ポストモダン解析（第２版）<br>Postmodern Analysis (Universitext) （2nd ed. 2003. XVII, 367 p. 23,5 cm）

ポストモダン解析（第２版）
Postmodern Analysis (Universitext) （2nd ed. 2003. XVII, 367 p. 23,5 cm）

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  • 製本 Paperback:紙装版/ペーパーバック版／ページ数 367 p.
  • 商品コード 9783540438731

基本説明

A very streamlined text on mathematical analysis at the "advanced calculus" level, particularly adapted in the need of those going on to applications in physics.

Description


(Text)
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.
This 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.
(Table of content)
From the contents:
- Preface
- Contents
- Calculus for Functions of One Variable
- Topological Concepts
- Calculus in Euclidean and Banach Spaces
- The Lebesgue Integral
- Lp and Sobolev Spaces
- Introduction to the Calculus of Variations and EllipticPartial Differential Equations