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A Century of Mathematics in America, Peter Duren Et Ai., (Eds.), Vol
Garrett Birkhoff has had a lifelong connection with Harvard mathematics. He was an infant when his father, the famous mathematician G. D. Birkhoff, joined the Harvard faculty. He has had a long academic career at Harvard: A.B. in 1932, Society of Fellows in 1933-1936, and a faculty appointmentfrom 1936 until his retirement in 1981. His research has ranged widely through alge bra, lattice theory, hydrodynamics, differential equations, scientific computing, and history of mathematics. Among his many publications are books on lattice theory and hydrodynamics, and the pioneering textbook A Survey of Modern Algebra, written jointly with S. Mac Lane. He has served as president ofSIAM and is a member of the National Academy of Sciences. Mathematics at Harvard, 1836-1944 GARRETT BIRKHOFF O. OUTLINE As my contribution to the history of mathematics in America, I decided to write a connected account of mathematical activity at Harvard from 1836 (Harvard's bicentennial) to the present day. During that time, many mathe maticians at Harvard have tried to respond constructively to the challenges and opportunities confronting them in a rapidly changing world. This essay reviews what might be called the indigenous period, lasting through World War II, during which most members of the Harvard mathe matical faculty had also studied there. Indeed, as will be explained in §§ 1-3 below, mathematical activity at Harvard was dominated by Benjamin Peirce and his students in the first half of this period. Then, from 1890 until around 1920, while our country was becoming a great power economically, basic mathematical research of high quality, mostly in traditional areas of analysis and theoretical celestial mechanics, was carried on by several faculty members. -
Academic Genealogy of the Oakland University Department Of
Basilios Bessarion Mystras 1436 Guarino da Verona Johannes Argyropoulos 1408 Università di Padova 1444 Academic Genealogy of the Oakland University Vittorino da Feltre Marsilio Ficino Cristoforo Landino Università di Padova 1416 Università di Firenze 1462 Theodoros Gazes Ognibene (Omnibonus Leonicenus) Bonisoli da Lonigo Angelo Poliziano Florens Florentius Radwyn Radewyns Geert Gerardus Magnus Groote Università di Mantova 1433 Università di Mantova Università di Firenze 1477 Constantinople 1433 DepartmentThe Mathematics Genealogy Project of is a serviceMathematics of North Dakota State University and and the American Statistics Mathematical Society. Demetrios Chalcocondyles http://www.mathgenealogy.org/ Heinrich von Langenstein Gaetano da Thiene Sigismondo Polcastro Leo Outers Moses Perez Scipione Fortiguerra Rudolf Agricola Thomas von Kempen à Kempis Jacob ben Jehiel Loans Accademia Romana 1452 Université de Paris 1363, 1375 Université Catholique de Louvain 1485 Università di Firenze 1493 Università degli Studi di Ferrara 1478 Mystras 1452 Jan Standonck Johann (Johannes Kapnion) Reuchlin Johannes von Gmunden Nicoletto Vernia Pietro Roccabonella Pelope Maarten (Martinus Dorpius) van Dorp Jean Tagault François Dubois Janus Lascaris Girolamo (Hieronymus Aleander) Aleandro Matthaeus Adrianus Alexander Hegius Johannes Stöffler Collège Sainte-Barbe 1474 Universität Basel 1477 Universität Wien 1406 Università di Padova Università di Padova Université Catholique de Louvain 1504, 1515 Université de Paris 1516 Università di Padova 1472 Università -
