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Variational Analysis (Grundlehren der mathematischen Wissenschaften) [Hardcover]

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Item description for Variational Analysis (Grundlehren der mathematischen Wissenschaften) by R. Tyrrell Rockafellar & Roger J. B. Wets...

From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions' and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, maximal monotone mappings, second-order subderivatives, measurable selections and normal integrands.

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Item Specifications...

Pages   733
Est. Packaging Dimensions:   Length: 1.5" Width: 6.75" Height: 9.75"
Weight:   2.4 lbs.
Binding  Hardcover
Release Date   Aug 22, 2005
Publisher   Springer
ISBN  3540627723  
ISBN13  9783540627722  

Availability  0 units.

More About R. Tyrrell Rockafellar & Roger J. B. Wets

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1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Calculus
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > General
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > Linear Programming
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Calculus
6Books > Subjects > Science > General
7Books > Subjects > Science > Mathematics > Applied > General
8Books > Subjects > Science > Mathematics > Applied > Linear Programming
9Books > Subjects > Science > Mathematics > General
10Books > Subjects > Science > Mathematics > Mathematical Analysis
11Books > Subjects > Science > Mathematics > Pure Mathematics > Calculus

Reviews - What do customers think about Variational Analysis (Grundlehren der mathematischen Wissenschaften)?

An instant classic in variational analysis and optimization  Jul 26, 2000

A winner of the prestigious Lanchester prize in 1997 (the very year it was published), this book is an instant classic. Written by two eminent researchers in the field, it is a handy reference on convex analysis, duality, optimality conditions, set-valued mappings, epigraphical convergence and variational problems.

Resulting analysis is applicable to a wide variety of problems in mathematical optimization, operations research, management science, economics and engineering. New and unpublished structural results have been derived in this book and presented in the light of new developments in this area. To give an example, "Variational Analysis" advances some of the results in the princeton classic "Convex Analysis" (an almost necessary read for any researcher in mathematical optimization) also written by the first author of this book. To my knowledge, there is no other book at this time which compiles all the results in this area under one hood.

The book follows a theorem-proof format for most part. Thus, it serves more as a reference than a textbook. A complete reading would be daunting given the length and density of material in the text.

This book is worth buying if you are a researcher in mathematical optimization. To quote the citation of the Lanchester award:

"In all, this book should serve as a landmark in the technical progress of optimization, an essential technical tool of operations research and the management sciences."


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