1. George David Birkhoff George David Birkhoff, 18841944. The first dynamicist in the New World, Birkhoff picked up where Poincare left off. Although a geometer at heart, he discovered new symbolic methods. http://www.exploratorium.edu/complexity/lexicon/birkhoff.html

George David Birkhoff, 1884-1944 The first dynamicist in the New World, Birkhoff picked up where Poincare left off. Although a geometer at heart, he discovered new symbolic methods. He saw beyond the theory of oscillations, created a rigorous theory of ergodic behavior, and foresaw dynamical models for chaos. Exhibits Lexicon Timeline © The Exploratorium, 1996

2. George (David) Birkhoff Store George (David) Birkhoff Listing of 2 George (David) Birkhoff items available for purchase at our online store. Click here for George (David) Birkhoff and George (David) Birkhoff related products http://www.mathbook.com/bio/b/George_David_Birkhoff

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3. Birkhoff George David Birkhoff. Born George Birkhoff s parents were David Birkhoff,who was a medical doctor, and Jane Gertrude Droppers. George http://www-gap.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 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.

4. Birkhoff George David Birkhoff, George David. ABD li matematikçi (Overisel, Massachusetts 1884Cambridge,Massachusetts 1944). Ilk matematik çalismasini http://www.sanalhoca.com/matematik/matematikçiler/Birkhoff.htm

Günlük hayatta iþinize yarayacak dersler... En can alýcý noktalar... Ana Sayfa Kimya Matematik Fizik ... e-mail Birkhoff, George David ABD'li matematikçi (Overisel, Massachusetts 1884-Cambridge, Massachusetts 1944). Ýlk matematik çalýþmasýný 18 yaþýnda yayýnlayan, 23 yaþýnda doktorasýný veren George David Birkhoff, Wisconsin, Princeton ve Harward üniversitelerinde ders verdi. Amerikan Matematik Derneði'nin, Amerikan Bilim Ýlerleme Derneði'nin baþkanlýðýnda bulundu. Poincare'in son geometri teoremini kanýtlayarak üç cisim problemine, diferansiyel denklemlere, harita renklendirme kuramýna (topografyanýn önemli bir aþamasý) büyük katkýlar yaptý.

5. Birkhoff George David Birkhoff. Born 21 March George Birkhoff was a student atthe Lewis Institute in Chicago from 1896 to 1902. He attended the http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Brkhff.htm

George David Birkhoff Born: 21 March 1884 in Overisel, Michigan, USA Died: 12 Nov 1944 in Cambridge, Massachusetts, USA Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page George Birkhoff was a student at the Lewis Institute in Chicago from 1896 to 1902. He attended the University of Chicago in 1902-3, then moving to Harvard University from 1903 to 1905. He was awarded his A.B. by Harvard in 1905 and his A.M. in 1906. Birkhoff returned to Chicago in 1905 to study for his doctorate which was awarded in 1907. His thesis was entitled Asymptotic Properties of Certain Ordinary Differential Equations with Applications to Boundary Value and Expansion Problems and his thesis advisor was Eliakim Moore . However, Archibald writes in [5]:- During his two years at Harvard, one in college and one in the graduate school, and Osgood were in their prime; but during the next two years [at Chicago] he worked under Eliakim Moore Bolza and Maschke , in the most inspiring mathematical center in the United States at that time. His dissertation was done quite independently however. Birkhoff taught at Wisconsin Madison at an instructor from 1907 to 1909 when he went to Princeton, becoming a professor there in 1911. In 1912 he moved to Harvard as an assistant professor and he was promoted to full professor there in 1919. In 1936 he became Dean of the Faculty of Arts and Science at Harvard.

