{"product_id":"classical-mechanics-9780470715741","title":"Classical Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eClassical Mechanics is a comprehensive yet concise introduction to classical mechanics and relativity. Assuming only a minimum of mathematical knowledge, the book combines a user-friendly style with an authoritative approach to its subject, beginning with Newton's laws and advancing onto an exposition of Einstein's Special Relativity.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"This book aimed at undergraduate physics and engineering students, presents in a user-friendly style an authoritative approach to the complementary subjects of classical mechanics and relativity.\" (Zentralblatt MATH, 2011)  \u003cp\u003e \"\"When McCall (Imperial College London) decided to produce a second edition of his introductory textbook, he was keen to keep it accessible to third-year undergraduates with minimal background in mathematics. So he has embellished the original material rather than expanding into more advanced areas. New discussions include a body free-falling a large distance under gravity, a demonstration that snooker balls always scatter at 90 degrees, the rotation of arbitrary bodies, and the tennis racket theorem.\" (\u003ci\u003eReference and Research Book News\u003c\/i\u003e, February 2011)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface to Second Edition xi\u003c\/p\u003e \u003cp\u003ePreface to First Edition xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Newton’s Laws 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 What is Mechanics? 1\u003c\/p\u003e \u003cp\u003e1.2 Mechanics as a Scientific Theory 1\u003c\/p\u003e \u003cp\u003e1.3 Newtonian vs. Einsteinian Mechanics 2\u003c\/p\u003e \u003cp\u003e1.4 Newton’s Laws 3\u003c\/p\u003e \u003cp\u003e1.5 A Deeper Look at Newton’s Laws 5\u003c\/p\u003e \u003cp\u003e1.6 Inertial Frames 7\u003c\/p\u003e \u003cp\u003e1.7 Newton’s Laws in Noninertial Frames 10\u003c\/p\u003e \u003cp\u003e1.8 Switching Off Gravity 11\u003c\/p\u003e \u003cp\u003e1.9 Finale – Laws, Postulates or Definitions? 12\u003c\/p\u003e \u003cp\u003e1.10 Summary 12\u003c\/p\u003e \u003cp\u003e1.11 Problems 13\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 One-dimensional Motion 15\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Rationale for One-dimensional Analysis 15\u003c\/p\u003e \u003cp\u003e2.2 The Concept of a Particle 16\u003c\/p\u003e \u003cp\u003e2.3 Motion with a Constant Force 17\u003c\/p\u003e \u003cp\u003e2.4 Work and Energy 17\u003c\/p\u003e \u003cp\u003e2.5 Impulse and Power 19\u003c\/p\u003e \u003cp\u003e2.6 Motion with a Position-dependent Force 19\u003c\/p\u003e \u003cp\u003e2.7 The Nature of Energy 21\u003c\/p\u003e \u003cp\u003e2.8 Potential Functions 22\u003c\/p\u003e \u003cp\u003e2.9 Equilibria 25\u003c\/p\u003e \u003cp\u003e2.10 Motion Close to a Stable Equilibrium 25\u003c\/p\u003e \u003cp\u003e2.11 The Stability of the Universe 26\u003c\/p\u003e \u003cp\u003e2.12 Trajectory of a Body Falling a Large Distance Under Gravity 30\u003c\/p\u003e \u003cp\u003e2.13 Motion with a Velocity-dependent Force 32\u003c\/p\u003e \u003cp\u003e2.14 Summary 34\u003c\/p\u003e \u003cp\u003e2.15 Problems 35\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Oscillatory