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History & Philosophy

Most popular at the top

  • 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...

  • A Long Way from Euclidby Constance Reid

    Dover Publications 2013; US$ 13.95

    Mathematics has come a long way indeed in the last 2,000 years, and this guide to modern mathematics traces the fascinating path from Euclid's Elements to contemporary concepts. No background beyond elementary algebra and plane geometry is necessary to understand and appreciate author Constance Reid's simple, direct explanations of the arithmetic... more...

  • The Development of Mathematicsby E. T. Bell

    Dover Publications 2012; US$ 24.95

    "This important book . . . presents a broad account of the part played by mathematics in the evolution of civilization, describing clearly the main principles, methods, and theories of mathematics that have survived from about 4000 BC to 1940."? Booklist In this time-honored study, one of the 20th century's foremost scholars and interpreters of... more...

  • Philosophy of Mathematics and Deductive Structure in Euclid's Elementsby Ian Mueller

    Dover Publications 2013; US$ 24.95

    A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics. It offers a well-rounded perspective, examining similarities to modern views as well as differences. Rather than focusing strictly on historical and mathematical issues, the book examines philosophical, foundational, and logical questions.... more...