Ordinary differential equations
著者
書誌事項
Ordinary differential equations
（Universitext）
Springer, 2006, c1992
1st ed., 2nd printing
- タイトル別名
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Obyknovennye differentsial'nye uravneniya
Обыкновенные дифференциальные уравнения
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注記
"Title of the original Russian edition: Obyknovennye differentsial'nye uravneniya, 3rd edition, Publisher Nauka, Moscow 1984. The first printing of this book appeared as V.I. Arnol'd Ordinary differential equations, Springer textbook 1992."--T.p. verso
Includes index
内容説明・目次
内容説明
Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on routine presentation of algorithms.
From the reviews:
"Professor Arnold has expanded his classic book to include new material on exponential growth, predator-prey, the pendulum, impulse response, symmetry groups and group actions, perturbation and bifurcation." --SIAM REVIEW
目次
Basic Concepts.- Basic Theorems.- Linear Systems.- Proofs of the Main Theorems.- Differential Equations on Manifolds.
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