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Walter Rudin
American mathematician

Walter Rudin

The basics

Quick Facts

Intro
American mathematician
Gender
Male
Place of birth
Vienna, Austria
Place of death
Madison, USA
Age
89 years
Family
Education
Duke University
Awards
doctor honoris causa
 
Steele Prize for Mathematical Exposition
(1993)
The details (from wikipedia)

Biography

Walter Rudin (May 2, 1921 – May 20, 2010) was an Austrian-American mathematician and professor of Mathematics at the University of Wisconsin–Madison.

In addition to his contributions to complex and harmonic analysis, Rudin is known for his mathematical analysis textbooks: Principles of Mathematical Analysis, Real and Complex Analysis, and Functional Analysis (informally referred to by students as "Baby Rudin", "Papa Rudin", and "Grandpa Rudin", respectively). Rudin wrote Principles of Mathematical Analysis only two years after obtaining his Ph.D. from Duke University while he was a C. L. E. Moore Instructor at MIT.Principles, acclaimed for its elegance and clarity, has since become a standard textbook for introductory real analysis courses in the United States.

Rudin's analysis textbooks have also been influential in mathematical education worldwide, having been translated into 13 languages, including Russian, Chinese, and Spanish.

Biography

Rudin was born into a Jewish family in Austria in 1921. They fled to France after the Anschluss in 1938. When France surrendered to Germany in 1940, Rudin fled to England and served in the Royal Navy for the rest of World War II. After the war he left for the United States, and earned his B.A. from Duke University in North Carolina in 1947, and two years later earned a Ph.D. from the same institution. After that he was a C.L.E. Moore instructor at MIT, 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.

In 1970 Rudin was an Invited Speaker at the International Congress of Mathematicians in Nice. He was awarded the Leroy P. Steele Prize for Mathematical Exposition in 1993 for authorship of the now classic analysis texts, Principles of Mathematical Analysis and Real and Complex Analysis.He received an honorary degree from the University of Vienna in 2006.

In 1953, he married fellow mathematician Mary Ellen Estill, known for her work in set-theoretic topology. 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.

Selected publications

Ph.D. thesis
  • Rudin, Walter (1950). Uniqueness Theory for Laplace Series (Thesis). Duke University.
Selected research articles
Books

Textbooks:

  • Principles of Mathematical Analysis. (1953; 3rd ed., 1976, 342 pp.)
  • Real and Complex Analysis. (1966; 3rd ed., 1987, 416 pp.)
  • Functional Analysis. (1973; 2nd ed., 1991, 424 pp.)

Monographs:

  • Fourier Analysis on Groups. (1962)
  • Function Theory in Polydiscs. (1969)
  • Function Theory in the Unit Ball of. (1980)

Autobiography:

  • The Way I Remember It. (1991)

Major awards

  • Steele Prize for Mathematical Exposition (1993)
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Frequently Asked Questions
FAQ
Who was Walter Rudin?
Walter Rudin was an American mathematician and professor of Mathematics at the University of Wisconsin–Madison known for his contributions to mathematical analysis and Rudin's theorem.
What is Rudin's theorem?
Rudin's theorem, also known as the Vitali–Hahn–Saks theorem, is a mathematical result in measure theory that characterizes absolute continuity.
Where did Walter Rudin work?
Walter Rudin worked as a professor of Mathematics at the University of Wisconsin–Madison.
What is Walter Rudin famous for?
Walter Rudin is best known for his contributions to mathematical analysis, particularly in the areas of functional analysis and complex analysis. He has authored several influential textbooks in these areas, such as "Principles of Mathematical Analysis" and "Real and Complex Analysis".
What is "Principles of Mathematical Analysis"?
"Principles of Mathematical Analysis" is a widely used textbook written by Walter Rudin. It provides an introduction to real analysis, covering topics such as sequences, series, limits, continuity, differentiation, and integration. The book is known for its rigorous approach and clear exposition, making it a valuable resource for students and researchers in mathematics.
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