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Books Books 1 - 10 of about 45 related to Mathematical Methods of Classical Mechanics.   

Dynamical Systems IV: Symplectic Geometry and its Applications

S.P. Novikov - Mathematics - 2013 - 286 pages
This book takes a snapshot of the mathematical foundations of classical and quantum mechanics from a contemporary mathematical viewpoint. It covers a number of important recent ...
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Dynamical Systems VII: Integrable Systems Nonholonomic Dynamical Systems

V.I. Arnol'd, S.P. Novikov - Mathematics - 1993 - 344 pages
A collection of five surveys on dynamical systems, indispensable for graduate students and researchers in mathematics and theoretical physics. Written in the modern language of ...
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Dynamical Systems VIII: Singularity Theory II. Applications

V.I. Arnol'd - Mathematics - 2013 - 238 pages
This book is devoted to applications of singularity theory in mathematics and physics, covering a broad spectrum of topics and problems. "The book contains a huge amount of ...
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Dynamical Systems III

Vladimir I. Arnol'd - Science - 2013 - 294 pages
This work describes the fundamental principles, problems, and methods of elassical mechanics focussing on its mathematical aspects. The authors have striven to give an ...
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Catastrophe Theory

Vladimir I. Arnol'd - Mathematics - 2003 - 150 pages
The new edition of this non-mathematical review of catastrophe theory contains updated results and many new or expanded topics including delayed loss of stability, shock waves ...
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Ordinary Differential Equations

Vladimir I. Arnold - Mathematics - 1992 - 338 pages
Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and ...
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Dynamical Systems X: General Theory of Vortices

Victor V. Kozlov - Science - 2013 - 184 pages
This book contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. In addition, it details some ...
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Symmetries, Topology and Resonances in Hamiltonian Mechanics

Valerij V. Kozlov - Mathematics - 2012 - 378 pages
John Hornstein has written about the author's theorem on nonintegrability of geodesic flows on closed surfaces of genus greater than one: "Here is an example of how ...
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