A History of MathematicsA History of Mathematics
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Book, 1991
Current format, Book, 1991, 2nd ed. rev., Available .Book, 1991
Current format, Book, 1991, 2nd ed. rev., Available . Offered in 0 more formatsOrigins -- Egypt -- Mesopotamia -- Ionia and the Pythagoreans -- Heroic age -- Age of Plato and Aristotle -- Euclid of Alexandria -- Archimedes of Syracuse -- Apollonius of Perga -- Greek trigonometry and mensuration -- Revival and decline of Greek mathematics -- China and India -- Arabic hegemony -- Europe in the Middle Ages -- Renaissance -- Prelude to modern mathematics -- Time of Fermat and Descartes -- Transitional period -- Newton and Leibniz -- Bernoulli era -- Age of Euler -- Mathematicians of the French Revolution -- Time of Gauss and Cauchy -- Geometry -- Analysis -- Algebra -- Poincare and Hilbert -- Aspects of the twentieth century -- References -- General bibliography -- Appendix: Chronological table -- Index. 1. Origins -- The concept of number -- Early number bases -- Number language and the origin of counting -- Origin of geometry -- 2. Egypt -- Early records -- Hieroglyphic notation -- Ahmes papyrus -- Unit fractions -- Arithmetic operations -- Algebraic problems -- Geometric problems -- A trigonometric ratio -- Moscow papyrus -- Mathematical weaknesses -- 3. Mesopotamia -- Cuneiform records -- Positional numeration -- Sexagesimal fractions -- Fundamental operations -- Algebraic problems -- Quadratic equations -- Cubic equations -- Pythagorean triads -- Polygonal areas -- Geometry as applied arithmetic -- Mathematical weaknesses -- 4. Ionia and the Pythagoreans -- Greek origins -- Thales of Miletus -- Pythagoras of Samos -- The Pythagorean pentagram -- Number mysticism -- Arithmetic and cosmology -- Figurate numbers -- Proportions -- Attic numeration -- Ionian numeration -- Arithmetic and logistic -- 5. The Heroic Age -- Centers of activity -- Anaxagoras as Clazomenae -- Three famous problems -- Quadrature of lunes -- Continued proportions -- Hippias of Elis -- Philolaus and Archytas of Tarentum -- Duplication of the cube -- Incommensurability -- The golden section -- Paradoxes of Zeno -- Deductive reasoning -- Geometric algebra -- Democritus of A.
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