Aims Library of Mathematical Sciences Ser.: First Course in Computational Algebraic Geometry by Gerhard Pfister and Wolfram Decker (2013, Trade Paperback)
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Reviews"Decker and Pfister exposit the very rudiments of algebraic geometry in tandem with the workings of the program Singular. The student who masters this content could proceed in many directions ... Recommended. Upper-division undergraduates through researchers/faculty." D. V. Feldman, Choice
TitleLeadingA
IllustratedYes
Dewey Decimal516.3/5
Table Of ContentPreface; Prologue: general remarks on computer algebra systems; 1. The geometry-algebra dictionary; 2. Computing; 3. Sudoku; 4. A problem in group theory solved by computer algebra; Bibliography; Index.
SynopsisA First Course in Computational Algebraic Geometry is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. Originating from a course taught at the African Institute for Mathematical Sciences, the book gives a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the freely available computer algebra system, Singular. Readers will quickly gain the confidence to begin performing their own experiments., This quick guide is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. It provides a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the computer algebra system Singular.