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Modeling and Simulation in Science, Engineering and Technology

2012

Classical Mechanics with Mathematica®

Authors:

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

Table of contents (24 chapters)

Front Matter

Pages i-xiv

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Introduction to Linear Algebra and Differential Geometry
1. Front Matter
  
  Pages 1-1
  
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2. Book Chapter
  
  Pages 3-15
  
  Vector Space and Linear Maps
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3. Book Chapter
  
  Pages 17-28
  
  Tensor Algebra
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4. Book Chapter
  
  Pages 29-40
  
  Skew-Symmetric Tensors and Exterior Algebra
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5. Book Chapter
  
  Pages 41-59
  
  Euclidean and Symplectic Vector Spaces
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6. Book Chapter
  
  Pages 61-65
  
  Duality and Euclidean Tensors
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7. Book Chapter
  
  Pages 67-93
  
  Differentiable Manifolds
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8. Book Chapter
  
  Pages 95-103
  
  One-Parameter Groups of Diffeomorphisms
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9. Book Chapter
  
  Pages 105-115
  
  Exterior Derivative and Integration
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10. Book Chapter
  
  Pages 117-133
  
  Absolute Differential Calculus
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11. Book Chapter
  
  Pages 135-158
  
  An Overview of Dynamical Systems
  - Antonio Romano
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Mechanics
1. Front Matter
  
  Pages 159-159
  
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2. Book Chapter
  
  Pages 161-176
  
  Kinematics of a Point Particle
  - Antonio Romano
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3. Book Chapter
  
  Pages 177-196
  
  Kinematics of Rigid Bodies
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4. Book Chapter
  
  Pages 197-213
  
  Principles of Dynamics
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5. Book Chapter
  
  Pages 215-246
  
  Dynamics of a Material Point
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6. Book Chapter
  
  Pages 247-260
  
  General Principles of Rigid Body Dynamics
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7. Book Chapter
  
  Pages 261-286
  
  Dynamics of a Rigid Body
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8. Book Chapter
  
  Pages 287-335
  
  Lagrangian Dynamics
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9. Book Chapter
  
  Pages 337-360
  
  Hamiltonian Dynamics
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10. Book Chapter
  
  Pages 361-375
  
  The Hamilton-Jacobi Theory
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11. Book Chapter
  
  Pages 377-402
  
  Completely Integrable Systems
  - Antonio Romano
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