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History & Philosophy

Most popular at the top

  • The Thirteen Books of the Elements, Vol. 1by Euclid

    Dover Publications 2012; US$ 16.95

    Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate, and proposition. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations, and historical notes. Vol.... more...

  • A Short Account of the History of Mathematicsby W. W. Rouse Ball

    Dover Publications 2012; US$ 18.95

    This is a new printing, the first inexpensive one, of one of the most honored histories of mathematics of all time. When the last revised edition appeared in 1908, it was hailed by mathematicians and laymen alike, and it remains one of the clearest, most authoritative, and most accurate works in the field. Mathematicians welcomed it as a lucid... more...

  • 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...

  • 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...

  • 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...

  • 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...