Computations in Algebraic Geometry with Macaulay 2
نام عام مواد
[Book]
نام نخستين پديدآور
edited by David Eisenbud, Michael Stillman, Daniel R. Grayson, Bernd Sturmfels.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Berlin, Heidelberg :
نام ناشر، پخش کننده و غيره
Imprint: Springer,
تاریخ نشرو بخش و غیره
2002.
فروست
عنوان فروست
Algorithms and Computation in Mathematics,
مشخصه جلد
8
شاپا ي ISSN فروست
1431-1550 ;
یادداشتهای مربوط به مندرجات
متن يادداشت
I Introducing Macaulay 2 -- Ideals, Varieties and Macaulay 2 -- Projective Geometry and Homological Algebra -- Data Types, Functions, and Programming -- Teaching the Geometry of Schemes -- II Mathematical Computations -- Monomial Ideals -- From Enumerative Geometry to Solving Systems of Polynomial Equations -- Resolutions and Cohomology over Complete Intersections -- Algorithms for the Toric Hilbert Scheme -- Sheaf Algorithms Using the Exterior Algebra -- Needles in a Haystack: Special Varieties via Small Fields -- D-modules and Cohomology of Varieties.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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.
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9783642075926
قطعه
عنوان
Springer eBooks
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Algebra-- Data processing.
موضوع مستند نشده
Combinatorics.
موضوع مستند نشده
Geometry, Algebraic.
موضوع مستند نشده
Mathematics.
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )