41. The Null Set: Resources: Books birkhoff, garrett and Saunders MacLane. Algebra. Emphasizes universal constructions.birkhoff, garrett and Saunders MacLane. A Survey of Modern Algebra. http://www.princeton.edu/~mathclub/resources3.html

Resources: Books Following is a list of math books that members of the math club (or other mathematics students) have read. The books are organized by subject, and all citations are of the most recent edition (that the reviewer knows of). In addition, the Links page has a list of mathematics books available online. If you don't find what you're looking for, you might try the Chicago undergraduate mathematics bibliography , compiled by Christopher Jeris at MIT. We appreciate submissions of books in all areas, so please e-mail us at mathclub@princeton.edu Table of Contents Resources Computer Software Books General Interest Elementary Analysis Linear Algebra Abstract Algebra ... Practice Putnam Exams General Interest Top Courant, Richard and Herbert Robbins. What is Mathematics?

42. Harvard Gazette: Memorial Minute Memorial Minute garrett birkhoff. garrett birkhoff spent practically his entirescientific life at Harvard. He was born in Princeton on Jan. 10, 1911. http://www.news.harvard.edu/gazette/2002/12.12/24-mm.html

Current Issue: December 12, 2002 News News, events, features Science/Research Latest scientific findings Profiles The people behind the university Community Harvard and neighbor communities Sports Scores, highlights, upcoming games On Campus Newsmakers, notes, students, police log Arts Museums, concerts, theater Calendar Two-week listing of upcoming events Garrett Birkhoff - 'I am proud of having contributed to the defeat of Hitler through my work on shaped charges and to the understanding of technology through my work on scientific computing.' Memorial Minute: Garrett Birkhoff At a meeting of the Faculty of Arts and Sciences on November 12, 2002, the following Minute was placed upon the records. Garrett Birkhoff spent practically his entire scientific life at Harvard. He was born in Princeton on Jan. 10, 1911. His family moved to Cambridge in 1912 when his father, George D. Birkhoff, was appointed to the Harvard Faculty where he served as Professor of Mathematics until 1944. G.D. Birkhoff was a leading American mathematician, domineering and competitive. It is a testament to Garrett Birkhoff's strength of character that he entered a field dominated by his father and was able to have such a brilliant and varied career. Garrett Birkhoff was educated at home until age eight, and then attended public elementary school for three years. Rather than entering high school at an exceptionally young age, he took a year off riding his bicycle, playing baseball, and skating before entering Browne and Nichols for high school at age 12. After high school he again spent a year at a boarding school at Lake Placid with an emphasis on skiing. When he joined his parents in Europe for the summer, his father gave him a calculus book in French to read, so that he would know calculus when he entered Harvard in the Fall. At Harvard, four of his instructors: Brinkman, Morse, Walsh, and Whitney were his father's Ph.D.'s, and Prof. Kellogg, of potential theory fame, was his next door neighbor. As Garrett put it, "my undergraduate mathematics education was almost an inside job."

43. Physical Sciences birkhoff, garrett and GianCarlo Rota, Ordinary Differential Equations,2nd Edition, Xerox Co. Lexington, Massachusetts, 1969. birkhoff http://www.faess.jcu.edu.au/homepages/staff/JimCoughlan/Physical_Sciences.htm

Physical Sciences Author(s) Title Publisher Place Published Year Published Abramson, Norman Information Theory and Coding McGraw Hill Ackner, Joseph Pocket Encyclopedia of Physical Sciences: Astronomy/Chemistry/Geology/Meteorology/Physics Golden Press New York Adler, Irving A New Look at Geometry Dobson Books Ltd. London Agnew, Ralph P. Differential Equations, 2nd Edition McGraw Hill - Kogakusha Company Limited Tokyo Allendoerfer, Carl B. and Cletus O. Oakley Principles of Mathematics McGraw-Hill New York Allward, Maurice The Earth in Space Odhams Books London American Society for Testing and Materials 1965 Book of ASTAM Standards American Society for Testing and Materials Philadelphia Anonymous Man on the Moon The Herald and Weekley Times Limited Melbourne Anonymous Secrets of the Earth Sampsom Low London Ashby, W. Ross An Introduction to Cybernetics Methuen London Ashley, Ruth ANS COBOL: A Self-Teaching Guide, 2nd Edition John Wiley and Sons New York Ayers, Frank Jr.

