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Books > Science & Mathematics > Mathematics > Number theory
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Geometry of Curves (Hardcover)
Loot Price: R5,967
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Geometry of Curves (Hardcover)
Series: Chapman Hall/CRC Mathematics Series
Expected to ship within 12 - 17 working days
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Interest in the study of geometry is currently enjoying a
resurgence-understandably so, as the study of curves was once the
playground of some very great mathematicians. However, many of the
subject's more exciting aspects require a somewhat advanced
mathematics background. For the "fun stuff" to be accessible, we
need to offer students an introduction with modest prerequisites,
one that stimulates their interest and focuses on problem solving.
Integrating parametric, algebraic, and projective curves into a
single text, Geometry of Curves offers students a unique approach
that provides a mathematical structure for solving problems, not
just a catalog of theorems. The author begins with the basics, then
takes students on a fascinating journey from conics, higher
algebraic and transcendental curves, through the properties of
parametric curves, the classification of limacons, envelopes, and
finally to projective curves, their relationship to algebraic
curves, and their application to asymptotes and boundedness. The
uniqueness of this treatment lies in its integration of the
different types of curves, its use of analytic methods, and its
generous number of examples, exercises, and illustrations. The
result is a practical text, almost entirely self-contained, that
not only imparts a deeper understanding of the theory, but inspires
a heightened appreciation of geometry and interest in more advanced
studies.
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