The Bicentennial Tribute to American Mathematics 1776–1976
THE BICENTENNIAL TRIBUTE TO AMERICAN MATHEMATICS Donald J. Albers R. H. McDowell Menlo College Washington University Garrett Birkhof! S. H. Moolgavkar Harvard University Indiana University J. H. Ewing Shelba Jean Morman Indiana University University of Houston, Victoria Center Judith V. Grabiner California State College, C. V. Newsom Dominguez Hills Vice President, Radio Corporation of America (Retired) W. H. Gustafson Indiana University Mina S. Rees President Emeritus, Graduate School P. R. Haimos and University Center, CUNY Indiana University Fred S. Roberts R. W. Hamming Rutgers University Bell Telephone Laboratories R. A. Rosenbaum I. N. Herstein Wesleyan University University of Chicago S. K. Stein Peter J. Hilton University of California, Davis Battelle Memorial Institute and Case Western Reserve University Dirk J. Struik Massachusetts Institute of Technology Morris Kline (Retired) Brooklyn College (CUNY) and New York University Dalton Tarwater Texas Tech University R. D. Larsson Schenectady County Community College W. H. Wheeler Indiana University Peter D. Lax New York University, Courant Institute A. B. Willcox Executive Director, Mathematical Peter A. Lindstrom Association of America Genesee Community College W. P. Ziemer Indiana University The BICENTENNIAL TRIBUTE to AMERICAN MATHEMATICS 1776 1976 Dalton Tarwater, Editor Papers presented at the Fifty-ninth Annual Meeting of the Mathematical Association of America commemorating the nation's bicentennial Published and distributed by The Mathematical Association of America © 1977 by The Mathematical Association of America (Incorporated) Library of Congress Catalog Card Number 77-14706 ISBN 0-88385-424-4 Printed in the United States of America Current printing (Last Digit): 10 987654321 PREFACE It was decided in 1973 that the Mathematical Association of America would commemorate the American Bicentennial at the San Antonio meet- ing of the Association in January, 1976, by stressing the history of Ameri- can mathematics. -
Ocm08458220-1820.Pdf (13.93Mb)
fii:ii'T?:?''ii?r-i -^; 317.3M31 M41 63AIHOI#V vv..», Digitized by tine Internet Arcliive in 2009 witli funding from University of IVIassacliusetts, Boston http://www.arcliive.org/details/pocl<etalmanacl<fo1820amer rt'ip^VyrttrVpT .yg^M^g^ THE MASSACHUSETTS AND United States Calendar; For the Year of our LORD 182 0. 4 and j Forty-fourth of American Independence. CONTAINING I 1 Civil, Judicial, Ecck/ia/iica/, and Military Lifts in X MASSACHUSETTS; ) Associations, and Corporate Institutions, \ for Literary^ agricultural^ and charitable Purpofes. A Lijl ^ Post-Towns in MaJ'ackufctts, with the Names of the Post-Masters. ALSO, Catalogues of the Officers of the GENERAL GOVERNMENT, With its feveral Departments and ERabliihments j i Times of the Sittings of the feveral Courtsj Governors in each State; And a Variety of other intcreftlng Articles. BOSTON : PUBLISHED BY JAMES LORING, AND WEST, RICHARDSON 8c LORD. Sold, wholefale and retail, at their Book -Stores, Covnliill. ^^^S5^3?S9©^fe6^^^5p5©(£^^©g^^^^6^»i^^f^^ " ECLIPSES FOR 1820. There wiU be four Eclipses this j'ear, two of the *Sun, and two of the Moon, as follows, viz. I. The first will be of the Sun, March Uth day, 8h. STm. in the morninv?;, invisii>ie to ns, but visible and central in the STUthcrn Ocean,, in Long. oQo 12' East of Boston, and Lat. 6 50 32' South. ' IT. The ^^econti will be of t!ie Moon, March 29tlv, 2h. 2ni.in the evening, consequently invisible at Boston. III. The third will be of the Hun, S'f^ptember 7th» invisible at Boston. -
