WorldCat Identities

Rudin, Walter 1921-2010

Overview
Works: 70 works in 770 publications in 18 languages and 11,754 library holdings
Genres: Biography 
Roles: Author
Classifications: QA300, 515
Publication Timeline
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Most widely held works about Walter Rudin
 
Most widely held works by Walter Rudin
Principles of mathematical analysis by Walter Rudin( Book )

204 editions published between 1953 and 2018 in 16 languages and held by 3,292 WorldCat member libraries worldwide

The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. -- Publisher description
Real and complex analysis by Walter Rudin( Book )

185 editions published between 1960 and 2015 in 10 languages and held by 2,890 WorldCat member libraries worldwide

This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level
Functional analysis by Walter Rudin( Book )

107 editions published between 1973 and 2014 in 8 languages and held by 1,592 WorldCat member libraries worldwide

This classic text is written for graduate courses in functional analysis. This text is used in modern investigations in analysis and applied mathematics. This new edition includes up-to-date presentations of topics as well as more examples and exercises. New topics include Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and an ergodic theorem. This text is part of the Walter Rudin Student Series in Advanced Mathematics
Fourier analysis on groups by Walter Rudin( Book )

50 editions published between 1960 and 2017 in English and Undetermined and held by 1,058 WorldCat member libraries worldwide

Written by a master mathematical expositor, this classic text reflects the results of the intense period of research and development in the area of Fourier analysis in the decade preceding its first publication in 1962. The enduringly relevant treatment is geared toward advanced undergraduate and graduate students and has served as a fundamental resource for more than five decades. The self-contained text opens with an overview of the basic theorems of Fourier analysis and the structure of locally compact Abelian groups. Subsequent chapters explore idempotent measures, homomorphisms of group algebras, measures and Fourier transforms on thin sets, functions of Fourier transforms, closed ideals in L1(G), Fourier analysis on ordered groups, and closed subalgebras of L1(G). Helpful appendixes contain background information on topology and topological groups, Banach spaces and algebras, and measure theory
Function theory in the unit ball of cn by Walter Rudin( Book )

31 editions published between 1980 and 2013 in 3 languages and held by 693 WorldCat member libraries worldwide

Around 1970, an abrupt change occurred in the study of holomorphic functions of several complex variables. Sheaves vanished into the background, and attention was focused on integral formulas and on the "hard analysis" problems that could be attacked with them: boundary behavior, complex-tangential phenomena, solutions of the S-problem with control over growth and smoothness, quantitative theorems about zero-varieties, and so on. The present book describes some of these developments in the simple setting of the unit ball of C". There are several reasons for choosing the ball for our principal stage. The ball is the prototype of two important classes of regions that have been studied in depth, namely the strictly pseudoconvex domains and the bounded symmetric ones. The presence of the second structure (i.e. the existence of a transitive group of automorphisms) makes it possible to develop the basic machinery with a minimum of fuss and bother. The principal ideas can be presented quite concretely and explicitly in the ball, and one can quickly arrive at specific theorems of obvious interest. Once one has seen these in this simple context, it should be much easier to learn the more complicated machinery (developed largely by Henkin and his co-workers) that extends them to arbitrary strictly pseudoconvex domains. In some parts of the book (for instance, in Chapters 14-16) it would, however, have been unnatural to confine our attention exclusively to the ball, and no significant simplifications would have resulted from such a restriction
Function theory in polydiscs by Walter Rudin( Book )

24 editions published between 1969 and 1974 in 3 languages and held by 517 WorldCat member libraries worldwide

Lectures on the edge-of-the-wedge theorem by Walter Rudin( Book )

22 editions published between 1970 and 1997 in English and Undetermined and held by 401 WorldCat member libraries worldwide

New constructions of functions holomorphic in the unit ball of CN by Walter Rudin( Book )

14 editions published in 1986 in English and held by 340 WorldCat member libraries worldwide

Principes d'analyse mathématique : cours et exercices by Walter Rudin( Book )

3 editions published in 2006 in French and held by 92 WorldCat member libraries worldwide

The way I remember it by Walter Rudin( Book )

17 editions published between 1992 and 2018 in English and German and held by 83 WorldCat member libraries worldwide

