Gaal received his Ph.D. under Frigyes Riesz and Lipót Fejér in 1947, although at the time, graduate study in Hungary did not exist in the formal way it is thought of today. There were no formalities of preliminary exams or qualifying exams, no thesis advisor or tuition. After World War I, Hungary was dismembered and the Austro-Hungarian monarchy ended. Two thirds of Hungary's territory was given to other states, some existing, others created and since vanished. Under these conditions, only few higher education faculty could be appointed and students had to learn only from books or one or two old sick professors. Nevertheless, doctoral students managed to create publishable theses. Gaal's thesis problem had its origin in a letter Paul Erdős wrote to Pál Turán, in which he mentions a prize problem posed by the Netherlands Mathematical Society. Gaal solved it and with Erdős jointly published the solution.
CareerEdit
Gaal later went to Paris, where he was employed by the CNRS (Centre National del la Recherche Scientifique) at the rank of attaché de recherché. His supervisor was Jean Favard with higher supervisor Jacques Hadamard. Gaal met many leading French mathematicians at the CNRS, including Jean Leray and both Élie and Henri Cartan. After emigrating to the United States, he held positions at Yale and Princeton before joining the faculty of the School of Mathematics at the University of Minnesota. Atle Selberg was instrumental in bringing Gaal to the Institute for Advanced Study in Princeton, New Jersey. While in Princeton, Gaal met Albert Einstein, though the two did not work together. It also was in Paris that Gaal had first met Paul Erdős. Seven years later, they wrote two more joint papers. Over the years, Gaal met Erdős on a number of other occasions, including his last visit to Minneapolis on the invitation of Carleton College, who sponsored his visit. Robert Langlands has cited Gaal's influence in his early investigations of zeta functions and Eisenstein series. Gaal's former wife, Lisl Gaal (originally Lisl Novak), is an accomplished mathematician in her own right and is well known for her text Classical Galois Theory.[2] In 2004, Gaal was honored at the Hungarian Academy of Sciences 80th anniversary as one of the "big five" most distinguished Hungarian mathematicians. The other honorees included John Horvath, János Aczél, Ákos Császár and László Fuchs. Gaal gave a talk entitled "When is a Fibonacci sequence periodic?"[3]
BooksEdit
Gaal, Steven A. (1961). Lectures on algebraic and analytic number theory: With special emphasis on the theory of the Zeta functions of number fields and function fields. Jones Letter Service. ASIN B0007FPWF6. (453 pp.)
Gaal, Steven A. (2002). Diophantine Equations and Power Integral Bases: Theory and Algorithms. Springer. ISBN978-0817642716. (208 pp.)
Gaal, Steven A. (23 April 2009). Point Set Topology. ISBN9780486472225.[4]1st edition 1964. Academic Press.[5]
Gaal, Steven A. (6 December 2012). Linear Analysis and Representation Theory. ISBN9783642807411.[6]1st edition 1973. Springer.[7]
ReferencesEdit
^"Steven Gaal: In Memoriam". School of Mathematics, University of Minnesota.
^Gaal, Lisl (1998). Classical Galois theory: with examples. American Mathematical Society. ISBN9780821813751; reprint of 1979 3rd edition{{cite book}}: CS1 maint: postscript (link) (1st edition 1971)
^Tribute to the achievements of five outstanding Hungarian mathematicians Department of Mathematical Sciences of the Hungarian Academy of Sciences
^Cohen, Marion (October 10, 2009). "Review of Point Set Topology by Steven A. Gaal". MAA Reviews, Mathematical Association of America.
^Pettis, B. J. (1965). "Review of Point Set Topology by Steven A. Gaal". Science. 148 (3676): 1456. doi:10.1126/science.148.3676.1456.a. S2CID 239808833.
^Berg, Michael (April 12, 2011). "Review of Linear Analysis and Representation Theory by Steven A. Gaal". MAA Reviews, Mathematical Association of America.
^Moore, Robert T. (1977). "Review of Linear Analysis and Representation Theory by Steven A. Gaal)". SIAM Review. 19 (2): 358–361. doi:10.1137/1019059.
