems for Chapter 11 PART II: FURTHER TOPICS Chapter 12: Nonlinear Mechanics and Chaos 12.1 Linearity and Nonlinearity 12.2 The Driven Damped Pendulum or DDP 12.3 Some Expected Features of the DDP 12.4 The DDP; Approach to Chaos 12.5 Chaos and Sensitivity to Initial Conditions 12.6 Bifurcation Diagrams 12.7 State-Space Orbits 12.8 Poincare Sections 12.9 The Logistic Map 12.10 Problems for Chapter 12 Chapter 13: Hamiltonian Mechanics 13.1 The Basic Variables 13.2 Hamilton's Equations for One-Dimensional Systems 13.3 Hamilton's Equations in Several Dimensions 13.4 Ignorable Coordinates 13.5 Lagrange's Equations vs. Hamilton's Equations 13.6 Phase-Space Orbits 13.7 Liouville's Theorem 13.8 Problems for Chapter 13 Chapter 14: Collision Theory 14.1 The Scattering Angle and Impact Parameter 14.2 The Collision Cross Section 14.3 Generalizations of the Cross Section 14.4 The Differential Scattering Cross Section 14.5 Calculating the Differential Cross Section 14.6 Rutherford Scattering 14.7 Cross Sections in Various Frames 14.8 Relation of the CM and Lab Scattering Angles 14.9 Problems for Chapter 14 Chapter 15: Special Relativity 15.1 Relativity 15.2 Galilean Relativity 15.3 The Postulates of Special Relativity 15.4 The Relativity of Time; Time Dilation 15.5 Length Contraction 15.6 The Lorentz Transformation 15.7 The Relativistic Velocity-Addition Formula 15.8 Four-Dimensional Space-Time; Four-Vectors 15.9 The Invariant Scalar Product 15.10 The Light Cone 15.11 The Quotient Rule and Doppler Effect 15.12 Mass, Four-Velocity, and Four-Momentum 15.13 Energy, the Fourth Component of Momentum 15.14 Collisions 15.15 Force in Relativity 15.16 Massless Particles; the Photon 15.17 Tensors 15.18 Electrodynamics and Relativity 15.19 Problems for Chapters 15 Chapter 16: Continuum Mechanics 16.1 Transverse Motion of a Taut String 16.2 The Wave Equation 16.3 Boundary Conditions; Waves on a Finite String 16.4 The Three-Dimensional Wave Equation 16.5 Volume and Surface Forces 16.6 Stress and Strain: the Elastic Moduli 16.7 The Stress Tensor 16.8 The Strain Tensor for a Solid 16.9 Relation between Stress and Strain: Hooke's Law 16.10 The Equation of Motion for an Elastic Solid 16.11 Longitudinal and Transverse Waves in a Solid 16.12 Fluids: Description of the Motion 16.13 Waves in a Fluid 16.14 Problems for Chapter 16
£112.55
Cambridge University Press Gravity from the Ground Up An Introductory Guide to Gravity and General Relativity
a huge range and FREE tracked UK delivery on ALL orders.
£66.49
Springer Principles of Quantum Mechanics
Book Synopsis1. 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.Trade Review`An excellent text....The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succint manner.' - American Scientist, from a review of the First EditionTable of ContentsMathematical 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
£67.49
John Wiley & Sons Inc The Physics of Vibrations and Waves
Book SynopsisThe main theme of this highly successful book is that the transmission of energy by wave propogation is fundamental to almost every branch of physics. Therefore, besides giving students a thorough grounding in the theory of waves and vibrations, the book also demonstrates the pattern and unity of a large part of physics. This new edition has been thoroughly revised and has been redeisgned to meet the best contemporary standards. It includes new material on electron waves in solids using the Kronig-Penney model to show how their allowed energies are limited to Brillouin zones, The role of phonons is also discussed. An Optical Transform is used to demonstrate the modern method of lens testing. In the last two chapters the sections on chaos and solitons have been reduced but their essential contents remain. As with earlier editions, the book has a large number of problems together with hints on how to solve them. The Physics of Vibrations and Waves, 6th Edition will proveTrade Review"This is an excellent textbook, full of interesting material clearly explained, and fully worthy of being studied by future contributors ..." (Journal of Sound and Vibration: 293, July 2006)Table of ContentsIntroduction to First Edition. Introduction to Second Edition. Introduction to Third Edition. Introduction to Fourth Edition. Introduction to Fifth Edition. Introduction to Sixth Edition. 1. Simple Harmonic Motion. 2. Damped Simple Harmonic Motion. 3. The Forced Oscillator. 4. Coupled Oscillations. 5. Transverse Wave Motion. 6. Longitudinal Waves. 7. Waves on Transmission Lines. 8. Electromagnetic Waves. 9. Waves in More than One Dimension. 10. Fourier Methods. 11. Waves in Optical Systems. 12. Interference and Diffraction. 13. Wave Mechanics. 14 Non-linear Oscillations and Chaos. 15 Non-linear Waves, Shocks and Solitons. Appendix 1: Normal Modes, Phase Space and Statistical Physics. Appendix 2: Kirchhoff’s Integral Theorem. Appendix 3: Non-Linear Schrödinger Equation. Index.
