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Computations in Algebraic Geometry with Macaulay 2 (Paperback, Softcover reprint of the original 1st ed. 2002)
Loot Price: R1,522
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Computations in Algebraic Geometry with Macaulay 2 (Paperback, Softcover reprint of the original 1st ed. 2002)
Series: Algorithms and Computation in Mathematics, 8
Expected to ship within 10 - 15 working days
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Systems of polynomial equations arise throughout mathematics,
science, and engineering. Algebraic geometry provides powerful
theoretical techniques for studying the qualitative and
quantitative features of their solution sets. Re cently developed
algorithms have made theoretical aspects of the subject accessible
to a broad range of mathematicians and scientists. The algorith mic
approach to the subject has two principal aims: developing new
tools for research within mathematics, and providing new tools for
modeling and solv ing problems that arise in the sciences and
engineering. A healthy synergy emerges, as new theorems yield new
algorithms and emerging applications lead to new theoretical
questions. This book presents algorithmic tools for algebraic
geometry and experi mental applications of them. It also introduces
a software system in which the tools have been implemented and with
which the experiments can be carried out. Macaulay 2 is a computer
algebra system devoted to supporting research in algebraic
geometry, commutative algebra, and their applications. The reader
of this book will encounter Macaulay 2 in the context of concrete
applications and practical computations in algebraic geometry. The
expositions of the algorithmic tools presented here are designed to
serve as a useful guide for those wishing to bring such tools to
bear on their own problems. A wide range of mathematical scientists
should find these expositions valuable. This includes both the
users of other programs similar to Macaulay 2 (for example,
Singular and CoCoA) and those who are not interested in explicit
machine computations at all."
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