Yixiong Fang
Henry Augustus Rowland Henry Andrews Bumstead Josiah Willard Gibbs Hermann Ludwig Ferdinand von Helmholtz H. A. (Hubert Anson) Newton Irving Fisher Thorstein Bunde Veblen William Graham Sumner Herbert Joseph Davenport J. Laurence (James) Laughlin William James Michel Chasles Louis Duncan Arthur W. Wright Charles Elwood Mendenhall Harry Fielding Reid Henry Brooks Adams Edward Bennett Rosa Pierre Janet Charles Newton Little E. H. (Eliakim Hastings) Moore Joseph Sweetman Ames Henry Parker Willis Edwin Herbert Hall Charles Franklin Dunbar Frederick Albert Saunders Granville Stanley Hall Wesley Clair Mitchell Leonard Eugene Dickson Oliver Mitchell Wentworth Sprague Herbert Ellsworth Slaught Frank William Taussig Stuart Wood John Trowbridge Joseph Lovering Maxime Bôcher Leona May Peirce Theodore William Richards James Waterman Glover Steven Eric Brinley Josiah Parsons Cooke Wallace Clement Sabine Kelly Lynn Brinley Gilbert Newton Lewis Donald Francis Campbell Edward Kasner Benjamin Peirce C. Felix (Christian) Klein Frederick Hollister Safford David Hilbert Milton Brockett Porter Nathaniel Bowditch Richmond Mayo-Smith Albert Abraham Michelson Rollin Arthur Harris Robert Andrews Millikan Walter Francis Willcox Harris Joseph RyanJames McMahon Frank Nelson Cole Charles McLean Andrews William Arnold Anthony Ogden Rood Isabel Maddison Herbert Baxter Adams Jacob Harry Hollander Heinrich Maschke Charles Homer Haskins Edmund Beecher Wilson Charlotte Angas Scott Edward Bennett Edwin Schofield Crawley Ruth Gentry William Keith Brooks John Anthony Miller George Tucker Sellew Reginald FessendenRussell Henry ChittendenIsaac Joachim Schwatt John Bell Sanborn Moses Gomberg Wendell Melville Strong Lafayette Benedict Mendel Emilie Norton Martin Paul Samuel Reinsch Jacob Westlund Albert Benjamin Prescott James Harkness James P. Pierpont Henry ByronArnold Newson Emch Arthur Gordon Webster Albert Potter Wills Benjamin Osgood Peirce Shunkichi Kimura F. -
Jakob Milich Albert-Ludwigs-Universität Freiburg Im Breisgau / Universität Wien Nicoló Fontana Tartaglia 1520
Jakob Milich Albert-Ludwigs-Universität Freiburg im Breisgau / Universität Wien Nicoló Fontana Tartaglia 1520 Erasmus Reinhold Bonifazius Erasmi Martin-Luther-Universität Halle-Wittenberg Martin-Luther-Universität Halle-Wittenberg Ostilio Ricci 1535 1509 Universita' di Brescia Johannes Volmar Galileo Galilei Valentine Naibod Nicolaus Copernicus (Mikołaj Kopernik) Martin-Luther-Universität Halle-Wittenberg Università di Pisa Martin-Luther-Universität Halle-Wittenberg / Universität Erfurt 1499 1515 1585 Rudolph (Snel van Royen) Snellius Georg Joachim von Leuchen Rheticus Benedetto Castelli Petrus Ryff Universität zu Köln / Ruprecht-Karls-Universität Heidelberg Ludolph van Ceulen Martin-Luther-Universität Halle-Wittenberg Università di Padova Gilbert Jacchaeus Universität Basel 1572 1535 1610 University of St. Andrews / Universität Helmstedt / Universiteit Leiden 1584 Willebrord (Snel van Royen) Snellius Marin Mersenne Moritz Valentin Steinmetz Adolph Vorstius