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The Art of the Intelligible - An Elementary Survey of Mathematics in its Conceptual Development (Hardcover, 1999 ed.)
Loot Price: R2,792
Discovery Miles 27 920
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The Art of the Intelligible - An Elementary Survey of Mathematics in its Conceptual Development (Hardcover, 1999 ed.)
Series: The Western Ontario Series in Philosophy of Science, 63
Expected to ship within 10 - 15 working days
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A compact survey, at the elementary level, of some of the most
important concepts of mathematics. Attention is paid to their
technical features, historical development and broader
philosophical significance. Each of the various branches of
mathematics is discussed separately, but their interdependence is
emphasised throughout. Certain topics - such as Greek mathematics,
abstract algebra, set theory, geometry and the philosophy of
mathematics - are discussed in detail. Appendices outline from
scratch the proofs of two of the most celebrated limitative results
of mathematics: the insolubility of the problem of doubling the
cube and trisecting an arbitrary angle, and the GAdel
incompleteness theorems. Additional appendices contain brief
accounts of smooth infinitesimal analysis - a new approach to the
use of infinitesimals in the calculus - and of the philosophical
thought of the great 20th century mathematician Hermann Weyl.
Readership: Students and teachers of mathematics, science and
philosophy. The greater part of the book can be read and enjoyed by
anyone possessing a good high school mathematics background.
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