6. Daniel Lemire, Researcher University 1954, was a student of Hassler Whitney Hassler Whitney, Harvard University1932, was a student of George birkhoff george Birkhoff, University of http://www.ondelette.com/acadia/

RESEARCH PUBLICATIONS SOFTWARE APPLETS ... BLOG Daniel Lemire B.Sc. ( Toronto ), M.Sc. ( Toronto ), Ph. D. ( Polytechnique Short bio I'm Lohan's dad Professor, Téluq, Université du Québec (Montréal) Adjunct Professor, University of New Brunswick As a researcher, I'm interested in multidimensional databases ( OLAP HOLAP and MOLAP ), collaborative filtering (see inDiscover ), and approximation theory. Applications of my work include e-Commerce and e-Learning. My most recent interests are the filtering and composition of learning objects as well as the application of multidimensional databases in collaboratif filtering. I am currently a professor at the University of Quebec. I was a researcher in the Internet Logic group at NRC . I have been the group leader of the NRC e-Health Research Group, a professor at Acadia University , an industry consultant, and a postdoctoral fellow at the Institut de génie biomédical . I earned my Ph.D. from the École Polytechnique de Montréal and graduated from the University of Toronto. In 2002, I won the Best Paper Award at the CASCON conference organized by IBM for my work on OLAP.

7. Daniel Lemire, Chercheur Translate this page Harvard University 1954, étudiant de Hassler Whitney Hassler Whitney, HarvardUniversity 1932, étudiant de George birkhoff george Birkhoff, University of http://www.ondelette.com/lemire/

Page personnelle de Daniel Lemire Bienvenue sur mon site! English web site Biographie Je suis le papa de Lohan! Professeur, Téluq, Université du Québec (Montréal) Professeur associé, University of New Brunswick En tant que chercheur, je m'intéresse aux bases de données multidimensionnelles ( OLAP HOLAP et MOLAP inDiscover ), ainsi qu'à la théorie de l'approximation. Les applications de mes travaux portent sur le commerce électronique et le cyberapprentissage (e-Learning). Plus récemment, je me suis intéressé au filtrage et à la composition des objets d'apprentissage ainsi qu'à l'application des bases de données multidimensionnelles au filtrage collaboratif. Je suis professeur à l'Université du Québec. J'ai été chercheur au sein du groupe de recherche en logique Internet au CNRC . J'ai été chef du groupe de recherche en santé électronique du CNRC , professeur à l' Université Acadia , consultant industriel et boursier post-doctoral à l'Institut de génie biomédical. J'ai obtenu mon doctorat à l'École Polytechnique de Montréal et j'ai fait le reste de mes études universitaires à Toronto (University of Toronto). En 2002, j'ai gagné le prix du

8. Graph Theory White Pages: George D. Birkhoff George D. Birkhoff. 18841944 http//www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Birkhoff.htmlPh.D. 1907 Chicago; Eliakim http://www1.cs.columbia.edu/~sanders/graphtheory/people/Birkhoff.GD.html

George D. Birkhoff http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Birkhoff.html Ph.D. 1907 Chicago; Eliakim H. Moore Asymptotic properties of certain ordinary differential equations with applications to boundary value and expansion problems Graph Theory Students: Hassler Whitney 1932 Harvard Some Old Graph Theory Publications: A determinant formula for the number of ways of coloring a map, Annals of Math. The reducibility of maps, Amer. J. Math On the number of ways of colouring a map, Proc. Edinburgh Math. Soc. On the polynomial expressions for the number of ways of coloring a map, Ann. Scuola Norm. Sup. Pisa Graph Theory Publications: Chromatic polynomials. (with Lewis, D. C.) Trans. Amer. Math. Soc. Graph Theory Books: The Graph Theory White Pages www.graphtheory.com JLG additions and corrections through Registration

9. AMS Online Books/COLL9/ 1927 classic by george D. birkhoff published by AMS. Scanned chapters in PDF. http://www.ams.org/online_bks/coll9/

Title List Help AMS Home AMS Bookstore Dynamical Systems by George D. Birkhoff Publication Date: 1927 Number of Pages: 305 pp. Publisher: AMS ISBN: 0-8218-3394-4 COLL/9.E Download Individual Chapters - FREE (11 files - 22.1mb) Frontmatter Title Introduction Preface Contents Physical aspects of dynamical systems Variational principles and applications Formal aspects of dynamics Stability of periodic motions ... Endmatter Addendum Footnotes Bibliography Index Comments: webmaster@ams.org Privacy Statement Search the AMS

10. Birkhoff, George David. The Columbia Encyclopedia, Sixth Edition. 2001 The Columbia Encyclopedia, Sixth Edition. 2001. birkhoff, george David. 1884–1944,American mathematician, b. Overisel, Mich.; father of Garrett birkhoff. http://www.bartleby.com/65/bi/BirkhoffGD.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia Cultural Literacy World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations Respectfully Quoted English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Birkhoff, George David

