ABSTRACT
I. General 60A. Surveys 61B. Collections of original source material 62C. Major journals and article sources 63D. Supplements: reference tools,study guides, forums, etc. 64II. Premodern Mathematics 65A. Overview and general 66B. Egyptian mathematics 66C. Mesopotamian mathematics 67D. Greek mathematics 68E. Indian mathematics 70F. Chinese mathematics 71G. Arabic mathematics 72H. Mathematics in medieval Europe 73III. Modern Mathematics 74A. Renaissance Europe 74B. Early modern Europe and the scientific revolution 75C. Eighteenth-century mathematics 77D. Nineteenth-century mathematics 78E. Twentieth-century mathematics 80IV. Specific Topics 81A. Algebra 81 59
B. Number theoryC. Calculus and analysisD. GeometryE. Differential equations and dynamical systemsF. Probability and statisticsG. Other topicsH. Other cultures, ethnomathematicsI. Mathematics in the United StatesJ. Women in mathematicsK. Biography
8283848586 8687 88 88 898990V. Historiography VI. History and Pedagogy
The history of mathematics is a huge subject, spanning many centuries and many places and including a very wide array of topics. Partly because it requires dual expertise in both history and mathematics, it remains a somewhat understudied subject. Nevertheless, there is a rich literature on the history of mathematics. This literature itself reflects a great variety of approaches, from a strict “history of ideas” point of view that focuses only on how mathematical ideas grew and developed within the field to a broad “ideas in context” point of view that emphasizes the fact that mathematics has always been affected by the cultural, historical, and social contexts in which it was created, studied, and taught. This survey of the literature is necessarily very selective; it emphasizes more recent materials, though older items are mentioned when they remain of special interest. I. GENERAL
The following five books will provide an outline of the whole field, including bibliographical information. The first three survey the whole story of mathematics. The fourth is a collection of elementary articles, and the fifth is a doorway into the historical literature. (Full descriptions and publishing information are given in Sec. I. A.) DJ Struik. A Concise History of Mathematics VJ Katz. A History of Mathematics: An Introduction. 2nd ed. I Grattan-Guinness. The Norton History of the Mathematical Sciences: The Rainbow of Mathematics FJ Swetz, ed. From Five Fingers to Infinity
I Grattan-Guinness, ed. Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences.
