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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 107) - Hardcover
Synopsis
Building on min-max methods, Professor Ghoussoub systematically develops a general theory that can be applied in a variety of situations. In so doing he also presents a whole new 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 self-contained.
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Book Description
The calculus of variations is a method for finding stable solutions to optimization problems. To find unstable ones, Morse theory and min-max methods are more appropriate, despite difficulties in applying them universally. Professor Ghoussoub describes a new point of view that may help when dealing with such difficulties. Building upon min-max approach, he systematically develops a general theory and presents a whole new array of duality and perturbation methods. The the book reasonably self-contained. Consequently, it should be accessible to all mathematicians,economists and engineers working in nonlinear analysis or optimization.
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
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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, No. 107)
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Cambridge University Press, 1993
ISBN 10: 0521440254
ISBN 13: 9780521440257
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Hardcover. Condition: Good. No Jacket. 1st Edition. Octavo. Condition: ex-library copy; minor wear; else good. Pages: xviii, 258. Seller Inventory # 305499
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Duality and Perturbation Methods in Critical Point Theory
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Cambridge University Press, 1993
ISBN 10: 0521440254
ISBN 13: 9780521440257
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Duality and Perturbation Methods in Critical Point Theory Cambridge Tracts in Mathematics, Band 107
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gebundene Ausgabe. Condition: Gut. 258 Seiten Schnitt und Einband sind leicht staubschmutzig; der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. ENGLISCH. Sprache: Englisch Gewicht in Gramm: 530. Seller Inventory # 1725220
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Duality and Perturbation Methods in Critical Point Theory.
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ISBN 13: 9780521440257
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23.5 x 15.5 cm, hardcover with dust jacket, xviii, 258 pages, Text in English, dust jacket slightly damaged at edges, very good condition, see picture. Cambridge Tracts in Mathematics, vol. 107. 520g. Seller Inventory # 81307
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Duality and perturbation methods in critical point theory Nassif Ghoussoub. Cambridge tracts in mathematics 107; Cambridge tracts in mathematics and mathematical physics 107.
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Cambridge, Cambridge University Press, 1993
ISBN 10: 0521440254
ISBN 13: 9780521440257
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Hardcover. Condition: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 58 GHO 9780521440257 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2505459
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Duality and perturbation methods in critical point theory Nassif Ghoussoub. Cambridge tracts in mathematics 107; Cambridge tracts in mathematics and mathematical physics 107.
Published by
Cambridge, Cambridge University Press, 1993
ISBN 10: 0521440254
ISBN 13: 9780521440257
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Hardcover. Condition: Gut. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 58 GHO 9780521440257 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2498236
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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 107)
Published by
Cambridge University Press, 1993
ISBN 10: 0521440254
ISBN 13: 9780521440257
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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 107)
Published by
Cambridge University Press, 1993
ISBN 10: 0521440254
ISBN 13: 9780521440257
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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 107)
Published by
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ISBN 10: 0521440254
ISBN 13: 9780521440257
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Duality and Perturbation Methods in Critical Point Theory (Cambridge Tracts in Mathematics, Series Number 107)
Published by
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ISBN 10: 0521440254
ISBN 13: 9780521440257
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