£169.16
Dey Street Books Thing Explainer
Book Synopsis
£16.74
Cambridge University Press Classical Dynamics A Contemporary Approach
Book SynopsisAdvances in the study of dynamical systems have revolutionized the way that classical mechanics is taught and understood. Classical Dynamics, first published in 1998, is a comprehensive textbook that provides a complete description of this fundamental branch of physics. The authors cover all the material that one would expect to find in a standard graduate course: Lagrangian and Hamiltonian dynamics, canonical transformations, the Hamilton-Jacobi equation, perturbation methods, and rigid bodies. They also deal with more advanced topics such as the relativistic Kepler problem, Liouville and Darboux theorems, and inverse and chaotic scattering. A key feature of the book is the early introduction of geometric (differential manifold) ideas, as well as detailed treatment of topics in nonlinear dynamics (such as the KAM theorem) and continuum dynamics (including solitons). The book contains many worked examples and over 200 homework exercises. It will be an ideal textbook for graduate studenTrade Review'It strikes the right balance between physical reasoning and mathematical sophistication, at the same time as it takes the reader to the forefront of active research in the field … I recommend this book to instructors and students alike.' Meinhard E. Mayer, Physics Today'Classical Dynamics strikes the right balance between physical reasoning and mathematical sophistication, at the same time as it takes the reader to the forefront of active research in the field … I highly recommended this book to instructors and students alike.' Meinhard E. Mayer, Physics Today'… it is well written, with a thorough set of references, and would serve as an excellent resource for students and faculty alike who wish to learn many of the most important aspects of the mathematical physics behind the renaissance of classical mechanics.' R. W. Robinett, American Journal of PhysicsTable of Contents1. Fundamentals of mechanics; 2. Lagrangian formulation of mechanics; 3. Topics in Lagrangian dynamics; 4. Scattering and linear oscillations; 5. Hamiltonian formulation of mechanics; 6. Topics in Hamiltonian dynamics; 7. Nonlinear dynamics; 8. Virigid bodies; 9. Continuum dynamics.
£71.24
Springer International Publishing AG Elementary Mechanics Using Matlab: A Modern Course Combining Analytical and Numerical Techniques
Book SynopsisThis book – specifically developed as a novel textbook on elementary classical mechanics – shows how analytical and numerical methods can be seamlessly integrated to solve physics problems. This approach allows students to solve more advanced and applied problems at an earlier stage and equips them to deal with real-world examples well beyond the typical special cases treated in standard textbooks.Another advantage of this approach is that students are brought closer to the way physics is actually discovered and applied, as they are introduced right from the start to a more exploratory way of understanding phenomena and of developing their physical concepts.While not a requirement, it is advantageous for the reader to have some prior knowledge of scientific programming with a scripting-type language. This edition of the book uses Matlab, and a chapter devoted to the basics of scientific programming with Matlab is included. A parallel edition using Python instead of Matlab is also available.Last but not least, each chapter is accompanied by an extensive set of course-tested exercises and solutions.Table of Contents Introduction.- Getting started with programming.- Units and measurement.- Motion in one dimension.- Forces in one dimension.- Motion in two and three dimensions.- Forces in two and three dimensions.- Constrained motion.- Forces and constrained motion.- Work.- Energy.- Momentum, impulse, and collisions.- Multiparticle systems.- Rotational motion.- Rotation of rigid bodies.- Dynamics of rigid bodies.- Proofs.- Solutions.- Index.
