- Hardcover: 800 pages
- Publisher: Cambridge University Press; 2 edition (3 July 2003)
- Language English
- ISBN-10: 0521826462
- ISBN-13: 978-0521826464
- Product Dimensions: 24.8 x 18 x 4 cm
- Amazon Bestsellers Rank: 1,339,157 in Books (See Top 100 in Books)
- See Complete Table of Contents
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Product Description
Review
From reviews of the first edition: 'Wow! What a beautifully produced book, and what a wealth of information.' Don Knuth
'This book is a delight: I heartily recommend it.' London Mathematical Society Newsletter 'I predict it will be a major success.' Steve Cook
'I predict it will be a major success.' Steve Cook
'I find the quality of this book really exceptional …'. Zentralblatt für Mathematik
'… this lively and exciting volume represents the state of the art in textbooks on computer algebra. Every student and instructor in this area will want a copy.' Mathematical Reviews
'This book is a delight: I heartily recommend it.' London Mathematical Society Newsletter 'I predict it will be a major success.' Steve Cook
'I predict it will be a major success.' Steve Cook
'I find the quality of this book really exceptional …'. Zentralblatt für Mathematik
'… this lively and exciting volume represents the state of the art in textbooks on computer algebra. Every student and instructor in this area will want a copy.' Mathematical Reviews
Product Description
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.
Inside This Book
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First Sentence
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. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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5 reviews
5 of 5 people found the following review helpful
Very nice
23 Mar 2005
Format:Hardcover|Amazon Verified Purchase
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).
7 of 11 people found the following review helpful
MCA - very adequate book on computer algebra topics
17 April 2000
Format:Hardcover
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.
3 of 10 people found the following review helpful
State-of-the-art in CAS
6 Aug 2001
Format:Hardcover
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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