Research Paper On History Of Mathematics
History of Mathematics is a multidisciplinary subject with a strong presence in Oxford, spread across a number of departments, most notably the Mathematical Institute and the History Faculty. The research interests of the members of the group cover mathematics, its cultures and its impacts on culture from the Renaissance right up to the twentieth century.
Core research topics include the place of mathematics in the transformation of intellectual culture during the early modern period (Philip Beeley, Yelda Nasifoglu, Benjamin Wardhaugh), the development of abstract algebra during the nineteenth and twentieth centuries (Christopher Hollings, Peter Neumann), and the effects of twentiethcentury politics on the pursuit of mathematics (Hollings). The group has a strong background in the mathematics of seventeenthcentury Europe, with studies of, for example, the correspondence of the seventeenthcentury Savilian Professor of Geometry John Wallis and of the mathematical intelligencer John Collins (Beeley). The current 'Reading Euclid' project seeks to understand the place of Euclid's Elements within early modern British culture and education (Beeley, Nasifoglu, Wardhaugh). In recent years, members of the group have also been involved in efforts to provide the first sober assessment of the mathematical education and abilities of Ada Lovelace (Hollings, Ursula Martin) and the first biography of pit ladturnedmathematics professor Charles Hutton (Wardhaugh).
Current students within the group are Liu Xi (history of differential geometry), Kevin Baker (the first readers of Newton’s Principia), and Johann Gaebler (the intellectual contexts for the reception of the calculus).
Others in Oxford with interests in the history of mathematics include Howard Emmens (history of group theory), Raymond Flood (Irish mathematics), Keith Hannabuss (nineteenthcentury mathematics), Daniel Isaacson (the rise of modern logic, 1879–1931), Rob Iliffe (Newton and Newtonianism), Stephen Johnston (early modern practical mathematics and instruments), Matthew Landrus (Renaissance mathematics and the arts), Robin Wilson (nineteenthcentury mathematics, and the history of combinatorics).
Some case studies of research carried out by members of the group may be found here, here, and here.
Seminars
The group holds a semiregular departmental seminar, as well as an annual series of general lectures entitled 'What do historians of mathematics do?', held in Trinity Term. Members of the group also organise a seminar in ‘the History of the Exact Sciences’ during Hilary Term (the programme for Hilary Term 2018 may be found here, with abstracts here) and a research workshop in early modern mathematics each December. These events are complemented by Oxford’s wide range of activity in history of science, technology and medicine more generally.
Undergraduate study
Within the Mathematical Institute, the group offers the following undergraduate teaching:
Postgraduate study
The group welcomes applications for postgraduate study, which would be based either in the Mathematical Institute or the History Faculty, depending on the interests and background of the applicant. Avenues for study include the MSc or MPhil in History of Science, Medicine and Technology, or a DPhil in the History of Mathematics. Prospective applicants are encouraged to contact either Dr Christopher Hollings (Mathematical Institute) or Dr Benjamin Wardhaugh (History Faculty) to discuss options.
See also
British Society for the History of Mathematics

 Abacus in Various Number Systems
 The Abacus: The Art of Calculating with Beads
History, tutorial, interactive pages  African Mathematical Union  Commission on the History of Mathematics in Africa (AMUCHMA)
ADD. KEYWORDS: Newsletter  AMS's Materials Organized by Mathematical Subject Classification
Electronic Journals, Preprints, Web Sites, Databases  AMSMAA Joint Archives Committee
Lists of Collections of Papers  Archimedes
Archimedian Solids, Pappus, Cattle Problem, Maple  Archimedes and the Computation of Pi
 The Art of Algebra from alKhwarizmi to Vi�te: A Study in the Natural Selection of Ideas
alKhwarizmi, Diophantus of Alexandria, Cardano, Bombelli, Viète, abuKamil, alKaraji, Fibonacci, Maestro Benedetto, Bibliography, History  A Bibliography of Collected Works and Correspondence of Mathematicians
SOURCE: Steven W. Rockey, Cornell University  Biographies of Women Mathematicians