£49.99
Forgotten Books Sir Isaac Newton's Mathematische Principien Der Naturlehre: Mit Bemerkungen Und Erläuterungen (Classic Reprint)
£33.24
Springer Methods of Analysis and Solutions of Crack
Book SynopsisIt is weH known that the traditional failure criteria cannot adequately explain failures which occur at a nominal stress level considerably lower than the ultimate strength of the material. The current procedure for predicting the safe loads or safe useful life of a structural member has been evolved around the discipline oflinear fracture mechanics. This approach introduces the concept of a crack extension force which can be used to rank materials in some order of fracture resistance. The idea is to determine the largest crack that a material will tolerate without failure. Laboratory methods for characterizing the fracture toughness of many engineering materials are now available. While these test data are useful for providing some rough guidance in the choice of materials, it is not clear how they could be used in the design of a structure. The understanding of the relationship between laboratory tests and fracture design of structures is, to say the least, deficient. Fracture mechanics is presently at astandstill until the basic problems of scaling from laboratory models to fuH size structures and mixed mode crack propagation are resolved. The answers to these questions require some basic understanding ofthe theory and will not be found by testing more specimens. The current theory of fracture is inadequate for many reasons. First of aH it can only treat idealized problems where the applied load must be directed normal to the crack plane.
£170.99
LEGARE STREET PR Higher Mechanics
£17.95
Black Dog & Leventhal Publishers Inc How Things Work
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.
£14.24
University of California Press The Principia The Authoritative Translation
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.
£16.14
Cambridge University Press A Students Guide to Analytical Mechanics
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.
£19.99
Cambridge University Press Continuum Mechanics Volume 1
Book SynopsisContinuum mechanics studies the foundations of deformable body mechanics from a mathematical perspective. It also acts as a base upon which other applied areas such as solid mechanics and fluid mechanics are developed. This book discusses some important topics, which have come into prominence in the latter half of the twentieth century, such as material symmetry, frame-indifference and thermomechanics. The study begins with the necessary mathematical background in the form of an introduction to tensor analysis followed by a discussion on kinematics, which deals with purely geometrical notions such as strain and rate of deformation. Moving on to derivation of the governing equations, the book also presents applications in the areas of linear and nonlinear elasticity. In addition, the volume also provides a mathematical explanation to the axioms and laws of deformable body mechanics, and its various applications in the field of solid mechanics.Table of ContentsList of figures; List of tables; Preface; Notations; 1. Introduction to tensors; 2. Kinematics, 3. Balance laws; 4. Constitutive equations; 5. Nonlinear elasticity; 6. Linearized elasticity; 7. Thermomechanics; 8. Rigid-body dynamics; Appendices; Bibliography; Index.
£73.14
Nova Science Publishers Inc Group Theoretical Foundations of Quantum
Book SynopsisGroup Theoretical Foundations of Quantum Mechanics
£83.29
Nova Science Publishers Inc Statistical Mechanics & Random Walks: Principles,
Book Synopsis
£278.99
Oxford University Press Einsteins Universe
Book SynopsisIn his conversational style, Anthony Zee examines the nature of gravity and its role in our universe. Zee starts from a birthday gift that Albert Einstein received on his seventy-sixth birthday that worked on the main principle in his theory of gravity. From there Zee leads the reader through the implications of Einstein''s theory and its influence on modern physics. Einstein''s Universe in a witty and accessible style also examines how the theory of gravity has shaped our understanding of how the universe began, the development of stars and galaxies, and the nature of space itself. The new Oxford edition will include a new afterword by the author that will bring the subject matter up to date.Trade Review"An extraordinary writer: playful, inspired, and brilliant."--Publishers Weekly "Zee writes with wry, poetic humor.... It's as if he is conducting an easygoing conversation with his audience...a scientist who can clearly evoke the imagery hidden within a mathematical equation, treating some rather formidable material with enthusiasm and delight."--The New York Times "A brash, breezy, and authoritative discussion...a fascinating book."--The Washington Post "Through his engaging, conversational style, Zee...succeeds in informing while entertaining the reader with disarming stories."