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Books > Science & Mathematics > Mathematics > Algebra
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Solving Polynomial Equations - Foundations, Algorithms, and Applications (Paperback, Softcover reprint of hardcover 1st ed. 2005)
Loot Price: R1,447
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Solving Polynomial Equations - Foundations, Algorithms, and Applications (Paperback, Softcover reprint of hardcover 1st ed. 2005)
Series: Algorithms and Computation in Mathematics, 14
Expected to ship within 18 - 22 working days
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The subject of this book is the solution of polynomial equations,
that is, s- tems of (generally) non-linear algebraic equations.
This study is at the heart of several areas of mathematics and its
applications. It has provided the - tivation for advances in
di?erent branches of mathematics such as algebra, geometry,
topology, and numerical analysis. In recent years, an explosive -
velopment of algorithms and software has made it possible to solve
many problems which had been intractable up to then and greatly
expanded the areas of applications to include robotics, machine
vision, signal processing, structural molecular biology,
computer-aided design and geometric modelling, as well as certain
areas of statistics, optimization and game theory, and b- logical
networks. At the same time, symbolic computation has proved to be
an invaluable tool for experimentation and conjecture in pure
mathematics. As a consequence, the interest in e?ective algebraic
geometry and computer
algebrahasextendedwellbeyonditsoriginalconstituencyofpureandapplied
mathematicians and computer scientists, to encompass many other
scientists and engineers. While the core of the subject remains
algebraic geometry, it also calls upon many other aspects of
mathematics and theoretical computer science, ranging from
numerical methods, di?erential equations and number theory to
discrete geometry, combinatorics and complexity theory.
Thegoalofthisbookistoprovideageneralintroduction tomodernma-
ematical aspects in computing with multivariate polynomials and in
solving algebraic systems.
General
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