TY - GEN AU - Decker, Wolfram ED - Lossen, Christoph TI - Computing in algebraic geometry: a quick start using SINGULAR SN - 9783540289920 U1 - 516.35 DEC PY - 2006/// CY - New Delhi: PB - Springer-Verlag, KW - SINGULAR- Computer File KW - Computer Mathematics KW - Computer Science - Mathematics KW - Commutative Rings and Algebras KW - Computational Mathematics and Numerical Analysis KW - Geometry, Algebraic KW - Data Processing KW - Mathematical Software KW - Algebraic Geometry KW - Symbolic and Algebraic Manipulation KW - Algorithms N2 - This book provides a quick access to computational tools for algebraic geometry, the mathematical discipline which handles solution sets of polynomial equations. Originating from a number of intense one week schools taught by the authors, the text is designed so as to provide a step by step introduction which enables the reader to get started with his own computational experiments right away. The authors present the basic concepts and ideas in a compact way, omitting proofs and detours, and they give references for further reading on some of the more advanced topics. In examples and exercises, the main emphasis is on explicit computations using the computer algebra system SINGULAR. The book addresses both, students and researchers. It may serve as a basis for self-study, guiding the reader from his first steps into computing to writing his own procedures and libraries ER -