A Guide to Advanced Real Analysis - Rilegato

Folland, Gerald B.

Rilegato

ISBN 10: 0883853434 ISBN 13: 9780883853436

Casa editrice: The Mathematical Association of America, 2009

Riassunto

This concise guide to real analysis covers the core material of a graduate level real analysis course. On the abstract level, it covers the theory of measure and integration and the basics of point set topology, functional analysis, and the most important types of function spaces. On the more concrete level, it also deals with the applications of these general theories to analysis on Euclidean space: the Lebesgue integral, Hausdorff measure, convolutions, Fourier series and transforms, and distributions. The relevant definitions and major theorems are stated in detail. Proofs, however, are generally presented only as sketches, in such a way that the key ideas are explained but the technical details are omitted. In this way a large amount of material is presented in a concise and readable form. The prerequisite is a familiarity with classical real-variable theory.

Su questo libro

Descrizione del libro:

This concise guide to real analysis covers the core material of a graduate level real analysis course. It gives an overview of the subject so that essential definitions,major theorems, and key ideas of proofs are included and technical details are not.

L'autore:

Gerald B. Folland was born and raised in Salt Lake City, Utah. He received his bachelor's degree from Harvard University in 1968 and his doctorate from Princeton University in 1971. After two years at the Courant Institute, he moved to the University of Washington, where he is now professor of mathematics. He is the author of ten textbooks and research monographs in the areas of real analysis, harmonic analysis, partial differential equations, and mathematical physics.

Su questa edizione

• Editore: The Mathematical Association of America
• Data di pubblicazione: 2009
• ISBN 10: 0883853434
• ISBN 13: 9780883853436
• Rilegatura: Copertina rigida
• Numero di pagine: 110