--The San Francisco Chronicle "Among the numerous authors who have written popularizations of contemporary physics, none is better than Zee at explaining things simply."--Library Journal "An extraordinary writer: playful, inspired, and brilliant."--Publishers Weekly "Zee writes with wry, poetic humor.... It's as if he is conducting an easygoing conversation with his audience...a scientist who can clearly evoke the imagery hidden within a mathematical equation, treating some rather formidable material with enthusiasm and delight."--The New York Times "A brash, breezy, and authoritative discussion...a fascinating book."--The Washington Post "Through his engaging, conversational style, Zee...succeeds in informing while entertaining the reader with disarming stories."--The San Francisco Chronicle "Among the numerous authors who have written popularizations of contemporary physics, none is better than Zee at explaining things simply."--Library Journal "How many times have you actually laughed out loud reading a book on physics? If your answer is 'Never!', then you should pick up a copy of An Old Man's Toy [Einstein's Universe].... Many books on physics can be very interesting, but it is rare to find one that is actually fun to read. I thoroughly enjoyed reading it and would recommend it to anyone. A. Zee has a style of writing that makes one keep turning the pages.... [The book] is interesting, playfully written, and very readable. Don't pass it up."--The Science Teacher "A. Zee is that rare creature: a physicist who knows how to tell a story. (His previous book) Fearful Symmetry was...lucid, entertaining. In this reprise, Zee is just as fascinating, and even funnier...with his prankish good humor and gifts for simplifying the complicated.... An Old Man's Toy [Einstein's Universe] is both a delightful read and a faithful yet accessible look at an avant-garde that is far more revolutionary than any downtown's club scene...it is too rare an opportunity to miss."--Life of New YorkTable of ContentsPROLOGUE: THE APPLE AND THE MOON ; I. THE RISE OF GRAVITY ; II. THE EXPANDING UNIVERSE ; III. STRUCTURES OUT OF THE VOID ; IV. THE MYSTERY OF GRAVITY
£16.49
Oxford University Press, USA An Introduction to the Kinetic Theory of Gases and Magnetoplasmas Oxford Science Publications
Book SynopsisGives a physical treatment of the kinetic theory of gases and magnetoplasmas, using mean-free-path arguments when possible and identifying problem areas where received theory has either failed or fallen short of expectations. L.C. Woods has also written "The Thermodynamics of Fluid Systems".Trade Reviewthe book presents a treatment of the kinetic theory of gases and magnetoplasmas in such a way that it covers the standard material in a way as simple as possible .,.. The book seems to radiate a deep conviction - which is appreciated by the reviewer - that the development of the kinetic theory needs not only calculational skills and computational magic in evaluating the content of the theory in model arrangements, but equally, if not in excess, deep insight into the physical processes. * I. Abonyi, Besprechungsbelege, February 1994 *Table of Contents1. Basic concepts ; 2. The Maxwellian velocity distribution ; 3. Elementary kinetic theory ; 4. Particle diffusion ; 5. Intermediate kinetic theory ; 6. Advanced kinetic theory ; 7. Boltzmann's kinetic equation ; 8. Second-order kinetic theory ; 9. Dynamics of charged particles ; 10. Kinetic theory for magnetoplasmas ; 11. Transport across strong magnetic fields ; Appendix ; References ; Index
£82.65
Oxford University Press Ludwig Boltzmann
Book SynopsisThis book presents the life and personality, the scientific and philosophical work of Ludwig Boltzmann, one of the great scientists who marked the passage from 19th- to 20th-Century physics. His rich and tragic life, ending by suicide at the age of 62, is described in detail. A substantial part of the book is devoted to discussing his scientific and philosophical ideas and placing them in the context of the second half of the 19th century. The fact that Boltzmann was the man who did most to establish that there is a microscopic, atomic structure underlying macroscopic bodies is documented, as is Boltzmann''s influence on modern physics, especially through the work of Planck on light quanta and of Einstein on Brownian motion.Boltzmann was the centre of a scientific upheaval, and he has been proved right on many crucial issues. He anticipated Kuhn''s theory of scientific revolutions and proposed a theory of knowledge based on Darwin. His basic results, when properly understood, can also Trade ReviewIt is valuable, not only for the wealth and scope of information it provides, but for offering an up-to-date view, accessible to all, of Boltzmann's scientific ideas. * Studies in History and Philosophy of Modern Physics *Carlo Cercignani has made an important contribution to our understanding of the man and his work in the context of his times... Much of the book will be interesting for the general reader. * George Fleck, The Chemical Intelligencer *I can warmly recommend the book to