 Le Boulier Chinois (French)
History, Techniques, Bibliography, Lesson Plans  A Brief History of Algebra and Computing: An Eclectic Oxonian View
Early English Algebra, Algebra and Analytical Engines, Boolean Algebra, Turing, Algebra of Programs  A Chronology of Recreational Mathemtics
 A Completely Inadequate Bibliography of the History of Mathematics
 Convergence – MAA's online magazine on the history of mathematics and its use in teaching
History of Mathematics, Articles, Book Reviews, Teaching Materials, Quotations, Calendar of Events, Problems  Counting to Infinity
John Wallis, Zeno of Elea, Georg Cantor  A description of the admirable table of logarithms by J. Napier (1616)
ADD. KEYWORDS: Copy of book
SOURCE: Department of Mathematics, University of Nijmegen  DOCUMENTA MATHEMATICA  Extra Volume ICM 1998  Section: 19. History of Mathematics
Articles
DOCUMENTA MATHEMATICA, Proceedings of the International Congress of Mathematicians
Postscript and DVI readers  Earliest Known Uses of Some of the Words of Mathematics
 Earliest Uses of Various Mathematical Symbols
 Elementary Problems and Chinese Mathematics
 Emmy Noether, Mentors & Colleagues
 Ethnomathematics
 Ethnomathematics on the Web
ADD. KEYWORDS: African mathematics, Native American mathematics, Math in European artifacts, Pacific Islander mathematics, African American mathematics, Latino mathematics, Asian mathematics, Middle Eastern mathematics, Mathematics and gender, Mathematics and economic class, Multicultural mathematics
SOURCE: Ron Eglash and International Study Group on Ethnomathematics  The Euler Project
Translations of articles, Opera Omnia, Riemann Zeta function, Series, Probability, Number Theory
Ed Sandifer, Western Connecticut State University  Fibonacci  his rabbits and his numbers and Kepler
ADD. KEYWORDS: History, The Golden Sectio  Aureo Section, Properties, Generating function for the Fibonacci numbers, Binet formula
SOURCE: Keith Tognetti, University of Wollongong
TECHNOLOGY: Adobe PDF Reader  Fibonacci NumberTheorists
 Fields Medal
 Front for the XXX Mathematics Archive  History and Overview
Preprints  The Geometry of War, 15001750
Museum exhibition, Gunnery, Rangefinding and Surveying, and Fortification, Troop Formations and the Telescope, Bibliography  George Green Homepage
ADD. KEYWORDS: Dates outlining Green's life and posthumous history, Biographical notes, Papers, References, Archival material, Bicentenary Celebrations of Green's birth
SOURCE: L. A. Wightman, M. J. Carter  Great Polish Mathematicians
ADD. KEYWORDS: Warsaw School of Mathematics, Lvov School of Mathematics, Cracow School of Mathematics, Short biographies
SOURCE: Institute of Mathematics, Polish Academy of Sciences  Greek Mathematics and its Modern Heirs
Euclid, Archimedes, Piero della Francesca  Hall of Great Mathematicians
Biographies  Henry Perigal's Monument
Greg N. Frederickson, Purdue University  Historia Matematica
Listserv  Historia Matematica  Archives
Archives of Listserv  Historia Mathematica
Published Journal  History of Approximation Theory (HAT)
ADD. KEYWORDS: People, Articles, Historical Papers
SOURCE: Allan Pinkus and Carl de Boor  History of Compactness
 A History Of Equality
ADD. KEYWORDS: Robert Recorde, René Descartes, Recorde's symbol for equality, Competing symbols, Descartes' symbol for equality
SOURCE: Andrew E. Young  History of Mathematics, David Joyce
Regional, Bibliographies, Timelines, Hypermedia Exhibits, Books and Articles OnLine, Societies, Newsgroups  History of Mathematics, Simon Fraser University
ADD. KEYWORDS: Class Projects, Ahmes, Ancient Egyptian Fractions, Remainder Problem, Jiuzhang Suanshu, Jia Xian, Qin Jiushao, The TaYen Rule, Counting Board Simulator, Aryabhata, Brahmagupta, Bhaskara, Blaise Pascal, Euclid, Ada Byron King, The Countess of Lovelace
Emy Noether, Alan Turing, Sundials, Calendars
SOURCE: J. L. Berggren, Simon Fraser University  History of Mathematics, Trinity College, Dublin
Rouse Ball Biographies, George Berkeley, Sir William Rowan Hamilton, George Boole, Sir Isaac Newton  History of Mathematics
Collection of articles, Zeno's Paradox of Motion, Archimedes and the Square Root of 3, Bertleson's Number, Euclid's Plan and Proposition 6, Legendre's Prime Number Conjecture, Mayan Numeration, The Dullness of 1729, The Helen of Mathematics, Berkeley and the Infidel, Newton's Birth Date and the Anni Mirabiles, etc.
