Convex Analysis and Variational Problems
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Convex Analysis and Variational Problems by Ivar Ekeland
Book DescriptionNo one working in duality should be without a copy of Convex Analysis and Variational Problems. This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional references.
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Book DetailsISBN: 9780898714500
(228mm x 152mm x 22mm)
Imprint: Society for Industrial & Applied Mathematics,U.S.
Publisher: Society for Industrial & Applied Mathematics,U.S.
Publish Date: 1-Jan-1987
Country of Publication: United States
Books By Author Ivar Ekeland
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Tracing the impact of optimization and the ways in which it has influenced the study of mathematics, biology, economics, and even politics, this title reveals how the idea has driven some of our greatest intellectual breakthroughs.
Applied Nonlinear Analysis, Paperback (December 2006)
This introductory text offers simple presentations of the fundamentals of nonlinear analysis, with direct proofs and clear applications. Topics include smooth/nonsmooth functions, convex/nonconvex variational problems, economics, and mechanics. 1984 edition.
Broken Dice and Other Mathematical Tales of Chance, Paperback (June 1996)
This work extends the author's consideration of the catastrophe theory of the universe begun in "Mathematics and the Unexpected", by drawing on literary sources, particularly the Norse saga of Saint Olaf, and such current topics as chaos theory, information theory and particle physics.
Mathematics and the Unexpected, Paperback (January 1990)» View all books by Ivar Ekeland
In this brief treatise, Ekelund explains some philosophical implications of recent mathematics. He examines randomness, the geometry involved in making predictions, and why general trends are easy to project, but particulars are practically impossible.
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