Rudin, Walter 19212010
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
 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
)
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 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
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 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
)
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 twosemester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level
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 twosemester 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 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
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 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
)
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 selfcontained 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
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 selfcontained 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, complextangential phenomena, solutions of the Sproblem 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 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 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
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, complextangential phenomena, solutions of the Sproblem 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 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 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
)
24 editions published between 1969 and 1974 in 3 languages and held by 517 WorldCat member libraries worldwide
24 editions published between 1969 and 1974 in 3 languages and held by 517 WorldCat member libraries worldwide
Lectures on the edgeofthewedge theorem by
Walter Rudin(
Book
)
22 editions published between 1970 and 1997 in English and Undetermined and held by 401 WorldCat member libraries worldwide
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
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
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
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 selfcontained
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 selfcontained
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
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
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
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
4 editions published in 1972 in English and Undetermined and held by 14 WorldCat member libraries worldwide
Prinsipprinsip analisis matematik by
Walter Rudin(
Book
)
2 editions published in 1989 in Malay and English and held by 12 WorldCat member libraries worldwide
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
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
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
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
3 editions published in 1986 in English and held by 6 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Conference Board of the Mathematical Sciences Other
 Wiley InterScience (Online service)
 Dhombres, Nicole 1940 ... Other Translator
 Hoffman, François Other Translator
 Herrmann, Norbert Other
 Auliac, Guy
 Paschen, Ina
 Casal Piga, A. Translator
 Legoprint Trento Printer
 CBMS regional conference (1985 : Michigan State University)
Useful Links
Associated Subjects
Abelian groups Analytic functions Calculus Fourier analysis Fourier series Fourier transformations Functional analysis Functions Functions of complex variables Functions of several complex variables Global analysis (Mathematics) Hardy spaces Harmonic analysis Hilbert space Holomorphic functions Interpolation Locally compact Abelian groups Mathematical analysis Mathematicians Mathematics Operator theory Rudin, Walter, Submodular functions Topological algebras Unit ball United States
Covers
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
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 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
沃爾特·魯丁
Languages