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Gamma-Convergence for Beginners

Gamma-Convergence for Beginners (Hardback)

By Braides, Andrea

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The theory of Gamma-convergence is commonly recognized as an ideal and flexible tool for the description of the asymptotic behaviour of variational problems. Its applications range from the mathematical analysis of composites to the theory of phase transitions, from Image Process...ing to Fracture Mechanics. This text, written by an expert in the field, provides a brief and simple introduction to this subject, based on the treatment of a series of fundamental problems that illustrate the main features and techniques of Gamma-convergence and at the same time provide a stimulating starting point for further studies. The main part is set in a one-dimensional framework that highlights the main issues of Gamma-convergence without the burden of higher-dimensional technicalities. The text deals in sequence with increasingly complex problems, first treating integral functionals, then homogenisation, segmentation problems, phase transitions, free-discontinuity problems and their discrete and continuous approximation, making stimulating connections among those problems and with applications. The final part is devoted to an introduction to higher-dimensional problems, where more technical tools are usually needed, but the main techniques of Gamma-convergence illustrated in the previous section may be applied unchanged. The book and its structure originate from the author's experience in teaching courses on this subject to students at PhD level in all fields of Applied Analysis, and from the interaction with many specialists in Mechanics and Computer Vision, which have helped in making the text addressed also to a non-mathematical audience. The material of the book is almost self-contained, requiring only some basic notion of Measure Theory and Functional Analysis.
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ISBN 9780198507840
Released NZ 1 Oct 2002
Publisher Oxford University Press (S3)
Format Hardback
Series Oxford Lecture Series in Mathematics & Its Applications (part: 22)
Indent title (internationally sourced), allow 8-12 weeks

Full details for this title

ISBN-13 9780198507840
Stock Available
Status Indent title (internationally sourced), allow 8-12 weeks
Publisher Oxford University Press (S3)
Imprint Clarendon Press
Released 1 Oct 2002
Publication Country United Kingdom United Kingdom
Format Hardback
Author(s) By Braides, Andrea
Series Oxford Lecture Series in Mathematics & Its Applications (part: 22)
Category Calculus Of Variations
Applied Mathematics
Computer Vision
Number of Pages 230
Dimensions Width: 157mm
Height: 237mm
Spine: 12mm
Dewey Code 515.24
Weight 467g
Interest Age General Audience
Reading Age General Audience
Library of Congress Convergence, Gamma functions
NBS Text Science & Mathematics: Textbooks & Study Guides
ONIX Text Professional and scholarly