{"title":"Filip Rindler","description":null,"products":[{"product_id":"calculus-of-variations-book-filip-rindler-9783319776361","title":"Calculus of Variations","description":"This textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field.    Starting from ten motivational examples, the book begins with the most important aspects of the classical theory, including the Direct Method, the Euler-Lagrange equation, Lagrange multipliers, Noether’s Theorem and some regularity theory. Based on the efficient Young measure approach, the author then discusses the vectorial theory of integral functionals, including quasiconvexity, polyconvexity, and relaxation. In the second part, more recent material such as rigidity in differential inclusions, microstructure, convex integration, singularities in measures, functionals defined on functions of bounded variation (BV), and Γ-convergence for phase transitions and homogenization are explored.    While predominantly designed as a textbook for lecture courses on the calculus of variations, this book can also serve as the basis for a reading seminar or as a companion for self-study. The reader is assumed to be familiar with basic vector analysis, functional analysis, Sobolev spaces, and measure theory, though most of the preliminaries are also recalled in the appendix.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51064227332369,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51064230084881,"sku":"NIN9783319776361","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52537488245009,"sku":"NLS9783319776361","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3319776363.jpg?v=1750870488"},{"product_id":"calculus-of-variations-book-filip-rindler-9783032244826","title":"Calculus of Variations","description":"This book offers advanced undergraduates, graduate students, and researchers a comprehensive introduction to both the classical and modern Calculus of Variations. It can serve as the main text for a lecture course, the foundation for a reading seminar, or as a companion for independent study. This thoroughly revised second edition features numerous improvements, including the addition of several new topics, an enhanced order of presentation, and expanded references to the literature.   Starting with a string of motivating examples, the first half of the book presents the central elements of the classical theory, including the Direct Method, the Euler–Lagrange equation, Lagrange multipliers, Noether’s theorem, and some regularity theory. Using the efficient framework of Young measures, the text then develops the vectorial theory of integral functionals, covering quasiconvexity, polyconvexity, relaxation, and Γ-convergence. The second half of the book introduces more recent developments, some of which have previously been accessible only in the research literature. Topics treated in detail include rigidity for differential inclusions, microstructure, convex integration, concentrations in measures, linear growth functionals on functions of bounded variation (BV), and generalized Young measures.   The reader is expected to be familiar with vector analysis, functional analysis, basic measure theory, and some Sobolev space theory; essential preliminaries are reviewed in an appendix.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":53488145891601,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":53488146809105,"sku":"NGR9783032244826","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783032244826.jpg?v=1777674221"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-filip-rindler.oembed","provider":"World of Books ","version":"1.0","type":"link"}