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商品の説明
内容説明
Computer algebra systems are gaining importance in all areas of science and engineering. This textbook gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. It is designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics. Its comprehensiveness and authority also make it an essential reference for professionals in the area. Special features include: detailed study of algorithms including time analysis; implementation reports on several topics; complete proofs of the mathematical underpinnings; a wide variety of applications (among others, in chemistry, coding theory, cryptography, computational logic, and the design of calendars and musical scales). Some of this material has never appeared before in book form. For the new edition, errors have been corrected, the text has been smoothed and updated, and new sections on greatest common divisors and symbolic integration have been added.
Book Description
Designed to accompany one- or two-semester courses for advanced undergraduate or graduate students, this text's comprehensiveness and reliability also make it an essential reference for professionals. Errors have been corrected and new sections on greatest common divisors and symbolic integration have been added to this updated edition. First Edition Hb (1999): 0-521-64176-4
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Three examples in this chapter illustrate some applications of the ideas and methods of computer algebra: the spatial configurations (conformations) of the cyclohexane molecule, a chemical problem with an intriguing geometric solution; a cryptographic protocol for the secure transmission of messages; and distributed codes for sharing secrets or sending packets over a faulty network. 最初のページを読む
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Three examples in this chapter illustrate some applications of the ideas and methods of computer algebra: the spatial configurations (conformations) of the cyclohexane molecule, a chemical problem with an intriguing geometric solution; a cryptographic protocol for the secure transmission of messages; and distributed codes for sharing secrets or sending packets over a faulty network. 最初のページを読む
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カスタマーレビュー
Amazon.com で最も参考になったカスタマーレビュー (beta)
Amazon.com:
5件のカスタマーレビュー
5 人中、5人の方が、｢このレビューが参考になった｣と投票しています。
Very nice
2005/3/23
形式:ハードカバー|Amazonが確認した購入
This is a very nicely written text, comprehensive in what it aims to cover. The illustrations are plentiful and very helpful. The material is mostly self-contained and presented in a novel way (Fermat, Euler, Hilbert each have their own groups of sections!).
This is the best treatment I've seen for lattice basis reduction (a topic treated in many other texts) as well as for polynomial factoring over fields (Cantor Zassenhaus) and other topics. I've read parts of this book that were irrelevant for my research simply because the book is a joy to read. Highly recommended to anyone with an interest and some degree of mathematical maturity.
The only drawback is that my edition has a number of typos, some serious (however the authors do provide an online corrigenda).
This is the best treatment I've seen for lattice basis reduction (a topic treated in many other texts) as well as for polynomial factoring over fields (Cantor Zassenhaus) and other topics. I've read parts of this book that were irrelevant for my research simply because the book is a joy to read. Highly recommended to anyone with an interest and some degree of mathematical maturity.
The only drawback is that my edition has a number of typos, some serious (however the authors do provide an online corrigenda).
11 人中、7人の方が、｢このレビューが参考になった｣と投票しています。
MCA - very adequate book on computer algebra topics
2000/4/17
形式:ハードカバー
Covering a lot of topics on "Computer Algebra" this book is a fine workout. Many mathematical proofs are provided and most subjects are explained and outlined very accurately. Only sometimes things can not as easily be seen as the author clames. The homepage of Mr. von zur Gathen provides a postscript file with corrections and additions and even more one containing solutions to many of the given exercises.
10 人中、3人の方が、｢このレビューが参考になった｣と投票しています。
State-of-the-art in CAS
2001/8/6
形式:ハードカバー
I am a C programmer and this book was fundamental to introduce myself in the field of computer algebra systems (CAS). It's very well structured and at the state-of-the-art in that discipline. The only remarks is about the strong presence of author's mother-tongue influences in some English phrases.
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ご意見はクチコミでお聞かせください。
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