41. British Society For The History Of Mathematics Web resources on the history of mathematics. Selected and annotated by June BarrowGreen (j.e.barrow-green@open.ac.uk). The intention of this page is to give some indication of http://www.dcs.warwick.ac.uk/bshm/resources.html

The British Society for the History of Mathematics Society Events Bulletin ... Resources Web resources on the history of mathematics Selected and annotated by June Barrow-Green (j.e.barrow-green@open.ac.uk). The intention of this page is to give some indication of the kind of material that is available on the web, with a few examples in each case: not to list it exhaustively. Many more sites can be found through viewing the pages of Web Resources listed below. Certain other resources are also maintained on this site: David Singmaster's Mathematical Gazetteer of the British Isles ; a list of the items bequeathed by John Fauvel and held by the Open University Library on behalf of the Society ( by author or by classmark ); a list of books offered for sale to members from the collection of the late Neil Bibby ( html or Excel spreadsheet Contents General sites Web resources NEW LINK! The BSHM / Gresham College lectures and the Gresham College Lecture Archive Biographies Regional mathematics Museums with mathematics exhibits ... Return to the top. General Sites All large sites have a gateway page which gives an indication of the type of resources that are available on other pages of the site. The following are the addresses of the gateways to three of the best known of the general sites on history of mathematics. (Some of the pages on these sites are also included in other sections.)

42. Erdos Summary Biography with links. http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Erdos.html

Click the picture above to see eleven larger pictures posed and solved problems in number theory and other areas and founded the field of discrete mathematics. Full MacTutor biography [Version for printing] List of References (18 books/articles) Some Quotations Mathematicians born in the same country Show birthplace location Additional Material in MacTutor Obituary: The Times Obituary: The New York Times (Click below for those honoured in this way) AMS Cole Prize in Number Theory AMS Cole Prize for number theory BMC plenary speaker LMS Honorary Member ... Popular biographies list Number 88 Other Web sites Encyclopaedia Britannica NNDB Washington Post (Obituary) Oakland Bellevue College USA AMS [registration required] MAA (Obituary in Mathland) Paul Hoffman Zala Films (The film "N is a Number") Mathematical Genealogy Project Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index JOC/EFR © January 2000 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Erdos.html

43. History Of Mathematics Resources On The Web American Mathematical Society's e MATH (http//e-math.ams.org/) The American Mathematical Society's resource for delivering electronic products and services to mathematicians http://library.humboldt.edu/~chadwick/mathhist.html

History of Mathematics Resources on the Web American Mathematical Society's e- MATH (http://e-math.ams.org/) The American Mathematical Society's resource for delivering electronic products and services to mathematicians now has electronic versions of all primary AMS journals with full-text searching across all journals beginning January 1996 articles may be downloaded in a variety of formats you may also get a demo of MathSciNet, the online version of "Mathematical Reviews," which is now available at HSU. Biographies of Women Mathematicians (http://www.scottlan.edu/lriddle/women/women.htm) Part of an ongoing project by students in mathematics classes at Agnes Scott College. British Society for the History of Mathematics (http://www.dcs.warwick.ac.uk/bshm/) Its goals are to "promote research into the history of mathematics and its use at all levels of mathematics education." Has a link to the Society's file of brief abstracts of papers published in books and journals since 1991. Canadian Society for the History and Philosophy of Mathematics (http://www.kingsu.ab.ca/~glen/cshpm/home.htm)

44. Abstract Linear Spaces From the History of Mathematics project. http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Abstract_linear_spaces.ht

Abstract linear spaces Algebra index History Topics Index Version for printing Cartesian geometry, introduced by Fermat and Descartes around 1636, had a very large influence on mathematics bringing algebraic methods into geometry. By the middle of the 19 th Century however there was some dissatisfaction with these coordinate methods and people began to search for direct methods, i.e. methods of synthetic geometry which were coordinate free. It is possible however to trace the beginning of the vector concept back to the beginning of the 19 th Century with the work of Bolzano . In 1804 he published a work on the foundations of elementary geometry Bolzano , in this book, considers points, lines and planes as undefined elements and defines operations on them. This is an important step in the axiomatisation of geometry and an early move towards the necessary abstraction for the concept of a linear space to arise. The move away from coordinate geometry was mainly due to the work of Poncelet and Chasles who were the founders of synthetic geometry. The parallel development in analysis was to move from spaces of concrete objects such as sequence spaces towards abstract linear spaces. Instead of substitutions defined by matrices, abstract linear operators must be defined on abstract linear spaces. In 1827 published Der barycentrische Calcul a geometrical book which studies transformations of lines and conics. The novel feature of this work is the introduction of barycentric coordinates. Given any triangle

