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John 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.

Classical Mechanics

Part

I: THE ESSENTIALS













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









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









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









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









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









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









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









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









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











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









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













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









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









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









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













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