Algorithmic Algebra studies some of the main algorithmic tools of computer algebra, covering such topics as Gröbner bases, characteristic sets, resultants and semialgebraic sets. The main purpose of the book is to acquaint advanced undergraduate and graduate students in computer science, engineering and mathematics with the algorithmic ideas in computer algebra so that they could do research in computational algebra or understand the algorithms underlying many popular symbolic computational systems: Mathematica, Maple or Axiom, for instance. Also, researchers in robotics, solid modeling, computational geometry and automated theorem proving community may find it useful as symbolic algebraic techniques have begun to play an important role in these areas. The book, while being self-contained, is written at an advanced level and deals with the subject at an appropriate depth. The book is accessible to computer science students with no previous algebraic training. Some mathematical readers, on the other hand, may find it interesting to see how algorithmic constructions have been used to provide fresh proofs for some classical theorems. The book also contains a large number of exercises with solutions to selected exercises, thus making it ideal as a textbook or for self-study.
Algorithmic Algebra
and over one million other books are available for Amazon Kindle.
Learn more
FREE Two-Day Shipping for students on millions of items. Learn more |
| ||||||||||||||||||
Book Description
Frequently Bought Together
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
Share your thoughts with other customers:
|
||||||||||||||||||||||
|
Most Helpful Customer Reviews
3 of 4 people found the following review helpful:
5.0 out of 5 stars
One of the Best in Computer Algebra Text,
By A Customer
This review is from: Algorithmic Algebra (Monographs in Computer Science) (Hardcover)
Anyone need to use algorithms in polynomials should have a copy of this! This is definitely one of the best! It covers almost everything anyone need in computation with systems of polynomial equations: Grobner Basis, Resultants, Characteristic Set, Real Solutions of Polynomials... and also a bit of Data Structure.
Share your thoughts with other customers: Create your own review
|
|
Inside This Book
(learn more)
First Sentence:
The birth and growth of both algebra and algorithms are strongly intertwined. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
extended characteristic set, respective positive degrees, subresultant chain theorem, subresultant polynomial remainder sequence, syzygy condition, computable ring, semialgebraic decomposition, syzygy basis, symbolic computational systems, polynomial remainder sequences, total lexicographic, algebraic sentence, semialgebraic set, formal coefficients, ascending set, geometric theorem proving, real algebraic integer, real algebraic number, real algebraic sets, indecomposable element, univariate polynomials, cylindrical algebraic decomposition, admissible orderings, real closed field, root separation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hilbert's Nullstellensatz, Selected Problems Problem, End of Claim New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The birth and growth of both algebra and algorithms are strongly intertwined. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
extended characteristic set, respective positive degrees, subresultant chain theorem, subresultant polynomial remainder sequence, syzygy condition, computable ring, semialgebraic decomposition, syzygy basis, symbolic computational systems, polynomial remainder sequences, total lexicographic, algebraic sentence, semialgebraic set, formal coefficients, ascending set, geometric theorem proving, real algebraic integer, real algebraic number, real algebraic sets, indecomposable element, univariate polynomials, cylindrical algebraic decomposition, admissible orderings, real closed field, root separation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hilbert's Nullstellensatz, Selected Problems Problem, End of Claim New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 66
books:
See all 66 books this book cites
35
books
cite this book:
See all 35 books citing this book
- Computer Algebra: Symbolic and Algebraic Computation (Computing. Supplementum) by B. Buchberger on 4 pages
- Differential Algebra by Joseph Fels Ritt on page 167, and Back Matter
- Algebraic Geometry by Shreeram S. Abhyankar on page 6, and Back Matter
- Real Algebraic Geometry (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics) by Jacek Bochnak in Back Matter (1), and Back Matter (2)
- Algebraic Geometry (Graduate Texts in Mathematics) by Robin Hartshorne in Back Matter
See all 66 books this book cites
- Fundamental Problems of Algorithmic Algebra by Chee Keng Yap in Front Matter, and Back Matter
- Using Algebraic Geometry (Graduate Texts in Mathematics) by David A. Cox in Back Matter
- Some Tapas of Computer Algebra (Algorithms and Computation in Mathematics) by Arjeh M. Cohen on page 64
- Positive Polynomials in Control (Lecture Notes in Control and Information Sciences) by Didier Henrion on page 193
- An Introduction to Grobner Bases (Graduate Studies in Mathematics, Vol 3) by Philippe Loustaunau William W. Adams in Back Matter
See all 35 books citing this book
Books on Related Topics
(learn more)
|
What Other Items Do Customers Buy After Viewing This Item?
Tags Customers Associate with This Product(What's this?)Click on a tag to find related items, discussions, and people.
|
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
