"Contextual History of Mathematics" by Ronald S. Calinger. Published July,
1999 by Prentice Hall. Copyright 1999, 740 pp. ISBN 0-02-318285-7.
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Summary
For the standard math education history of math course. Taking students
on a mathematical journey beginning with pre-civilization's origins of
number and culture and spanning through the 1750's , this enlightening
and absorbing survey presents both established and new interpretations
with careful consideration given to the remappings, redivisions, and
renarrations presented by each new body of historians. Analyzing the
ancient beginnings and subsequent branches of growth in this rich,
diverse, and rapidly expanding field, this text provides a foundation
for understanding the core of mathematics with discussions that progress
from the theoretical mathematics in ancient Mesopotamia and Egypt to
the emergence of higher analysis mathematics in the late seventeenth
and early eighteenth centuries.
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Features
Opens with a reflective narrative on the nature and roots of mathematics
and a look at some of our more important historiographical issues.
Considers mathematics before civilization with examinations of the
Neolithic Revolution and writing and metrology in ancient Sumer.
Traces the science from proto- to theoretical mathematics, offering
insightful studies into:
o The mathematical achievements in Ancient Mesopotamia.
o The beginnings of theoretical mathematics in pre-Socratic Greece.
o Early Romancivilization and mathematics.
o Numeration and major literary sources in traditional China.
o The nature and sources of ancient and medieval Indian mathematics.
Provides a broad survey of mathematics progression in the Islamic world,
Latin West, and Maya America from the Middle Ages to 1500.
o Studies mathematics in the Medieval Islamic world after 1055.
o Explores the style and applications of late medieval mathematical
thought.
o Covers practical mathematics in high renaissance and reformation
Europe.
o Examines physico-mathematics and computational arithmetic in
Western Europe from 1570 to 1630.
Concludes with a discussion on the scientific revolution, delving into
such areas as the age of absolutism, the culture of science, inventions
of differential and fluxional calculus, and algebra, number theory, and
probability.
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Table of Contents
Preface.
I. BEFORE CIVILIZATION.
1. Origins of Number and Culture.
II. ANTIQUITY: FROM PROTO- TO THEORETICAL MATHEMATICS.
2. The Dawning of Mathematics in the Ancient Near East.
3. Beginnings of Theoretical Mathematics in Pre-Socratic Greece.
4. Theoretical Mathematics Established in Fourth-Century Greece.
5. Ancient Mathematical Zenith in the Hellenistic Third Century
B.C., I: The Alexandrian Museum and Euclid.
6. Ancient Mathematical Zenith in the Hellenistic Third Century
B.C., II: Archimedes to Diocles.
7. Mathematics in Roman and Later Antiquity, Centering in Alexandria.
8. Mathematics in Traditional China From the Late Shang Dynasty to
the Mid-Seventeenth Century.
9. Indian Mathematics: From Harappan to Keralan Times.
III. THE ISLAMIC WORLD, LATIN WEST, AND MAYA AMERICA FROM THE MIDDLE
AGES TO ca. 1500.
10. Mathematics in the Service of Religion.
11. The Era of Arabic Primacy and a Persian Fluorescence.
12. Recovery and Expansion in Old Europe, 1000 - 1500.
13. The First Phase of the Scientific Revolution, ca. 1450 - 1600:
Algebra and Geometry.
14. Transformation ca. 1600 - 1660: I: Physico-mathematics, Method,
Computational Arithmetic and Algebra.
15. Transformation ca. 1600 - 1660: II: To the Edge of Modernity.
16. The Apex of the Scientific Revolution.
Footnotes.
Suggested Further Readings.
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Reference: http://www.prenhall.com/books/esm_0023182857.html