A History of Mathematics
"Boyer and Merzbach distill thousands of years of mathematics into this fascinating chronicle. From the Greeks to Godel, the mathematics is brilliant; the cast of characters is distinguished; the ebb and flow of ideas is everywhere evident. And, while tracing the development of European mathematics, the authors do not overlook the contributions of Chinese, Indian, and Arabic civilizations. Without doubt, this is––and will long remain––a classic one–volume history of mathematics and mathematicians who create it." ––William Dunham Author, Journey Through Genius, The Great Theorems of Mathematics "When we read a book like A History of Mathematics, we get the picture of a mounting structure, ever taller and broader and more beautiful and magnificent––and with a foundation, moreover, that is as untainted and as functional now as it was when Thales worked out the first geometrical theorems nearly 26 centuries ago." ––From the Foreword by Isaac Asimov "One of the most useful and comprehensive general introductions to the subject." ––J. W. Dauben The City University of New York "Both readable and scholarly, this book can serve as a fine introduction to the topic and also a reference book." ––J. David Bolter University of North Carolina Author of Turing′s Man Revised to make it more accessible to a general audience, A History of Mathematics paints a vivid picture of humankind′s relationship with numbers. Updated and expanded, it now offers broadened coverage of twentieth century advances in probability and computers, and updated references to further reading. A feature that will be of interest to every reader is an appendix containing an extensive chronological table of mathematical and general historical developments.
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al-Khwarizmi Alexandria algebra analytic geometry ancient angle Apollonius appeared Arabic Archimedean Archimedes Archytas arithmetic Arithmetica astronomy Babylonian Bernoulli Book Brahmagupta calculus century B.C. chord circle cone conic sections construction coordinates cube cubic equation curve cycloid decimal Descartes diameter Diophantus discovery earlier Egyptian Elements ellipse equal equivalent Euclid Eudoxus Euler example Fermat formula fractions function Galileo geometric algebra given Greek mathematics hence Hindu Hipparchus history of mathematics hyperbola infinite inscribed integers intersection known later Latin Leibniz line segment locus logarithms magnitudes math mathematicians medieval method modern multiplied Newton notation Oresme Pappus parabola Pascal perpendicular plane Plato polygon problem proof Proposition Ptolemy published Pythagoras Pythagorean quadratic equations quadrature radius ratio rectangle Regiomontanus result roots scholars sexagesimal sides similar solid solution sphere square straight line symbols tangent Thales theorem theory of numbers translation treatise trigonometry trisection unit fractions Viete Wallis wrote