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1. Classical Mechanics : Theory and Mathematical Modeling
by Emmanuele DiBenedetto
出版情報: Boston : Springer Science+Business Media, LLC, 2011
シリーズ名: Cornerstones ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4648-6
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2. The Theory of the Top Volume III : Perturbations. Astronomical and Geophysical Applications
by Felix Klein, Arnold Sommerfeld
出版情報: Boston : Birkhäuser Boston, 2012
オンライン: http://dx.doi.org/10.1007/978-0-8176-4828-2
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3. The Theory of the Top. Volume 1 : Introduction to the Kinematics and Kinetics of the Top
by Felix Klein, Arnold Sommerfeld
出版情報: Boston : Birkhäuser Boston, 2008
オンライン: http://dx.doi.org/10.1007/978-0-8176-4721-6
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4. Introduction to the Foundations of Applied Mathematics
by Mark H. Holmes
出版情報: New York, NY : Springer-Verlag New York, 2009
シリーズ名: Texts in Applied Mathematics ; 56
オンライン: http://dx.doi.org/10.1007/978-0-387-87765-5
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5.

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5. The Theory of the Top : Volume II. Development of the Theory in the Case of the Heavy Symmetric Top
by Felix Klein, Arnold Sommerfeld
出版情報: Boston : Springer Science+Business Media, LLC, 2010
オンライン: http://dx.doi.org/10.1007/978-0-8176-4827-5
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6. Differentiable Manifolds : A Theoretical Physics Approach
by Gerardo F. Torres del Castillo
出版情報: Boston : Springer Science+Business Media, LLC, 2012
オンライン: http://dx.doi.org/10.1007/978-0-8176-8271-2
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電子ブック
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7. Classical Mechanics with Mathematica®
by Romano Antonio
出版情報: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012
シリーズ名: Modeling and Simulation in Science, Engineering and Technology ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8352-8
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目次情報:
I Introduction to Linear Algebra and Differential Geometry.- 1 Vector Space and Linear Maps.- 2 Tensor Algebra.- 3 Skew-symmetric Tensors and Exterior Algebra.- 4 Euclidean and Symplectic Vector Spaces.- 5 Duality and Euclidean Tensors.- 6 Differentiable Manifolds.- 7 One-Parameter Groups of Diffeomorphisms.- 8 Exterior Derivative and Integration.- 9 Absolute Differential Calculus
10 An Overview of Dynamical Systems.- II Mechanics.- 11 Kinematics of a Point Particle.- 12 Kinematics of Rigid Bodies.- 13 Principles of Dynamics.- 14 Dynamics of a Material Point.- 15 General Principles of Rigid Body Dynamics.- 16 Dynamics of a Rigid Body.- 17 Lagrangian Dynamics.- 18 Hamiltonian Dynamics.- 19 Hamilton-Jacobi Theory.- 20 Completely Integrable Systems.- 21 Elements of Statistical Mechanics of Equilibrium.- 22 Impulsive Dynamics.- 23 Introduction to Fluid Mechanics
A First-Order PDE.- B Fourier’s Series.- References.- Index
I Introduction to Linear Algebra and Differential Geometry.- 1 Vector Space and Linear Maps.- 2 Tensor Algebra.- 3 Skew-symmetric Tensors and Exterior Algebra.- 4 Euclidean and Symplectic Vector Spaces.- 5 Duality and Euclidean Tensors.- 6 Differentiable Manifolds.- 7 One-Parameter Groups of Diffeomorphisms.- 8 Exterior Derivative and Integration.- 9 Absolute Differential Calculus
10 An Overview of Dynamical Systems.- II Mechanics.- 11 Kinematics of a Point Particle.- 12 Kinematics of Rigid Bodies.- 13 Principles of Dynamics.- 14 Dynamics of a Material Point.- 15 General Principles of Rigid Body Dynamics.- 16 Dynamics of a Rigid Body.- 17 Lagrangian Dynamics.- 18 Hamiltonian Dynamics.- 19 Hamilton-Jacobi Theory.- 20 Completely Integrable Systems.- 21 Elements of Statistical Mechanics of Equilibrium.- 22 Impulsive Dynamics.- 23 Introduction to Fluid Mechanics
A First-Order PDE.- B Fourier’s Series.- References.- Index
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8. Mécanique céleste et contrôle des véhicules spatiaux
by Bernard Bonnard, Ludovic Faubourg, Emmanuel Trélat
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2006
シリーズ名: Mathématiques & Applications ; 51
オンライン: http://dx.doi.org/10.1007/3-540-37640-2
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9. Spectral Methods : Evolution to Complex Geometries and Applications to Fluid Dynamics
edited by C.G. Canuto, M. Y. Hussaini, A. Quarteroni, T.A. Zang
出版情報: Berlin Heidelberg : Springer-Verlag GmbH., 2007
シリーズ名: Scientific Computation ;
オンライン: http://dx.doi.org/10.1007/978-3-540-30728-0
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10. Integrable Systems in Celestial Mechanics
by Diarmuid Ó Mathúna
出版情報: Boston : Birkhäuser Boston, 2008
シリーズ名: Progress in Mathematical Physics ; 51
オンライン: http://dx.doi.org/10.1007/978-0-8176-4595-3
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