Mathematical Methods of Classical Mechanics

Authors:

ISBN: 978-1-4419-3087-3 (Print) 978-1-4757-2063-1 (Online)

Table of contents (10 chapters)

  1. Front Matter

    Pages N3-xvi

  2. Newtonian Mechanics

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-14

      Experimental facts

    3. No Access

      Book Chapter

      Pages 15-52

      Investigation of the equations of motion

  3. Lagrangian Mechanics

    1. Front Matter

      Pages 53-53

    2. No Access

      Book Chapter

      Pages 55-74

      Variational principles

    3. No Access

      Book Chapter

      Pages 75-97

      Lagrangian mechanics on manifolds

    4. No Access

      Book Chapter

      Pages 98-122

      Oscillations

    5. No Access

      Book Chapter

      Pages 123-159

      Rigid bodies

  4. Hamiltonian Mechanics

    1. Front Matter

      Pages 161-161

    2. No Access

      Book Chapter

      Pages 163-200

      Differential forms

    3. No Access

      Book Chapter

      Pages 201-232

      Symplectic manifolds

    4. No Access

      Book Chapter

      Pages 233-270

      Canonical formalism

    5. No Access

      Book Chapter

      Pages 271-300

      Introduction to perturbation theory

  5. Back Matter

    Pages 301-519