Notes on dynamical systems
著者
書誌事項
Notes on dynamical systems
(Courant lecture notes in mathematics, 12)
Courant Institute of Mathematical Sciences, New York University , American Mathematical Society, c2005
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注記
Includes bibliographical references
内容説明・目次
内容説明
This book is an introduction to the field of dynamical systems, in particular, to the special class of Hamiltonian systems. The authors aimed at keeping the requirements of mathematical techniques minimal but giving detailed proofs and many examples and illustrations from physics and celestial mechanics. After all, the celestial $N$-body problem is the origin of dynamical systems and gave rise in the past to many mathematical developments. Jurgen Moser (1928-1999) was a professor at the Courant Institute, New York, and then at ETH Zurich. He served as president of the International Mathematical Union and received many honors and prizes, among them the Wolf Prize in mathematics. Jurgen Moser is the author of several books, among them ""Stable and Random Motions in Dynamical Systems"". Eduard Zehnder is a professor at ETH Zurich. He is coauthor with Helmut Hofer of the book ""Symplectic Invariants and Hamiltonian Dynamics"".
目次
Transformation theory Periodic orbits Integrable Hamiltonian systems Bibliography.
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