Some Tapas Of Computer Algebra
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Author | : Arjeh M. Cohen |
Publisher | : Springer Science & Business Media |
Total Pages | : 365 |
Release | : 2013-03-09 |
Genre | : Computers |
ISBN | : 3662038919 |
Download Some Tapas of Computer Algebra Book in PDF, Epub and Kindle
This book presents the basic concepts and algorithms of computer algebra using practical examples that illustrate their actual use in symbolic computation. A wide range of topics are presented, including: Groebner bases, real algebraic geometry, lie algebras, factorization of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. This book is a must read for anyone working in the area of computer algebra, symbolic computation, and computer science.
Author | : Johannes Grabmeier |
Publisher | : Springer Science & Business Media |
Total Pages | : 656 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 3642558267 |
Download Computer Algebra Handbook Book in PDF, Epub and Kindle
This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.
Author | : Edmund A. Lamagna |
Publisher | : CRC Press |
Total Pages | : 350 |
Release | : 2019-01-15 |
Genre | : Mathematics |
ISBN | : 1351605836 |
Download Computer Algebra Book in PDF, Epub and Kindle
The goal of Computer Algebra: Concepts and Techniques is to demystify computer algebra systems for a wide audience including students, faculty, and professionals in scientific fields such as computer science, mathematics, engineering, and physics. Unlike previous books, the only prerequisites are knowledge of first year calculus and a little programming experience — a background that can be assumed of the intended audience. The book is written in a lean and lively style, with numerous examples to illustrate the issues and techniques discussed. It presents the principal algorithms and data structures, while also discussing the inherent and practical limitations of these systems
Author | : Tewodros Amdeberhan |
Publisher | : American Mathematical Soc. |
Total Pages | : 304 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 0821843176 |
Download Tapas in Experimental Mathematics Book in PDF, Epub and Kindle
Experimental Mathematics is a recently structured field of Mathematics that uses a computer and advanced computing technology as tools to perform experiments such as analysis of examples, testing of new ideas, and the search of patterns.
Author | : Keith O. Geddes |
Publisher | : Springer Science & Business Media |
Total Pages | : 594 |
Release | : 2007-06-30 |
Genre | : Computers |
ISBN | : 0585332479 |
Download Algorithms for Computer Algebra Book in PDF, Epub and Kindle
Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields.
Author | : Kiyoshi Shirayanagi |
Publisher | : World Scientific |
Total Pages | : 241 |
Release | : 2001 |
Genre | : Computers |
ISBN | : 981024763X |
Download Computer Mathematics Book in PDF, Epub and Kindle
This volume covers some of the most recent and significant advances in computer mathematics, including algebraic, symbolic, numeric and geometric computation, automated mathematical reasoning, mathematical software and computer-aided geometric design. Researchers, engineers, academics and graduate students interested in doing mathematics using computers will find this volume good reading and a valuable reference.
Author | : Bhubaneswar Mishra |
Publisher | : Springer Science & Business Media |
Total Pages | : 427 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 1461243440 |
Download Algorithmic Algebra Book in PDF, Epub and Kindle
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.
Author | : Ruud Pellikaan |
Publisher | : Cambridge University Press |
Total Pages | : 612 |
Release | : 2017-11-02 |
Genre | : Mathematics |
ISBN | : 1108547826 |
Download Codes, Cryptology and Curves with Computer Algebra Book in PDF, Epub and Kindle
This well-balanced text touches on theoretical and applied aspects of protecting digital data. The reader is provided with the basic theory and is then shown deeper fascinating detail, including the current state of the art. Readers will soon become familiar with methods of protecting digital data while it is transmitted, as well as while the data is being stored. Both basic and advanced error-correcting codes are introduced together with numerous results on their parameters and properties. The authors explain how to apply these codes to symmetric and public key cryptosystems and secret sharing. Interesting approaches based on polynomial systems solving are applied to cryptography and decoding codes. Computer algebra systems are also used to provide an understanding of how objects introduced in the book are constructed, and how their properties can be examined. This book is designed for Masters-level students studying mathematics, computer science, electrical engineering or physics.
Author | : Joachim von zur Gathen |
Publisher | : Cambridge University Press |
Total Pages | : 811 |
Release | : 2013-04-25 |
Genre | : Computers |
ISBN | : 1107039037 |
Download Modern Computer Algebra Book in PDF, Epub and Kindle
Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.
Author | : Saugata Basu |
Publisher | : Springer Science & Business Media |
Total Pages | : 602 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662053551 |
Download Algorithms in Real Algebraic Geometry Book in PDF, Epub and Kindle
In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background. This self-contained book is accessible to graduate and undergraduate students.