44. Birkhoff, Garrett: Angewandte Algebra (1973) Translate this page http://graphics.tu-bs.de/Bibliotheken/InstCGBib/b000111?hyperwave=action=plain.a

45. A Survey Of Modern Algebra -- Garrett D. Birkhoff Saunders Mac Lane by garrett D. birkhoff and Saunders Mac Lane. AK Peters, Limited. Due/PublishedJanuary 1997, 500 pages, cloth. ISBN 1568810687. Seminary http://www.semcoop.com/detail/1568810687

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46. Algebra -- Saunders Mac Lane Garrett D. Birkhoff by Saunders Mac Lane and garrett D. birkhoff. American MathematicalSoc. Due/Published December 1997, 630 pages, cloth. ISBN 0828403309. http://www.semcoop.com/detail/0828403309

Search for Author/Title Keyword Title Author Publisher ISBN Featured Books in All Scholarly Subjects African American Studies African Studies American Studies Anthologies Anthropology Architecture Asian Studies Books on Books Chicago Cinema studies Media Studies Classical studies Critical Theory/Marxism Cultural Studies Geography Performance Studies Science studies Drama Economics Education Environmental studies Feminist theory/Women's study Fiction Folktales French Stuff General Interest Highlights History African African American American East Asia Eastern European European Latin American Medieval Middle East Russian South asian Southeast Asian Historiography Misc. History Humor International relations Journals Just for Fun Latin American/Caribbean St. Law Linguistics Literary Studies Literary Criticism Referenc Literary MOSTLY Theory Literary NOT Theory Mathematics Medicine/Health/AIDS Native American Studies Philosophy Photography Poetry Political Science/Sociology (Post)colonial studies Psychology Reference Foreign language reference General Reference Religious studies Black Theology Buddhist studies Islamic studies Biblical studies - New Test Biblical studies Old Test.

47. Index For The Letter B Gianfranco; birkhoff, GD; birkhoff, garrett; Birman, Alex; Bitner,James; BjorlingSachs, Iliana; Blackwell, David; Blaha, Kenneth; Blair http://sigact.acm.org/genealogy/index-B.html

This is the index into entries in the TCS Genealogy for names beginning with the letter B. Baayen, Pieter Cornelis Babai, Laszlo Bach, Eric Bachmair, Leo ... Buys,

48. Collected Works Branson V.11 CALL NO QA251 B4972 1987 AUTHOR birkhoff, garrett, 1911 MAIN TITLESelected papers on algebra and topology / by garrett birkhoff ; edited by http://lib.nmsu.edu/subject/math/mbib.html

C OLLECTED W ORKS F M ATHEMATICIANS B IBLIOGRAPHY CALL NO: QA3 A14 1881 AUTHOR: Abel, Niels Henrik, 1802-1829. MAIN TITLE: OEuvres completes de Niels Henrik Abel. EDITION: Nouv. ed., publiee aux frais de l'etat norve-gien par L. Sylow PUBLISHER: Christiania [Sweden] Grondahl, 1881. LOCATION: Branson Material: 2 v. in 1. 28 cm. Contents: t. 1. Memoires publies par Abel.t. 2. Memoires posthumes d'Abel Subject: Mathematics. cm Added Entry: Sylow, Peter Ludvig Mejdel, 1832- Added Entry: Lie, Sophus, 1842-1899. CALL NO: QB3 A2 AUTHOR: Adams, John Couch, 1819-1892. MAIN TITLE: The scientific papers of John Adams Couch, edited by William Grylls Adams, with a memoir by J. W. L. Glaisher. PUBLISHER: Cambridge, University press, 1896-1900. LOCATION: Branson V.1 and V.2 Material: 2 v. front. (port.) fold. map, facsims., diagr. 30 cm. Contents: v. 1. Biographical notice, by J. W. L. Glaisher. [Original papers published by the author during his lifetime, 1844-1890, ed. by William Grylls Adams]v. 2. pt. 1. Extracts from unpublished manuscripts, ed. by Ralph Allen Simpson. pt. 2. Terrestial magnetism, ed. by William Grylls Adams. Subject: Geomagnetism.

