ENGLISH

Postmodern Analysis

By Irina N. Melnikova , Alexander V. Vasilyev

Book information

Publisher
Springer
Year
2005
ISBN
9783540214526, 3540214526
LCC
QC911.8 .M45 2005
Open Library ID
OL3313908M
Language
english
Format
PDF
Filesize
3 MB (2991937 bytes)
Series
Universitext
Edition
3rd
Pages
355\355
Time added
2010-02-18 13:16:04

Description

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 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 third edition contains new material on further important tool in analysis, namely cover theorems. Useful references for such results and further properties of various classes of weakly differential functions are added. And finally, misprints and minor inconsistencies have been corrected.

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