Modern Methods in the Calculus of Variations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Modern Methods in the Calculus of Variations

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Fonseca, I. 作者
Springer Verlag
譯者
2007-9 出版日期
620 頁數
$ 84.69 價格
HRD
叢書系列
9780387357843 圖書編碼

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Modern Methods in the Calculus of Variations 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Modern Methods in the Calculus of Variations 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Modern Methods in the Calculus of Variations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Modern Methods in the Calculus of Variations 在線電子書 著者簡介


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Modern Methods in the Calculus of Variations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Modern Methods in the Calculus of Variations 在線電子書 圖書描述

This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and present in a unified way classical results, and to provide novel contributions at the forefront of the theory. This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L^p spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces. This book is self-contained. All the statements are fully justified and proved, with the exception of basic results in measure theory, which may be found in any good textbook on the subject. It also contains several exercises. Therefore,it may be used both as a graduate textbook as well as a reference text for researchers in the field. Irene Fonseca is the Mellon College of Science Professor of Mathematics and is currently the Director of the Center for Nonlinear Analysis in the Department of Mathematical Sciences at Carnegie Mellon University. Her research interests lie in the areas of continuum mechanics, calculus of variations, geometric measure theory and partial differential equations. Giovanni Leoni is also a professor in the Department of Mathematical Sciences at Carnegie Mellon University. He focuses his research on calculus of variations, partial differential equations and geometric measure theory with special emphasis on applications to problems in continuum mechanics and in materials science.

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