Classical Mechanics with Mathematica��
Reviews of the First Edition: ���The volume represents a real contribution to the field, being useful not only to students but to all readers who wish to have correct and well-written information.��� ��� Petre P. Teodorescu, zbMATH, Vol. 1263, 2013 ���By centering his presentation around the major a...
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| Format: | Electronic Book |
| Language: | English |
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Cham :
Springer International Publishing : Imprint: Birkh��user,
2018
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| Edition: | 2nd ed. 2018 |
| Series: | Modeling and simulation in science, engineering & technology
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Table of Contents:
- Part I: Introduction to Linear Algebra and Differential Geometry
- Vector Spaces and Linear Maps
- Tensor Algebra
- Skew-Symmetric Tensors and Exterior Algebra
- Euclidean and Symplectic Vector Spaces
- Duality and Euclidean Tensors
- Differentiable Manifolds
- One-Parameter Groups of Diffeomorphisms
- Exterior Derivative and Integration
- Absolute Differential Calculus
- An Overview of Dynamical Systems
- Part II: Mechanics
- Kinematics of a Point Particle
- Kinematics of Rigid Bodies
- Principles of Dynamics
- Dynamics of a Material Point
- General Principles of Rigid Body Dynamics
- Dynamics of a Rigid Body
- Lagrangian Dynamics
- Hamiltonian Dynamics
- The Hamilton-Jacobi Theory
- Completely Integrable Systems
- Elements of Statistical Mechanics of Equilibrium
- Impulsive Dynamics
- Introduction to Fluid Mechanics
- An Introduction to Celestial Dynamics
- One-Dimensional Continuous Systems
- An Introduction to Special Relativity
- Variational Calculus with Applications
- Appendix A: First-Order PDEs
- Appendix B: Fourier Analysis
- Index