A history of mathematics
Presupposes a knowledge of college level mathematics but is accessible to the average reader through its consistent treatment of mathematical structure with a strict adherence to historical perspective and detail. The material is arranged chronologically beginning with archaic origins and covers Egyptian, Mesopotamian, Greek, Chinese, Indian, Arabic and European contributions done to the nineteenth century and present day. There are revised references and bibliographies and revised and expanded chapters on the nineteeth and twentieth centuries.
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Ionia and the Pythagoreans
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Alexandria algebra analysis analytic geometry ancient angle Apollonius appeared Arabic Archimedean Archimedes Archytas arithmetic Arithmetica astronomy Babylonian Bernoulli Book Brahmagupta calculus Cauchy century B.C. chord circle cone conic sections construction coordinates cube cubic curve decimal Descartes diameter Diophantus discovery earlier Egyptian Elements ellipse equal equation equivalent Euclid Euclid's Elements Eudoxus Euler example Fermat formula fractions function Gauss given Greek mathematics hence Hindu History of Mathematics hyperbola infinite inscribed integral known later Leibniz line segment logarithms magnitudes mathe mathematicians Mathematik method modern Monge multiplication Newton notation Pappus parabola plane Plato polygon problem proof propositions Ptolemy published Pythagoras Pythagorean Pythagorean theorem quadratic quadrature radius ratio real number rectangle Regiomontanus result roots Science sexagesimal showed sides solution solved sphere square straight line symbols T. L. Heath tangent Thales theorem theory of numbers tion treatise trigonometry unit fractions vols York