9 edition of Computational Commutative Algebra 1 found in the catalog.
October 27, 2000 by Springer .
Written in English
|The Physical Object|
|Number of Pages||321|
But researchers will also benefit from this exposition. The authors continue to present it in their lively and humorous style, interspersing core content with funny quotations and tongue-in-cheek explanations. The theories it describes can be applied to anything from children's toys to oil production. Pictures of the Authors pic1 pic2 Errors and misprints: For the second printing Julyno errors or misprints are known.
Since he has been the team leader of the project CoCoA. Starting out in Commutative Algebra and Algebraic Geometry, his research interests have developed further into Computer Algebra and its applications, including industrial applications and algebraic cryptography. The funny quotations help one enjoy the topic. Each chapter begins with a summary that motivates the … mathematics to follow, and every method is accompanied by an algorithms ….
Even an experienced reader will discover new and unexpected aspects of the theory. The number of jokes and quotes has increased exponentially due to the little-known fact that a good mathematical joke is better than a dozen mediocre papers. It contains 3 chapters, 20 sections, 44 tutorials, exercises, and numerous further amusements. He is the author or co-author of five monographs on computational algebra, cryptography and logic.
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About this book Introduction Computational Commutative Algebra 2 is the natural continuation of Computational Commutative Algebra 1 with some twists, starting with the differently coloured cover graphics. To aid a deeper understanding of these applications there are 44 tutorials aimed at illustrating how the theory can be used in these cases.
This book completes a trilogy initiated by the uncharacteristically witty books Computational Commutative Algebra 1 and 2 by the same authors. The first volume had 3 chapters, 20 sections, 44 tutorials, and some amusing quotes.
If you buy it, probably one spot on your desk will be lost forever! The family of prime ideals in a Dedekind domain is unrepresentatively simple: all the nonzero ones are maximal.
Moreover, the style is very friendly and relaxing …. This is a book for learning, teaching, reading, and most of all, enjoying the topic at hand. Lorenzo Robbiano is a retired professor at the University of Genova, Italy.
This is academic teaching at its best: if I had not seen it, I should not have believed that it can be done so well. While even that point of view is not easy to defend, it is unquestionable that computation is often very helpful in formulating conjectures, so is an important step on the way to theoretical understanding.
Finally, if you want to study algebraic geometry, I would advice to start studying algebraic geometry the earlier you can for still being motivated. From the reviews: "This is one of the most refreshing mathematical books I have ever held in my hands.
Free shipping for individuals worldwide Usually dispatched within 3 to 5 business days. Even the experienced reader will be pleasantly surprised to discover new and unexpected aspects in a variety of subjects including eigenvalues and eigenspaces of linear maps, joint eigenspaces of commuting families of endomorphisms, multiplication maps of zero-dimensional affine algebras, computation of primary decompositions and maximal ideals, and solution of polynomial systems.
It starts from very little background and progressively build all, and every chapter is really useful for algebraic geometry. 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.
The theories it describes can be applied to anything from children's toys to oil production. It integrates the Linear Algebra of the Third Millennium, developed exclusively here, with classical algorithmic and algebraic techniques.
The reviewer recommends the book to anybody who is interested in commutative algebra and algebraic geometry and its computational aspects. The authors do not believe in teaching by spreading out the material, but they introduce it via questions and discussions, they explore it in an intuitive fashion, exercise it through well-chosen examples, and start the reader on his own expeditions through numerous "tutorials", i.
Lorenzo Robbiano is a retired professor at the University of Genova, Italy. Besides the tutorials there are plenty of exercises, some of a theoretical nature and others more practical.Note: Citations are based on reference standards.
However, formatting rules can vary widely between applications and fields of interest or study.
The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied. Commutative algebra is the branch of algebra that studies commutative rings, their ideals, and modules over such rings.
Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative rings include polynomial rings; rings of algebraic integers, including the ordinary integers; and p-adic integers. This book completes a trilogy initiated by the uncharacteristically witty books Computational Commutative Algebra 1 and 2 by the same authors.
The material treated here is not available in book form, and much of it is not available at atlasbowling.com: Martin Kreuzer; Lorenzo Robbiano. I'm also not an expert but the book by Miller and Sturmfels is the only book I know of in this area.
There are books in related areas though such as computational commutative algebra (i.e. via Grobner bases), combinatorial algebraic geometry and applications of commutative. COMPUTATIONAL COMMUTATIVE ALGEBRA NOTES ALEXANDER M. KASPRZYK 1. Reference Material The o cial course textbook is [CLO07].
This is an excellent book; the style is clear and the material accessible. For this reason, I intend to follow the text quite closely. It is likely, however, that you will need further resources. If you’re nding a. Reviewed by William McGovern, Professor, University of Washingon on 8/21/ As promised by the title, the book gives a very nice overview of a side range of topics in number theory and algebra (primarily the former, but with quite a bit of attention to the latter as well), with special emphasis to the areas in which /5(3).