Classical Mechanics with Mathematica®

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ISBN: 978-0-8176-8351-1 (Print) 978-0-8176-8352-8 (Online)

Table of contents (24 chapters)

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  1. Front Matter

    Pages i-xiv

  2. Introduction to Linear Algebra and Differential Geometry

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-15

      Vector Space and Linear Maps

    3. No Access

      Book Chapter

      Pages 17-28

      Tensor Algebra

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      Book Chapter

      Pages 29-40

      Skew-Symmetric Tensors and Exterior Algebra

    5. No Access

      Book Chapter

      Pages 41-59

      Euclidean and Symplectic Vector Spaces

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      Book Chapter

      Pages 61-65

      Duality and Euclidean Tensors

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      Book Chapter

      Pages 67-93

      Differentiable Manifolds

    8. No Access

      Book Chapter

      Pages 95-103

      One-Parameter Groups of Diffeomorphisms

    9. No Access

      Book Chapter

      Pages 105-115

      Exterior Derivative and Integration

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      Book Chapter

      Pages 117-133

      Absolute Differential Calculus

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      Book Chapter

      Pages 135-158

      An Overview of Dynamical Systems

  3. Mechanics

    1. Front Matter

      Pages 159-159

    2. No Access

      Book Chapter

      Pages 161-176

      Kinematics of a Point Particle

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      Book Chapter

      Pages 177-196

      Kinematics of Rigid Bodies

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      Book Chapter

      Pages 197-213

      Principles of Dynamics

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      Book Chapter

      Pages 215-246

      Dynamics of a Material Point

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      Book Chapter

      Pages 247-260

      General Principles of Rigid Body Dynamics

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      Book Chapter

      Pages 261-286

      Dynamics of a Rigid Body

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      Book Chapter

      Pages 287-335

      Lagrangian Dynamics

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      Book Chapter

      Pages 337-360

      Hamiltonian Dynamics

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      Book Chapter

      Pages 361-375

      The Hamilton-Jacobi Theory

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      Book Chapter

      Pages 377-402

      Completely Integrable Systems

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