Computations in Algebraic Geometry with Macaulay 2

David Eisenbud, Daniel R. Grayson, Mike Stillman , Bernd Sturmfels

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English

Springer Verlag
01 June 2002

Mathematics & Sciences; Algebraic geometry; Mathematical & statistical software

Series: Algorithms and Computation in Mathematics

This book presents algorithmic tools for algebraic geometry and experimental 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. These expositions will be valuable to 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. The first part of the book is primarily concerned with introducing Macaulay2, whereas the second part emphasizes the mathematics.

Edited by: David Eisenbud, Daniel R. Grayson, Mike Stillman, Bernd Sturmfels
Imprint: Springer Verlag
Country of Publication: Germany
Volume: v.8
Dimensions: Height: 235mm, Width: 155mm, Spine: 20mm
Weight: 713g
ISBN: 9783540422303
ISBN 10: 3540422307
Series: Algorithms and Computation in Mathematics
Pages: 350
Publication Date: 01 June 2002
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Reviews for Computations in Algebraic Geometry with Macaulay 2

"""... Fazit: das Buch ist kein Lehrbuch im traditionellen Sinn. Sicherlich ist Teil I eine gelungene Einfuhrung, wenn man schon die elementaren Grundlagen der Algebraischen oder Analytischen Geometrie kennt. In Teil II ist das Buch aber eher wie ein Tagungsband, in dem einzelne Spezialisten ihre Themen vorstellen. Hier kann man sich etwas aussuchen, denn die Artikel sind unabhangig voneinander. ... Ich habe beim Lesen viele interessante Stellen gefunden, die man beim fluchtigen Durchblattern ubersehen kann. Man muss sich Zeit nehmen, dann wird der Band wirklich zum Gewinn fur alle, die Interesse an Algebraischer Geometrie haben."" S.Muller-Stach, Jahresberichte der DMV 2002, Bd. 104, Heft 4"