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History & Philosophy

Most popular at the top

  • 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...

  • 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...

  • The Thirteen Books of the Elements, Vol. 2by Euclid

    Dover Publications 2012; US$ 18.95

    Volume 2 of 3-volume set containing complete English text of all 13 books of the Elements plus critical analysis of each definition, postulate, and proposition. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; classical, medieval, Renaissance and modern commentators; refutations, supports, extrapolations, reinterpretations... more...

  • 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 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...