49. Hydrodynamics Garrett Birkhoff Hydrodynamics garrett birkhoff. Hydrodynamics garrett birkhoff Gallup InternationalPublic Opinion Poll Blacks in the West Travail and Triumph http://www.dot-book.co.uk/Hydrodynamics-0313201188.html

Hydrodynamics Garrett Birkhoff Hydrodynamics Garrett Birkhoff Gallup International Public Opinion Poll... Blacks in the West... Travail and Triumph... American Congress... ... Home

50. Birkhoff, George David encyclopediaEncyclopedia birkhoff, George David. birkhoff, George David, 1884–1944,American mathematician, b. Overisel, Mich.; father of garrett birkhoff. http://www.factmonster.com/ce6/people/A0807659.html

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). Birkhoff, Garrett birling AD AD AD AD AD Print this page Cite this page Awards and Press Link to Fact Monster Add Fact Monster search ... Privacy

51. Scientists Math Benedetti, Giovanni Battista; Bhaskara; birkhoff, garrett; birkhoff,George David; Bolzano, Bernard; Boole, George; Bradwardine, Thomas; http://www.factmonster.com/spot/scibio5.html

52. HISTORIA MATHEMATICA VOLUME 2, PAGES 425624, NOVEMBER 1975 1974. Edited by garrett birkhoff with the assistance of Sue Ann Garwood .. 425 http://www.chass.utoronto.ca/hm/table/02425624.html

Volume Index Previous VOLUME 2, PAGES 425624, NOVEMBER 1975 Proceedings Next Back to Historia Mathematica homepage. Last Updated: September 27, 1996

53. Yamada birkhoff, garrett. Lattice theory. Rev. birkhoff, garrett. A survey of modern algebra,by garrett birkhoff a Saunders MacLane. New York, Macmillan, 195O. http://www.lib.hit-u.ac.jp/service/bunko/yamada.htm

ŽR“c‹Ôˆê•¶ŒÉ–Ú˜^ ‚P‚X‚W‚P”N‚QŒŽ‚P‚T“ú”­s §186“Œ‹ž“s‘—§Žs’†2-1 TEL(0425)72-1101 ƒRƒƒj[ˆóü TEL(0423)94-1111 ¼@â@˜a@•v ŽR“c‹Ôˆêæ¶i1906-1974j‚ÌŽv‚¢o ˆé@–ì@@C @ÅŒã‚ɁCæ¶‚̏Š‘ ‘‚ð¬•½•ªŠÙ‚ÉŠñ‘¡‚³‚ꂽŒäˆâ‘°‚ƁC“úí‹Æ–±‘½–Z‚Ì‚È‚© ‚ð‚Æ‚­‚É‚±‚Ì•¶ŒÉ‚̐®—‚Ì‚½‚ß‚É“w—Í‚³‚ꂽŠÖŒWŽÒ‚Ì•ûX‚ÉŒú‚­Š´ŽÓ‚µ‚½‚¢B (1980E12E16j @1D‚±‚Ì•¶ŒÉ‚Ì•ª—ނ́CŽR“c‹Ôˆê‹³ŽöŽ©‚炪•ª—Þ‚µ‚½‚à‚Ì‚ðC‚»‚Ì‚Ü‚Ü“¥P‚µ‚Ä ‚¢‚éB @2DŠeX‚Ì•ª—Þ‚Ì’†‚́C—m‘‚Í’˜ŽÒ–¼i•ÒŽÒ–¼jC˜a‘‚͏‘–¼‚̃Aƒ‹ƒtƒ@ƒxƒbƒg ‡‚É”r—ñ‚µ‚Ä‚ ‚éB @3D‘ΏƎ–€iƒy[ƒW”E‘å‚«‚³“™j‚Ì‚ ‚Ƃɂ́C¬•½•ªŠÙ‚É‚¨‚¯‚鐿‹‹L†‚ª ‚‚¯‚ç‚ê‚Ä‚¢‚éB @4Dõˆø‚͐l–¼õˆøiŠÜC’c‘Ì–¼j‚̂ݍ쐬‚µ‚Ä‚ ‚éB @@AD—m‘‚Ì•” @@@1DAlgebra @@@2DLogic @@@3DMathematics @@@4DStatistics ... @@@8DMiscellanea @@BD˜a‘‚Ì•” @@@1D‘㐔 @@@2D˜_— @@@3D”Šw @@@4D“Œv ... @@@8D‚»‚Ì‘¼ @@CDŽGŽ‚Ì•” @@@1D—mŽGŽ @@@2D˜aŽGŽ —m‘‚Ì•” 1. Algebra. Aitken, Alexander Craig. @@Determinants and matrices. 8. ed. @Edinburgh, Oliver and Boyd, 1954. @@vii,144 p. 19 cm. (University @mathematical texts)@@710-236 Albert, A. Adrian.