everybody who is interested in the history of science. * Dieter Flamm, Physics World *Table of ContentsForeword ; Preface ; Introduction ; 1. A short biography of Ludwig Boltzmann ; 2. Physics before Boltzmann ; 3. Kinetic theory before Boltzmann ; 4. The Boltzmann equation ; 5. Time irreversibility and the H-theorem ; 6. Boltzmann's relation and the statistical interpretation of entropy ; 7. Boltzmann, Gibbs and equilibrium statistical mechanics ; 8. The problem of polyatomic molecules ; 9. Boltzmann's contributions to other branches of physics ; 10. Boltzmann as a philosopher ; 11. Boltzmann and his contemporaries ; 12. The influence of Boltzmann's ideas on the science and technology of the twentieth century ; Epilogue ; Chronologys ; "A German professor's journey to Eldorado" ; Appendices
£45.12
Oxford University Press The Pendulum
Book SynopsisThe pendulum: a case study in physics is a unique book in several ways. Firstly, it is a comprehensive quantitative study of one physical system, the pendulum, from the viewpoint of elementary and more advanced classical physics, modern chaotic dynamics, and quantum mechanics. In addition, coupled pendulums and pendulum analogs of superconducting devices are also discussed. Secondly, this book treats the physics of the pendulum within a historical and cultural context, showing, for example, that the pendulum has been intimately connected with studies of the earth''s density, the earth''s motion, and timekeeping. While primarily a physics book, the work provides significant added interest through the use of relevant cultural and historical vignettes. This approach offers an alternative to the usual modern physics courses. The text is amply illustrated and augmented by exercises at the end of each chapter.Trade ReviewIn this well-illustrated treatment of the study of pendulum, Baker (Bryn Athyn College of the New Church) and Blackburn (Wilfrid Laurier U.) provide fascinating information about the history of the pendulum and what scientists thought it did, the revolution wrought by Foucault, the special cases of the torsion pendulum, the chaotic pendulum, the quantum pendulum, and coupled pendulums, the effects of superconductivity, and the most familiar to most of us, the pendulum clock. They include information on special interests in the appendices, such as the inverted pendulum and the longnow clock. * SciTech Book News *One of the delightful aspects of this book is its attention to historical detail. Not only does this add greatly to the enjoyment of reading it, it also gives a vivid impression of progress in our knowledge of the physical world, all too often absent in more focused and specialized works. * Contemporary Physics *The Pendulum presents insights and unusual approaches that will broaden the experience of undergraduate physics students. * Kenneth S. Krane, Physics Today *Table of Contents1. Introduction ; 2. Pendulums somewhat simple ; 3. Pendulums less simple ; 4. The Foucault pendulum ; 5. The torsion pendulum ; 6. The chaotic pendulum ; 7. Coupled pendulums ; 8. The quantum pendulum ; 9. Superconductivity and the pendulum ; 10. The pendulum clock ; A. Pendulum Q ; B. The inverted pendulum ; C. The double pendulum ; D. The cradle pendulum ; E. The long now clock ; F. The Blackburn pendulum
£46.54
Springer Engineering Thermodynamics SI Edition
a huge range and FREE tracked UK delivery on ALL orders.
£85.49
Springer Fundamentals of Magnetohydrodynamics
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Automotive Engine Alternatives
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Laser Interaction and Related Plasma Phenomena Volume 9 Laser Interaction Related Plasma Phenomena
a huge range and FREE tracked UK delivery on ALL orders.
£85.49
Springer A Guide to Physics Problems
Book SynopsisCombining solved standard and original physics problems from major American universities, this book equips graduate students with the knowledge necessary to pass the qualifying examination. It covers such topics as Mechanics; Relativity; Electrodynamics; Thermodynamics; Statistical Mechanics; and Quantum Mechanics.Table of ContentsMechanics: Falling Chain. Cat and Mouse Tug of War. Cube Bouncing off Wall. CueStruck Billiard Ball. Stability on Rotating Rollers. Swan and Crawfish. Mud from Tire. Car Down Ramp Up Loop. Pulling Strings. Thru Earth Train. String Oscillations. Hovering Helicopter. Astronaut Tether. Spiral Orbit. Relativity: Marking Sticks. Rockets in Collision. Photon Box. Cube's Apparent Rotation. Relativistic Rocket. Rapidity. Charge in Constant Electric Field. Charge in Electric Field and Flashing Satellites. Uniformly Accelerated Motion. Compton Scattering. Electrodynamics: Charge Distribution. Electrostatic Forces and Scaling. Dipole Energy. Charged Conducting Sphere in Constant Electric Field. Charge and Conducting Sphere. Charge and Conducting Sphere II. Conducting Cylinder and Line Charge. Spherical Void in Dielectric. Charge and Dielectric. Dielectric Cylinder in Uniform Electric Field. 125 additional problems. Index.