SOURCE: K. S. Brown  History of Mathematics at USMA
 History of Mathematics Sources on the World Wide Web
Teaching Resources, Course Efforts, Site Reviews  Hypatia of Alexandria
Bibliography, Sources, Books  INCUNABULA, HEBRAICA & JUDAICA  Mathematics and the Sciences
List of Tracts, Joseph Solomon Delmedigo  Index of Ancient Greek Mathematicians and Astronomers
 Internet Encyclopedia of Philosophy  Jules Henri Poincar�
Biography, Chaos and the solar system, Arithmetic, intuition and logic, Philosophy of Geometry  The Jahrbuchproject Electronic Research Archive for Mathematics (ERAM)
Database of the "Jahrbuch �ber die Fortschritte der Mathematik", Archive of the most important mathematical publications of the period 1868 1943.  The Journey of the Four Colour Theorem Through Time
ADD. KEYWORDS: Article, History,Philosophical implications
SOURCE: Andreea S. Calude, University of Auckland and Mathematics Olympiad Learning Centre
TECHNOLOGY: Adobe Acrobat Reader  Legacy of R. L. Moore Project
Biography, Discovery Learning, Moore Method, Conference, Readings, Pictures  MacTutor History of Mathematics
Chronologies  Marin Mersenne
ADD. KEYWORDS: Biographies, Mersenne Numbers and Mersenne Primes, Great Internet Mersenne Prime Search  GIMPS
SOURCE: Luke Welsh  Materials for the History of Statistics
ADD. KEYWORDS: Classic papers, Portraits, J. Aubrey, T. Bayes, A. De Moivre, P. Fermat, G. Galilei, F. Galton, W. Gosset, E. Halley, C. Huygens, P. Laplace, A. Legendre, B. Pascal, A. Quetelet, T. Simpson, J. de Witt
SOURCE: Peter M Lee, University of York
TECHNOLOGY: Postscript reader  Mathematical Connections
Journal, Mathematics and the Humanities  Mathematical Problems  Lecture Delivered Before the International Congress of Mathematicians at Paris in 1900. (by Professor David Hilbert)
 Mathematicians of the African Diaspora
People, The Ancients, Profiles of Black Mathematicians, The MorganPotsdam Model, Bibliography  Mathematics Genealogy Project
Ph.D. Students, Ph.D. Advisers  Mathographies
Biographies of Mathematicians, Maria Agnesi, Archimedes, Tartaglia, David Blackwell, Jerome Cardano, AugustinLouis Cauchy, Ren� Descartes, Perci Diaconis, Paul Erd�s, Leonard Euler, Charles Fefferman, Evariste Galois, Paul Halmos, Edwin Hewitt, John Kemeny, Sonya Kovalevsky, Gottfried Wilhelm Leibniz, Issac Newton, Emmy Noether, Julia Robinson, Mary Ellen Rudin, Jean Taylor, John von Neumann, Karl Weierstrass  Mathworld  History and Terminology
Definitions, List of Theorems  Mesopotamian Mathematics
History, Chronology, Tokens, Sumerian metrological numeration systems, Old Babylonian multiplication tables, Weights and measures, Bibliography  Network for the History and Philosophy of Mathematics
Conferences, Publications  Newtonia
Bibliography, Isaac Newton, Biography  ORESME Home Page  Ohio River Explorers of Sources in Mathematical Exposition
Felix Klein's Erlanger Programme, Helge von Koch's snowflake  An Outline of the History of Game Theory
Timeline, Bibliography  Randomness in Arithmetic and the Decline & Fall of Reductionism in Pure Mathematics
Lecture, Hilbert, Formal Axiomatic System, Decision Problem, G�del, Turing and Cantor's Diagonal Argument, Computable Reals, Borel, Normal Real Numbers  SANGAKU  Japanese Temple Geometry Problem
 SCIAMVS Sources and Commentaries in Exact Sciences
Printed Journal  A Sideways Look at Hilbert's Twentythree Problems of 1900
ADD. KEYWORDS: Article, David Hilbert
SOURCE: Ivor GrattanGuinness and Notices of the AMS
TECHNOLOGY: Adobe Acrobat Reader  Some Famous Mathematicians
Biography  Teaching With Original Historical Sources in Mathematics
Class Materials, Books, Articles, Bibliography  Thoughts on Ancient Egyptian Mathematics
ADD. KEYWORDS: Article
SOURCE: Kim R. W. Zahrt, IUSB Undergraduate Research Journal  Women's contribution to Mathematics
ADD. KEYWORDS: Bibliography, Books written by women
SOURCE: Mara Neusel and European Women in Mathematics
TECHNOLOGY: Postscript reader
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