21. Birkhoff Biography of george birkhoff (18841944) george birkhoff s parents were Davidbirkhoff, who was a medical doctor, and Jane Gertrude Droppers. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Birkhoff.html

George David Birkhoff Born: 21 March 1884 in Overisel, Michigan, USA Died: 12 Nov 1944 in Cambridge, Massachusetts, USA Click the picture above to see four larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing George Birkhoff 's parents were David Birkhoff, who was a medical doctor, and Jane Gertrude Droppers. George was educated in Chicago where he was a student at the Lewis Institute from 1896 to 1902. In 1901 he began a correspondence with Harry Vandiver on a problem in number theory. Together they studied the prime factors of a n b n and later wrote up their work for publication. Graduating from the Lewis Institute in 1902, Birkhoff began his university education. He entered the University of Chicago in 1902, spending a year there, then moved to Harvard University where he studied from 1903 to 1905. While at Harvard he submitted the results he had obtained with Vandiver to the Annals of Mathematics in 1904 and this joint number theory paper became his first publication. Also in 1904 he submitted a paper on analysis to the American Mathematical Society . During these two years at Harvard the teacher who influenced him most was who taught him algebra and classical analysis. Birkhoff was awarded his A.B. by Harvard in 1905 and his A.M. in 1906.

22. References For Birkhoff References for the biography of george birkhoff. Collected Mathematical Worksof george David birkhoff (Providence RI, 1950). http://www-groups.dcs.st-and.ac.uk/~history/References/Birkhoff.html

References for George Birkhoff Version for printing Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. available on the Web Books: Collected Mathematical Works of George David Birkhoff (Providence R.I., 1950). S Diner, D Fargue and G Lochak (eds.), Dynamical systems : a renewal of mechanism : centennial of George David Birkhoff (Singapore, 1986). Articles: R C Archibald, A semicentennial history of the American Mathematical Society 1888-1938 (New York, 1980), 212-218. L J Butler, George David Birkhoff, American National Biography (Oxford, 1999), 813-814. I M H Etherington, Obituary: George David Birkhoff, Edinburgh Math. Notes 1947 J Hadamard, Obituary: George David Birkhoff, C. R. Acad. Sci. Paris D D Kosambi, Obituary: George David Birkhoff, 1884-1944, Math. Student R E Langer, Obituary: George David Birkhoff, Trans. Amer. Math. Soc. S Mac Lane, Jobs in the 1930s and the views of George D Birkhoff, Math. Intelligencer M Morse, George David Birkhoff and his mathematical work, Bull. Amer. Math. Soc.

23. Birkhoff, George David (1884-1944) -- From Eric Weisstein's World Of Scientific birkhoff, george David (18841944) birkhoff was educated at the Universityof Chicago, where he received his Ph.D. in 1907. He then taught at University http://scienceworld.wolfram.com/biography/Birkhoff.html

Branch of Science Mathematicians Nationality American ... Barran Birkhoff, George David (1884-1944) This entry contributed by Michel Barran The greatest American mathematician of the early 20th century. Birkhoff was educated at the University of Chicago, where he received his Ph.D. in 1907. He then taught at University of Wisconsin (1907-1909), Princeton (1909-1912), and Harward (1912-1939). He served as president of the American Mathematical Society (1924-26), as dean of the Harvard Faculty of Arts and Sciences (1935-39), and as president of the American Association for the Advancement of Science (1936-37). He was also editor of Annals of Mathematics Transactions of the American Mathematical Society (1920-25), and the American Journal of Mathematics (1943-44). Over the course of his career, Birkhoff was honored with numerous prizes and awards. Birkhoff conducted research mainly in mathematical analysis and analysis applied to dynamics. He formulated the ergodic theorem, which transformed the Maxwell-Boltzmann ergodic hypothesis of the kinetic theory of gases into a rigorous principle. He also investigated linear differential equations and theory of difference equations. He studied periodic orbits and three-body problems within general theory of dynamic systems and ergodic theory, and found the existence of an infinite number of periodic solutions to the restricted three-body problem Birkhoff also studied regularization in a 1915 paper. In topology, Birkhoff proved

