Evans The Development of Mathematics Throughout the Centuries

A Brief History in a Cultural Context
1. Auflage 2014
ISBN: 978-1-118-85391-7
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 252 Seiten, E-Book

Throughout the book, readers take a journey throughout time andobserve how people around the world have understood these patternsof quantity, structure, and dimension around them. TheDevelopment of Mathematics Throughout the Centuries: A BriefHistory in a Cultural Contex provides a brief overview of thehistory of mathematics in a very straightforward and understandablemanner and also addresses major findings that influenced thedevelopment of mathematics as a coherent discipline. This book:
* Highlights the contributions made by various world culturesincluding African, Egyptian, Babylonian, Chinese, Indian, Islamic,and pre-Columbian American mathematics
* Features an approach that is not too rigorous and is idealfor a one-semester course of the history of mathematics.
* Includes a Resources and Recommended Reading section forfurther exploration and has been extensively classroom-tested

Autoren/Hrsg.

Evans, Brian

Inhaltsverzeichnis

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

Über Autor(innen)

BRIAN R. EVANS is Department Chair and AssociateProfessor of Mathematics Education in the School of Education atPace University in New York. He has authored over twenty-fivepublications and teaches pedagogical and content courses inmathematics including the history of mathematics. He is alsomanaging editor for the peer reviewed Journal of the NationalAssociation for Alternative Certification.