Motion 39\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 39\u003c\/p\u003e \u003cp\u003e3.2 Prototype Harmonic Oscillator 39\u003c\/p\u003e \u003cp\u003e3.3 Differential Equations 40\u003c\/p\u003e \u003cp\u003e3.4 General Solution for Simple Harmonic Motion 41\u003c\/p\u003e \u003cp\u003e3.5 Energy in Simple Harmonic Motion 43\u003c\/p\u003e \u003cp\u003e3.6 Damped Oscillations 44\u003c\/p\u003e \u003cp\u003e3.7 Light Damping – the \u003ci\u003eQ \u003c\/i\u003eFactor 47\u003c\/p\u003e \u003cp\u003e3.8 Heavy Damping and Critical Damping 49\u003c\/p\u003e \u003cp\u003e3.9 Forced Oscillations 51\u003c\/p\u003e \u003cp\u003e3.10 Complex Number Method 57\u003c\/p\u003e \u003cp\u003e3.11 Electrical Analogue 60\u003c\/p\u003e \u003cp\u003e3.12 Power in Forced Oscillations 61\u003c\/p\u003e \u003cp\u003e3.13 Coupled Oscillations 62\u003c\/p\u003e \u003cp\u003e3.14 Summary 67\u003c\/p\u003e \u003cp\u003e3.15 Problems 69\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Two-body Dynamics 75\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Rationale 75\u003c\/p\u003e \u003cp\u003e4.2 Centre of Mass 75\u003c\/p\u003e \u003cp\u003e4.3 Internal Motion: Reduced Mass 76\u003c\/p\u003e \u003cp\u003e4.4 Collisions 77\u003c\/p\u003e \u003cp\u003e4.5 Elastic Collisions 78\u003c\/p\u003e \u003cp\u003e4.6 Inelastic Collisions 81\u003c\/p\u003e \u003cp\u003e4.7 Centre-of-mass Frame 83\u003c\/p\u003e \u003cp\u003e4.8 Rocket Motion 88\u003c\/p\u003e \u003cp\u003e4.9 Launch Vehicles 90\u003c\/p\u003e \u003cp\u003e4.10 Summary 92\u003c\/p\u003e \u003cp\u003e4.11 Problems 93\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Relativity 1: Space and Time 97\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Why Relativity? 97\u003c\/p\u003e \u003cp\u003e5.2 Galilean Relativity 98\u003c\/p\u003e \u003cp\u003e5.3 The Fundamental Postulates of Relativity 99\u003c\/p\u003e \u003cp\u003e5.4 Inertial Observers in Relativity 102\u003c\/p\u003e \u003cp\u003e5.5 Comparing Transverse Distances Between Frames 103\u003c\/p\u003e \u003cp\u003e5.6 Lessons from a Light Clock: Time Dilation 105\u003c\/p\u003e \u003cp\u003e5.7 Proper Time 107\u003c\/p\u003e \u003cp\u003e5.8 Interval Invariance 108\u003c\/p\u003e \u003cp\u003e5.9 The Relativity of Simultaneity 109\u003c\/p\u003e \u003cp\u003e5.10 The Relativity of Length: Length Contraction 110\u003c\/p\u003e \u003cp\u003e5.11 The Lorentz Transformations 111\u003c\/p\u003e \u003cp\u003e5.12 Velocity Addition 115\u003c\/p\u003e \u003cp\u003e5.13 Particles Moving Faster than Light: Tachyons 116\u003c\/p\u003e \u003cp\u003e5.14 Summary 118\u003c\/p\u003e \u003cp\u003e5.15 Problems 119\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Relativity 2: Energy and Momentum 123\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Energy and Momentum 123\u003c\/p\u003e \u003cp\u003e6.2 The Meaning of Rest Energy 129\u003c\/p\u003e \u003cp\u003e6.3 Relativistic Collisions and Decays 130\u003c\/p\u003e \u003cp\u003e6.4 Photons 131\u003c\/p\u003e \u003cp\u003e6.5 Units in High-energy Physics 133\u003c\/p\u003e \u003cp\u003e6.6 Energy\/Momentum Transformations Between Frames 134\u003c\/p\u003e \u003cp\u003e6.7 Relativistic Doppler Effect 136\u003c\/p\u003e \u003cp\u003e6.8 Summary 137\u003c\/p\u003e \u003cp\u003e6.9 Problems 