Rudin, Walter 19212010
Overview
Works:  52 works in 712 publications in 19 languages and 11,537 library holdings 

Genres:  Biography 
Roles:  Author 
Classifications:  QA300, 515 
Publication Timeline
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Most widely held works about
Walter Rudin
 The way I remember it by Walter Rudin( Book )
 On Rudin's pathological submodules over bidisk by Yueshi Qin( Book )
Most widely held works by
Walter Rudin
Principles of mathematical analysis by
Walter Rudin(
Book
)
191 editions published between 1953 and 2013 in 16 languages and held by 3,323 WorldCat member libraries worldwide
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and firstyear 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
191 editions published between 1953 and 2013 in 16 languages and held by 3,323 WorldCat member libraries worldwide
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and firstyear 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
)
169 editions published between 1960 and 2015 in 10 languages and held by 2,882 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
169 editions published between 1960 and 2015 in 10 languages and held by 2,882 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
)
103 editions published between 1973 and 2014 in 9 languages and held by 1,580 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 uptodate 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
103 editions published between 1973 and 2014 in 9 languages and held by 1,580 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 uptodate 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
)
63 editions published between 1960 and 2017 in English and Undetermined and held by 885 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 selfcontained
63 editions published between 1960 and 2017 in English and Undetermined and held by 885 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 selfcontained
Function theory in the unit ball of cn by
Walter Rudin(
Book
)
38 editions published between 1980 and 2013 in English and German and held by 524 WorldCat member libraries worldwide
Around 1970, an abrupt change occurred in the study of holomorphic functions of several complex variables. Sheaves vanished into the back ground, and attention was focused on integral formulas and on the "hard analysis" problems that could be attacked with them: boundary behavior, complextangential phenomena, solutions of the Jproblem with control over growth and smoothness, quantitative theorems about zerovarieties, and so on. The present book describes some of these developments in the simple setting of the unit ball of en. 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 coworkers) that extends them to arbitrary strictly pseudoconvex domains. In some parts of the book (for instance, in Chapters 1416) 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
38 editions published between 1980 and 2013 in English and German and held by 524 WorldCat member libraries worldwide
Around 1970, an abrupt change occurred in the study of holomorphic functions of several complex variables. Sheaves vanished into the back ground, and attention was focused on integral formulas and on the "hard analysis" problems that could be attacked with them: boundary behavior, complextangential phenomena, solutions of the Jproblem with control over growth and smoothness, quantitative theorems about zerovarieties, and so on. The present book describes some of these developments in the simple setting of the unit ball of en. 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 coworkers) that extends them to arbitrary strictly pseudoconvex domains. In some parts of the book (for instance, in Chapters 1416) 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 515 WorldCat member libraries worldwide
25 editions published between 1969 and 1974 in 3 languages and held by 515 WorldCat member libraries worldwide
Lectures on the edgeofthewedge theorem by
Walter Rudin(
Book
)
18 editions published between 1971 and 1997 in English and Undetermined and held by 369 WorldCat member libraries worldwide
18 editions published between 1971 and 1997 in English and Undetermined and held by 369 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 333 WorldCat member libraries worldwide
16 editions published between 1985 and 1986 in English and Undetermined and held by 333 WorldCat member libraries worldwide
The way I remember it by
Walter Rudin(
Book
)
11 editions published between 1992 and 1998 in English and German and held by 56 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."Jacket
11 editions published between 1992 and 1998 in English and German and held by 56 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."Jacket
Function theory in the unit ball of C [to the power of n] by
Walter Rudin(
Book
)
5 editions published in 1980 in English and Undetermined and held by 23 WorldCat member libraries worldwide
5 editions published in 1980 in English and Undetermined and held by 23 WorldCat member libraries worldwide
Polydisc algebras by
Walter Rudin(
Book
)
4 editions published in 1972 in English and Undetermined and held by 13 WorldCat member libraries worldwide
4 editions published in 1972 in English and Undetermined and held by 13 WorldCat member libraries worldwide
Prinsipprinsip analisis matematik by
Walter Rudin(
Book
)
3 editions published in 1989 in English and Malay and held by 11 WorldCat member libraries worldwide
3 editions published in 1989 in English and Malay 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
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
3 editions published in 1984 in Russian and held by 5 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
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
Principios de analise matematica by
Walter Rudin(
Book
)
2 editions published in 1971 in Portuguese and held by 4 WorldCat member libraries worldwide
2 editions published in 1971 in Portuguese and held by 4 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)
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)
Teorii︠a︡ funktsiĭ v edinichnom share iz CN by
Walter Rudin(
Book
)
2 editions published in 1984 in Russian and held by 3 WorldCat member libraries worldwide
2 editions published in 1984 in Russian and held by 3 WorldCat member libraries worldwide
Fourier analysis on groups by
Walter Rudin(
)
1 edition published in 1967 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1967 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
2 editions published between 1949 and 1950 in English and held by 3 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Conference Board of the Mathematical Sciences Other
 Dhombres, Nicole 1940 ... Other Translator
 Hoffman, François Other Translator
 Herrmann, Norbert Other
 Wiley InterScience (Online service)
 Auliac, Guy
 Dhombres, Jean (1942 ...).
 Paschen, Ina
 Legoprint Trento Printer
 American Mathematical Society
Useful Links
Associated Subjects
Abelian groups Algebra Analytic functions Calculus Convex sets Fourier analysis Fourier series Fourier transformations Functional analysis Functions Functions of complex variables Global analysis (Mathematics) Hardy spaces Harmonic analysis Harmonic functions Hilbert space Holomorphic functions Interpolation Locally compact Abelian groups Mathematical analysis Mathematicians Mathematics Operator theory Rudin, Walter, Spherical harmonics Submodular functions Topological algebras Transformations (Mathematics) Unit ball United States
Alternative Names
Rudin, U.
Rudin, U. 19212010
Rudin, U. (Uolter), 19212010
Rudin, Uolter 19212010
Rudin, Uoltŭr 19212010
Rudin, W.
Rudin, W. 19212010
Rudin, W. (Walter), 19212010
Rudin, Walter
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 USamerikanischer Mathematiker
Рудин, У..
Рудин, У 1921
Рудин, У 19212010
Рудин, У. (Уолтер), 1921
Рудин, У. (Уолтер), 19212010
Рудин, Уолтер
Рудин, Уолтер 19212010
Рудин, Уолтър 19212010
والتر رودین ریاضیدان آمریکایی
루딘, 월터 19212010
월터 루딘
ウォルター・ルーディン
ルディン, W
沃尔特·鲁丁
Languages
English
(445)
Spanish (42)
French (35)
Russian (27)
German (22)
Polish (22)
Italian (15)
Chinese (11)
Czech (5)
Hungarian (3)
Japanese (3)
Portuguese (2)
Bulgarian (2)
Malay (1)
Romanian (1)
Persian (1)
Arabic (1)
Greek, Modern (1)
Hindi (1)
Spanish (42)
French (35)
Russian (27)
German (22)
Polish (22)
Italian (15)
Chinese (11)
Czech (5)
Hungarian (3)
Japanese (3)
Portuguese (2)
Bulgarian (2)
Malay (1)
Romanian (1)
Persian (1)
Arabic (1)
Greek, Modern (1)
Hindi (1)
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