45. MathWeb History Sites Resources for the History of Mathematics from Clark University Web resources; Regional mathematics; Subjects; Books and other resources; Chronology; Timelines. http://www.ams.org/mathweb/mi-mathhist.html

History of Mathematics [Links verified 04FEB99 by pjl] Sites Resources for the History of Mathematics from Clark University Web resources; Regional mathematics; Subjects; Books and other resources; Chronology; Timelines. Canadian Society for the History and Philosophy of Mathematics The Canadian Society for the History and Philosophy of Mathematics, founded in 1974, promotes research and teaching in the history and philosophy of mathematics. To this end the Society engages in a number of activities: CSHPM Bulletin; An Annual Meeting, held every May/June with the Canadian Learned Societies; its WWW site; History and Pedagogy of Mathematics Newsletter; Two official journals, Historia Mathematica and Philosophia Mathematica. Links to CSHPM Services; Links to Sites Related to the History and Philosophy of Mathematics. Bibliography of Collected Works of Mathematicians By Steven W. Rockey, Mathematics Library, Cornell University Archiving AMSMAA Joint Archives Committee Mission Membership Activities ... "Why Archive?" (previously published in FOCUS and Notices of the AMS.) Comments: webmaster@ams.org

46. Cantelli Summary A biography from the MacTutor History of Mathematics http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Cantelli.html

Francesco Paolo Cantelli Click the picture above to see a larger version Francesco Cantelli was an Italian mathematician who made contributions to the theory of probability. Full MacTutor biography [Version for printing] List of References (9 books/articles) Mathematicians born in the same country Show birthplace location Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index JOC/EFR © August 2006 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Cantelli.html

47. History Of Mathematics A Brief History of Mathematics. People seem compelled to organize. They also have a practical need to count certain things cattle, cornstalks, and so on. http://fclass.vaniercollege.qc.ca/web/mathematics/about/history.htm

Back A Brief History of Mathematics People seem compelled to organize. They also have a practical need to count certain things: cattle, cornstalks, and so on. There is the need to deal with simple geometrical situations in providing shelter and dealing with land. Once some form of writing is added into the mix, mathematics cannot be far behind. It might even be said that the symbolic approach precedes and leads to the invention of writing. Archaeologists, anthropologists, linguists and others studying early societies have found that number ideas evolve slowly. There will typically be a different word or symbol for two people, two birds, or two stones. Only slowly does the idea of 'two' become independent from the things that there are two of. Similarly, of course, for other numbers. In fact, specific numbers beyond three are unknown in some lesser developed languages. A bit of this usage hangs on in our modern English when we speak, for example, of a flock of geese, but a school of fish. The Maya, the Chinese, the Civilization of the Indus Valley, the Egyptians, and the region of Mesopotamia between the Tigris and Euphrates rivers all had developed impressive bodies of mathematical knowledge by the dawn of their written histories. In each case, what we know of their mathematics comes from a combination of archaeology, the references of later writers, and their own written record. Mathematical documents from Ancient Egypt date back to 1900 B.C. The practical need to redraw field boundaries after the annual flooding of the Nile, and the fact that there was a small leisure class with time to think, helped to create a problem oriented, practical mathematics. A base-ten numeration system was able to handle positive whole numbers and some fractions. Algebra was developed only far enough to solve linear equations and, of course, calculate the volume of a pyramid. It is thought that only special cases of The Pythagorean Theorem were known; ropes knotted in the ratio 3:4:5 may have been used to construct right angles.

48. Caratheodory Summary A biography from the MacTutor History of Mathematics. http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Caratheodory.html

Click the picture above to see three larger pictures made significant contributions to the calculus of variations, the theory of point set measure, and the theory of functions of a real variable. Full MacTutor biography [Version for printing] List of References (11 books/articles) Mathematicians born in the same country Show birthplace location Additional Material in MacTutor G H Hardy's schedule of lectures in the USA (Click below for those honoured in this way) Speaker at International Congress Other Web sites Encyclopaedia Britannica Mathematical Genealogy Project Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index JOC/EFR © November 2004 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Caratheodory.html

49. History Of Mathematics Summary | BookRags.com History of Mathematics. History of Mathematics summary with 3 pages of encyclopedia entries, research information, and more. http://www.bookrags.com/research/history-of-mathematics-wom/

