WorldCat Identities

Rudin, Walter 1921-2010

Works: 50 works in 714 publications in 19 languages and 11,495 library holdings
Genres: Biography 
Roles: Author
Classifications: QA300, 515
Publication Timeline
Most widely held works about Walter Rudin
Most widely held works by Walter Rudin
Principles of mathematical analysis by Walter Rudin( Book )

194 editions published between 1953 and 2013 in 16 languages and held by 3,325 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 )

170 editions published between 1960 and 2015 in 10 languages and held by 2,883 WorldCat member libraries worldwide

Presents the basic techniques and theorems of analysis. This work includes a chapter on differentiation. It presents proofs of theorems and many exercises appear at the end of each chapter. It is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject
Functional analysis by Walter Rudin( Book )

100 editions published between 1973 and 2014 in 9 languages and held by 1,576 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 )

66 editions published between 1960 and 2017 in English and Undetermined and held by 884 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 cn by Walter Rudin( Book )

40 editions published between 1980 and 2013 in English and German and held by 536 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 )

25 editions published between 1969 and 1974 in 3 languages and held by 510 WorldCat member libraries worldwide

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

18 editions published between 1971 and 1997 in English and Undetermined and held by 365 WorldCat member libraries worldwide

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

16 editions published between 1985 and 1986 in English and Undetermined and held by 335 WorldCat member libraries worldwide

The way I remember it by Walter Rudin( Book )

12 editions published between 1992 and 1998 in English and German and held by 57 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
Function theory in the unit ball of C by Walter Rudin( Book )

5 editions published in 1980 in English and held by 16 WorldCat member libraries worldwide

Polydisc algebras by Walter Rudin( Book )

4 editions published in 1972 in English and Undetermined and held by 12 WorldCat member libraries worldwide

Prinsip-prinsip analisis matematik by Walter Rudin( Book )

2 editions published in 1989 in Malay and English and held by 11 WorldCat member libraries worldwide

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

2 editions published in 1968 in English and held by 7 WorldCat member libraries worldwide

Teorija funkcij v ediničnom šare iz C n by Walter Rudin( Book )

3 editions published in 1984 in Russian and held by 5 WorldCat member libraries worldwide

Idempotents in group rings by Walter Rudin( Book )

2 editions published in 1963 in English and held by 4 WorldCat member libraries worldwide

The group generated by the support of an idempotent in a group ring is studied, both in the purely algebraic case and in the case of the group ring over a Banach Algebra. Under some conditions, this support group must be finite or even trivial. Under other conditions, there exist idempotents with infinite support or infinite support groups. (Author)
Principios de analise matematica by Walter Rudin( Book )

2 editions published in 1971 in Portuguese and held by 4 WorldCat member libraries worldwide

Analýza v reálném a komplexním oboru : Učebnice pro vys. školy by Walter Rudin( Book )

3 editions published in 1977 in Czech and held by 4 WorldCat member libraries worldwide

Tradičně oddělované disciplíny "reálná analýza" a "komplexní analýza" se v knize amerického matematika prolínají v jediný celek, jež doplňují základní poznatky z topologie a funkcionální analýzy. Studium práce předpokládáznalostzákladů matematické analýzy v rozsahu úvodního kursu matematiky na vysokých školách. Výklad je doplněn příklady, jež umožňují hlouběji pochopit vyloženou látku
A strong converse of the Wiener-Levy theorem by Walter Rudin( Book )

2 editions published in 1961 in English and held by 3 WorldCat member libraries worldwide

The identification problem in econometrics by Walter Rudin( Book )

1 edition published in 1966 in English and held by 3 WorldCat member libraries worldwide

[Uniqueness theory for Laplace series.] by Walter Rudin( Book )

2 editions published between 1949 and 1950 in English and held by 3 WorldCat member libraries worldwide

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Audience level: 0.58 (from 0.53 for Principles ... to 0.94 for Teorija fu ...)

Principles of mathematical analysis
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

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


ルディン, W


Real and complex analysisFunctional analysisFourier analysis on groupsFunction theory in the unit ball of cnThe way I remember it