Computational commutative algebra  1 ~ 2

Martin Kreuzer, Lorenzo Robbiano

This introduction to polynomial rings, Grobner bases and applications bridges the gap in the literature between theory and actual computation. It details numerous applications, covering fields as disparate as algebraic geometry and financial markets. To aid in a full understanding of these applications, more than 40 tutorials illustrate how the theory can be used. The book also includes many exercises, both theoretical and practical.

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"The second volume of the authors' 'Computational commutative algebra'...covers on its 586 pages a wealth of interesting material with several unexpected applications...an encyclopedia on computational commutative algebra, a source for lectures on the subject as well as an inspiration for seminars. The text is recommended for all those who want to learn and enjoy an algebraic tool that becomes more and more relevant to different fields of applications." --ZENTRALBLATT MATH

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[目次]

  • Foreword.- Introduction.- 1. Foundations.- 2. Grobner 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.

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[目次]

  • The Homogeneous Case.- Hilbert Functions.- Further Applications.

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この本の情報

書名 Computational commutative algebra
著作者等 Robbiano, Lorenzo
Kreuzer Martin
巻冊次 1
2
出版元 Springer
刊行年月 c2000-c2005
版表示 1st ed. 2000. Corr. 2nd printing 2008
ページ数 2 v.
大きさ 25 cm
ISBN 3540255273
354067733X
NCID BA48710483
※クリックでCiNii Booksを表示
言語 英語
出版国 ドイツ
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