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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 电子书

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发表于2024-11-13

Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 电子书

Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 电子书

Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 电子书


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出版者:Cambridge University Press
作者:N. Ghoussoub
出品人:
页数:280
译者:
出版时间:2008-08-14
价格:USD 55.00
装帧:Paperback
isbn号码:9780521071956
丛书系列:Cambridge Tracts in Mathematics

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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 电子书 图书描述

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.

Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 电子书
Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 电子书
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