
Contextual History of Mathematics, A, 1/e
Ronald S. Calinger, The Catholic University of America
Published July, 1999 by Prentice Hall Engineering/Science/Mathematics
Copyright 1999, 751 pp.
Cloth
ISBN 0023182857

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History of MathematicsMathematics

For the standard math education history of math course. Taking students on a mathematical journey beginning with precivilization'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.
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:
 The mathematical achievements in Ancient Mesopotamia.
 The beginnings of theoretical mathematics in preSocratic
Greece.
 Early Roman civilization and mathematics.
 Numeration and major literary sources in traditional
China.
 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.
 Studies mathematics in the Medieval Islamic world after 1055.
 Explores the style and applications of late medieval
mathematical thought.
 Covers practical mathematics in high renaissance and
reformation Europe.
 Examines physicomathematics 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.
I. BEFORE THE ADVENT OF CIVILIZATION.
1. Origins of Number and Culture.
II. ANTIQUITY: FROM PROTOMATHEMATICS TO THEORETICAL MATHEMATICS.
2. The Dawning of Mathematics in the Ancient Near East.
3. Beginnings of Theoretical Mathematics in PreSocratic
Greece.
4. Theoretical Mathematics Established in FourthCentury
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 MidSeventeenth 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 Flourish.
12. Recovery and Expansion in Old Europe, 1000  1500.
THE TRANSITION TO MODERN MATHEMATICS IN EUROPE.
13. The First Phase of the Scientific Revolution, ca. 1450
 1600: Algebra and Geometry.
14. Transformation ca. 1600  1660: I.
15. Transformation ca. 1600  1660: II: To the Edge of Modernity.
16. The Apex of the Scientific Revolution I: Setting and Laureates.
17. The Apex of the Scientific Revolution II: Calculus to Probability.
Endnotes.
Suggested Further Readings.
Name Index.
Subject Index.
Photo Credits.