50. Doob Summary A biography from the MacTutor History of Mathematics http://www-history.mcs.st-and.ac.uk/history//Mathematicians/Doob.html

Joseph Leo Doob Click the picture above to see five larger pictures Full MacTutor biography [Version for printing] List of References (4 books/articles) A Quotation Mathematicians born in the same country Show birthplace location Honours awarded to Joseph Doob (Click below for those honoured in this way) AMS Colloquium Lecturer American Maths Society President AMS Steele Prize RSS Honorary Fellowships Other Web sites Dartmouth (a conversation with Doob) Mathematical Genealogy Project Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index JOC/EFR © June 2004 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Doob.html

51. History Of Mathematics | Mathematical Institute - University Of Oxford Welcome to the History of Mathematics web page. History of Mathematics is a multidisciplinary subject with a strong presence in Oxford. This page details some of the group's links http://www.maths.ox.ac.uk/groups/history-of-mathematics

History of Mathematics History of Mathematics Welcome to the History of Mathematics web page. History of Mathematics is a multidisciplinary subject with a strong presence in Oxford. This page details some of the group's links and activities. Historians of mathematics in Oxford Inside the Mathematical Institute ... Jackie Stedall – mathematics of the 16th to 18th centuries, history of algebra Keith Hannabuss – 19th-century mathematics Chris Hollings – history of the algebraic theory of semigroups Peter Neumann – history of algebra, especially of the 19th and 20th centuries ... and others in Oxford with an active interest in history of mathematics Philip Beeley (Linacre) – correspondence of John Wallis Ella Kaye (Education) – history of mathematics in secondary education Raymond Flood (Kellogg) – Irish mathematics Stephen Johnston (Museum of History of Science) – mathematical instruments Eleanor Robson (All Souls) – mathematics of the ancient Middle East Mark Thakkar (Balliol) – mathematics in medieval theology Benjamin Wardhaugh (All Souls) – social history of mathematics in early modern England Robin Wilson (Pembroke) – 19th-century mathematics Two major Oxford projects also have a significant mathematical component: The Wallis Project Cultures of Knowledge Beyond Oxford Beyond Oxford the group has close connections to: British Society for the History of Mathematics Department of History and Philosophy of Science, Cambridge

52. Dynkin Summary A biography from the MacTutor History of Mathematics http://www-history.mcs.st-and.ac.uk/history//Mathematicians/Dynkin.html

Eugene Borisovich Dynkin Click the picture above to see three larger pictures Full MacTutor biography [Version for printing] List of References (7 books/articles) Mathematicians born in the same country Show birthplace location Honours awarded to Evgenii B Dynkin (Click below for those honoured in this way) Speaker at International Congress AMS Steele Prize Other Web sites Mathematical Genealogy Project Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index JOC/EFR © September 2009 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Dynkin.html

53. History Topics Index Overview of the history of mathematics. Algebra. Analysis. Numbers and number theory. Geometry and topology. Mathematical physics. Mathematical astronomy http://www-groups.dcs.st-and.ac.uk/~history/Indexes/HistoryTopics.html

History Topics Index The links below will take you to individual articles or to index pages for articles on these topics. Mathematics in various cultures Ancient Babylonian mathematics Ancient Egyptian mathematics Ancient Greek mathematics Arabic mathematics ... Mathematics in Scotland Mathematical topics Overview of the history of mathematics Algebra Analysis Numbers and number theory ... FULL ALPHABETICAL LIST OF HISTORY TOPICS Enter a word or phrase: History Topics Index Alphabetical History Topics Index Main index Biographies index ... Search Form JOC/EFR April 2008 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Indexes/HistoryTopics.html

54. Fatou Summary A biography from the MacTutor History of Mathematics http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Fatou.html

Pierre Joseph Louis Fatou Click the picture above to see a larger version Full MacTutor biography [Version for printing] List of References (5 books/articles) Mathematicians born in the same country Show birthplace location Other Web sites Mathematical Genealogy Project Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index JOC/EFR © May 2000 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Fatou.html

55. CALCULUS Here is a list of some of the best books and most reliable web sites containing information on the history of mathematics and, in particular, the history of calculus. http://www.stewartcalculus.com/media/1_inside_history.php

