Analysis

Walter Rudin

Published by De Gruyter Oldenbourg 2022

Analysis

Walter Rudin
Together with: McGraw Hill

In the series De Gruyter Studium

https://doi.org/10.1515/9783110750430

Overview
Contents

About this book

In its compact but clear style, this textbook is one of the masterpieces of mathematical textbook literature. Walter Rudin utilizes his methodological and pedagogical skill to explain in depth how to analyze one or several variables, rigorously discussing important topics, such as the Riemann–Stieltjes integral, the Lebesgue integral, the gamma function, differential forms, and the Stone-Weierstrass theorem.

Klar, prägnant und einzigartig elegant.

Ideal zur Prüfungsvorbereitung und als Nachschlagewerk.

Author / Editor information

Walter Rudin, University of Wisconsin-Madison, USA.

Reviews

"Die ausgezeichnete Darstellung wird gerne zur Erst- oder Nachbeschaffung empfohlen." ekz- Informationsdienst, März 2006

Topics

Frontmatter Publicly Available Download PDF	I
Vorwort Publicly Available Download PDF	V
Aus dem Vorwort zur 1. amerikanischen Auflage Publicly Available Download PDF	VII
Inhaltsverzeichnis Publicly Available Download PDF	IX
1 Die Systeme der reellen und komplexen Zahlen Requires Authentication Unlicensed Licensed Download PDF	1
2 Einführung in die Topologie Requires Authentication Unlicensed Licensed Download PDF	25
3 Zahlenfolgen und Reihen Requires Authentication Unlicensed Licensed Download PDF	48
4 Stetigkeit Requires Authentication Unlicensed Licensed Download PDF	84
5 Differentiation Requires Authentication Unlicensed Licensed Download PDF	104
6 Das Riemann-Stieltjes-Integral Requires Authentication Unlicensed Licensed Download PDF	122
7 Folgen und Reihen von Funktionen Requires Authentication Unlicensed Licensed Download PDF	146
8 Einige spezielle Funktionen Requires Authentication Unlicensed Licensed Download PDF	176
9 Funktionen mehrerer Variablen Requires Authentication Unlicensed Licensed Download PDF	209
10 Integration von Differentialformen Requires Authentication Unlicensed Licensed Download PDF	252
11 Die Lebesguesche Theorie Requires Authentication Unlicensed Licensed Download PDF	310
Weiterführende Literatur Requires Authentication Unlicensed Licensed Download PDF	345
Liste spezieller Symbole Requires Authentication Unlicensed Licensed Download PDF	347
Sachverzeichnis Requires Authentication Unlicensed Licensed Download PDF	349

(Deutsch)

Language: German
Publisher: De Gruyter Oldenbourg
Edition: 5. Auflage
Audience: Students majoring and minoring in mathematics
Pages
- Front matter: 12
- Main content: 358
Keywords: Differentiability; integration; Stone-Weierstrass theorem; vector analysis; continuity

eBook

Published: January 19, 2022
ISBN: 9783110750430

Paperback

Published: January 31, 2022
ISBN: 9783110750423