Classical Mechanics by Goldstein Book PDF Download Free 2022

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Download Classical Mechanics by Goldstein Book PDF For Free

Classical Mechanics by Goldstein Book PDF Download Free

This book has been the acknowledged standard in advanced classical mechanics courses. This classic book enables readers to make connections between classical and modern physics — an indispensable part of a physicist’s education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the book to include the latest topics, applications, and notation to reflect today’s physics curriculum.

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BOOK CONTENTS

1.》  Survey of the Elementary Principles

  • 1.1 Mechanics of a Particle
  • 1.2 Mechanics of a System of Particles
  • 1.3 Constraints
  • 1.4 D’Alembert’s Principle and Lagrange’s Equations
  • 1.5 Velocity-Dependent Potentials and the Dissipation Function
  • 1.6 Simple Applications of the Lagrangian Formulation

2.》  Variational Principles and Lagrange’s Equations

  • 2.1 Hamilton’s Principle
  • 2.2 Some Techniques of the Calculus of Variations
  • 2.3 Derivation of Lagrange’s Equations from Hamilton’s Principle
  • 2.4 Extension of Hamilton’s Principle to Nonholonomic Systems
  • 2.5 Advantages of a Variational Principle Formulation
  • 2.6 Conservation Theorems and Symmetry Properties
  • 2.7 Energy Function and the Conservation of Energy

3.》  The Central Force Problem

  • 3.1 Reduction to the Equivalent One-Body Problem
  • 3.2 The Equations of Motion and First Integrals
  • 3.3 The Equivalent One-Dimensional Problem, and Classification of Orbits
  • 3.4 The Virial Theorem
  • 3.5 The Differential Equation for the Orbit, and Integrable Power-Law Potentials
  • 3.6 Conditions for Closed Orbits (Bertrand’s Theorem)
  • 3.7 The Kepler Problem: Inverse-Square Law of Force
  • 3.8 The Motion in Time in the Kepler Problems
  • 3.9 The Laplace-Runge-Lenz Vector
  • 3.10 Scattering in a Central Force Field
  • 3.11 Transformation of the Scattering Problem to Laboratory Coordinates
  • 3.12 The Three-Body Problem

4.》  The Kinematics of Rigid Body Motion

  • 4.1 The Independent Coordinates of a Rigid Body
  • 4.2 Orthogonal Transformations
  • 4.3 Formal Properties of the Transformation Matrix
  • 4.4 The Euler Angles
  • 4.5 The Cayley-Klein Parameters and Related Quantities
  • 4.6 Euler’s Theorem on the Motion of a Rigid Body
  • 4.7 Finite Rotations
  • 4.8 Infinitesimal Rotations
  • 4.9 Rate of Change of a Vector
  • 4.10 The Coriolis Effect

5.》  The Rigid Body Equations of Motion

  • 5.1 Angular Momentum and Kinetic Energy of Motion about a Point
  • 5.2 Tensors
  • 5.3 The Inertia Tensor and the Moment of Inertia
  • 5.4 The Eigenvalues of the Inertia Tensor and the Principal Axis Transformation
  • 5.5 Solving Rigid Body Problems and the Euler Equations of Motion
  • 5.6 Torque-free Motion of a Rigid Body
  • 5.7 The Heavy Symmetrical Top with One Point Fixed
  • 5.8 Precession of the Equinoxes and of Satellite Orbits
  • 5.9 Precession of Systems of Charges in a Magnetic Field

6.》  Oscillations

  • 6.1 Formulation of the Problem
  • 6.2 The Eigenvalue Equation and the Principal Axis Transformation
  • 6.3 Frequencies of Free Vibration, and Normal Coordinates
  • 6.4 Free Vibrations of a Linear Triatomic Molecule
  • 6.5 Forced Vibrations and the Effect of Dissipative Forces
  • 6.6 Beyond Small Oscillations: The Damped Driven Pendulum and the Josephson Junction

