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thông tin biểu ghi
ISBN 9789814556583
DDC 515.352
Tác giả CN Dumas, H. Scott
Nhan đề The KAM story : a friendly introduction to the content, history, and significance of classical Kolmogorov-Arnold-Moser theory / H. Scott Dumas
Thông tin xuất bản [Hackensack], New Jersey : World Scientific, 2014
Mô tả vật lý xv, 361 pages. : illustrations ; 24 cm.
Tùng thư History
Tóm tắt This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and scientific-minded readers. Parts of the book should also appeal to less mathematically trained readers with an interest in the history or philosophy of science.The scope of the book is broad: it not only describes KAM theory in some detail, but also presents its historical context (thus showing why it was a "breakthrough"). Also discussed are applications of KAM theory (especially to celestial mechanics and statistical mechanics) and the parts of mathematics and physics in which KAM theory resides (dynamical systems, classical mechanics, and Hamiltonian perturbation theory).Although a number of sources on KAM theory are now available for experts, this book attempts to fill a long-standing gap at a more descriptive level. It stands out very clearly from existing publications on KAM theory because it leads the reader through an accessible account of the theory and places it in its proper context in mathematics, physics, and the history of science
Từ khóa tự do Dynamical systems
Từ khóa tự do Hamiltonian mechanics
Từ khóa tự do KAM theory
Từ khóa tự do Nonlinear and chaotic systems
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100 |aDumas, H. Scott
245 |aThe KAM story : |ba friendly introduction to the content, history, and significance of classical Kolmogorov-Arnold-Moser theory / |cH. Scott Dumas
260 |a[Hackensack], New Jersey : |bWorld Scientific, |c2014
300 |axv, 361 pages. : |billustrations ; |c24 cm.
490 |aHistory
520 |aThis is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and scientific-minded readers. Parts of the book should also appeal to less mathematically trained readers with an interest in the history or philosophy of science.The scope of the book is broad: it not only describes KAM theory in some detail, but also presents its historical context (thus showing why it was a "breakthrough"). Also discussed are applications of KAM theory (especially to celestial mechanics and statistical mechanics) and the parts of mathematics and physics in which KAM theory resides (dynamical systems, classical mechanics, and Hamiltonian perturbation theory).Although a number of sources on KAM theory are now available for experts, this book attempts to fill a long-standing gap at a more descriptive level. It stands out very clearly from existing publications on KAM theory because it leads the reader through an accessible account of the theory and places it in its proper context in mathematics, physics, and the history of science
541 |aTặng
653 |aDynamical systems
653 |aHamiltonian mechanics
653 |aKAM theory
653 |aNonlinear and chaotic systems
852|a300|bQ12_Kho Mượn_02|j(1): 099812
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