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A Primer of Infinitesimal Analysis (Hardcover, 2nd Revised edition)
Loot Price: R1,622
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A Primer of Infinitesimal Analysis (Hardcover, 2nd Revised edition)
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One of the most remarkable recent occurrences in mathematics is the
re-founding, on a rigorous basis, the idea of infinitesimal
quantity, a notion which played an important role in the early
development of the calculus and mathematical analysis. In this new
and updated edition, basic calculus, together with some of its
applications to simple physical problems, are presented through the
use of a straightforward, rigorous, axiomatically formulated
concept of 'zero-square', or 'nilpotent' infinitesimal - that is, a
quantity so small that its square and all higher powers can be set,
to zero. The systematic employment of these infinitesimals reduces
the differential calculus to simple algebra and, at the same time,
restores to use the "infinitesimal" methods figuring in traditional
applications of the calculus to physical problems - a number of
which are discussed in this book. This edition also contains an
expanded historical and philosophical introduction.
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