54. Mat431_syllabus birkhoff, garrett and Mac Lane, Saunders. A Survey of Modern Algebra, FourthEdition. Mac Lane, Saunders and birkhoff, garrett. Algebra, Third Edition. http://wlcnt2.wlc.edu/intranet/faculty_staff/friske/mat431_syllabus.html

MATHEMATICS 431 Abstract Algebra 1 Text: Gallian, Joseph A. Contemporary Abstract Algebra . 4th ed. Boston (MA): Houghton Mifflin, 1998. Objectives (1) To develop understanding of the definitions and principal concepts of algebra, (2) To experience the proof techniques and methods of discovery used in algebra, and (3) To improve your appreciation for and ability to use mathematical reasoning. Course Content The course will consist of topics chosen by the instructor using chapters 1 - 14 of the text. On exams students are responsible for all material presented in class including any that is not in the text. Any material presented on the board or on handout sheets will be the "official" version for which students will be responsible on exams. Methodology Reading material and homework exercises will be assigned almost every time the class meets. Homework exercises will not be collected. It is your responsibility to ask questions about any difficulties encountered in these assignments. Not all material for which you are responsible will be presented in class. Since this is a 400-level course, the responsibility for learning is yours. The role of the professor is much more to facilitate your learning than to present material. You should come prepared to participate in class discussion and may anticipate being "called on" every time the class meets. Please note that class participation is a major component of the final grade. Problem Assignments There will be approximately 6 - 8 problem assignments, each consisting of several problems (usually proofs). These will be submitted and receive a letter grade. Due Dates: each assignment will have a specified due date. Problem assignments will not be accepted late except for circumstances beyond your control.

55. The Undergraduate Collection CALL NO. QA484 .B42 1971. AUTHOR birkhoff, garrett, 1911 TITLE A surveyof modern algebra by garrett birkhoff and Saunders MacLane. http://www-sul.stanford.edu/depts/mathcs/mathcscoll/UndeColl.html

The Undergraduate Collection Math Library General Information The Undergraduate Collection was a collection of classical mathematics books covering the history of mathematics, assembled by Professor Halsey L. Royden and Rebecca Lasher Wesley in the late 1980's. Professor Donald E. Knuth recommended additional books in the mathematical and computer sciences. At the time, Prof. Royden felt that all students of mathematics should become familiar with these works before they left Stanford. They are shelved in the book stacks by call number, and may sometimes be identified by a narrow (not round) bright green strip on the book's spine. AUTHOR: Aho, Alfred V. TITLE: Compilers, principles, techniques, and tools / Alfred V. Aho, Ravi Sethi, Jeffrey D. Ullman. IMPRINT: Repr. with corr. Mar. 1988. Reading, Mass. : Addison-Wesley Pub. Co., 1988, c1986 CALL NO.: QA76.76 .C65 A37 1988 AUTHOR: Aho, Alfred V. TITLE: Data structures and algorithms / Alfred V. Aho, John E. Hopcroft, Jeffrey D. Ullman. IMPRINT: Repr. with corrections. Reading, Mass. : Addison-Wesley, 1985, c1983. SERIES: Addison-Wesley series in computer science and information processing CALL NO.: QA76.9.D35 A38 1985

56. Seznam Odplavene Literatury birkhoff, garrett, Aplikovana algebra \\K1\, Alfa, Bratislava, 1981, 18.birkhoff, garrett, Prehlad modernej algebry \\K2\, Alfa, Bratislava, 1979,2. http://www.mff.cuni.cz/fakulta/lib/voda/sigm.htm

SEZNAM ODPLAVENYCH UCEBNIC OBORU MATEMATIKA Autor Nazev Nakladatel Misto vydani Rok ISBN Zniceno vytisku Statni pedagogicke nakladatelstvi Praha Statni pedagogicke nakladatelstvi Praha Statni pedagogicke nakladatelstvi Praha Statni pedagogicke nakladatelstvi Praha Statni pedagogicke nakladatelstvi Praha Statni pedagogicke nakladatelstvi Praha Statni pedagogicke nakladatelstvi Praha Prirodovedecke vydavatelstvi (Praha) Praha Jednota ceskych matematiku a fysiku Praha Statni pedagogicke nakladatelstvi Praha Borland apro Cesky Krumlov Encyklopedicky dum Praha Matematicko-fyzikalni fakulta UK Praha Statni pedagogicke nakladatelstvi Praha Statni nakladatelstvi ucebnic Praha Statni nakladatelstvi ucebnic Praha Prometheus Praha Prometheus Praha Prometheus Praha Prometheus Praha Ceske vysoke uceni technicke (Praha) Praha PLUTO Praha Statni pedagogicke nakladatelstvi Praha Statni pedagogicke nakladatelstvi Praha Spolecnost Otakara Boruvky Brno Matfyzpress Praha Oikoymenh Praha Academia Praha Lidove noviny Praha Nakladatelstvi Ceskoslovenske akademie ved Praha Jednota ceskoslovenskych matematiku a fysiku Praha Academia Praha Dum techniky CSVTS (Praha) Praha Dum techniky CSVTS (Praha) Praha Dum techniky CSVTS (Praha) Praha Slovenska technicka kniznica Bratislava Vysoka skola strojni a elektrotechnicka v Plzni-edicni stredisko Plzen Borland apro Cesky Krumlov Borland apro Cesky Krumlov Borland apro Cesky Krumlov Borland apro Cesky Krumlov Borland apro Cesky Krumlov Borland apro Cesky Krumlov Statni pedagogicke nakladatelstvi Praha Edelsa Madrid Edelsa Madrid 84-7711-045-X Ustredi vedeckych, technickych a ekonomickych informaci

