- Biography
- Selected publications
- Major awards
- See also
- References
- External links
| name = Walter Rudin
| image =
| image_size =
| alt =
| caption =
| birth_date = {{birth date|1921|05|02}}
| birth_place = Vienna, Austria
| death_date = {{Death date and age|2010|05|20|1921|05|02}}
| death_place = Madison, Wisconsin, U.S.
| residence =
| citizenship =
| nationality = American
| fields = Mathematics
| workplaces = Professor Emeritus, University of Wisconsin-Madison
| alma_mater = Duke University (B.A. 1947, Ph.D. 1949)
| doctoral_advisor = John Jay Gergen
| academic_advisors =
| doctoral_students = Charles Dunkl
Daniel Rider
| notable_students =
| known_for = Mathematics textbooks; contributions to harmonic analysis and complex analysis[1]
| author_abbrev_bot =
| author_abbrev_zoo =
| influences =
| influenced =
| awards = American Mathematical Society Leroy P. Steele Prize for Mathematical Exposition (1993)
| signature =
| signature_alt =
| footnotes =
| spouse =
}}Walter Rudin (May 2, 1921 – May 20, 2010)[2] was an Austrian-American mathematician and professor of Mathematics at the University of Wisconsin–Madison.[3]
In addition to his contributions to complex and harmonic analysis, Rudin is known for his mathematical analysis textbooks: Principles of Mathematical Analysis,[4] Real and Complex Analysis,[5] and Functional Analysis[6] (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 C. L. E. Moore Instructor at MIT. Principles, acclaimed for its elegance and clarity,[7] has since become a standard textbook for introductory real analysis courses in the United States.[7] Rudin's analysis textbooks have also been influential in mathematical education worldwide, having been translated into 13 languages, including Russian,[8] Chinese,[9] and Spanish.[10] Furthermore, two complete sets of solutions to exercises in Principles of Mathematical Analysis have been published.[11][12]
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.[2] 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.[13] 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.[1]
Rudin died on May 20, 2010 after suffering from Parkinson's disease.[2]
Selected publications
- Ph.D. thesis
- {{cite thesis|first=Walter |last=Rudin |title=Uniqueness Theory for Laplace Series |publisher=Duke University |year=1950}}[14]
- Selected research articles
- {{cite journal|title=Uniqueness theory for Laplace series|journal=Trans. Amer. Math. Soc.|year=1950|volume=68|issue=2|pages=287–303|mr=0033368|doi=10.1090/s0002-9947-1950-0033368-1}}
- {{cite journal|title=Factorization in the group algebra of the real line|journal=Proc Natl Acad Sci U S A|year=1957|volume=43|issue=4|pages=339–340|pmc=528447|doi=10.1073/pnas.43.4.339|pmid=16578475}}
- {{cite journal|title=Zero-sets in polydiscs|journal=Bull. Amer. Math. Soc.|year=1967|volume=73|issue=4|pages=580–583|mr=210934|doi=10.1090/s0002-9904-1967-11758-0}}
- {{cite journal|title=Holomorphic maps that extend to automorphisms of a ball|journal=Proc. Amer. Math. Soc.|year=1981|volume=81|issue=3|pages=429–432|url=http://www.ams.org/journals/proc/1981-081-03/S0002-9939-1981-0597656-8/S0002-9939-1981-0597656-8.pdf|mr=597656|doi=10.1090/s0002-9939-1981-0597656-8}}
- "Totally real Klein bottles in
{{cite journal|title=(PDF)|journal=Proc. Amer. Math. Soc.|year=1981|volume=82|issue=4|pages=653–654|url=|mr=614897|doi=10.1090/s0002-9939-1981-0614897-1}}
- Books
Textbooks:
- {{Cite book| title = Principles of Mathematical Analysis }}[15][7] (1953; 3rd ed., 1976, 342 pp.)
- {{Cite book| title = Real and Complex Analysis}}[16] (1966; 3rd ed., 1987, 416 pp.)
- {{Cite book| title = Functional Analysis}}[17] (1973; 2nd ed., 1991, 424 pp.)
