Computer Algebra In Applied Mathematics

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Computer Algebra in Applied Mathematics

Author : Richard H. Rand
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Computer Algebra in Applied Mathematics by : Richard H. Rand

Download or read book Computer Algebra in Applied Mathematics written by Richard H. Rand and published by Pitman Advanced Publishing Program. This book was released on 1984 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book has the dual goal of showing how computer algebra can play an important role in applied mathematics, while introducing the reader to the computer system MACSYMA, which is designed to support such computations. In order to provide realistic applications of computer algebra, the level of the mathematical treatment must be substantially beyond a first course in calculus. Thus this book is aimed at a reader who has had at least three years of college level calculus and differential equations. Currently, computer algebra is a rarely used research tool, but the author believes it is destined for a major roll in engineering and applied mathematics. It will not be long before computer algebra is as common to an engineering student as the now obsolete slide rule once was.

Applications of Computer Algebra

Author : Ilias S. Kotsireas
Publisher : Springer
ISBN 13 : 3319569325
Total Pages : 515 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Applications of Computer Algebra by : Ilias S. Kotsireas

Download or read book Applications of Computer Algebra written by Ilias S. Kotsireas and published by Springer. This book was released on 2017-07-26 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Applications of Computer Algebra (ACA) conference covers a wide range of topics from Coding Theory to Differential Algebra to Quantam Computing, focusing on the interactions of these and other areas with the discipline of Computer Algebra. This volume provides the latest developments in the field as well as its applications in various domains, including communications, modelling, and theoretical physics. The book will appeal to researchers and professors of computer algebra, applied mathematics, and computer science, as well as to engineers and computer scientists engaged in research and development.

Mathematics for Computer Algebra

Author : Maurice Mignotte
Publisher : Springer Science & Business Media
ISBN 13 : 1461391717
Total Pages : 357 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Mathematics for Computer Algebra by : Maurice Mignotte

Download or read book Mathematics for Computer Algebra written by Maurice Mignotte and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book corresponds to a mathematical course given in 1986/87 at the University Louis Pasteur, Strasbourg. This work is primarily intended for graduate students. The following are necessary prerequisites : a few standard definitions in set theory, the definition of rational integers, some elementary facts in Combinatorics (maybe only Newton's binomial formula), some theorems of Analysis at the level of high schools, and some elementary Algebra (basic results about groups, rings, fields and linear algebra). An important place is given to exercises. These exercises are only rarely direct applications of the course. More often, they constitute complements to the text. Mostly, hints or references are given so that the reader should be able to find solutions. Chapters one and two deal with elementary results of Number Theory, for example : the euclidean algorithm, the Chinese remainder theorem and Fermat's little theorem. These results are useful by themselves, but they also constitute a concrete introduction to some notions in abstract algebra (for example, euclidean rings, principal rings ... ). Algorithms are given for arithmetical operations with long integers. The rest of the book, chapters 3 through 7, deals with polynomials. We give general results on polynomials over arbitrary rings. Then polynomials with complex coefficients are studied in chapter 4, including many estimates on the complex roots of polynomials. Some of these estimates are very useful in the subsequent chapters.

Computer Algebra and Polynomials

Author : Jaime Gutierrez
Publisher : Springer
ISBN 13 : 3319150812
Total Pages : 222 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Computer Algebra and Polynomials by : Jaime Gutierrez

Download or read book Computer Algebra and Polynomials written by Jaime Gutierrez and published by Springer. This book was released on 2015-01-20 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory frequently in our daily life. This book focuses on the theory and algorithms for polynomials over various coefficient domains such as a finite field or ring. The operations on polynomials in the focus are factorization, composition and decomposition, basis computation for modules, etc. Algorithms for such operations on polynomials have always been a central interest in computer algebra, as it combines formal (the variables) and algebraic or numeric (the coefficients) aspects. The papers presented were selected from the Workshop on Computer Algebra and Polynomials, which was held in Linz at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) during November 25-29, 2013, at the occasion of the Special Semester on Applications of Algebra and Number Theory.

Computer Algebra

Author : Edmund A. Lamagna
Publisher : CRC Press
ISBN 13 : 1351605836
Total Pages : 350 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Computer Algebra by : Edmund A. Lamagna

Download or read book Computer Algebra written by Edmund A. Lamagna and published by CRC Press. This book was released on 2019-01-15 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Computer Algebra in Applied Mathematics

Author : R. H. Rand
Publisher : Longman Sc & Tech
ISBN 13 : 9780470205709
Total Pages : 200 pages
Book Rating : 4.2/5 (57 download)

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Book Synopsis Computer Algebra in Applied Mathematics by : R. H. Rand

Download or read book Computer Algebra in Applied Mathematics written by R. H. Rand and published by Longman Sc & Tech. This book was released on 1984-01-01 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete Mathematics: Applied Algebra for Computer and Information Science

Author : Leonard S. Bobrow
Publisher : W.B. Saunders Company
ISBN 13 :
Total Pages : 748 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Discrete Mathematics: Applied Algebra for Computer and Information Science by : Leonard S. Bobrow

Download or read book Discrete Mathematics: Applied Algebra for Computer and Information Science written by Leonard S. Bobrow and published by W.B. Saunders Company. This book was released on 1974 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Algebra in Quantum Field Theory

Author : Carsten Schneider
Publisher : Springer Science & Business Media
ISBN 13 : 3709116163
Total Pages : 422 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Computer Algebra in Quantum Field Theory by : Carsten Schneider

Download or read book Computer Algebra in Quantum Field Theory written by Carsten Schneider and published by Springer Science & Business Media. This book was released on 2013-10-05 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.