11. Birkhoff, George David birkhoff, george David. birkhoff, george David 18841944, American mathematician, b International Social Science Review)birkhoff, george David (18841944) http://www.infoplease.com/ce5/CE006123.html

HOTWORDS CITE PRINT EMAIL in All Infoplease Almanacs Biographies Dictionary Encyclopedia Home Almanacs Atlas Dictionary ... D-Day Infoplease Tools Periodic Table Conversion Tool Perpetual Calendar Year by Year ... Site Map Also from Infoplease Search Infoplease Info search tips Search Biographies Bio search tips 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).

12. Birkhoff, George David (1884-1944) -- From Eric Weisstein's World Of Scientific birkhoff, george David (18841944), This entry contributed by Michel Barran.The greatest American mathematician of the early 20th century. 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

13. Birkhoff Biography of george birkhoff (18841944) george David birkhoff. Born 21 March 1884 in Overisel, Michigan, USA george birkhoff's parents were David birkhoff, who was a medical doctor, and Jane Gertrude Droppers. george was 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 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.

14. Search Results For Birkhoff In 1969 birkhoff was appointed george Putnam Professor of Pure and AppliedMathematics at Harvard. Honours awarded to george birkhoff . http://www-gap.dcs.st-and.ac.uk/~history/Search/historysearch.cgi?BIOGINDEX=Birk

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

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia Cultural Literacy World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations Respectfully Quoted English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia Index to Biographical Entries PREVIOUS ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Mathematics Abel, Niels Henrik

16. Birkhoff, George David george David birkhoff (18841944). birkhoff attended Harvard andthe University of Chicago. He received his PhD from Chicago in http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib

George David Birkhoff (18841944) Birkhoff attended Harvard and the University of Chicago. He received his PhD from Chicago in 1907 for his dissertation on differential equations. Most of his work was done at Harvard, where he became a full professor in 1919. His major contributions were in dynamical systems (difference equations) and differential equations . He extended the work of Poincaré . He also worked on the four-color problem (colors required to produce a map) and applying mathematics to aesthetics in art, poetry, and music.

17. George David Birkhoff --  Encyclopædia Britannica Encyclopædia Britannica. birkhoff, george David. Encyclopædia Britannica Article Cite this article. george David birkhoff. born March 21, 1884, Overisel, Michigan, U.S. http://www.britannica.com/eb/article?eu=15573

18. Birkhoff, George David --  Britannica Student Encyclopedia birkhoff, george David Britannica Student Encyclopedia. To cite this page MLAstyle birkhoff, george David. Britannica Student Encyclopedia. 2004. http://www.britannica.com/ebi/article?eu=333951&query=topology&ct=ebi

19. Birkhoff, George David birkhoff, george David. birkhoff, george David 18841944, American mathematician, b International Social Science Review)birkhoff, george David (18841944) http://www.infoplease.com/ce6/people/A0807659.html

HOTWORDS CITE PRINT EMAIL in All Infoplease Almanacs Biographies Dictionary Encyclopedia Home Almanacs Atlas Dictionary ... D-Day Infoplease Tools Periodic Table Conversion Tool Perpetual Calendar Year by Year ... Site Map Also from Infoplease Search Infoplease Info search tips Search Biographies Bio search tips 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).

20. Birkhoff, George David birkhoff, george David. (b. March 21, 1884, Overisel, Mich., USd.Nov. 12, 1944, Cambridge, Mass.), foremost American mathematician http://www.phy.bg.ac.yu/web_projects/giants/birkhoff.html

Britannica CD Index Articles Dictionary Help Birkhoff, George David (b. March 21, 1884, Overisel, Mich., U.S.d. 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. His proof in 1913 of a geometric theorem of Henri topology (the study of surfaces and spaces) was a striking achievement. Birkhoff's formulation of the ergodic theorem (the so-called strong form), which was published shortly before the "weak" formulation of John von Neumann appeared, has important applications to modern analysis and is applicable in more cases than is the weak form. Birkhoff developed his own theory of gravitation after Albert Einstein had developed his, and he constructed a mathematical theory of aesthetics, which he applied to art, music, and poetry. All this internationally renowned creative work stimulated further scientific discoveries.

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