External linksEdit
Erdős, P., and Gál, I. S. (1955). On the law of the iterated logarithm. I. Proc. Konikl. Akad. Wetensch Ser A 58 65–84, a joint paper by Gaal and Erdős. and On the law of the iterated logarithm. II
steven, gaal, this, article, includes, list, general, references, lacks, sufficient, corresponding, inline, citations, please, help, improve, this, article, introducing, more, precise, citations, january, 2010, learn, when, remove, this, template, message, ste. This article includes a list of general references but it lacks sufficient corresponding inline citations Please help to improve this article by introducing more precise citations January 2010 Learn how and when to remove this template message Steven Alexander Gaal February 22 1924 March 17 2016 also known as Istvan Sandor Gal or I S Gal was a Hungarian American mathematician and Professor of Mathematics at the University of Minnesota Minneapolis 1 Steven GaalBorn 1924 02 22 February 22 1924HungaryDied17 March 2016 2016 03 17 aged 92 Scientific careerFieldsMathematicianInstitutionsCentre National del la Recherche ScientifiqueYalePrincetonUniversity of MinnesotaDoctoral advisorF RieszL Fejer Contents 1 Education 2 Career 3 Books 4 References 5 External linksEducation EditGaal received his Ph D under Frigyes Riesz and Lipot Fejer in 1947 although at the time graduate study in Hungary did not exist in the formal way it is thought of today There were no formalities of preliminary exams or qualifying exams no thesis advisor or tuition After World War I Hungary was dismembered and the Austro Hungarian monarchy ended Two thirds of Hungary s territory was given to other states some existing others created and since vanished Under these conditions only few higher education faculty could be appointed and students had to learn only from books or one or two old sick professors Nevertheless doctoral students managed to create publishable theses Gaal s thesis problem had its origin in a letter Paul Erdos wrote to Pal Turan in which he mentions a prize problem posed by the Netherlands Mathematical Society Gaal solved it and with Erdos jointly published the solution Career EditGaal later went to Paris where he was employed by the CNRS Centre National del la Recherche Scientifique at the rank of attache de recherche His supervisor was Jean Favard with higher supervisor Jacques Hadamard Gaal met many leading French mathematicians at the CNRS including Jean Leray and both Elie and Henri Cartan After emigrating to the United States he held positions at Yale and Princeton before joining the faculty of the School of Mathematics at the University of Minnesota Atle Selberg was instrumental in bringing Gaal to the Institute for Advanced Study in Princeton New Jersey While in Princeton Gaal met Albert Einstein though the two did not work together It also was in Paris that Gaal had first met Paul Erdos Seven years later they wrote two more joint papers Over the years Gaal met Erdos on a number of other occasions including his last visit to Minneapolis on the invitation of Carleton College who sponsored his visit Robert Langlands has cited Gaal s influence in his early investigations of zeta functions and Eisenstein series Gaal s former wife Lisl Gaal originally Lisl Novak is an accomplished mathematician in her own right and is well known for her text Classical Galois Theory 2 In 2004 Gaal was honored at the Hungarian Academy of Sciences 80th anniversary as one of the big five most distinguished Hungarian mathematicians The other honorees included John Horvath Janos Aczel Akos Csaszar and Laszlo Fuchs Gaal gave a talk entitled When is a Fibonacci sequence periodic 3 Books EditGaal Steven A 1961 Lectures on algebraic and analytic number theory With special emphasis on the theory of the Zeta functions of number fields and function fields Jones Letter Service ASIN B0007FPWF6 453 pp Gaal Steven A 2002 Diophantine Equations and Power Integral Bases Theory and Algorithms Springer ISBN 978 0817642716 208 pp Gaal Steven A 23 April 2009 Point Set Topology ISBN 9780486472225 4 1st edition 1964 Academic Press 5 Gaal Steven A 6 December 2012 Linear Analysis and Representation Theory ISBN 9783642807411 6 1st edition 1973 Springer 7 References Edit Steven Gaal In Memoriam School of Mathematics University of Minnesota Gaal Lisl 1998 Classical Galois theory with examples American Mathematical Society ISBN 9780821813751 reprint of 1979 3rd edition a href Template Cite book html title Template Cite book cite book a CS1 maint postscript link 1st edition 1971 Tribute to the achievements of five outstanding Hungarian mathematicians Department of Mathematical Sciences of the Hungarian Academy of Sciences Cohen Marion October 10 2009 Review of Point Set Topology by Steven A Gaal MAA Reviews Mathematical Association of America Pettis B J 1965 Review of Point Set Topology by Steven A Gaal Science 148 3676 1456 doi 10 1126 science 148 3676 1456 a S2CID 239808833 Berg Michael April 12 2011 Review of Linear Analysis and Representation Theory by Steven A Gaal MAA Reviews Mathematical Association of America Moore Robert T 1977 Review of Linear Analysis and Representation Theory by Steven A Gaal SIAM Review 19 2 358 361 doi 10 1137 1019059 External links EditErdos P and Gal I S 1955 On the law of the iterated logarithm I Proc Konikl Akad Wetensch Ser A 58 65 84 a joint paper by Gaal and Erdos and On the law of the iterated logarithm II Mathematical Institute Budapest University of Technology and Economics 2004 program Steven Gaal at the Mathematics Genealogy Project Retrieved from https en wikipedia org w index php title Steven Gaal amp oldid 1162298548, wikipedia, wiki, book, books, library,
