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Walter Rudin (1921–2010)

Author of Principles of Mathematical Analysis

16 Works 1,516 Members 15 Reviews 2 Favorited

About the Author

Walter Rudin is Emeritus Professor of Mathematics at the University of Wisconsin in Madison, Wisconsin, where he has taught since 1959.
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Works by Walter Rudin

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Common Knowledge

Birthdate
1921-05-02
Date of death
2010-05-20
Gender
male
Education
Duke University, North Carolina (PhD|Mathematics)
Occupations
mathematician
textbook author
autobiographer
Royal Navy officer
Organizations
Massachusetts Institute of Technology
University of Wisconsin–Madison
Awards and honors
Leroy P. Steele Prize (Mathematical Exposition, 1993)
Sloan Fellowship (1958)
Short biography
Walter Rudin was born to a prosperous Jewish family in Vienna, Austria. His parents were Natalie (Adlersberg) and Robert Pollack von Rudin, an electrical engineer and inventor. He also had a younger sister, Vera. Following Nazi Germany's Anschluss (annexation) of Austria, Walter and his sister were sent to school in Switzerland. He attended the Institut auf dem Rosenberg in St. Gallen for six months. After that, his parents arrived, and when they saw they could not stay in the country, managed to obtain visas for France. With the outbreak of World War II in 1939, Walter and his father were sent to the Meslay-du-Maine internment camp. Walter escaped to St. Jean-de-Luz on the Atlantic coast, and from there got a boat to England. There he joined the Pioneer Corps, responsible for light engineering tasks. In 1944, when the Royal Navy needed interpreters, especially native German speakers, Rudin joined up. After the war, he and the rest of his family emigrated to the USA. He earned both his B.A. in 1947 and Ph.D. in 1949 in mathematics from Duke University in North Carolina. He was a C.L.E. Moore instructor at MIT and completed his first book, the now-classic Principles of Mathematical Analysis (1953). He taught at the University of Rochester before becoming a professor at the University of Wisconsin–Madison in 1959. He was later appointed to a Vilas Professorship, which he held until he retired in 1991. That same year, he published his autobiography, The Way I Remember It, and another classic text for graduate courses, Functional Analysis. In 1993, Prof. Rudin was awarded the Leroy P. Steele Prize for Mathematical Exposition from the American Mathematical Society for his skill as a writer. In 1953, he married fellow mathematician Mary Ellen Estill, known for her work in set-theoretic topology, with whom he had four children. They lived in a house designed by Frank Lloyd Wright.
Nationality
USA
Austria (birth)
Birthplace
Vienna, Austria
Places of residence
Vienna, Austria
St. Gallen, Switzerland
Paris, France
Rochester, New York, USA
Cambridge, Massachusetts, USA
Madison, Wisconsin, USA (show all 7)
Durham, North Carolina, USA
Place of death
Madison, Wisconsin, USA
Associated Place (for map)
USA

Members

Reviews

16 reviews
One of a Kind

I normally don't review books that already have this many reviews, especially when I agree so much with the reviews that already exist. But I'm teaching out of green Rudin for the first time this semester, 20 years after getting to know the book well as a student, and I find myself so enthusiastic about it again, that I just had to chime in with an "Amen" to the other positive reviews. When it comes to mathematical writing, it doesn't get any more exquisitely elegant than show more this.

Probably all our reviews are irrelevant, however, because there are probably very few discretionary purchases of this book: There will be nearly a one-to-one correspondence between buyers of the book and students in classes for which it is required. For them, I can only recommend skipping the outrageously expensive hardback (which even at its high price is pretty cheaply constructed nowadays) and opting for the more reasonable international paperback edition.
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Truly excellent book, 338 pages of mathematical TNT.

If I could only keep one of my maths library, this would be it.

That's not to say I'm not going to have a go at rewriting some of his proofs as I think they could be a bit clearer (in particular 5.15 Taylor's Theorem, which also needs correct attribution to James Gregory).

For the benefit of @Floyd3345 below, mine is the International 3rd edition (1976) as per the cover photo at left, if you want to check any text in particular
½
Rudin is exact, specific, and direct. This is a harsh and austere text, but allows for very meditative readings.
The copy of Principles of Mathematical Analysis by Walter Rudin that I own is interesting in one way; it states that it is the Indian Edition. Now I don’t know much about publishing, but the biggest issue for me was whether or not the book was in English since I don’t know any Indian languages. I mean, I suppose the paper making up the book is slightly thinner, and perhaps it uses a different measure of size, but other than that, it didn’t need to say that on the cover.

This show more mathematical book is much like any other mathematical textbook that I own and have read; it starts with the basics and builds upon those basics in a systematic manner. The book contains proofs of theorems and practice problems, making it a very good resource.

I have heard that this book is used as a textbook in classes, but I never had to take a class in Analysis. As I might have mentioned long ago, all of the books that I read are only for my own amusement. However, it would be neat if I also learned something along the way.

The book delivers in being amusing and informative. I suppose it might be less amusing if this were a book I was assigned, but that is beside the point. In being informative, the book contains eleven chapters and covers subjects from the Real and Complex Number Systems to Lebesgue Theory. Finally, the book has a bibliography, an index, and a list of the special symbols used in the book.
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Statistics

Works
16
Members
1,516
Popularity
#16,963
Rating
4.2
Reviews
15
ISBNs
70
Languages
6
Favorited
2

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