Emmanuel Stupanus Universiteit Leiden Université Paris IV-Sorbonne Universität Leipzig Evangelista Torricelli Universiteit Leiden / Università di Padova Universität Basel 1607 1611 1550 Università di Roma La Sapienza 1619 1613 Jacobus Golius Christoph Meurer Vincenzo Viviani Franciscus de le Boë Sylvius Georg Balthasar Metzger Johann Caspar Bauhin Universiteit Leiden Gilles Personne de Roberval Universität Leipzig Università di Pisa Universiteit Leiden / Universität Basel Friedrich-Schiller-Universität Jena / Universität Basel Universität Basel 1612 1582 1642 1634 1644 1649 Frans van -
Wesleyan.Pdf
Sharaf al-Dīn al-Ṭūsī Kamāl al-Dīn Ibn Yūnus Academic Genealogy of the Wesleyan University Department of Mathematics and Computer Science Nasir al-Dīn al-Ṭūsī The Mathematics Genealogy Project is a service of North Dakota State University and the American Mathematical Society. Shams al‐Dīn al‐Bukhārī www.mathgenealogy.org Maragheh Observatory Gregory Chioniadis Ilkhans Court at Tabriz 1296 Manuel Bryennios Theodore Metochites 1315 Gregory Palamas Nilos Kabasilas 1363 Demetrios Kydones Elissaeus Judaeus Manuel Chrysoloras Georgios Plethon Gemistos 1380, 1393 Basilios Bessarion Mystras 1436 Guarino da Verona Johannes Argyropoulos 1408 Università degli Studi di Padova 1444 Vittorino da Feltre Marsilio Ficino Cristoforo Landino Università degli Studi di Padova 1416 Università degli Studi di Firenze 1462 Theodoros Gazes Nicole Oresme Ognibene (Omnibonus Leonicenus) Bonisoli da Lonigo Florens Florentius Radwyn Radewyns Geert Gerardus Magnus Groote Paolo (Nicoletti) da Venezia Angelo Poliziano Università di Mantova 1433 Università di Mantova Università degli Studi di Firenze 1477 Constantinople 1433 Heinrich von Langenstein Demetrios Chalcocondyles Leo Outers Rudolf Agricola Jacob ben Jehiel Loans Thomas von Kempen à Kempis Sigismondo Polcastro Gaetano da Thiene Scipione Fortiguerra Moses Perez Université de Paris 1363 Accademia Romana 1452 Université Catholique de Louvain 1485 Università degli Studi di Ferrara 1478 Università degli Studi di Firenze 1493 Université de Paris 1375 Mystras 1452 Jan Standonck Johann (Johannes Kapnion) Reuchlin Johannes -
Beex Colorado State U. 1979 Victor Debrunner Virginia Polytechnic Inst
1regory Pala*as =oger 1. 8 ite =ic ard Pearson, ?r 5ilos #a'asilas ?o annes 3on .ildes ei* 1363 1&)& .einric 3on Langenstein De*etrios #ydones 0lissaeus ?udaeus U. Paris 1375 1&79 1eorgios Plet on 1e*istos 1393 1&9& ?o annes 3on 1*unden +anuel Chrysoloras U. 8ien 1406 1(") 1uarino da Verona 1408 1("- Vittorino da $eltre U. Pado3a 1416 1(1) > eodoros Ga6es U. +anto3a 1433 1(&& Basilios Bessarion +ystras 1436 1(&) 1eorg 3on Peuer'ac U. 8ien 1440 1((" ?o annes Argyro/oulos 1aetano de > iene Sigis*ondo Polcastro U. Pado3a 1444 1((( De*etrios Chalcocondyles Pietro =occa'onella Pelo/e +ystras U. Pado3a 1452 1(9% 5iccolo Leoniceno 5icoletto Vernia U. Pado3a U. Pado3a 1453 1(9& ?o annes +uller =egio*ontanus U. 8ien 1457 1(97 +arsilio $icino Paolo dal Po66o >oscanelli U. $lorence U. Pado3a 1462 1()% Leonardo da Vinci 1eert 1erardus +agnus 1roote $lorens $lorentius Rad:yn =ade:yns U. $lorence 1471 1(71 ?anus Lascaris > o*as 3on #e*/en a #e*/is U. Pado3a 1472 1(7% Alexander .egius ?aco' 'en ?e iel Loans St. Agnes, C:olle 1474 1(7( ?o annes Sto44ler Cristo4oro Landino U. !ngolstadt 1476 1(7) Angelo Poli6iano U. $lorence 1477 1(77 =udol4 Agricola 1eorgius .er*ony*us U. $errara 1478 1(7- ?acAues Le4e3re d0ta/les U. Paris 1480 1(-" ?o ann Reuc lin Luca Pacioli U. Poitiers 1481 1(-1 Do*enico da $errara U. $lorence 1483 1(-& Leo ;uters U. Lou3ain 1485 1(-9 +arco +usuro U. $lorence 1486 1(-) Pietro Po*/ona66i U. -