£71.24
Springer Optical Diagnostics for Flow Processes Summer School Papers
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Atomic and Molecular Processes in Fusion Edge Plasmas NATO Challenges of Modern Society 19
a huge range and FREE tracked UK delivery on ALL orders.
£170.99
Springer Navier Stokes Equations and Related Nonlinear Problems Proceedings of the Third International Conference Held in Funchal Madeira Portugal May 2127 1994
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Modern Analytic Mechanics
a huge range and FREE tracked UK delivery on ALL orders.
£85.49
Springer Strongly Coupled Coulomb Systems Proceedings of an International Conference Held in Chestnut Hill MA August 310 1997
a huge range and FREE tracked UK delivery on ALL orders.
£170.99
Springer Noninvasive Assessment of Trabecular Bone Architecture and The Competence of Bone
a huge range and FREE tracked UK delivery on ALL orders.
£142.49
Springer Exact Solutions and Scalar Fields in Gravity Recent Developments
a huge range and FREE tracked UK delivery on ALL orders.
£85.49
Springer Processing by Centrifugation
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Elements of Continuum Mechanics and Conservation Laws
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Pulsed Power
Book SynopsisPulsed Systems: Design Principles.- Lumped Parameter Pulse Systems.- Pulse Generation Using Long Lines.- Physics of Pulsed Electrical Discharges.- The Vacuum Discharge.- The Pulsed Discharge in Gas.- Electrical Discharges in Liquids.- Properties of Coaxial Lines.- Solid-Insulated Coaxial Lines.- Liquid-Insulated Lines.- Vacuum Lines with Magnetic Self-Insulation.- Spark Gap Switches.- High-Pressure Gas Gaps.- Low-Pressure Spark Gaps.- Solid-State and Liquid Spark Gaps.- Generators with Plasma Closing Switches.- Generators with Gas-Discharge Switches.- Marx Generators.- Pulse Transformers.- Generators with Plasma Opening Switches.- Pulse Generators with Electrically Exploded Conductors.- Pulse Generators with Plasma Opening Switches.- Electron-Triggered Gas-Discharge Switches.- Pulse Power Generators with Solid-State Switches.- Semiconductor Closing Switches.- Semiconductor Opening Switches.- Pulse Power Generators in Circuits with Magnetic Elements.- Long Lines with Nonlinear ParameterTable of ContentsPreface Part 1: Pulsed Systems: Design Principles 1. Lumped Parameter Pulse Systems 2. Pulse Generation Using Long Lines Part 2: Physics of Pulsed Electrical Discharges 3. The Vacuum Discharge 4. The Pulsed Discharge in Gas 5. Electrical Discharges in Liquids Part 3: Properties of Coaxial Lines 6. Solid-Insulated Coaxial Lines 7. Liquid-Insulated Lines 8. Vacuum Lines with Magnetic Self-Insulation Part 4: Spark Gap Switches 9. High-Pressure Gas Gaps 10. Low-Pressure Spark Gaps 11. Solid-State and Liquid Spark Gaps Part 5: Generators with Plasma Closing Switches 12. Generators with Gas-Discharge Switches 13. Marx Generators 14. Pulse Transformers Part 6: Generators with Plasma Opening Switches 15. Pulse Generators with Electrically Exploded Conductors 16. Pulse Generators with Plasma Opening Switches 17. Electron-Triggered Gas-Discharge Switches Part 7: Pulse Power Generators with Solid-State Switches 18. Semiconductor Closing Switches 19 Semiconductor Opening Switches 20. Pulse Power Generators in Circuits with Magnetic Elements 21. Long Lines with Nonlinear Parameters Part 8: Electron Diodes and Electron-Diode-Based Accelerators 22. Large-Cross-Section Electron Beams 23. Annular Electron Beams 24. Dense Electron Beams and Their Focusing Part 9: High-Power Pulse Sources of Electromagnetic Radiation 25. High-Power X-Ray Pulses 26. High-Power Pulsed Gas Lasers 27. Generation of High-Power Pulsed Microwaves 28. Generation of Ultrawideband Radiation Pulses Index
