Background
Rudin was born into a Jewish family in Austria in 1921.
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(This classic text is written for graduate courses in func...)
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.
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(In the late 1950s, many of the more refined aspects of Fo...)
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.
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(Principles of Mathematical Analysis, Second Edition (Inte...)
Principles of Mathematical Analysis, Second Edition (International Series in Pure and Applied Mathematics) by Walter Rudin. Series edited by William Ted Martin and E. H. Spanier. 1964 hardcover published by McGraw-Hill Book Company.
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(This is an advanced text for the one- or two-semester cou...)
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. The basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly emphasized. The traditionally separate subjects of 'real analysis' and 'complex analysis' are thus united in one volume. Some of the basic ideas from functional analysis are also included. This is the only book to take this unique approach. The third edition includes a new chapter on differentiation. Proofs of theorems presented in the book are concise and complete and many challenging exercises appear at the end of each chapter. The book is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject. This text is part of the Walter Rudin Student Series in Advanced Mathematics.
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( Function Theory in the Unit Ball of Cn. From the review...)
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
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(Additional Editor Is J. J. Stoker.)
Additional Editor Is J. J. Stoker.
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(SOFT COVER EDITION)
SOFT COVER EDITION
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(The third edition of this well known text continues to pr...)
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. This text is part of the Walter Rudin Student Series in Advanced Mathematics.
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mathematician university professor
Rudin was born into a Jewish family in Austria in 1921.
After the war he left for the United States, and earned his Bachelor of Arts from Duke University in North Carolina in 1947, and two years later earned a Doctor of Philosophy from the same institution.
He is known for three books on mathematical analysis: Principles of Mathematical Analysis, Real and Complex Analysis, and The first (affectionately referred to as "Baby Rudin") was written when Rudin was a Moore instructor at Massachusetts Institute of Technology for his undergraduate analysis course and is widely used as a textbook for undergraduate courses in analysis. They fled to France after the Anschluss in 1938. When France surrendered to Germany in 1940, Rudin fled to England and served in the British navy for the rest of the war.
After that he was a C.L.E. Moore instructor at Massachusetts Institute of Technology, briefly taught in the University of Rochester, before becoming a professor at the University of Wisconsin–Madison.
He remained at the University for 32 years. His research interests ranged from harmonic analysis to complex analysis.
He received an honorary degree from the University of Vienna in 2006. The two resided in Madison, Wisconsin, in the eponymous Walter Rudin House, a home designed by architect Frank Lloyd Wright.
They had four children.
Rudin died on May 20, 2010 after suffering from Parkinson"s disease.
(In the late 1950s, many of the more refined aspects of Fo...)
(This is an advanced text for the one- or two-semester cou...)
(The third edition of this well known text continues to pr...)
(The third edition of this well known text continues to pr...)
(Principles of Mathematical Analysis, Second Edition (Inte...)
(This classic text is written for graduate courses in func...)
( Function Theory in the Unit Ball of Cn. From the review...)
(Additional Editor Is J. J. Stoker.)
(SOFT COVER EDITION)
