经典力学的数学方法在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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V.I.Arnold 作者

世界图书出版公司

K. Vogtmann 译者

1999-11 出版日期

518 页数

87.00元价格

简裝本

Graduate Texts in Mathematics 丛书系列

9787506200905 图书编码

经典力学的数学方法在线电子书图书标签: 数学物理数学物理经典力学 Mathematics GTM Physics 自然科学

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经典力学的数学方法在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

经典力学的数学方法在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

经典力学的数学方法在线电子书用户评价

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必须要看看，高量不给力……

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GTM060, 可以算是最优秀的理论力学书, 和朗道可相提并论. Arnold真乃神人也

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第二遍学理论力学，看的是这本，用几何的观点处理哈密顿力学让人耳目一新，对原来似乎仅仅是数学变换技巧得出来的方程第一次有了新的认知。

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60 运动的真实位置构成构型空间，是流形。拉格朗日量是切丛上的函数，拉格朗日力学是微分几何。相空间是构型空间的余切丛，是辛流形。哈密顿力学是辛几何教材，除了附录

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纪念…

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经典力学的数学方法在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

经典力学的数学方法在线电子书图书描述

Part of Preface to the second edition

The main part of this book was written twenty years ago. The ideas and methods of symplectic geometry, developed in this book, have now found many applications in mathematical physics and in other domains of applied mathematics, as well as in pure mathematics itself. Especially, the theory of short wave asymptotic expansions has reached a very sophiscated level, with many important applications to optics, wave theory, acoustics, spectroscopy, and even chemistry; this development was parallel to the development of the theories of Lagrange and Legendre singularities, that is, of singularities of caustics and of wave fronts, of their topology and their perestroikas (in Russian metamorphoses were always called "perestroikas," as in "Morse perestroika" for the English "Morse surgery"; now that the word perestroika has become international, we may preserve the Russian term in translation and are not obliged to substitute "metamorphoses" for "perestroikas" when speaking of wave fronts, caustics, and so on.

经典力学的数学方法在线电子书下载 mobi epub pdf txt 在线电子书下载

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