Items related to Symplectic Geometry: vol 5 (Advanced Studies in Contemporary...
Synopsis
Very attractively produced monograph provides graduate students and researchers with a detailed account of a geometrical structure which derives its interest not least from the fact that it lies at the foundation of modern classical (Hamiltonian) mechanics. Indeed, it is the physical application which serves mainly to structure the exposition. Clear but necessarily rather abstract. Many of the results reported are of recent date, and original to the author and his associates at Moscow State University. Absurdly priced, but of enduring value. (NW) Annotation copyright Book News, Inc. Portland, Or.
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Synopsis
This book reflects the recent growth of interest in the study and application of symplectic geometry. It opens with an elementary section for students which describes the present state of symplectic geometry and topology. Subsequent chapters intended for the more advanced reader contain new results obtained by the author and his students as well as results presented by participants at seminars at Moscow State University. Topics covered include the theory of commutative and noncommutative integration of Hamiltonian systems, the new Morse type theory for the isoenergetic surfaces of integrable Hamiltonian systems and the new topological invariants of such systems. Each section can be read independently of the others, and does not require extensive specialized background knowledge. This book should interest mathematicians specializing in symplectic and Hamiltonian geometry, Lie groups and the theory of differential equations as well as to physicists and engineers concerned with integrable systems.
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- PublisherGordon & Breach Science Publishers Ltd
- Publication date1993
- ISBN 10 2881246575
- ISBN 13 9782881246579
- BindingHardcover
- LanguageEnglish
- Number of pages402
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