The History of Mathematics: Brief VersionPearson/Addison-Wesley, 2003 - 560 pagine One of the leading historians in the mathematics field, Victor Katz provides a world view of mathematics, balancing ancient, early modern, and modern history. Egypt and Mesopotamia, Greek Mathematics to the Time of Euclid, Greek Mathematics from Archimedes to Ptolemy, Diophantus to Hypatia, Ancient and Medieval China, Ancient and Medieval India, The Mathematics of Islam, Mathematics in Medieval Europe, Mathematics in the Renaissance, Precalculus in the Seventeenth Century, Calculus in the Seventeenth Century, Analysis in the Eighteenth Century, Probability and Statistics in the Eighteenth Century, Algebra and Number Theory in the Eighteenth Century, Geometry in the Eighteenth Century, Algebra and Number Theory in the Nineteenth Century, Analysis in the Nineteenth Century, Statistics in the Nineteenth Century, Geometry in the Nineteenth Century, Aspects of the Twentieth Century For all readers interested in the history of mathematics. |
Sommario
PREFACE Xili | 1 |
CHAPTER TWO Greek Mathematics to the Time of Euclid | 29 |
CHAPTER THREE Greek Mathematics from Archimedes to Ptolemy | 67 |
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algebra algorithm angle Archimedes arithmetic axioms Babylonian basic Book Brahmagupta calculate Cauchy century chapter circle coefficients complex numbers conic sections consider construction cube cubic equation curve defined derived Descartes determine developed diameter Diophantus discussed divided elements equal Euclid Euler example Fermat Fermat's Last Theorem FIGURE finite fluxions follows formula function Gauss geometric Greek Greek mathematics hyperbola ideas infinite integral Islamic Leibniz length linear logarithm mathematicians mathematics method motion multiplied Newton noted parabola parallel postulate permutations perpendicular plane polynomial power series prime probability problem procedure proof proposition proved Ptolemy Pythagorean theorem quadratic equation quadratic residue quantities radius ratio real numbers rectangle represented result rule sexagesimal side sine solution solve sphere straight line subtract symbols tangent theorem theory translated triangle trigonometry variables velocity