[Book Cover]

Classics of Mathematics, 1/e

Ronald Calinger, Catholic University of America

Published October, 1994 by Prentice Hall Engineering/Science/Mathematics

Copyright 1995, 816 pp.
Paper
ISBN 0-02-318342-X


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Summary

This edited volume of readings contains more than 130 selections from eminent mathematicians from A `h-mose' to Hilbert and Noether. The chapter introductions comprise a concise history of mathematics based on critical textual analysis and the latest scholarship. Each reading is preceded by a substantial biography of its author.

Features


features the latest scholarship from the history of mathematics and germane materials from the anthropology, sociology, and philosophy of science, as it examines the origins, character, and evolution of mathematical concepts, structures, and core mathematical fields, namely geometry, arithmetic, algebra, analysis, and applied mathematics.
organizes its materials to allow instructors to emphasize a selected theme, for example, the history of calculus from its origins in Archimedes, through near simultaneous invention by Newton and Leibniz, through Weierstrass's work on arithmetical foundations through measure theory and the Lebesque integral.
takes a multicultural approach and draws on the new field of ethnomathematics, examining topics like mathematical tablets from Old Babylon and papyri from pharaonic Egypt, the rise of theoretical mathematics in classical Greece, and mathematics in medieval Islam, traditional China, India, and Mayan America.
pays close attention to biographies to bring out the human dimension of mathematics.
includes an extensive, up-to-date bibliography listing primary sources, secondary books and articles, and general histories of science, i.e., writings of M. Clagget, J. Dauben, T. Hawkins, J. Hoyrup, W. Knorr, G.E.B. Lloyd, J. Needham, O. Neugebauer, D. Rowe, A. Weil, and D. Whiteside.
probes overlapping and often imprecise subdivisions of mathematical fields, such as differential geometry and topology, in seeking deeper, shared methods.
shows the rich relationships between mathematics and the sciences, especially in the modern era after 1600, for example, the role of Gaussian curvature and Riemannian geometry in relativistic physics.


Table of Contents

    Preface.
    Introduction.
    1. Protomathematics in the Late Age of Stone and in Ancient Mesopotamia and Egypt.
    2. The Rise of Theoretical Mathematics in Ancient Greece.
    3. The Hellenistic and Roman Periods.
    4. Arabic Primacy with Hindu, Chinese, and Maya Contributions.
    5. The Medieval-Renaissance-Reformation Periods in Europe.
    6. The Scientific Revolution at its Zenith.
    7. The Enlightenment (1720-1800).
    8. The Nineteenth Century.
    9. The Early Twentieth Century to 1932.


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