This course in real analysis begins with the usual measure theory, then brings the reader quickly to a level where a wider than usual range of topics can be appreciated. Topics covered include Lp -spaces, rearrangement inequalities, sharp integral inequalities, distribution theory, Fourier analysis, potential theory, and Sobolev spaces. To illustrate these topics, there is a chapter on the calculus of variations, with examples from mathematical physics, as well as a chapter on eigenvalue problems (new to this edition). For graduate students of mathematics, and for students of the natural sciences and engineering who want to learn tools of real analysis. Assumes a previous course in calculus. Lieb is affiliated with Princeton University. Loss is affiliated with Georgia Institute of Technology. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Condizione: New. Presents the concepts and tools to solve problems of analysis, and shows how to apply these concepts to research in a variety of areas. This work covers the min-max principle, semi-classical approximation, coherent states and Lieb-Thirring inequalities. It also covers Sobolev Inequalities, including the Nash and Log Sobolev inequalities. Series: Graduate Studies in Mathematics. Num Pages: 348 pages. BIC Classification: PBKS. Category: (P) Professional & Vocational. Dimension: 259 x 183 x 28. Weight in Grams: 942. . 2001. 2nd Edition. Hardcover. . . . . Codice articolo V9780821827833
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Hardcover. Condizione: Brand New. 2nd edition. 346 pages. 10.50x7.50x1.00 inches. In Stock. Codice articolo __0821827839
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