24. Birkhoff, George David. The Columbia Encyclopedia, Sixth Edition. 2001-05 birkhoff, george David. The Columbia Encyclopedia, Sixth Edition. 200105. http://www.bartleby.com/65/bi/BirkhoffGD.html

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25. Mathematics: Page 1. Index To Biographical Entries. The Columbia Encyclopedia, S birkhoff, Garrett birkhoff, george David Bolyai Bolzano, Bernard Boole,george Borel, Félix Édouard Émile Bourbaki, Nicolas http://www.bartleby.com/65/cat/bio/mathbio1.html

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26. George David Birkhoff birkhoff, george David, 1884–1944, American mathematician, b. Overisel, Mich.; fatherof Garrett birkhoff. The son of a physician, he was educated at http://www.factmonster.com/ce6/people/A0807659.html

Home U.S. People Word Wise ... Homework Center Fact Monster Favorites 2006 TFK Almanac Quiz: Charlie and the Chocolate Factory SpongeBob Lemony Snicket ... Fantasy Books Reference Desk Atlas Almanacs Dictionary Encyclopedia ... Encyclopedia Birkhoff, George David Birkhoff, George David, , American mathematician, b. Overisel, Mich.; father of Garrett Birkhoff. The son of a physician, he was educated at Harvard (B.A., 1905) and the Univ. of Chicago (Ph.D., 1907) After teaching shortly at Chicago and Princeton, he joined the faculty at Harvard (1912) where he taught until his death. Birkhoff, perhaps the first American mathematician of international repute, is known for his work on linear differential equations and difference equations. He was also deeply interested in and made contributions to the analysis of dynamical systems, celestial mechanics, the four-color map problem, and function spaces. In addition he wrote on the foundations of relativity and quantum mechanics and on art and music, e.g., Aesthetic Measure See his Collected Mathematical Papers (3 vol., 1950).

27. Garrett Birkhoff Princeton, NJ; son of george David birkhoff. He was educated at Harvard (BA,1932) where he george David birkhoff birkhoff, george David, 1884–1944, http://www.factmonster.com/ce6/people/A0807658.html

Home U.S. People Word Wise ... Homework Center Fact Monster Favorites 2006 TFK Almanac Quiz: Charlie and the Chocolate Factory SpongeBob Lemony Snicket ... Fantasy Books Reference Desk Atlas Almanacs Dictionary Encyclopedia ... Encyclopedia Birkhoff, Garrett u Pronunciation Key Birkhoff, Garrett A Survey of Modern Algebra (with Saunders MacLane, 1941) became a standard undergraduate textbook. See his Lattice Theory (1940, 3d ed. 1967). The Columbia Electronic Encyclopedia, Page Tools: Cite Print More on Garrett Birkhoff from Fact Monster: George David Birkhoff Scientists: Math - Biographies of Notable Scientists in Math Encyclopedia: Mathematics: Biographies - Encyclopeadia articles concerning Mathematics: Biographies. See more Encyclopedia articles on: Mathematics: Biographies AD AD AD ADS Business Cards Link to Fact Monster Add Fact Monster search ... Privacy Brought to you by: Information Please

28. Birkhoff, George David --  Encyclopædia Britannica birkhoff, george David foremost American mathematician of the early 20th century,who formulated the ergodic theorem. http://www.britannica.com/eb/article-9015375

Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents George David Birkhoff Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Birkhoff, George David  Encyclopædia Britannica Article Page 1 of 1 George David Birkhoff born March 21, 1884, Overisel, Michigan, U.S. died November 12, 1944, Cambridge, Massachusetts foremost American mathematician of the early 20th century, who formulated the ergodic theorem Birkhoff attended the Lewis Institute (now the Illinois Institute of Technology ) in Chicago from 1896 to 1902 and then spent a year at the University of Chicago before switching to Harvard University Birkhoff, George David...

