Algorithmic Algebra (Monographs in Computer Science) by Bhubaneswar Mishra

Science & Math | Mathematics
Algorithmic Algebra (Monographs in Computer Science)
Title:
Algorithmic Algebra (Monographs in Computer Science)
Author:
Bhubaneswar Mishra
ISBN:
0387940901
ISBN13:
978-0387940908
Size PDF:
1875 kb
Size epub:
1471 kb
Publisher:
Springer; 1993 edition (September 29, 1993)
Language:
English
Other formats:
pdf, odf, mobi, cb7, azw, lit, ibooks
Rating:
4.6
Votes:
289

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.

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