Articles liés à G-convergence for Beginners
Synopsis
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 Processing 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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Prof. Andrea Braides
Address
Via Balilla 22, 00185 Roma, ITALY
Tel
(+39)0670452392 (home) (+39)0672594688 (office)
Fax
(+39)0672594699
Email
braides@mat.uniroma2.it
Italian, Udine (Italy), April 12,1961
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Gamma-Convergence for Beginners (Volume 22)
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Oxford University Press, 2005
ISBN 10 : 0198507844
ISBN 13 : 9780198507840
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Etat : Good. Volume 22. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:9780198507840. N° de réf. du vendeur 5587369
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Gamma-convergence for Beginners (Oxford Lecture Series in Mathematics and Its Applications, 22)
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Clarendon Press (edition 1), 2002
ISBN 10 : 0198507844
ISBN 13 : 9780198507840
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G-convergence for Beginners
Edité par
Clarendon Press, 2002
ISBN 10 : 0198507844
ISBN 13 : 9780198507840
Ancien ou d'occasion
Couverture rigide
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Gamma-Convergence for Beginners (Hardcover)
Edité par
Oxford University Press, Oxford, 2002
ISBN 10 : 0198507844
ISBN 13 : 9780198507840
Neuf
Couverture rigide
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Hardcover. Etat : new. Hardcover. 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 Processing 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 problemsthat 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 frameworkthat 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-dimensionalproblems, 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 itsstructure 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. This is a handbook of Gamma-convergence, which is a theoretical tool used to study problems in Applied Mathematics where varying parameters are present, with many applications that range from Mechanics to Computer Vision. The book is directed to Applied Mathematicians in all fields and to Engineers with a theoretical background. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9780198507840
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Gamma-convergence for Beginners (Oxford Lecture Series in Mathematics and Its Applications, 22)
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Gamma-Convergence for Beginners
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G-convergence for Beginners
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Gamma-Convergence for Beginners
Edité par
Oxford University Press, 2002
ISBN 10 : 0198507844
ISBN 13 : 9780198507840
Neuf
Couverture rigide
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