Computations in Algebraic Geometry with Macaulay 2 (Algorithms and Computation in Mathematics, 8, Band 8) - Hardcover

Hardcover

ISBN 10: 3540422307 ISBN 13: 9783540422303

Verlag: Springer, 2001

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2001
• Sprache: Englisch
• ISBN 10: 3540422307
• ISBN 13: 9783540422303
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 344
• Herausgeber: Eisenbud David, Grayson Daniel R., Stillman Mike, Sturmfels Bernd
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Tiergartenstr. 17; Heidelberg; 69121; Deutschland