Computing in Algebraic Geometry - A quick start using SINGULAR

List of contents

Introductory Remarks on Computer Algebra.- Basic Notations and Ideas: A Historical Account.- Basic Computational Problems and Their Solution.- An Introduction to SINGULAR.- Practical Session I.- Practical Session II.- Constructive Module Theory and Homological Algebra I.- Homological Algebra II.- Practical Session III.- Solving Systems of Polynomial Equations.- Primary Decomposition and Normalization.- Practical Session IV.- Algorithms for Invariant Theory.- Computing in Local Rings.- Practical Session V.

Report

From the reviews:

"Algebraic geometry generally studies the properties of solution sets of systems of polynomial equations without direct reference to the actual polynomials used in these systems. ... This is especially desirable for classwork where the development of the abstract machinery generally outlasts the patience of the students, except possibly the most motivated ones. ... However, the book can ... be used in an introductory algebraic geometry course where the students will have the advantage of experimenting with examples as their knowledge grows." (A. Sinan Sertöz, Mathematical Reviews, Issue 2007 b)

Product details

• Authors: Wolfram Decker, Christoph Lossen
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 02.03.2006
• EAN: 9783540289920
• ISBN: 978-3-540-28992-0
• No. of pages: 328
• Weight: 652 g
• Illustrations: XVI, 328 p.
• Series: Algorithms and Computation in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, A, Algorithms, Mathematics and Statistics, Algebraic Geometry, Computational Mathematics and Numerical Analysis, Mathematical & statistical software, Commutative algebra, Commutative rings, Commutative Rings and Algebras, Computer mathematics, Numerical analysis, Mathematical Software, Computer software, Computer science—Mathematics, Maths for computer scientists, Symbolic and Algebraic Manipulation