7.》  The Classical Mechanics of the Special Theory of Relativity

  • 7.1 Basic Postulates of the Special Theory
  • 7.2 Lorentz Transformations
  • 7.3 Velocity Addition and Thomas Precession
  • 7.4 Vectors and the Metric Tensor
  • 7.5 1-Forms and Tensors
  • 7.6 Forces in the Special Theory; Electromagnetism
  • 7.7 Relativistic Kinematics of Collisions and Many-Particle Systems
  • 7.8 Relativistic Angular Momentum
  • 7.9 The Lagrangian Formulation of Relativistic Mechanics
  • 7.10 Covariant Lagrangian Formulations
  • 7.11 Introduction to the General Theory of Relativity

8.》  The Hamilton Equations of Motion

  • 8.1 Legendre Transformations and the Hamilton Equations of Motion
  • 8.2 Cyclic Coordinates and Conservation Theorems
  • 8.3 Routh’s Procedure
  • 8.4 The Hamiltonian Formulation of Relativistic Mechanics
  • 8.5 Derivation of Hamilton’s Equations from a Variational Principle
  • 8.6 The Principle of Least Action

9.》  Canonical Transformations

  • 9.1 The Equations of Canonical Transformation
  • 9.2 Examples of Canonical Transformations
  • 9.3 The Harmonic Oscillator
  • 9.4 The Symplectic Approach to Canonical Transformations
  • 9.5 Poisson Brackets and Other Canonical Invariants
  • 9.6 Equations of Motion, Infinitesimal Canonical Transformations, andConservation Theorems in the Poisson Bracket Formulation
  • 9.7 The Angular Momentum Poisson Bracket Relations
  • 9.8 Symmetry Groups of Mechanical Systems
  • 9.9 Liouville’s Theorem

10.》  Hamilton-Jacobi Theory and Action-Angle Variables

  • 10.1 The Hamilton-Jacobi Equation for Hamilton’s Principal Function
  • 10.2 The Harmonic Oscillator Problem as an Example of the Hamilton-Jacobi Method
  • 10.3 The Hamilton-Jacobi Equation for Hamilton’s Characteristic Function
  • 10.4 Separation of Variables in the Hamilton-Jacobi Equation
  • 10.5 Ignorable Coordinates and the Kepler Problem
  • 10.6 Action-angle Variables in Systems of One Degree of Freedom
  • 10.7 Action-Angle Variables for Completely Separable Systems
  • 10.8 The Kepler Problem in Action-angle Variables

11.》  Classical Chaos

  • 11.1 Periodic Motion
  • 11.2 Perturbations and the Kolmogorov-Arnold-Moser Theorem
  • 11.3 Attractors
  • 11.4 Chaotic Trajectories and Liapunov Exponents
  • 11.5 Poincaré Maps
  • 11.6 Hénon-Heiles Hamiltonian
  • 11.7 Bifurcations, Driven-damped Harmonic Oscillator, and Parametric Resonance
  • 11.8 The Logistic Equation
  • 11.9 Fractals and Dimensionality

12.》  Canonical Perturbation Theory

  • 12.1 Introduction
  • 12.2 Time-dependent Perturbation Theory
  • 12.3 Illustrations of Time-dependent Perturbation Theory
  • 12.4 Time-independent Perturbation Theory
  • 12.5 Adiabatic Invariants

13.》  Introduction to the Lagrangian and Hamiltonian Formulations for Continuous Systems and Fields

  • 13.1 The Transition from a Discrete to a Continuous System
  • 13.2 The Lagrangian Formulation for Continuous Systems
  • 13.3 The Stress-energy Tensor and Conservation Theorems
  • 13.4 Hamiltonian Formulation
  • 13.5 Relativistic Field Theory
  • 13.6 Examples of Relativistic Field Theories
  • 13.7 Noether’s Theorem

》 Appendix A :

  • Euler Angles in Alternate Conventions and Cayley-Klein Parameters

》 Appendix B :

  • Groups and Algebras
  • Selected Bibliography
  • Author Index
  • Subject Index
》COPYRIGHT DISCLAIMER
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》 BOOK DETAILS 

Book nameClassical Mechanics
AuthorsHerbert Goldstein
Useful forB.Sc / M.Sc / Ph.D / etc..
LanguageEnglish
Total Pages636 Pages
FormatPDF
File size45.00 MB
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