29. Birkhoff, George David --  Britannica Student Encyclopedia birkhoff, george David (1884–1944), US mathematician, born in Overisel, Mich.; taughtat Univ. of Wisconsin, Madison (1907–09), Princeton Univ. http://www.britannica.com/ebi/article-9310232

Home Browse Newsletters Store ... Subscribe Already a member? Log in This Article's Table of Contents Birkhoff, George David Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Birkhoff, George David  Student Encyclopedia Article Page 1 of 1 Birkhoff, George David... (75 of 96 words) var mm = [["Jan.","January"],["Feb.","February"],["Mar.","March"],["Apr.","April"],["May","May"],["June","June"],["July","July"],["Aug.","August"],["Sept.","September"],["Oct.","October"],["Nov.","November"],["Dec.","December"]]; To cite this page: MLA style: "Birkhoff, George David." Britannica Student Encyclopedia http://www.britannica.com/ebi/article-9310232

30. Media Art Net | Birkhoff, George David: Biography george David birkhoff Georg David birkhoff Georg David birkhoff george Davidbirkhoff. b 1884—died 1944. The American mathematician was a professor http://www.medienkunstnetz.de/artist/birkhoff/biography/

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31. Medien Kunst Netz | Birkhoff, George David: Biografie Translate this page george David birkhoff Georg David birkhoff Georg David birkhoff. george Davidbirkhoff Georg David birkhoff Fotografie © george David birkhoff http://www.medienkunstnetz.de/kuenstler/birkhoff/biografie/

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32. Birkhoff, George David birkhoff, george David (18841944) birkhoff was born at Overisel, Michigan,and studied at the University of Chicago and at Harvard. http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/B/Birkhoff/1.htm

Birkhoff, George David US mathematicians who made fundamental contributions to the study of dynamical systems such as the Solar System. He formulated the 'weak form' of the ergodic theorem. Birkhoff was born at Overisel, Michigan, and studied at the University of Chicago and at Harvard. From 1912 he taught at Harvard, and was made professor 1919. Birkhoff developed a system of differential equations which is still inspiring research. His work on difference equations was notable for the prominence he gave to the use of matrix algebra. With John Von Neumann , Birkhoff was chiefly responsible for establishing, in the 1930s, the modern science of ergodics. He arrived at the statement of his 'positive ergodic theorem', or what is known as the 'weak form' of ergodic theory, just before Von Neumann published his 'strong form' of it. Birkhoff also transformed the Maxwell-Boltzmann hypothesis of the kinetic theory of gases, which was undermined by the number of exceptions found to it, into a vigorous principle. Throughout his life Birkhoff argued that Einstein 's general relativity was an unhelpful theory.

33. Garrett Birkhoff Princeton, NJ; son of george David birkhoff. He was educated at Harvard (BA, birkhoff, george David (The Columbia Encyclopedia, Sixth Edition) http://www.infoplease.com/ce6/people/A0807658.html

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34. Encyclopedia: Mathematics: Biographies Eugenio Benedetti, Giovanni Battista Bernoulli Bhaskara birkhoff,Garrett birkhoff, george David Bolyai Bolzano, Bernard Boole, george http://www.infoplease.com/encyclopedia/1mathbio.html

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35. National Academy Of Sciences - Deceased Member birkhoff, george D. Date of Birth, March 21, 1884. Elected to NAS, 1918.Date of Death, November 12, 1944. Biographical Memoir HTML PDF. http://www4.nationalacademies.org/nas/nasdece.nsf/(urllinks)/NAS-58MUGX?opendocu

36. History The NAS Building Legal Documents Giving To The National birkhoff, george D. birkhoff, Garrett Bishop, george H. Bisplinghoff, Raymond L.Bjerknes, Jacob A. Bjerknes, VFK Bjerrum, Niels Blackett, PMS Baron http://www4.nationalacademies.org/nas/nasdece.nsf/urllinks/$$AlphaListB?OpenDocu

37. Aesthetic Measure. By [Aesthetics]. Birkhoff, George D. : Steven Schuyler Bookse birkhoff, george D. Aesthetic Measure. Harvard University Press Cambridge 1933folio. pp 226. indexed. illustrated with several b/w drawings. http://www.rarebookstore.net/cgi-bin/schuyler/2980.html

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38. Encyclopaedia Britannica Entry birkhoff, george David. Born March 21, 1884, Overisel, Mich., US Died Nov.12, 1944, Cambridge, Mass. Foremost American mathematician of the early 20th http://www.aam314.vzz.net/EB/Birkhoff.html

