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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics)
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简体网页||繁体网页
N. Ghoussoub 作者
Cambridge University Press
译者
2008-08-14 出版日期
280 页数
USD 55.00 价格
Paperback
Cambridge Tracts in Mathematics 丛书系列
9780521071956 图书编码

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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025


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The calculus of variations has been an active area of mathematics for over 300 years. Its main use is to find stable critical points of functions for the solution of problems. To find unstable values, new approaches (Morse theory and min-max methods) were developed, and these are still being refined to overcome difficulties when applied to the theory of partial differential equations. Here, Professor Ghoussoub describes a point of view that may help when dealing with such problems. Building upon min-max methods, he systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole array of duality and perturbation methods. The prerequisites for following this book are relatively few; an appendix sketching certain methods in analysis makes the book reasonably self-contained. Consequently, it should be accessible to all mathematicians, pure or applied, economists and engineers working in nonlinear analysis or optimization.

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