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History of MathematicsMathematics

This edited volume of readings contains more than 130 selections from
eminent mathematicians from A `hmose' 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 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, uptodate 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.
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 MedievalRenaissanceReformation Periods in Europe.
6. The Scientific Revolution at its Zenith.
7. The Enlightenment (17201800).
8. The Nineteenth Century.
9. The Early Twentieth Century to 1932.