Calculated for the Use of the State Of
# 2/ (J) ^lijy'^ Digitized by tine Internet Arciiive in 2009 witii funding from University of IVIassachusetts, Boston http://www.arcliive.org/details/pocketalmanackfo1832amer .1 THE MASSACHUSETTS REGISTER, mmuti states ©aUnlrat% For the Year AI.SO CITY OFFICERS IN BOSTON, AND OTHER Sascftil Knformatfon. BOSTON: PUBLISHED BY JAMES LORING, 138 Washinrton Street. — ECLIPSES IN 18S2. Snn There will not be any eclipse of the Moon in the course of this year. Of the Mercury, which is more there wUl be three, viz : two by the Moon and the third by usually termed a transit of Mercury over the Sun's disc. partly visible in the State The first will happen on the 1st of February, and will be and an- of Louisiana, but in no other State in the Union. The Sun will be centrally lon- nularly eclipsed on the meridian of the place, in latitude 15 deg. 12 min. North, gitude 154 deg. 15 min. West. Nearly The second (the transit of Mercury) will happen on Saturday, May 5th. the whole of the transit will be visible in New England, as follows, viz :— Sun's lower limb rises 36m. after? 4. 54 n^ j^ . the be^nning of the transit, $ . • Apparent Conjunction, 7 20 27 " . j^fgan time Nearest approach of Mercury to the Sun's centre, 7 41 42 " ( at Boston. Second internal contact, II 42" Second external contact, - - - - - 11 7 17" Viewed through a telescope (the eye being carefully protected from the Sun's light) Mercury will appear as a small round dark body, passing across the Sun's disc. -
Academic Genealogy of Meng-Che Ho
Nasir al-Din al-Tusi Shams ad-Din Al-Bukhari Maragheh Observatory Gregory Chioniadis Manuel Bryennios Theodore Metochites 1315 Gregory Palamas Nilos Kabasilas 1363 Elissaeus Judaeus Demetrios Kydones Georgios Plethon Gemistos Manuel Chrysoloras 1380, 1393 Basilios Bessarion 1436 Mystras Johannes Argyropoulos Guarino da Verona 1444 Università degli Studi di Padova 1408 Marsilio Ficino Cristoforo Landino Vittorino da Feltre 1462 Università degli Studi di Firenze 1416 Università degli Studi di Padova Theodoros Gazes Nicole Oresme Geert Gerardus Magnus Groote Florens Florentius Radwyn Radewyns Angelo Poliziano Ognibene (Omnibonus Leonicenus) Bonisoli da Lonigo 1433 Università di Mantova 1477 Università degli Studi di Firenze Università di Mantova 1433 Constantinople Heinrich von Langenstein Demetrios Chalcocondyles Thomas von Kempen à Kempis Jacob ben Jehiel Loans Scipione Fortiguerra Rudolf Agricola Moses Perez Gaetano da Thiene Sigismondo Polcastro Leo Outers 1363 Université de Paris 1452 Accademia Romana 1493 Università degli Studi di Firenze 1478 Università degli Studi di Ferrara 1485 Université Catholique de Louvain 1375 Université de Paris 1452 Mystras Jan Standonck Johann (Johannes Kapnion) Reuchlin Johannes von Gmunden Alexander Hegius Johannes Stöffler Matthaeus Adrianus Girolamo (Hieronymus Aleander) Aleandro François Dubois Jean Tagault Janus Lascaris Nicoletto Vernia Pietro Roccabonella Pelope Maarten (Martinus Dorpius) van Dorp 1474 Collège Sainte-Barbe 1477 Universität Basel 1406 Universität Wien 1474 1476 Universität Ingolstadt