Classical Mechanics with Mathematica (R)

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.

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• Geometria diferencial e riemaniana
• Física Matemática
• Mecânica clássica

Classical Mechanics;Analytical Mechanics;Differential Geometry;Point Dynamics;Rigid Body Dynamics;Statistical Mechanics;Newtonian Gravitation;Lagrangian Dynamics;Hamiltonian Dynamics