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＜電子ブック＞
Computational Commutative Algebra 1 / by Martin Kreuzer, Lorenzo Robbiano

版	1st ed. 2000.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2000
本文言語	英語
大きさ	X, 322 p : online resource
著者標目	*Kreuzer, Martin author Robbiano, Lorenzo author SpringerLink (Online service)
件　名	LCSH:Group theory LCSH:Algebra LCSH:Algorithms LCSH:Algebraic geometry LCSH:Computer science -- Mathematics  全ての件名で検索 FREE:Group Theory and Generalizations FREE:Algebra FREE:Algorithms FREE:Algebraic Geometry FREE:Symbolic and Algebraic Manipulation
一般注記	Foreword -- Introduction -- 1. Foundations -- 2. Gröbner Bases -- 3. First Applications -- A. How to Get Started with CoCoA -- B. How to Program CoCoA -- C. A Potpourri of CoCoA Programs -- D. Hints for Selected Exercises -- Notation -- Bibliography -- Index This is a book about Gröbner bases and their applications. It contains 3 chapters, 20 sections, 44 tutorials, 165 exercises, and numerous further amusements. It is going to help you bridge the gap between theoretical computer algebra and actual computation. We hope you will have as much fun reading it as the authors had writing it! From the reviews: "This is one of the most refreshing mathematical books I have ever held in my hands. This is academic teaching at its best; if I had not seen it, I would not have believed that it could be done so well." (Hans Stetter, IMN - Internationale Mathematische Nachrichten 2003) "Every paragraph of the book shows how much the authors have enjoyed translating into printed matter the outcome of a long, large, deep and personal relation with computationally oriented commutative algebra. And the result is a non-standard, elementary and self-contained introduction to the theory of Gröbner bases and its applications." (Laureano González-Vega and Tomás Recio, ACM SIGSAM Bulletin 2004) "The style of this book merits a comment. Each section begins with a quotation and an overview in which "Italian imagination overtakes German rigor". These introductions and the following main bodies of each section are well written, engaging and often amusing. The book is a pleasure to read." (John Little, Mathematical Reviews 2001) HTTP:URL=https://doi.org/10.1007/978-3-540-70628-1

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