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History & Philosophy

Most popular at the top

  • Non-Euclidean Geometryby Roberto Bonola

    Dover Publications 2012; US$ 15.95

    Examines various attempts to prove Euclid's parallel postulate ? by the Greeks, Arabs and Renaissance mathematicians. It considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, others. Includes 181 diagrams. more...

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

    Dover Publications 2013; US$ 45.00

    Concise history of the origin and development of Hindu-Arabic numerals recounts international labors of scholars, assesses the historical testimony, and draws conclusions from the evidence. 1911 edition. 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 École 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

    This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations. more...

  • A Long Way from Euclidby Constance Reid

    Dover Publications 2013; US$ 13.95

    Lively guide by a prominent historian focuses on the role of Euclid's Elements in subsequent mathematical developments. Elementary algebra and plane geometry are sole prerequisites. 80 drawings. 1963 edition. more...

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

    Dover Publications 2012; US$ 15.99

    This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition. more...

  • The Development of Mathematicsby E. T. Bell

    Dover Publications 2012; US$ 24.95

    Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition. 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...

  • Mind Toolsby Rudy Rucker

    Dover Publications 2013; US$ 16.95

    This reader-friendly volume groups the patterns of mathematics into five archetypes: numbers, space, logic, infinity, and information. Rudy Rucker presents an accessible introduction to each of these important areas, reflecting intelligence gathered from the frontiers of mathematical thought. More than 100 drawings illuminate explorations of digital... more...