David Eisenbud; Daniel R. Grayson; Mike Stillman; Computations in Algebraic Geometry with Macaulay 2 9783642075926

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Автор: David Eisenbud; Daniel R. Grayson; Mike Stillman;
Название: Computations in Algebraic Geometry with Macaulay 2
ISBN: 9783642075926
Издательство: Springer
Классификация: ISBN-10: 3642075924
Обложка/Формат: Paperback
Страницы: 329
Вес: 0.49 кг.
Дата издания: 22.09.2011
Серия: Algorithms and Computation in Mathematics
Язык: English
Размер: 234 x 156 x 18
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.

Computations in Algebraic Geometry with Macaulay 2, David Eisenbud; Daniel R. Grayson; Mike Stillman;