عنوان

Classical mechanics : from Newton to Einstein : a modern introduction

شماره استاندارد

85895

نام نخستين پديدآور

McCall, Martin W.

عنوان اصلي

Classical mechanics : from Newton to Einstein : a modern introduction

محل نشرو پخش و غیره

Hoboken, NJ

نام ناشر، پخش کننده و غيره

Wiley

تاریخ نشرو بخش و غیره

2011

نام خاص و کميت اثر

xiv, 235 p.: ill.

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Martin W. McCall

متن يادداشت

2nd ed

متن يادداشت

Machine generated contents note: Preface to Second Edition -- Preface to First Edition -- 1 Newton's Laws -- 1.1 What is Mechanics? -- 1.2 Mechanics as a Scientific Theory -- 1.3 Newtonian vs. Einsteinian Mechanics -- 1.4 Newton's Laws -- 1.5 A Deeper Look at Newton's Laws -- 1.6 Inertial Frames -- 1.7 Newton's Laws in Non-Inertial Frames -- 1.8 Switching off Gravity -- 1.9 Finale-Laws, Postulates or Definitions? -- 1.01 Summary -- 1.11 Problems -- 2 One Dimensional Motion -- 2.1 Rationale for One Dimensional Analysis -- 2.2 The Concept of a Particle -- 2.3 Motion with a Constant Force -- 2.4 Work and Energy -- 2.5 Impulse and Power -- 2.6 Motion with a Position-Dependent Force -- 2.7 The Nature of Energy -- 2.8 Potential Functions -- 2.9 Equilibria -- 2.01 Motion Close to a Stable Equilibrium -- 2.11 The Stability of the Universe -- 2.21 Motion with a Velocity-Dependent Force -- 2.31 Trajectory of a Body Falling a Large Distance Under Gravity -- 2.41 Summary -- 2.51 Problems -- 3 Oscillatory Motion -- 3.1 Introduction -- 3.2 Prototype Harmonic Oscillator -- 3.3 Differential Equations -- 3.4 General Solution for Simple Harmonic Motion -- 3.5 Energy in Simple Harmonic Motion -- 3.6 Damped Oscillations -- 3.7 Light Damping--the Q Factor -- 3.8 Heavy Damping and Critical Damping -- 3.9 Forced Oscillations -- 3.01 Complex Number Method -- 3.11 Electrical Analogue -- 3.21 Power in Forced Oscillations -- 3.31 Coupled Oscillations -- 3.41 Summary -- 3.51 Problems -- 4 Two Body Dynamics -- 4.1 Rationale -- 4.2 Centre of Mass -- 4.3 Internal Motion: Reduced Mass -- 4.4 Collisions -- 4.5 Elastic Collisions -- 4.6 Inelastic Collisions -- 4.7 Centre of Mass Frame -- 4.8 Rocket Motion -- 4.9 Launch Vehicles -- 4.01 Summary -- 4.11 Problems -- 5 Relativity 1: Space and Time -- 5.1 Why Relativity? -- 5.2 Galilean Relativity -- 5.3 The Fundamental Postulates of Relativity -- 5.4 Inertial Observers in Relativity -- 5.5 Comparing Transverse Distances Between Frames -- 5.6 Lessons from a Light Clock: Time Dilation -- 5.7 Proper Time -- 5.8 Interval Invariance -- 5.9 The Relativity of Simultaneity -- 5.01 The Relativity of Length: Length Contraction -- 5.11 The Lorentz Transformations -- 5.21 Velocity Addition -- 5.31 Particles Moving Faster than Light: Tachyons -- 5.41 Summary -- 5.51 Problems -- 6 Relativity 2: Energy and Momentum -- 6.1 Energy and Momentum -- 6.2 The Meaning of Rest Energy -- 6.3 Relativistic Collisions and Decays -- 6.4 Photons -- 6.5 Units in High-Energy Physics -- 6.6 Energy/Momentum Transformations Between Frames -- 6.7 Relativistic Doppler Effect -- 6.8 Summary -- 6.9 Problems -- 7 Gravitational Orbits -- 7.1 Introduction -- 7.2 Work in Three Dimensions -- 7.3 Torque and Angular Momentum -- 7.4 Central Forces -- 7.5 Gravitational Orbits -- 7.6 Kepler's Laws -- 7.7 Comments -- 7.8 Summary -- 7.9 Problems -- 8 Rigid Body Dynamics -- 8.1 Introduction -- 8.2 Torque and Angular Momentum for Systems of Particles -- 8.3 Centre-of-Mass of Systems of Particles and Rigid Bodies -- 8.4 Angular Momentum of Rigid Bodies -- 8.5 Kinetic Energy of Rigid Bodies -- 8.6 Bats, Cats, Pendula and Gyroscopes -- 8.7 General Rotation about a Fixed Axis -- 8.8 Principal Axes -- 8.9 Examples of Principal Axes and Principal Moments of Inertia -- 8.01 Kinetic Energy of a Body Rotating About a Fixed Axis -- 8.11 Summary -- 8.21 Problems -- 9 Rotating Frames -- 9.1 Introduction -- 9.2 Experiments on Roundabouts -- 9.3 General Prescription for Rotating Frames -- 9.4 The Centrifugal Term -- 9.5 The Coriolis Term -- 9.6 The Foucault Pendulum -- 9.7 Free Rotation of a Rigid Body - Tennis Racquets and Matchboxes -- 9.8 Final Thoughts -- 9.9 Summary -- 9.01 Problems -- Appendices: Vectors, Matrices and Eigenvalues -- A.1 The Scalar )Dot( Product -- A.2 The Vector )Cross( Product -- A.3 The Vector Triple Product -- A.4 Multiplying a Vector by a Matrix -- A.5 Calculating the Determinant of a 3 x 3 Matrix -- A.6 Eigenvectors and Eigenvalues -- A.7 Diagonalising Symmetric Matrices -- Index

عنصر شناسه ای

، Mechanics

شماره

شماره رده

کد نقش

AU

عنصر شناسه اي

TI

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