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History & Philosophy

Most popular at the top

  • Mathematical Papersby George Green; N. M. Ferrers

    Dover Publications 2013; US$ 60.00

    An almost entirely self-taught mathematical genius, George Green (1793 ?1841) is best known for Green's theorem, which is used in almost all computer codes that solve partial differential equations. He also published influential essays, or papers, in the fields of hydrodynamics, electricity, and magnetism. This collection comprises his most significant... more...

  • Contributions to the Founding of the Theory of Transfinite Numbersby Georg Cantor

    Dover Publications 2012; US$ 12.95

    One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc., as well as in the entire field of modern logic. It is rare that a theory of such fundamental mathematical importance is expressed so simply... more...

  • The Origins of Cauchy's Rigorous Calculusby Judith V. Grabiner

    Dover Publications 2012; US$ 15.99

    This text for upper-level undergraduates and graduate students examines the events that led to a 19th-century intellectual revolution: the reinterpretation of the calculus undertaken by Augustin-Louis Cauchy and his peers. These intellectuals transformed the uses of calculus from problem-solving methods into a collection of well-defined theorems... more...

  • A History of Japanese Mathematicsby David E. Smith; Yoshio Mikami

    Dover Publications 2013; US$ 17.95

    One of the first books to show Westerners the nature of Japanese mathematics, this survey highlights the leading features in the development of the wasan, the Japanese system of mathematics. Topics include the use of the soroban, or abacus; the application of sangi, or counting rods, to algebra; the discoveries of the 17th-century sage Seki Kowa;... more...

  • The Works of Archimedesby Archimedes; Sir Thomas Heath

    Dover Publications 2013; US$ 24.95

    The complete works of antiquity's great geometer appear here in a highly accessible English translation by a distinguished scholar. Remarkable for his range of thought and his mastery of treatment, Archimedes addressed such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the measurement of a circle; the... more...

  • Non-Euclidean Geometryby Roberto Bonola

    Dover Publications 2012; US$ 15.95

    This is an excellent historical and mathematical view by a renowned Italian geometer of the geometries that have risen from a rejection of Euclid's parallel postulate. Students, teachers and mathematicians will find here a ready reference source and guide to a field that has now become overwhelmingly important. Non-Euclidean Geometry first examines... more...

  • The Hindu-Arabic Numeralsby David Eugene Smith; Louis Charles Karpinski

    Dover Publications 2013; US$ 45.00

    The numbers that we call Arabic are so familiar throughout Europe and the Americas that it can be difficult to realize that their general acceptance in commercial transactions is a matter of only the last four centuries and they still remain unknown in parts of the world. In this volume, one of the earliest texts to trace the origin and development... more...

  • Lectures on Elementary Mathematicsby Joseph Louis Lagrange

    Dover Publications 2012; US$ 9.99

    One of the eighteenth century's greatest mathematicians, Lagrange made significant contributions to all fields of analysis and number theory. He survived the French Revolution to deliver these lectures in 1795 at the ╔cole Normale, a training school for teachers. An exemplar among elementary expositions, Lagrange's talks feature both originality of... more...

  • The Early Mathematical Manuscripts of Leibnizby G. W. Leibniz; J. M. Child

    Dover Publications 2012; US$ 11.99

    The manuscripts and correspondence of Leibniz possess a special interest: they are invaluable as aids to the study of their author's part in the invention and development of the infinitesimal calculus. In addition, the main ideas behind Leibniz's philosophical theories lay here, in his mathematical work. This volume consists of two sections. The first... more...

  • A Mathematical History of the Golden Numberby Roger Herz-Fischler

    Dover Publications 2013; US$ 17.95

    A comprehensive study of the historic development of division in extreme and mean ratio ("the golden number"), this text traces the concept's development from its first appearance in Euclid's Elements through the 18th century. The coherent but rigorous presentation offers clear explanations of DEMR's historical transmission and features numerous... more...