Birkhoff, George David Born: March 21, 1884, Overisel, Mich., U.S. Died: Nov. 12, 1944, Cambridge, Mass. Foremost American mathematician of the early 20th century, who formulated the ergodic theorem, which transformed the Maxwell-Boltzmann ergodic hypothesis of the kinetic theory of gases (to which exceptions are known) into a rigorous principle through use of the Lebesgue measure theory. Birkhoff taught at the University of Wisconsin, Madison (1907-09); Princeton University (1909-12); and Harvard University (1912-44). He was an extraordinarily stimulating lecturer and director of research. In the mid-20th century, many of the leading American mathematicians had either written their doctoral dissertations under his direction or had done postdoctoral research with him. He conducted research mainly in mathematical analysis and analysis applied to dynamics. His dissertation and much of his later work dealt with the solutions of ordinary differential equations and the associated expansions of arbitrary functions. Using matrix methods, he also contributed fundamentally to the theory of difference equations. Birkhoff served as president of the American Mathematical Society (1924-26), as dean of the Harvard faculty of arts and sciences (1935-39), and as president of the American Association for the Advancement of Science (1936-37). His works include

39. AIP Niels Bohr Library Relativity and modern physics microform / by george David birkhoff, with thecooperation of Rudolph Ernest Langer. by birkhoff, george David, 18841944. http://www.aip.org/history/catalog/25997.html

If you are not immediately redirected, please click here My List - Help Browse Books Archival Resources Archival Finding Aids Photos Browse FAQs Past Searches History Home Search: Author Subject Title Journal/Newspaper Title Series Computer File (Software) Title Video Title Refine Search AIP Niels Bohr Library Item Information Holdings More by this author Birkhoff, George David, 1884-1944. Subjects Relativity (Physics) Browse Catalog by author: Birkhoff, George David, 1884-1944. by title: Relativity and moder... MARC Display Relativity and modern physics [microform] / by George David Birkhoff, with the cooperation of Rudolph Ernest Langer. by Birkhoff, George David, 1884-1944. Cambridge : Harvard University Press, 1927. 1927. Description: xi, 283 p., diagrs. ; 23 cm. Notes: First title filmed with : Birtwistle, George. The quantum theory of the atom. Cambridge [England] : The University Press, 1926. Birtwistle, George. The principles of thermodynamics. Cambridge [England] : The University Press, 1927. Bitter, Francis. ntroduction to ferromagnetism. New York : McGraw-Hill, 1937. Bjerkness, V. (Vilhelm). Fields of force ; supplementary lectures, applications to meteorology; a course of lectures in mathematical physics delivered December 1 to 23, 1905. New York : The Columbia University press; [etc., etc.], 1906. Bjerkness. V. (Vilhelm). Dynamic meteorology and hydrography. Washington, D.C. : Carnegie Institution of Washington, 1910-1911. Blackett, P. M. S. (Patrick Maynard Stuart), Baron Blackett. Military and political consequences of atomic energy. London : Turnstile Press, [1948].

40. AIP Niels Bohr Library birkhoff, george David, 18841944. Subjects. Dynamics. Browse Catalog Dynamical systems / by george D. birkhoff. by birkhoff, george David, 1884-1944. http://www.aip.org/history/catalog/25541.html

If you are not immediately redirected, please click here My List - Help Browse Books Archival Resources Archival Finding Aids Photos Browse FAQs Past Searches History Home Search: Author Subject Title Journal/Newspaper Title Series Computer File (Software) Title Video Title Refine Search AIP Niels Bohr Library Item Information Holdings More by this author Birkhoff, George David, 1884-1944. Subjects Dynamics. Browse Catalog by author: Birkhoff, George David, 1884-1944. by title: Dynamical systems / ... MARC Display Dynamical systems / by George D. Birkhoff. by Birkhoff, George David, 1884-1944. New York : American Mathematical Society, 1927. 1927. Call Number: N8 BIR z Description: viii, 295 p. : diagrs. ; 24 cm. Source of Acquisition: From the library of Joseph Weber; Series: Colloquium publications (American Mathematical Society) ; v. 9 Copy/Holding information Location Collection Call No. Status Niels Bohr Library Books General Collection N8 BIR In NBL Format: HTML Plain text Delimited Subject: Email to: Horizon Information Portal 3.0 Dynix

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