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

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N. Ghoussoub

Cambridge University Press

2008-08-14

280

USD 55.00

Paperback

Cambridge Tracts in Mathematics

9780521071956

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发表于2024-09-21

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

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

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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.

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