Monographs:
- {{Cite book| title = Fourier Analysis on Groups}}[18] (1962)
- {{Cite book| title = Function Theory in Polydiscs}} (1969)
- Function Theory in the Unit Ball of ℂn.[19] (1980)
Autobiography:
- {{Cite book| title = The Way I Remember It|last=|first=|publisher=| year = |isbn=|location=|pages=}} (1991)
Major awards
- Steele Prize for Mathematical Exposition (1993)
See also
- Helson–Kahane–Katznelson–Rudin theorem
- Rudin–Shapiro sequence
- Rudin's conjecture
References
1. ^1 {{cite web|url=http://www.math.wisc.edu/oldhome/news/WRudinObit.html|title=Vilas Professor Emeritus Walter Rudin died after a long illness on May 20, 2010}}
2. ^1 2 {{cite news|url=http://host.madison.com/wsj/news/local/education/university/article_b6fa8098-6512-11df-9cbf-001cc4c002e0.html|title=Noted UW-Madison mathematician Rudin dies at 89|newspaper=Wisconsin State Journal|date=May 21, 2010|last=Ziff|first=Deborah|accessdate=May 21, 2010}}
3. ^{{cite journal|title=Remembering Walter Rudin (1921–2010)|journal=Notices of the AMS|year=2013|volume=60|issue=3|pages=295–301|url=http://www.ams.org/notices/201303/rnoti-p295.pdf|doi=10.1090/noti955}}
4. ^{{Cite book|url=https://archive.org/details/PrinciplesOfMathematicalAnalysis|title=Principles of Mathematical Analysis|last=Rudin|first=Walter|publisher=McGraw-Hill|year=1976|isbn=007054235X|edition=3rd|location=New York|pages=|quote=|orig-year=1953|via=}}
5. ^{{Cite book|url=https://archive.org/details/RudinW.RealAndComplexAnalysis3e1987|title=Real and Complex Analysis|last=Rudin|first=Walter|publisher=McGraw-Hill|year=1987|isbn=0070542341|edition=3rd|location=New York|pages=|quote=|orig-year=1966|via=}}
6. ^{{Cite book|url=https://archive.org/details/RudinW.FunctionalAnalysis2e1991|title=Functional Analysis|last=Rudin|first=Walter|publisher=McGraw-Hill|year=1991|isbn=0-07-100944-2|edition=2nd|location=New York|pages=|orig-year=1973}}
7. ^1 {{Cite web|url=http://www.maa.org/press/maa-reviews/principles-of-mathematical-analysis|title=Book Review: Principles of Mathematical Analysis|last=Locascio|first=Andrew|date=13 August 2007|website=|publisher=Mathematical Association of America|access-date=12 October 2016}}
8. ^{{Cite book|url=https://archive.org/details/344.34419762320|title=Principles of Mathematical Analysis (Russian translation of 2nd edition)|last=Rudin|first=Walter|last2=Havin|first2=V. P. (translator)|publisher=Mir Publishers|year=1976|isbn=|location=Moscow|pages=|quote=|via=}}
9. ^{{Cite book|url=https://archive.org/details/RudinW.1979_201704|title=Principles of Mathematical Analysis (simplified Chinese translation)|last=Rudin|first=Walter|last2=Zhao|first2=Cigeng (translator)|last3=Jiang|first3=Duo (translator)|publisher=People's Education Press, China Machine Press (reprint, 2004)|year=1979|isbn=7-111-13417-6|location=Beijing|pages=|quote=|via=}}
10. ^{{Cite book|title=Principles of Mathematical Analysis (Spanish translation)|last=Rudin|first=Walter|last2=Irán Alcerreca Sanchez|first2=Miguel (translator)|publisher=Libros McGraw-Hill|year=1980|isbn=968-6046-82-8|location=México|pages=}}
11. ^{{Cite book|url=https://ia801907.us.archive.org/11/items/CookeR.SolutionsToExercisesInRudinPrinciplesOfMathematicalAnalysis/Cooke%2C%20R.%20Solutions%20to%20Exercises%20in%20Rudin%20Principles%20of%20Mathematical%20Analysis.pdf|title=Solutions Manual to Walter Rudin's Principles of Mathematical Analysis|last=Cooke|first=Roger|publisher=|year=1976|isbn=|location=University of Vermont|pages=}}
12. ^{{cite web|url=https://www.amazon.com/Complete-Solution-Principles-Mathematical-Analysis-ebook/dp/B079V5K3FN/ref=sr_1_1?ie=UTF8&qid=1519466458&sr=8-1&keywords=a+complete+solution+guide+to+principles|title=A Complete Solution Guide to Principles of Mathematical Analysis|last=Yu|first=Kit-Wing|date=2018|website=|archive-url=|archive-date=|dead-url=|access-date=}}
13. ^Rudin, Walter. "Harmonic analysis in polydiscs." Actes Congr. Int. Math., Nice 2 (1970): 489–493.
