Postmodern Analysis Gerhard F. Lutz

ISBN: 9783540438731

Published: December 1st 2002

Paperback

367 pages


Description

Postmodern Analysis  by  Gerhard F. Lutz

Postmodern Analysis by Gerhard F. Lutz
December 1st 2002 | Paperback | PDF, EPUB, FB2, DjVu, audiobook, mp3, RTF | 367 pages | ISBN: 9783540438731 | 4.79 Mb

This is an introduction to advanced analysis at the beginning graduate level that blends a modern presentation with concrete examples and applications, in particular in the areas of calculus of variations and partial differential equations. The bookMoreThis is an introduction to advanced analysis at the beginning graduate level that blends a modern presentation with concrete examples and applications, in particular in the areas of calculus of variations and partial differential equations.

The book does not strive for abstraction for its own sake, but tries rather to impart a working knowledge of the key methods of contemporary analysis, in particular those that are also relevant for application in physics. It provides a streamlined and quick introduction to the fundamental concepts of Banach space and Lebesgue integration theory and the basic notions of the calculus of variations, including Sobolev space theory.The new edition contains additional material on the qualitative behavior of solutions of ordinary differential equations, some further details on Lp and Sobolev functions, partitions of unity and a brief introduction to abstract measure theory.



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