Classical Mechanics for Students

This collection of books provides thorough yet accessible coverage of classical mechanics, an old subject that is at the base of all of physics but encounters rapid development in recent years. Lagrangian mechanics and Hamiltonian mechanics are being used extensively in explaining classical mechanics concepts. With detailed derivations and explanations, this book series targets undergraduates and graduates in Physics and applied mathematics and provides focused guidance for their studies by repeatedly emphasizing how various topics are tied together by common physics principles.

• Classical Mechanics (5th Edition)
• Classical Mechanics: Lecture Notes
• A Brief Introduction to Classical Mechanics with Illustrative Problems

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• Classical Mechanics, 5th Edition:
  • Linear Motion
  • Energy and Angular Momentum
  • Central Conservative Forces
  • Rotating Frames
  • Potential Theory
  • The Two-Body Problem
  • Many-Body Systems
  • Rigid Bodies
  • Lagrangian Mechanics
  • Small Oscillations and Normal Modes
  • Hamiltonian Mechanics
  • Dynamical Systems and Their Geometry
  • Order and Chaos in Hamiltonian Systems
  • Appendices:
    • Vectors
    • Conics
    • Phase Plane Analysis Near Critical Points
    • Discrete Dynamical Systems — Maps
• A Brief Introduction to Classical Mechanics with Illustrative Problems:
  • Force and Energy
  • Newtonian Gravity
  • Scattering and Systems of Particles
  • Non-Inertial Frames
  • Extended Rigid Bodies
  • Lagrangian Formulation
  • Hamiltonian Formulation
  • Variational Problems
  • Appendices:
    • Derivation of the Lagrange Equations
    • Prolate and Oblate Coordinates
    • Laplace Equation
• Classical Mechanics: Lecture Notes:
  • Preface
  • Newtonian Mechanics
  • Lagrangian Mechanics
  • Variational Principles
  • Hamiltonian Mechanics
  • Mechanics of Rigid Bodies
  • Small Oscillations
  • Continuum Mechanics
  • Beyond Classical Mechanics
  • Appendices:
    • Coordinates, Vector Operations, etc.
    • Dirac δ Distribution
    • Green's Function Method: An Example
  • Index