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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Book Description
Editorial Reviews
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
Book Description
This successful textbook is designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics. Its comprehensiveness and authority make it also an essential reference for professionals in the area. 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.
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Most Helpful Customer Reviews
5 of 5 people found the following review helpful:
5.0 out of 5 stars
Very nice,
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This review is from: Modern Computer Algebra (Hardcover)
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).
7 of 11 people found the following review helpful:
4.0 out of 5 stars
MCA - very adequate book on computer algebra topics,
By gilgamash (cologne, Germany) - See all my reviews
This review is from: Modern Computer Algebra (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:
4.0 out of 5 stars
State-of-the-art in CAS,
By Luca De Santis (Avezzano, AQ Italy) - See all my reviews
This review is from: Modern Computer Algebra (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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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 Key Phrases - Capitalized Phrases (CAPs): (learn more)
Euclidean Algorithm, Fourier Transform, Chinese Remainder Algorithm, Chinese Remainder Theorem, Discrete Cosine Transform, Prove Lemma, Unique Factorization Domain, Chinese Remainder Problem, Carl Friedrich, Las Vegas, Victor Shoup, Augustus De Morgan, Extended Riemann Hypothesis, Monte Carlo, Bruno Buchberger, Compute the Fourier, Emmy Noether, Hendrik Lenstra, Sesame Street New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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 Key Phrases - Capitalized Phrases (CAPs): (learn more)
Euclidean Algorithm, Fourier Transform, Chinese Remainder Algorithm, Chinese Remainder Theorem, Discrete Cosine Transform, Prove Lemma, Unique Factorization Domain, Chinese Remainder Problem, Carl Friedrich, Las Vegas, Victor Shoup, Augustus De Morgan, Extended Riemann Hypothesis, Monte Carlo, Bruno Buchberger, Compute the Fourier, Emmy Noether, Hendrik Lenstra, Sesame Street New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
55
books
cite this book:
See all 55 books citing this book
- Selected Areas in Cryptography: 12th International Workshop, SAC 2005, Kingston, ON, Canada, August 11-12, 2005, Revised Selected Papers (Lecture Notes in Computer Science / Security and Cryptology) by Bart Preneel on page 81, and Back Matter
- Computing with Maple (Chapman Hall/CRC Mathematics Series) by Francis Wright on page 5, and Back Matter
- Comprehensive Mathematics for Computer Scientists 1 by Guerino B. Mazzola in Back Matter (1), and Back Matter (2)
- Computeralgebra (Springer-Lehrbuch Masterclass) (German Edition) by Michael Kaplan on page 4, and Back Matter
- Automated Reasoning: Second International Joint Conference, IJCAR 2004, Cork, Ireland, July 4-8, 2004, Proceedings (Lecture Notes in Computer Science / Lecture Notes in Artificial Intelligence) by David Basin on page 258
See all 55 books citing this book
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