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By the following day Jews were being harassed in Vienna, their homes and shops being attacked. Immediately, Walter's parents sent Walter and his sister Vera to Switzerland to continue their schooling. After about six months, Walter's parents managed to get out of Austria and reach Switzerland.

They had to leave without taking any possessions other than the clothes they wore. On reaching Switzerland they hoped that this would become their permanent home but it was not long before they realised that this was not going to be possible. Walter's father had a friend in Paris, an engineer named M Givelet, and he helped arrange work for Robert as well as visas for the whole family.

They moved to France where Robert began working for the Signal Corps but they had to frequently go to the Police to renew their permission to stay. After being moved camps, Walter was given call-up papers for the French Army and sent to Pontivy. However, by this time the Germans had invaded France and soon fighting stopped. The French told Walter that he should run off which he did and managed to reach Saint Jean-de-Luz in the south west of France. This was the only part of the British Army that was open to foreigners.

Rudin spent the war years in England. Towards the end of the war the Royal Navy announced that it needed interpreters, preferably native German speakers. After applying, he underwent tests in London and, on 4 February joined the Royal Navy. In January he was given permission to travel to Avignon were his parents and sister were living.

He returned to England, but the rest of his family were able to emigrate to the United States after the war ended. Walter Rubin was able to join the rest of his family in the United States towards the end of after the war ended. He joined his sister in Durham, North Carolina [ 2 ] He had never gone to college, but he persuaded them that maybe he could be a junior. Rudin was awarded a B. Rudin was awarded his doctorate in for his thesis Uniqueness Theory for Laplace Series.

Rudin attached the following note:- Submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy in the Graduate School of Arts and Sciences of Duke University. The author wishes to acknowledge his indebtedness to Professor J J Gergen, under whose direction the thesis was written. Rudin published two papers directly based on his thesis.

The first part of the thesis was published as Integral representation of continuous functions In other words, the above assumptions imply the absolute continuity of the mass distribution associated with u. Other results from the thesis appeared in a paper with the same title as his thesis. Gergen offered him an Instructorship for - 50 at Duke University teaching 12 hours per week which he accepted. Mary Ellen wrote [ 2 ] :- So we were both fresh young Ph.

We went together I think there were times during that year when I was interested in marrying Walter and there were times when he was interested in marrying me, but it was never at the same time. We were both just starting out in life. He presented the paper Uniqueness theory for Hermite series to the Congress on 1 September. He left Duke University in when he was appointed to a C.

Moore Instructorship at the Massachusetts Institute of Technology. While at M. The book was published in and reviewed by U S Haslam-Jones who wrote:- The author deals with the classical elements of real variable theory: Dedekind real numbers, elementary set-theory, convergence, continuity, differentiation, the Riemann - Stieltjes integral, uniform convergence, functions of several variables, Lebesgue measure and integrals.

The presentation is intended for the undergraduate or immediately post-graduate reader, and is clear and concise: the necessity for restrictive hypotheses in theorems is emphasised by illustrative counter-examples. In general, the spaces considered are Euclidean, but the reader is introduced to more abstract ideas: for example, general metric spaces and measure spaces.

Kenneth May, reviewing the same book, writes [ 10 ] :- This well-written book is an up-to-date, concise treatment of the foundations of classical real analysis real numbers, set theory, limit processes, etc. At the advanced undergraduate or graduate level for which it is intended, it is self-contained. It will serve as a good text for courses at this level and, for those prepared to "dig," it would be a good choice for independent study of the fundamental ideas underlying calculus.

Rudin was applying for positions in the spring of which was not easy since academic jobs were scarce. However, he was interviewed by the University of Maryland and the University of Rochester and appointed as an assistant professor at Rochester taking up the appointment in Rudin had met Mary Ellen Estill on various occasions after leaving Duke University and they decided to get married, which they did in August in Houston where Mary Ellen was living [ 1 ] :- Vera was the bridesmaid and Joe, Ellen's brother, was best man.

We spent a 4 or 5 day honeymoon in Galveston, then came back to Houston, squeezed all our wedding presents into my car, and started on the long trek to Rochester. In a Sloan Fellowship enabled him to spend time at Yale University. While there he was contacted by R H Bing from the University of Wisconsin-Madison who offered him a summer teaching position. Rudin was not interested in the summer position but writes [ 1 ] :- I was taken by surprise, said something like "I don't really want to teach summer school, I have a Sloan Fellowship, I don't need the money, My subconscious obviously didn't want to go back to Rochester.

Rudin was appointed as a professor at the University of Wisconsin-Madison in He was later honoured by being appointed to a Vilas Professorship, the University's most prestigious professorship for scholarly achievement and the advancement of learning. He remained there until he retired in being made Vilas Professor Emeritus at that time. As we have seen, Rudin's early work was on trigonometric series and holomorphic functions of one complex variable.

However, by the late s he was working on harmonic analysis on locally compact Abelian groups. In he published Fourier Analysis on Groups. Stephen E Puckette writes in a review [ 14 ] :- All in all, the author has assembled a first-rate treatise.

American mathematician. Vienna , Austria. Madison, Wisconsin , U. Wisconsin State Journal. Retrieved May 21, Notices of the AMS. Principles of Mathematical Analysis 3rd ed. New York: McGraw-Hill. ISBN X. Real and Complex Analysis 3rd ed. ISBN Functional Analysis 2nd ed. Thielman, Theory of functions of real variables". Bulletin of the American Mathematical Society.

ISSN Mathematical Association of America. Retrieved 12 October Principles of Mathematical Analysis Russian translation of 2nd ed. Moscow: Mir Publishers. Principles of Mathematical Analysis simplified Chinese translation. Principles of Mathematical Analysis Spanish translation. American Scientist. JSTOR New Series. Authority control.

Categories : births deaths 20th-century American mathematicians 21st-century American mathematicians Neurological disease deaths in Wisconsin 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 Massachusetts Institute of Technology School of Science faculty Austrian emigrants to the United States.

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Walter Rudin was an Austrian-American mathematician and professor of Mathematics at the University of Wisconsin–Madison. Walter Rudin (May 2, – May 20, ) was an Austrian-American mathematician and professor of Mathematics at the University of Wisconsin–Madison. RUDIN: Principles of Mathematical Analysis. SHAPIRO: Introduction to Abstract Algebra WALTER RUDIN. Professor of Mathematics Rudin, Walter, date.