ENGLISH

Postmodern Analysis

By Jürgen Jost (auth.)

Book information

Publisher
Springer Berlin Heidelberg
Year
2003
ISBN
978-3-540-43873-1, 978-3-662-05306-5
DOI
10.1007/978-3-662-05306-5
Language
english
Format
PDF
Filesize
17 MB (18226180 bytes)
Series
Universitext
Pages
2nd ed., XVII, 371 p.\364
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Analysis; Partial Differential Equations

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 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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