14. ^{{cite book|url=https://books.google.com/books?id=rLJBVuCPvxIC&pg=PA59|editor=Bilyk, Dmitriy|editor2=De Carli, Laura|editor3=Petukhov, Alexander|editor4=Stokolos, Alexander M.|editor5=Wick, Brett D.|chapter=remarks on Walter Rudin's PhD thesis|title=Recent Advances in Harmonic Analysis and Applications: In Honor of Konstantin Oskolkov|volume=Vol. 25|page=59|publisher=Springer Science & Business Media|year=2012}}
15. ^1 {{Cite journal|last=Munroe|first=M. E.|date=2016-11-06|title=Review: Casper Goffman, Real Functions, and Walter Rudin, Principles of mathematical analysis, and Henry P. Thielman, Theory of functions of real variables|url=http://projecteuclid.org/euclid.bams/1183518286|journal=Bulletin of the American Mathematical Society|language=EN|volume=59|issue=6|pages=572–577|issn=0002-9904|doi=10.1090/s0002-9904-1953-09765-8 }}
16. ^{{cite journal|author=Shapiro, Victor L.|authorlink=Victor L. Shapiro|title=Review: Walter Rudin, Real and complex analysis|journal=Bull. Am. Math. Soc.|volume=74|number=1|year=1968|pages=79–83|url=http://projecteuclid.org/euclid.bams/1183529381|doi=10.1090/s0002-9904-1968-11881-6}}
17. ^{{Cite journal|last=Kadison|first=Richard V.|authorlink=Richard Kadison|date=1973-01-01|title=Review of Functional Analysis|jstor=27844041|journal=American Scientist|volume=61|issue=5|pages=604–604}}
18. ^{{cite journal|author=Kahane, J.-P.|authorlink=Jean-Pierre Kahane|title=Review: Walter Rudin, Fourier analysis on groups|journal=Bull. Am. Math. Soc.|volume=70|number=2|year=1964|pages=230–232|url=http://projecteuclid.org/euclid.bams/1183525932|doi=10.1090/s0002-9904-1964-11092-2}}
19. ^{{Cite journal|last=Krantz|first=Steven G.|authorlink=Steven G. Krantz|date=1981-11-01|title=Review: Walter Rudin, Function theory in the unit ball of $\\mathbf {C}^n$|url=http://projecteuclid.org/euclid.bams/1183548431|journal=Bulletin (New Series) of the American Mathematical Society|language=EN|volume=5|issue=3|pages=331–339|issn=0273-0979|doi=10.1090/s0273-0979-1981-14951-x}}
2. ^1 2 {{cite news|url=http://host.madison.com/wsj/news/local/education/university/article_b6fa8098-6512-11df-9cbf-001cc4c002e0.html|title=Noted UW-Madison mathematician Rudin dies at 89|newspaper=Wisconsin State Journal|date=May 21, 2010|last=Ziff|first=Deborah|accessdate=May 21, 2010}}
3. ^{{cite journal|title=Remembering Walter Rudin (1921–2010)|journal=Notices of the AMS|year=2013|volume=60|issue=3|pages=295–301|url=http://www.ams.org/notices/201303/rnoti-p295.pdf|doi=10.1090/noti955}}
4. ^{{Cite book|url=https://archive.org/details/PrinciplesOfMathematicalAnalysis|title=Principles of Mathematical Analysis|last=Rudin|first=Walter|publisher=McGraw-Hill|year=1976|isbn=007054235X|edition=3rd|location=New York|pages=|quote=|orig-year=1953|via=}}
5. ^{{Cite book|url=https://archive.org/details/RudinW.RealAndComplexAnalysis3e1987|title=Real and Complex Analysis|last=Rudin|first=Walter|publisher=McGraw-Hill|year=1987|isbn=0070542341|edition=3rd|location=New York|pages=|quote=|orig-year=1966|via=}}
6. ^{{Cite book|url=https://archive.org/details/RudinW.FunctionalAnalysis2e1991|title=Functional Analysis|last=Rudin|first=Walter|publisher=McGraw-Hill|year=1991|isbn=0-07-100944-2|edition=2nd|location=New York|pages=|orig-year=1973}}
7. ^1 {{Cite web|url=http://www.maa.org/press/maa-reviews/principles-of-mathematical-analysis|title=Book Review: Principles of Mathematical Analysis|last=Locascio|first=Andrew|date=13 August 2007|website=|publisher=Mathematical Association of America|access-date=12 October 2016}}
8. ^{{Cite book|url=https://archive.org/details/344.34419762320|title=Principles of Mathematical Analysis (Russian translation of 2nd edition)|last=Rudin|first=Walter|last2=Havin|first2=V. P. (translator)|publisher=Mir Publishers|year=1976|isbn=|location=Moscow|pages=|quote=|via=}}
