Mathematics in Civilization

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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.
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Overview


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.
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Product Details

  • ISBN-13: 9780486246741
  • Publisher: Dover Publications
  • Publication date: 12/8/2011
  • Series: Popular Science Series
  • Edition description: Enl. and corr. ed.]
  • Edition number: 1
  • Pages: 416
  • Product dimensions: 6.12 (w) x 9.19 (h) x 0.77 (d)

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
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