57. ? Math. Soc.} %auth{birkhoff,garrett} \titl{Lattice theory} \seri{AMS Colloquium http://www.ms.osakafu-u.ac.jp/~aaweb/books.html

58. Alphabetic J. Bhasker PrenHall 1995 Introduction to Functional Programming Bird, R. and Wadler,P. PrenHall 1988 Lattice Theory birkhoff, garrett amer Mathematical http://www.capsl.udel.edu/LIBRARY/alphabetic.htm

Books are listed in alphabetic order according to authors' last name. A-B C-D E-F G-H ... X-Y-Z A - B Hopfield Algebras E. Abe Cambridge University Press 1977 Structure and Interpretation of Computer Programs Harold Abelson and Gerald Jay Sussman The MIT Press; McGraw-Hill 1985 Non-Well-Founded Sets Peter Aczel Center for the Study of Language and Information 1988 PostScript Language - Tutorial and Cookbook ADOBE SYSTEMS INC. Addison-Wesley Pub. Company 1985 PostScript Language - Reference Manual ADOBE SYSTEMS INC. Addison-Wesley Pub. Company 1985 ACTORS: A Model of Concurrent Computation in Distributed Systems Agha, G. A. The MIT Press Series in Artificial Intelligence 1986 The Design and Analysis of Computer Algorithms Aho, A. V. and Hopcroft, J. E. and Ullman, J. D. Addison-Wesley Pub. Company 1974 Data Structures and Algorithms Aho, A. V. and Hopcroft, J. E. and Ullman, J. D. Addison-Wesley Pub. Company 1983

59. FINDING AID NAME LIST Correspondence Birch, Samuel, 18131885Correspondence Birge, Raymond T. (RaymondThayer), b. 1887Correspondence birkhoff, garrett, 1911- Birth Control http://memory.loc.gov/faid/faidname003.html

Library of Congress Search Finding Aids NAMES PREVIOUS NEXT INDEX Bigelow, John, 1817-1911Correspondence ... Search Finding Aids December 17, 2002 Contact Us

60. NA Digest, V. 96, # 46 From Chandler Davis davis@math.toronto.edu Date Tue, 3 Dec 1996 1624350500 Subject garrett birkhoff I learned only from NA Digest of garrett http://www.netlib.org/netlib/na-digest-html/96/v96n46.html

NA Digest Sunday, December 8, 1996 Volume 96 : Issue 46 Today's Editor: Cleve Moler The MathWorks, Inc. moler@mathworks.com Today's Topics: Garrett Birkhoff 2D and 3D FFT Code Wanted Change of Address for Augustin Dubrulle SPAI Preconditioner Code Available ... Contents, Mathematical Commmunications (Croatia) Submissions for NA Digest: Mail to na.digest@na-net.ornl.gov. Information about NA-NET: Mail to na.help@na-net.ornl.gov. URL for the World Wide Web: http://www.netlib.org/na-net/na_home.html Date: Tue, 3 Dec 1996 16:24:35 -0500 Subject: Garrett Birkhoff I learned only from NA Digest of Garrett Birkhoff's death; I had, to be sure, heard earlier that he was not well. It is a loss that means a lot to me. Garrett was formally my thesis director, but we had only sporadic sessions in that relation, and I never really "studied with" him. In reality he was much more important to me than our slight formal contact would imply. This was a long-distance influence. He always had (like his father) a healthy respect for real applications reflected in abstract structures, and a healthy breadth of curiosity, and I

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