Table of Contents

INTRODUCTION PART ONE: MATHEMATICS IN ANTIQUITY Chapter 1 Number Systems and the Invention of Positional Notation Chapter 2 Egyptian Arithmetic Chapter 3 Babylonian Algebra Chapter 4 Greek Trigonometry: The Introduction of Inequalities and the Measurement of Area PART TWO: THE ADOLESCENCE OF COMPUTATION Chapter 5 Navigation Chapter 6 Cartography Chapter 7 The Invention of Logarithms Chapter 8 The Algebrization of Geometry PART THREE: THE RISE OF GEOMETRICAL ANALYSIS Chapter 9 Infinitesimal Calculus Chapter 10 The Calculus and Calculation Chapter 11 Differential Geometry Chapter 12 Models of the Universe SUPPLEMENT: TWENTIETH-CENTURY MATHEMATICS SOLUTIONS TO SELECTED EXERCISES REFERENCES TABLES Table 1 Common (Briggsian) Logarithms Table 2 Natural Logarithms Table 3 Exponential Functions Table 4 Trigonometrical Functions INDEX

About the Author

Howard L. Resnikoff taught in the Departments of Psychology, Applied Mathematics, and Computer Science at Harvard University. He was Chairman of the Department of Mathematics at the Unviersity of California, Irvine, and Professor of Mathematics at Rice Unviersity. He was also the founder of Aware, Inc., a mathematical engineering company. Raymond O. Wells, Jr., is Distinguished Professor of Mathematics at Jacobs University Bremen and Adjunct Professor of Mathematics at the University of Colorado. He was for many years a member of the Mathematics Department at Rice University.