Walter Rudin's memoirs should prove to be a delightful read specifically to mathematicians, but also to historians who are interested in learning about his colorful history and ancestry. Characterized by his personal style of elegance, clarity, and brevity, Rudin presents in the first part of the book his early memories about his family history, his boyhood in Vienna throughout the 1920s and 1930s, and his experiences during World War II. Part II offers samples of his work, in which he relates where problems came from, what their solutions led to, and who else was involved. As those who are fa
FOURIER ANALYSIS ON GROUPS by Walter Rudin( Book )

16 editions published between 1962 and 2017 in English and Undetermined and held by 80 WorldCat member libraries worldwide

In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact abelian (LCA) groups. Rudin's book, published in 1962, was the first to give a systematic account of these developments and has come to be regarded as a classic in the field. The basic facts concerning Fourier analysis and the structure of LCA groups are proved in the opening chapters, in order to make the treatment relatively self-contained
Function theory in the unit ball of C [sup] n by Walter Rudin( Book )

10 editions published between 1980 and 2008 in English and Russian and held by 36 WorldCat member libraries worldwide

Function Theory in the Unit Ball of Cn. From the reviews: "…The book is easy on the reader. The prerequisites are minimal—just the standard graduate introduction to real analysis, complex analysis (one variable), and functional analysis. This presentation is unhurried and the author does most of the work. …certainly a valuable reference book, and (even though there are no exercises) could be used as a text in advanced courses." R. Rochberg in Bulletin of the London Mathematical Society. "…an excellent introduction to one of the most active research fields of complex analysis. …As the author emphasizes, the principal ideas can be presented clearly and explicitly in the ball, specific theorems can be quickly proved. …Mathematics lives in the book: main ideas of theorems and proofs, essential features of the subjects, lines of further developments, problems and conjectures are continually underlined. …Numerous examples throw light on the results as well as on the difficulties." C. Andreian Cazacu in Zentralblatt für Mathematik
Function theory in the unit ball of C [to the power of n] by Walter Rudin( Book )

3 editions published in 1980 in English and held by 15 WorldCat member libraries worldwide

Fen xi xue tan yuan by Lu di en( Book )

1 edition published in 1979 in Chinese and held by 14 WorldCat member libraries worldwide

Polydisc algebras by Walter Rudin( Book )

4 editions published in 1972 in English and Undetermined and held by 14 WorldCat member libraries worldwide

Prinsip-prinsip analisis matematik by Walter Rudin( Book )

2 editions published in 1989 in Malay and English and held by 12 WorldCat member libraries worldwide

Function theory in the unit ball of [complex field, superscript n] by Walter Rudin( Book )

2 editions published in 1980 in English and held by 10 WorldCat member libraries worldwide

Fourier series in serveral [sic] variables by J. E Gilbert( Book )

4 editions published between 1968 and 1969 in English and held by 9 WorldCat member libraries worldwide

Function theory in the unit ball of C by Walter Rudin( Book )

2 editions published in 1980 in English and held by 9 WorldCat member libraries worldwide

New constructions of functions holomorphic in the unit ball of Cn by Walter Rudin( Book )

3 editions published in 1986 in English and held by 6 WorldCat member libraries worldwide

 
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Principles of mathematical analysis
Covers
Real and complex analysisFunctional analysisFourier analysis on groupsFunction theory in the unit ball of cnThe way I remember itFOURIER ANALYSIS ON GROUPSFunction theory in the unit ball of C [sup] n
Alternative Names
Rudin, U.

Rudin, U. 1921-2010

Rudin, U. (Uolter), 1921-2010

Rudin, Uolter 1921-2010

Rudin, Uoltŭr 1921-2010

Rudin, W.

Rudin, W. 1921-2010

Rudin, W. (Walter), 1921-2010

Rudin, Walter

Rudin, Walter, 1921-

Walter Rudin American mathematician

Walter Rudin Amerikaans wiskundige

Walter Rudin amerikansk matematikar

Walter Rudin amerikansk matematiker

Walter Rudin matemàtic estatunidenc

Walter Rudin matemático estadounidense

Walter Rudin matematico statunitense

Walter Rudin mathématicien américain

Walter Rudin US-amerikanischer Mathematiker

Рудин У.

Рудин, У 1921-

Рудин, У 1921-2010

Рудин, У. (Уолтер), 1921-

Рудин, У. (Уолтер), 1921-2010

Рудин Уолтер

Рудин, Уолтер 1921-2010

Рудин, Уолтър 1921-2010

والتر رودین ریاضی‌دان آمریکایی

루딘, 월터 1921-2010

월터 루딘

ウォルター・ルーディン

ルディン, W

沃爾特·魯丁

Languages