£265.99
Springer Stress and Strain Basic Concepts Of Continuum Mechanics For Geologists
Book SynopsisI Introductory.- 1 Material constitution of rocks.- 2 Mechanical state.- 3 Change in mechanical state.- 4 Mechanical significance of structure.- II Forces in Rocks.- 5 Classes of forces.- 6 Stress on a plane.- 7 The stress ellipsoid, I.- 8 The stress ellipsoid, II.- 9 Mohr circle for stress.- 10 Tensor components of stress.- 11 Cauchy's formula, transformation of tensor components.- 12 Stress fields.- 13 Stress history.- III Deformation of Rocks.- 14 Distortion and deformation, measures of distortion.- 15 The strain ellipsoid.- 16 Mohr circle for infinitesimal strain.- 17 Mohr circle for finite strain.- 18 Displacement and deformation gradients.- 19 Tensor components of infinitesimal strain, I.- 20 Tensor components of infinitesimal strain, II.- 21 Tensor components of finite strain, I.- 22 Tensor components of finite strain, II.- 23 Strain fields.- 24 Strain history.- IV Topics Involving Forces and Deformation.- 25 Hookean behavior.- 26 Newtonian behavior.- 27 Energy consumed in deforTable of ContentsI Introductory.- 1 Material constitution of rocks.- 2 Mechanical state.- 3 Change in mechanical state.- 4 Mechanical significance of structure.- II Forces in Rocks.- 5 Classes of forces.- 6 Stress on a plane.- 7 The stress ellipsoid, I.- 8 The stress ellipsoid, II.- 9 Mohr circle for stress.- 10 Tensor components of stress.- 11 Cauchy’s formula, transformation of tensor components.- 12 Stress fields.- 13 Stress history.- III Deformation of Rocks.- 14 Distortion and deformation, measures of distortion.- 15 The strain ellipsoid.- 16 Mohr circle for infinitesimal strain.- 17 Mohr circle for finite strain.- 18 Displacement and deformation gradients.- 19 Tensor components of infinitesimal strain, I.- 20 Tensor components of infinitesimal strain, II.- 21 Tensor components of finite strain, I.- 22 Tensor components of finite strain, II.- 23 Strain fields.- 24 Strain history.- IV Topics Involving Forces and Deformation.- 25 Hookean behavior.- 26 Newtonian behavior.- 27 Energy consumed in deformation.
£89.99
Springer Introductory MEMS
a huge range and FREE tracked UK delivery on ALL orders.
£98.99
Springer Quantum Computation in Solid State Systems
a huge range and FREE tracked UK delivery on ALL orders.
£152.05
Springer Interfacial Transport Phenomena
a huge range and FREE tracked UK delivery on ALL orders.
£170.99
Springer Atomistic Modeling of Materials Failure
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Vibration Dynamics and Control
a huge range and FREE tracked UK delivery on ALL orders.
£104.49
Springer Dissipative Ordered Fluids Theories for Liquid Crystals 100 Surveys and Tutorials in the Applied Mathematical Sciences
a huge range and FREE tracked UK delivery on ALL orders.
£85.49
Springer Fluid Dynamics Theory Computation and Numerical Simulation
a huge range and FREE tracked UK delivery on ALL orders.
£94.99
Springer New York Geophysical Fluid Dynamics
Book SynopsisRevised and updated, it includes expanded discussions of * the fundamentals of geostrophic turbulence * the theory of wave-mean flow interaction * thermocline theory * finite amplitude barocline instability.Trade ReviewFrom the reviews"The author has done a masterful job in presenting the theory with the necessary mathematical foundation, while keeping the physical aspects in clear view ... it is an outstanding introduction to a complex and important subject." (GEOPHYSICS)Table of ContentsPreliminaries * Fundamentals * Inviscid Shallow-Water Theory * Friction and Viscous Flow * Homogeneous Models of the Wind-Driven Oceanic Circulation * Quasigeostrophic Motion of a Stratified Fluid on a Sphere * Instability Theory * Ageostrophic Motion
£85.49