139\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Gravitational Orbits 143\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 143\u003c\/p\u003e \u003cp\u003e7.2 Work in Three Dimensions 143\u003c\/p\u003e \u003cp\u003e7.3 Torque and Angular Momentum 144\u003c\/p\u003e \u003cp\u003e7.4 Central Forces 147\u003c\/p\u003e \u003cp\u003e7.5 Gravitational Orbits 151\u003c\/p\u003e \u003cp\u003e7.6 Kepler’s Laws 157\u003c\/p\u003e \u003cp\u003e7.7 Comments 159\u003c\/p\u003e \u003cp\u003e7.8 Summary 160\u003c\/p\u003e \u003cp\u003e7.9 Problems 160\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Rigid Body Dynamics 165\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 165\u003c\/p\u003e \u003cp\u003e8.2 Torque and Angular Momentum for Systems of Particles 166\u003c\/p\u003e \u003cp\u003e8.3 Centre of Mass of Systems of Particles and Rigid Bodies 167\u003c\/p\u003e \u003cp\u003e8.4 Angular Momentum of Rigid Bodies 169\u003c\/p\u003e \u003cp\u003e8.5 Kinetic Energy of Rigid Bodies 174\u003c\/p\u003e \u003cp\u003e8.6 Bats, Cats, Pendula and Gyroscopes 175\u003c\/p\u003e \u003cp\u003e8.7 General Rotation About a Fixed Axis 181\u003c\/p\u003e \u003cp\u003e8.8 Principal Axes 186\u003c\/p\u003e \u003cp\u003e8.9 Examples of Principal Axes and Principal Moments of Inertia 187\u003c\/p\u003e \u003cp\u003e8.10 Kinetic Energy of a Body Rotating About a Fixed Axis 191\u003c\/p\u003e \u003cp\u003e8.11 Summary 192\u003c\/p\u003e \u003cp\u003e8.12 Problems 193\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Rotating Frames 199\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 199\u003c\/p\u003e \u003cp\u003e9.2 Experiments on Roundabouts 200\u003c\/p\u003e \u003cp\u003e9.3 General Prescription for Rotating Frames 202\u003c\/p\u003e \u003cp\u003e9.4 The Centrifugal Term 204\u003c\/p\u003e \u003cp\u003e9.5 The Coriolis Term 205\u003c\/p\u003e \u003cp\u003e9.6 The Foucault Pendulum 207\u003c\/p\u003e \u003cp\u003e9.7 Free Rotation of a Rigid Body – Tennis Rackets and Matchboxes 211\u003c\/p\u003e \u003cp\u003e9.8 Final Thoughts 213\u003c\/p\u003e \u003cp\u003e9.9 Summary 214\u003c\/p\u003e \u003cp\u003e9.10 Problems 214\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix 1: Vectors, Matrices and Eigenvalues 217\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 The Scalar (Dot) Product 217\u003c\/p\u003e \u003cp\u003eA.2 The Vector (Cross) Product 218\u003c\/p\u003e \u003cp\u003eA.3 The Vector Triple Product 219\u003c\/p\u003e \u003cp\u003eA.4 Multiplying a Vector by a Matrix 220\u003c\/p\u003e \u003cp\u003eA.5 Calculating the Determinant of a 3 \u003ci\u003e× \u003c\/i\u003e3 Matrix 220\u003c\/p\u003e \u003cp\u003eA.6 Eigenvectors and Eigenvalues 221\u003c\/p\u003e \u003cp\u003eA.7 Diagonalising Symmetric Matrices 223\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix 2: Answers to Problems 225\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix 3: Bibliography 229\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIndex 230\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402418135383,"sku":"9780470715741","price":142.45,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780470715741.jpg?v=1730480338","url":"https:\/\/bookcurl.com\/products\/classical-mechanics-9780470715741","provider":"Book Curl","version":"1.0","type":"link"}