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The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Context

The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Context

Brian Evans

ISBN: 978-1-118-85386-3

Jul 2014

252 pages

$93.00

Description

Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book:

  • Highlights the contributions made by various world cultures including African, Egyptian, Babylonian, Chinese, Indian, Islamic, and pre-Columbian American mathematics
  • Features an approach that is not too rigorous and is ideal for a one-semester course of the history of mathematics. 
  • Includes a Resources and Recommended Reading section for further exploration and has been extensively classroom-tested

Introduction ix

PART 1 MATHEMATICS IN AFRICA AND THE MEDITERRANEAN REGION 1

1 ANCIENT CIVILIZATION MATHEMATICS: AFRICA AS OUR BIRTHPLACE 3

2 ANCIENT EGYPTIAN MATHEMATICS: THE TIME OF THE PHARAOHS 7

3 BABYLONIAN MATHEMATICS: THE MESOPOTAMIAN CRADLE OF CIVILIZATION 17

4 GREEK MATHEMATICS: THE ARCHAIC PERIOD 25

5 GREEK MATHEMATICS: THE CLASSICAL PERIOD 37

6 GREEK MATHEMATICS: THE HELLENISTIC AND ROMAN/ BYZANTINE PERIODS 45

PART 2 MATHEMATICS IN ASIA AND PRE-COLUMBIAN AMERICA 59

7 CHINESE MATHEMATICS: ANCIENT TIMES TO THE MIDDLE AGES 61

8 INDIAN MATHEMATICS: ANCIENT TIMES TO THE MIDDLE AGES 75

9 ISLAMIC MATHEMATICS: PRESERVATION,INNOVATION, AND CONNECTION BETWEEN EAST AND WEST 87

10 PRE-COLUMBIAN AMERICAN MATHEMATICS: THE OLMEC, MAYA, AND INCA CIVILIZATIONS 97

PART 3 MATHEMATICS IN EUROPE 105

11 EUROPEAN MATHEMATICS: THE MIDDLE AGES AND THE RENAISSANCE 107

12 EUROPEAN MATHEMATICS: THE 17TH CENTURY 123

13 EUROPEAN MATHEMATICS: THE 18TH CENTURY 143

14 EUROPEAN MATHEMATICS: THE 19TH CENTURY 157

PART 4 MATHEMATICS IN THE 20TH AND 21ST CENTURIES 175

15 EUROPEAN, AMERICAN, AND GLOBAL MATHEMATICS: THE 20TH AND 21ST CENTURIES 177

16 EUROPEAN, AMERICAN, AND GLOBAL MATHEMATICS: A SHIFT IN THE 20TH CENTURY 199

17 AMERICAN MATHEMATICS EDUCATION: THE 20TH AND 21ST CENTURIES 207

Resources and Recommended Readings 219

Index 221