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Mathematics in Civilizationby H L Resnikoff
Synopses & Reviews
This lucid presentation examines how mathematics shaped and was shaped by the course of human events. Authors Resnikoff and Wells explore the growth, development and far-reaching applications of trigonometry, navigation, cartography, logarithms, algebra, and calculus through ancient, medieval, post-Renaissance and modern times. Preface. Index. Bibliography. 203 black-and-white figures. 7 tables. 14 photos.
How mathematics shaped and was shaped by human events. Trigonometry, navigation, cartography, algebra, calculus and related disciplines from ancient Greece through the twentieth century. Bibliography. 203 figures. 7 tables. 14 photos.
Lucid presentation explores the growth, development, and far-reaching applications of trigonometry, navigation, cartography, logarithms, algebra, and calculus through ancient, medieval, post-Renaissance, and modern times. Third edition, 2015, includes supplement updating the 1985 publication.
Featuring a new supplement that completely updates the work, this lucid presentation examines how mathematics shaped and was in turn shaped by the course of history. The authors explore the growth, development, and far-reaching applications of trigonometry, navigation, cartography, logarithms, algebra, and calculus through ancient, medieval, post-Renaissance, and modern times.
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.
Table of Contents
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
Table 1 Common (Briggsian) Logarithms
Table 2 Natural Logarithms
Table 3 Exponential Functions
Table 4 Trigonometrical Functions
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