Hypatia, the First Woman Mathematician 233 The Mathematical Collection of Pappus 232 The Chinese Hundred Fowls Problem 228 5.4 The Spread of Christianity 215 Constantinople, A Refuge for Greek Learning 217 5.2Įuclid’s Proof of the Pythagorean Theorem 156 The Twilight of Greek Mathematics: Diophantus 213 5.1 The Quadratrix of Hippias 130 Rise of the Sophists 130 Hippias of Elis 131 The Grove of Academia: Plato’s Academy 134 Hippocrates and the Quadrature of the Circle 120 Three Construction Problems of Antiquity 120 Theon’s Side and Diagonal Numbers 111 3.4 The Crisis of Incommensurable Quantities 109 The Pythagorean Problem 105 Geometric Proofs of the Pythagorean Theorem 105 vĮarly Solutions of the Pythagorean Equation 107 Pythagorean Mathematics 90 Pythagoras and His Followers 90 Nicomachus’s Introductio Arithmeticae 94Ī Key to Deciphering: The Rosetta Stone 35 2.2 Mathematics in Early Civilizations 33 2.1
The Dawn of Demonstrative Geometry: Thales of Miletos 86 The Babylonian Positional Number System 23 The Beginnings of Greek Mathematics 83 3.1 Number Recording of the Babylonians 20 Babylonian Cuneiform Script 20 Deciphering Cuneiform: Grotefend and Rawlinson 21 Hieroglyphic Representation of Numbers 11 Egyptian Hieratic Numeration 15 The Greek Alphabetic Numeral System 16 1.3 Number Recording of the Egyptians and Greeks 9īabylonian Use of the Pythagorean Theorem 76 Plimpton 322 72 A Tablet Concerning Number Triples 72 Notches as Tally Marks 2 The Peruvian Quipus: Knots as Numbers 1.2 Two Characteristic Babylonian Problems 69 The Babylonian Treatment of Quadratic Equations 64 Speculations About the Great Pyramid 57 2.5īabylonian Mathematics 62 A Tablet of Reciprocals 62 Nd some there be, which have no memorial who are perished, as though they had never been and are become as though they had never been born and their children after them.Įarly Egyptian Multiplication 37 The Unit Fraction Table 40 Representing Rational Numbers 43 2.3įour Problems from the Rhind Papyrus 46 The Method of False Position 46 A Curious Problem 49Įgyptian Mathematics as Applied Arithmetic 50 2.4Įgyptian Geometry 53 Approximating the Area of a Circle 53 Here be of them, that have left a name behind them, that their praises might be reported. Ll these were honored in their generations, and were the glory of their times. Includes bibliographical references and index. The history of mathematics : an introduction / David M. Library of Congress Cataloging-in-Publication Data Burton, David M. Donnelley All credits appearing on page or at the end of the book are considered to be an extension of the copyright page. Leland Compositor: Laserwords Private Limited Typeface: 10/12 Times Roman Printer: R. Louis, Missouri (USE) Cover Image: Royalty-Free/CORBIS Senior Photo Research Coordinator: John C.
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