The Geometry of René Descartes: with a Facsimile of the First Edition

René Descartes

Sep 2012 · Courier Corporation

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This is an unabridged republication of the definitive English translation of one of the very greatest classics of science. Originally published in 1637, it has been characterized as "the greatest single step ever made in the progress of the exact sciences" (John Stuart Mill); as a book which "remade geometry and made modern geometry possible" (Eric Temple Bell). It "revolutionized the entire conception of the object of mathematical science" (J. Hadamard).With this volume Descartes founded modern analytical geometry. Reducing geometry to algebra and analysis and, conversely, showing that analysis may be translated into geometry, it opened the way for modern mathematics. Descartes was the first to classify curves systematically and to demonstrate algebraic solution of geometric curves. His geometric interpretation of negative quantities led to later concepts of continuity and the theory of function. The third book contains important contributions to the theory of equations.This edition contains the entire definitive Smith-Latham translation of Descartes' three books: Problems the Construction of which Requires Only Straight Lines and Circles; On the Nature of Curved Lines; and On the Construction of Solid and Supersolid Problems. Interleaved page by page with the translation is a complete facsimile of the 1637 French text, together with all Descartes' original illustrations; 248 footnotes explain the text and add further bibliography.

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Best known for the quote from his Meditations de prima philosophia, or Meditations on First Philosophy (1641), "I think therefore I am," philosopher and mathematician Rene Descartes also devoted much of his time to the studies of medicine, anatomy and meteorology. Part of his Discourse on the Method for Rightly Conducting One's Reason and Searching for the Truth in the Sciences (1637) became the foundation for analytic geometry. Descartes is also credited with designing a machine to grind hyperbolic lenses, as part of his interest in optics. Rene Descartes was born in 1596 in La Haye, France. He began his schooling at a Jesuit college before going to Paris to study mathematics and to Poitiers in 1616 to study law. He served in both the Dutch and Bavarian military and settled in Holland in 1629. In 1649, he moved to Stockholm to be a philosophy tutor to Queen Christina of Sweden. He died there in 1650. Because of his general fame and philosophic study of the existence of God, some devout Catholics, thinking he would be canonized a saint, collected relics from his body as it was being transported to France for burial.