CALCULUS Author's Welcome About the Author HOME CHAPTERS ... Lies My Calculator... History of Math... Challenge Problems History of Mathematics Here is a list of some of the best books and most reliable web sites containing information on the history of mathematics and, in particular, the history of calculus. Bear in mind that books are edited and reviewed, whereas web sites are not subject to professional scrutiny and so their accuracy is not guaranteed. Books Carl Boyer, The History of the Calculus and Its Conceptual Development (New York: Dover, 1959). Carl Boyer and Uta Merzbach, A History of Mathematics (New York: Wiley, 1987). C.H. Edwards, The Historical Development of the Calculus (New York: Springer-Verlag, 1979). Howard Eves, An Introduction to the History of Mathematics, 6th ed. (New York: Saunders, 1990). C.C. Gillispie, ed., Dictionary of Scientific Biography (New York: Scribner's, 1974). Judith V. Grabiner, The Origins of Cauchy's Rigorous Calculus (Cambridge, MA: The MIT Press, 1981). Victor Katz, A History of Mathematics: An Introduction (New York: HarperCollins, 1993).

56. Feller Summary A biography from the MacTutor History of Mathematics http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Feller.html

William Feller Click the picture above to see three larger pictures Full MacTutor biography [Version for printing] List of References (6 books/articles) Some Quotations Mathematicians born in the same country Show birthplace location Honours awarded to William Feller (Click below for those honoured in this way) Speaker at International Congress Hedrick lecturer Other Web sites D Zubrinic Gian-Carlo Rota Mathematical Genealogy Project Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index JOC/EFR © August 2005 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Feller.html

57. Fubini Summary A biography from the MacTutor History of Mathematics http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Fubini.html

Guido Fubini Click the picture above to see two larger pictures Full MacTutor biography [Version for printing] List of References (13 books/articles) Mathematicians born in the same country Show birthplace location Other Web sites Mathematical Genealogy Project Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index JOC/EFR © December 1997 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Fubini.html

58. History Of Mathematics History of Mathematics. Here is a list of some of the best books and most reliable web sites containing information on the history of mathematics and, in particular, the history of http://www.brookscole.com/math_d/templates/student_resources/AdditionalTopics/hi

History of Mathematics Here is a list of some of the best books and most reliable web sites containing information on the history of mathematics and, in particular, the history of calculus. Bear in mind that books are edited and reviewed, whereas web sites are not subject to professional scrutiny and so their accuracy is not guaranteed. Books Carl Boyer, The History of the Calculus and Its Conceptual Development (New York: Dover, 1959). Carl Boyer and Uta Merzbach, A History of Mathematics (New York: Wiley, 1987). C.H. Edwards, The Historical Development of the Calculus (New York: Springer-Verlag, 1979). Howard Eves, An Introduction to the History of Mathematics , 6th ed. (New York: Saunders, 1990). C.C. Gillispie, ed., Dictionary of Scientific Biography (New York: Scribner's, 1974). Judith V. Grabiner, The Origins of Cauchy's Rigorous Calculus (Cambridge, MA: The MIT Press, 1981). Victor Katz, A History of Mathematics: An Introduction (New York: HarperCollins, 1993). Morris Kline, Mathematical Thought from Ancient to Modern Times (New York: Oxford University Press, 1972).

59. Ito Summary A biography from the MacTutor History of Mathematics http://turnbull.dcs.st-and.ac.uk/history/Mathematicians/Ito.html

Kiyosi Ito Click the picture above to see two larger pictures Full MacTutor biography [Version for printing] List of References (5 books/articles) Mathematicians born in the same country Additional Material in MacTutor Obituary: The Times Obituary: The New York Times Honours awarded to Kiyosi Ito (Click below for those honoured in this way) Wolf Prize DMV/IMU Gauss Prize Other Web sites Mathematical Genealogy Project Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index JOC/EFR © September 2001 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Ito.html

60. Kolmogorov Summary A biography from the MacTutor History of Mathematics http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Kolmogorov.html

Andrey Nikolaevich Kolmogorov Click the picture above to see eight larger pictures Kolmogorov was one of the developers of probability theory. He later used this work to study the motion of the planets and the turbulent flow of air from a jet engine. Full MacTutor biography [Version for printing] List of References (20 books/articles) A Quotation Mathematicians born in the same country Show birthplace location Honours awarded to Andrey Kolmogorov (Click below for those honoured in this way) Speaker at International Congress LMS Honorary Member Fellow of the Royal Society Wolf Prize Other Web sites Encyclopaedia Britannica Astroseti (A Spanish translation of this biography) Kolmogorov Centennial Web site CWI Netherlands D E Cameron (more pictures) Kolmogorov School web site (Russian) Mathematical Genealogy Project Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index JOC/EFR © January 1999 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Kolmogorov.html

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