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Mathematics in the 19th Century, v.1 - Mathematical Logic, Algebra, Number Theory, Probability Theory (Hardcover, 2nd Revised edition)
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Mathematics in the 19th Century, v.1 - Mathematical Logic, Algebra, Number Theory, Probability Theory (Hardcover, 2nd Revised edition)
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New Edition - New in Paperback - This is the second revised edition
of the first volume of the outstanding collection of historical
studies of mathematics in the nineteenth century compiled in three
volumes by A. N. Kolmogorov and A. P. Yushkevich. This second
edition was carefully revised by Abe Shenitzer, York University,
Ontario, Canada. The historical period covered in this book extends
from the early nineteenth century up to the end of the 1930s, as
neither 1801 nor 1900 are, in themselves, turning points in the
history of mathematics, although each date is notable fo a
remarkable event: the first for the publication of Gauss'
"Disquisitiones arithmeticae," the second for Hilbert's
"Mathematical Problems." Beginning in the second quarter of the
nineteenth century mathematics underwent a revolution as crucial
and profound in its consequences for the general world outlook as
the mathematical revolution in the beginning of the modern era. The
main changes included a new statement of the problem of the
existence of mathematical objects, particulary in the calculus, and
soon thereafter the formation of non-standard structures in
geometry, arithmetic and algebra. The primary objective of the work
has been to treat the evolution of mathematics in the nineteenth
century as a whole; the discussion is concentrated on the essential
concepts, methods, and algorithms.
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