9. ^{{Cite book|url=https://archive.org/details/RudinW.1979_201704|title=Principles of Mathematical Analysis (simplified Chinese translation)|last=Rudin|first=Walter|last2=Zhao|first2=Cigeng (translator)|last3=Jiang|first3=Duo (translator)|publisher=People's Education Press, China Machine Press (reprint, 2004)|year=1979|isbn=7-111-13417-6|location=Beijing|pages=|quote=|via=}}
10. ^{{Cite book|title=Principles of Mathematical Analysis (Spanish translation)|last=Rudin|first=Walter|last2=Irán Alcerreca Sanchez|first2=Miguel (translator)|publisher=Libros McGraw-Hill|year=1980|isbn=968-6046-82-8|location=México|pages=}}
11. ^{{Cite book|url=https://ia801907.us.archive.org/11/items/CookeR.SolutionsToExercisesInRudinPrinciplesOfMathematicalAnalysis/Cooke%2C%20R.%20Solutions%20to%20Exercises%20in%20Rudin%20Principles%20of%20Mathematical%20Analysis.pdf|title=Solutions Manual to Walter Rudin's Principles of Mathematical Analysis|last=Cooke|first=Roger|publisher=|year=1976|isbn=|location=University of Vermont|pages=}}
12. ^{{cite web|url=https://www.amazon.com/Complete-Solution-Principles-Mathematical-Analysis-ebook/dp/B079V5K3FN/ref=sr_1_1?ie=UTF8&qid=1519466458&sr=8-1&keywords=a+complete+solution+guide+to+principles|title=A Complete Solution Guide to Principles of Mathematical Analysis|last=Yu|first=Kit-Wing|date=2018|website=|archive-url=|archive-date=|dead-url=|access-date=}}
13. ^Rudin, Walter. "Harmonic analysis in polydiscs." Actes Congr. Int. Math., Nice 2 (1970): 489–493.
14. ^{{cite book|url=https://books.google.com/books?id=rLJBVuCPvxIC&pg=PA59|editor=Bilyk, Dmitriy|editor2=De Carli, Laura|editor3=Petukhov, Alexander|editor4=Stokolos, Alexander M.|editor5=Wick, Brett D.|chapter=remarks on Walter Rudin's PhD thesis|title=Recent Advances in Harmonic Analysis and Applications: In Honor of Konstantin Oskolkov|volume=Vol. 25|page=59|publisher=Springer Science & Business Media|year=2012}}
15. ^1 {{Cite journal|last=Munroe|first=M. E.|date=2016-11-06|title=Review: Casper Goffman, Real Functions, and Walter Rudin, Principles of mathematical analysis, and Henry P. Thielman, Theory of functions of real variables|url=http://projecteuclid.org/euclid.bams/1183518286|journal=Bulletin of the American Mathematical Society|language=EN|volume=59|issue=6|pages=572–577|issn=0002-9904|doi=10.1090/s0002-9904-1953-09765-8 }}
16. ^{{cite journal|author=Shapiro, Victor L.|authorlink=Victor L. Shapiro|title=Review: Walter Rudin, Real and complex analysis|journal=Bull. Am. Math. Soc.|volume=74|number=1|year=1968|pages=79–83|url=http://projecteuclid.org/euclid.bams/1183529381|doi=10.1090/s0002-9904-1968-11881-6}}
17. ^{{Cite journal|last=Kadison|first=Richard V.|authorlink=Richard Kadison|date=1973-01-01|title=Review of Functional Analysis|jstor=27844041|journal=American Scientist|volume=61|issue=5|pages=604–604}}
18. ^{{cite journal|author=Kahane, J.-P.|authorlink=Jean-Pierre Kahane|title=Review: Walter Rudin, Fourier analysis on groups|journal=Bull. Am. Math. Soc.|volume=70|number=2|year=1964|pages=230–232|url=http://projecteuclid.org/euclid.bams/1183525932|doi=10.1090/s0002-9904-1964-11092-2}}
19. ^{{Cite journal|last=Krantz|first=Steven G.|authorlink=Steven G. Krantz|date=1981-11-01|title=Review: Walter Rudin, Function theory in the unit ball of $\\mathbf {C}^n$|url=http://projecteuclid.org/euclid.bams/1183548431|journal=Bulletin (New Series) of the American Mathematical Society|language=EN|volume=5|issue=3|pages=331–339|issn=0273-0979|doi=10.1090/s0273-0979-1981-14951-x}}
External links
- {{MacTutor Biography|id=Rudin_Walter}}
- UW Mathematics Dept obituary
- MathDL obituary
- {{MathGenealogy|id=8419}}
- Photos of Rudin Residence
- [https://www.youtube.com/watch?v=hBcWRZMP6xs Walter B. Rudin, "Set Theory: An Offspring of Analysis" (1990 Morris Marden Lecture) – YouTube]
12 : 1921 births|2010 deaths|20th-century American mathematicians|21st-century American mathematicians|Deaths from Parkinson's disease|Duke University alumni|Complex analysts|Functional analysts|Mathematical analysts|Operator theorists|University of Wisconsin–Madison faculty|American people of Austrian-Jewish descent
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