Its applications range from the mathematical analysis of composites to the theory of phase transitions, from Image Processing toFracture 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 stimulatingstarting point for further studies.
Oxford Lecture Series in Mathematics and Its Applications - Oxford University Press
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, wheremore technical tools are usually needed, but the main techniques of Gamma-convergence illustrated in the previous section may be applied unchanged.
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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 anon-mathematical audience. Clarendon Press; 22nd ed. Be the first to review this item Amazon Best Sellers Rank: Related Video Shorts 0 Upload your video. Customer reviews There are no customer reviews yet. Share your thoughts with other customers.
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- Gamma-convergence for Beginners - Andrea Braides - Google Книги!
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