Geometry of phase spaces
著者
書誌事項
Geometry of phase spaces
Wiley , PWN--Polish Scientific Publishers, c1991
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注記
"A Wiley-Interscience publication" -- t.p
Errata slip inserted
Includes bibliographical references (p. 780-784) and index
内容説明・目次
内容説明
This book is founded on an earlier work under the same title, published in Polish in 1975. In comparison with the Polish original, the present version is considerably extended in both volume and content. It aims at the identification and understanding of the mathematical notions contained implicitly in mechanics and tying them up with physical notions and also with the historical process of the development of mechanics.
目次
- Philosophical preliminaries
- geometry of bilinear forms and affine spaces
- symplectic spaces and symplectic Pfaff problem
- symplectic manifolds
- Newton mechanics, Galilean symmetry and the origin of the Hamilton theory
- basic concepts of the Hamilton dynamics
- constraints on dynamics
- contact spaces
- statistical concepts and the quantum-classical correspondence
- affinely-rigid body and ellipsoidal figures of equilibrium.
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