Nonlinear Poisson Brackets is popular PDF and ePub book, written by Mikhail Vladimirovich Karasev in 1993, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Nonlinear Poisson Brackets can be Read Online from any device for your convenience.
Nonlinear Poisson Brackets Book PDF Summary
This book deals with two old mathematical problems. The first is the problem of constructing an analog of a Lie group for general nonlinear Poisson brackets. The second is the quantization problem for such brackets in the semiclassical approximation (which is the problem of exact quantization for the simplest classes of brackets). These problems are progressively coming to the fore in the modern theory of differential equations and quantum theory, since the approach based on constructions of algebras and Lie groups seems, in a certain sense, to be exhausted. The authors' main goal is to describe in detail the new objects that appear in the solution of these problems. Many ideas of algebra, modern differential geometry, algebraic topology, and operator theory are synthesized here. The authors prove all statements in detail, thus making the book accessible to graduate students.
Detail Book of Nonlinear Poisson Brackets PDF
- Author : Mikhail Vladimirovich Karasev
- Release : 21 September 1993
- Publisher : American Mathematical Soc.
- ISBN : 0821845969
- Genre : Mathematics
- Total Page : 384 pages
- Language : English
- PDF File Size : 15,9 Mb
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