Duality and perturbation methods in critical point theory Nassif Ghoussoub. Cambridge tracts in mathematics 107; Cambridge tracts in mathematics and mathematical physics 107.

Ghoussoub, Nassif:

ISBN 10: 0521440254 / ISBN 13: 9780521440257

Published by Cambridge, Cambridge University Press, 1993

About this Item

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

Bibliographic Details

• Title: Duality and perturbation methods in critical point theory Nassif Ghoussoub. Cambridge tracts in mathematics 107; Cambridge tracts in mathematics and mathematical physics 107.
• Publisher: Cambridge, Cambridge University Press
• Publication Date: 1993
• Language: English
• ISBN 10: 0521440254
• ISBN 13: 9780521440257
• Binding: Hardcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

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.

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.