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Classical mechanics with Mathematica

  • 作者: Romano, Antonio, author.
  • 其他作者:
  • 其他題名:
    • Modeling and simulation in science, engineering and technology.
  • 出版: Cham : Springer International Publishing :Imprint: Birkhauser
  • 版本:Second edition.
  • 叢書名: Modeling and simulation in science, engineering and technology,
  • 主題: Mathematica (Computer program language) , Mechanics--Mathematical models. , Mathematics. , Mathematical Physics. , Differential Geometry. , Classical Mechanics. , Mathematical Methods in Physics.
  • ISBN: 9783319775951 (electronic bk.) 、 9783319775944 (paper)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 內容註: 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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  • 系統號: 005430305 | 機讀編目格式
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