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History & Philosophy

Most popular at the top

  • A History of Mathematical Notationsby Florian Cajori

    Dover Publications 2013; US$ 34.95

    This classic study notes the first appearance of a mathematical symbol and its origin, the competition it encountered, its spread among writers in different countries, its rise to popularity, its eventual decline or ultimate survival. The author?s coverage of obsolete notations ? and what we can learn from them ? is as comprehensive as those which... more...

  • Mathematics in Ancient Greeceby Tobias Dantzig

    Dover Publications 2012; US$ 12.95

    More than a history of mathematics, this lively book traces mathematical ideas and processes to their sources, stressing the methods used by the masters of the ancient world. Author Tobias Dantzig portrays the human story behind mathematics, showing how flashes of insight in the minds of certain gifted individuals helped mathematics take enormous... 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 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...

  • 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 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...

  • A Source Book in Mathematicsby David Eugene Smith

    Dover Publications 2012; US$ 23.99

    The writings of Newton, Leibniz, Pascal, Riemann, Bernoulli, and others in a comprehensive selection of 125 treatises dating from the Renaissance to the late 19th century ? most unavailable elsewhere. Grouped in five sections: Number; Algebra; Geometry; Probability; and Calculus, Functions, and Quaternions. Includes a biographical-historical introduction... more...