Analysis (Graduate Studies in Mathematics, V. 14) - Elliott H. Lieb, Michael Loss, Loss, Michael (1996)
ISBN 0821806327
Subject Mathematical analysis
Publisher Amer Mathematical Society
Publication Date November 1996
Format Hardcover (267 x 191 mm)
Language eng
Description Not simply another book on real analysis, this straightforward, hands-on text provides readers at all levels--from beginning students to practicing analysts--with the basic concepts and standard tools necessary to understand analytical methods and better apply them to research in a variety of areas.

Noted authorities Elliott Lieb and Michael Loss take readers quickly from basic topics to practical applications, incorporating only those results and constructions that work successfully in mathematics and its applications, while omitting typical textbook topics usually included for historical reasons or to achieve (sometimes unneeded) generality. Analysis includes all necessary definitions, proofs, explanations, examples, and exercises to bring the reader to a new level of understanding with a minimum of fuss, while at the same time doing so in a rigorous and pedagogical way.

The authors take great care to include topics that any working analyst uses in everyday practice. Unlike other books on the topic, Analysis does not try to laboriously develop subjects from basic principles to full generality. Instead, the book immediately starts working with a subject and shows its relation to other mathematical concepts, illustrating how the corresponding notions work, how to apply them in practice, and more.

The book covers measure and integration, theory of $L^p$ spaces, distribution theory, Fourier analysis, potential theory, and Sobolev spaces. Certain less standard topics (such as rearrangement, integral, and Sobolev inequalities) are included to give the reader a flavor of research in analysis and to emphasize the open, active nature of this area. To illustrate the use of mathematics developed in the book, the concluding chapter contains three examples of solving problems from the calculus of variations.

Analysis is a unique, practical book that everyone--from the graduate student, to the professional mathematician, to the physicist or engineer using analytical methods--will find interesting, stimulating, and useful.

Personal Details
Collection Status In Collection
Index 1630
Read It Yes
Links Amazon US
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Product Details
LoC Classification QA300 .L54 1997
Dewey 515
Cover Price $19.00
No. of Pages 300