Algorithms And Techniques In Computer Algebra
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Computer Algebra
This book still remains the best introduction to computer algebra, catering to both the interested beginner and the experienced pure mathematician and computer scientist. This updated Second Edition provides a comprehensive review, and contains excellent references to fundamental papers and worked examples. In addition to being a general text on the subject, the book includes an appendix describing the use of one particular algebra system-REDUCE.
Algorithms and Techniques in Computer Algebra
Author: Pasquale De Marco
language: en
Publisher: Pasquale De Marco
Release Date: 2025-07-15
**Algorithms and Techniques in Computer Algebra** provides a comprehensive introduction to this rapidly developing field, covering the basic concepts, core algorithms, and practical applications of computer algebra. Suitable for both undergraduate and graduate students in computer science, mathematics, and engineering, this book is an essential resource for anyone looking to master the essential concepts and techniques of computer algebra. With in-depth explanations, illustrative examples, and comprehensive exercises, this book covers a wide range of topics, from the basic concepts of field theory and ring theory to advanced topics such as Gröbner bases and analytic integration. It also includes a chapter dedicated to recent developments and open problems in computer algebra, keeping readers abreast of the latest advancements in the field. One of the key strengths of **Algorithms and Techniques in Computer Algebra** is its focus on practical applications. It demonstrates how computer algebra can be used to solve real-world problems in various fields, including cryptography, coding theory, robotics, computer graphics, and artificial intelligence. This makes the book not only a valuable resource for students but also a practical guide for professionals seeking to apply computer algebra to their work. Whether you are a seasoned professional looking to expand your knowledge or a beginner seeking to understand the fundamentals of computer algebra, **Algorithms and Techniques in Computer Algebra** is the perfect resource for you. With its clear and concise explanations, illustrative examples, and comprehensive exercises, this book will help you master the essential concepts and techniques of this exciting field. If you like this book, write a review!
Algorithmic Algebra
Author: Bhubaneswar Mishra
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
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.