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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 107) - Softcover
Synopsis
Describes a approach to critical point theory and presents a whole new array of duality and perturbation methods.
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Review
"The excellent material presentation of this small book follows the tradition of the series." Jean Mawhin, SIAM Review
"...I recommend Ghoussoub's book to anyone working on variational problems, in particular on LS-theory. The reader will find a systematic presentation and detailed exposition of useful techniques." T. Bartsch, Bulletin of the American Mathematical Society
"...Each chapter ends with some historical notes and comments, which offer a very useful guide through the literature on the subjects mentioned." Maria Letizia Bertotti, Mathematical Reviews
Book Description
Professor Ghoussoub describes a general approach to critical point theory. Building upon min-max methods, he also presents a whole array of duality and perturbation methods. The book is reasonably self-contained: consequently, it should be accessible to all mathematicians, economists and engineers working in nonlinear analysis or optimization.
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Duality and perturbation methods in critical point theory
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ISBN 10: 052107195X
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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 107)
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Duality and Perturbation Methods in Critical Point Theory
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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 107)
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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 107)
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Duality and perturbation methods in critical point theory
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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 107)
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Condition: New. Describes a approach to critical point theory and presents a whole new array of duality and perturbation methods. Series: Cambridge Tracts in Mathematics. Num Pages: 280 pages, charts. BIC Classification: PBK; PBPH. Category: (P) Professional & Vocational. Dimension: 229 x 152 x 16. Weight in Grams: 420. . 2009. Reissue. paperback. . . . . Seller Inventory # V9780521071956
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Duality and Perturbation Methods in Critical Point Theory
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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 107)
Published by
Cambridge University Press, 2008
ISBN 10: 052107195X
ISBN 13: 9780521071956
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Softcover
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Condition: New. Describes a approach to critical point theory and presents a whole new array of duality and perturbation methods. Series: Cambridge Tracts in Mathematics. Num Pages: 280 pages, charts. BIC Classification: PBK; PBPH. Category: (P) Professional & Vocational. Dimension: 229 x 152 x 16. Weight in Grams: 420. . 2009. Reissue. paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780521071956
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Duality and Perturbation Methods in Critical Point Theory (Paperback)
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ISBN 10: 052107195X
ISBN 13: 9780521071956
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Paperback. Condition: new. Paperback. 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. Professor Ghoussoub describes a general approach to critical point theory. Building upon min-max methods, he also presents a whole array of duality and perturbation methods. The book is reasonably self-contained: consequently, it should be accessible to all mathematicians, economists and engineers working in nonlinear analysis or optimization. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521071956
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