Applications of Computer Algebra

Author : Richard Pavelle
Publisher : Springer
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Applications of Computer Algebra by : Richard Pavelle

Download or read book Applications of Computer Algebra written by Richard Pavelle and published by Springer. This book was released on 1985 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today, certain computer software systems exist which surpass the computational ability of researchers when their mathematical techniques are applied to many areas of science and engineering. These computer systems can perform a large portion of the calculations seen in mathematical analysis. Despite this massive power, thousands of people use these systems as a routine resource for everyday calculations. These software programs are commonly called "Computer Algebra" systems. They have names such as MACSYMA, MAPLE, muMATH, REDUCE and SMP. They are receiving credit as a computational aid with in creasing regularity in articles in the scientific and engineering literature. When most people think about computers and scientific research these days, they imagine a machine grinding away, processing numbers arithmetically. It is not generally realized that, for a number of years, computers have been performing non-numeric computations. This means, for example, that one inputs an equa tion and obtains a closed form analytic answer. It is these Computer Algebra systems, their capabilities, and applications which are the subject of the papers in this volume.

Computers in Mathematics

Author : V. Chudnovsky
Publisher : CRC Press
ISBN 13 : 1000153703
Total Pages : 428 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Computers in Mathematics by : V. Chudnovsky

Download or read book Computers in Mathematics written by V. Chudnovsky and published by CRC Press. This book was released on 2020-12-18 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Talks from the International Conference on Computers and Mathematics held July 29-Aug. 1, 1986, Stanford U. Some are focused on the past and future roles of computers as a research tool in such areas as number theory, analysis, special functions, combinatorics, algebraic geometry, topology, physics,

Computer Algebra in Scientific Computing CASC’99

Author : Victor G. Ganzha
Publisher : Springer Science & Business Media
ISBN 13 : 3642602185
Total Pages : 507 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Computer Algebra in Scientific Computing CASC’99 by : Victor G. Ganzha

Download or read book Computer Algebra in Scientific Computing CASC’99 written by Victor G. Ganzha and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of powerful computer algebra systems has considerably ex tended the scope of problems of scientific computing which can now be solved successfully with the aid of computers. However, as the field of applications of computer algebra in scientific computing becomes broader and more complex, there is a danger of separation between theory, systems, and applications. For this reason, we felt the need to bring together the researchers who now ap ply the tools of computer algebra for the solution of problems in scientific computing, in order to foster new and closer interactions. CASC'99 is the second conference devoted to applications of computer al gebra in scientific computing. The first conference in this sequence, CASC'98, was held 20-24 April 1998 in St. Petersburg, Russia. This volume contains revised versions of the papers submitted by the par ticipants and accepted by the program committee after a thorough reviewing process. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scien tific computing: symbolic-numeric analysis and solving differential equations, efficient computations with polynomials, groups, matrices and other related objects, special purpose programming environments, application to physics, mechanics, optics and to other areas. In particular, a significant group of papers deals with applications of com puter algebra methods for the solution of current problems in group theory, which mostly arise in mathematical physics.

Symbolic Computation

Author : Robert Grossman
Publisher : SIAM
ISBN 13 : 9781611971033
Total Pages : 191 pages
Book Rating : 4.9/5 (71 download)

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Book Synopsis Symbolic Computation by : Robert Grossman

Download or read book Symbolic Computation written by Robert Grossman and published by SIAM. This book was released on 1989-01-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a monograph that describes current research efforts in the application of symbolic computation to several areas, including dynamical systems, differential geometry, Lie algebras, numerical analysis, fluid dynamics, perturbation theory, control theory, and mechanics. The chapters, which illustrate how symbolic computations can be used to study various mathematical structures, are outgrowths of the invited talks that were presented at the NASA-Ames Workshop on The Use of Symbolic Methods to Solve Algebraic and Geometric Problems Arising in Engineering. More than 100 people participated in the two-day conference, which took place in January 1987 at the NASA-Ames Research Center in Moffett Field, California. The field of symbolic computation is becoming increasingly important in science, engineering, and mathematics. The availability of powerful computer algebra systems on workstations has made symbolic computation an important tool for many researchers.

Applied Algebra

Author : Darel W. Hardy
Publisher : CRC Press
ISBN 13 : 1439894698
Total Pages : 410 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Applied Algebra by : Darel W. Hardy

Download or read book Applied Algebra written by Darel W. Hardy and published by CRC Press. This book was released on 2009-02-17 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using mathematical tools from number theory and finite fields, Applied Algebra: Codes, Ciphers, and Discrete Algorithms, Second Edition presents practical methods for solving problems in data security and data integrity. It is designed for an applied algebra course for students who have had prior classes in abstract or linear algebra. While the con

Computer Algebra Recipes

Author : Richard H. Enns
Publisher : Springer Science & Business Media
ISBN 13 : 0387312625
Total Pages : 436 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Computer Algebra Recipes by : Richard H. Enns

Download or read book Computer Algebra Recipes written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2007-02-26 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Contains computer algebra worksheets or "recipes" designed using MAPLE (System 10); no prior knowledge of MAPLE is assumed * Effective computational science text for first- and second-year undergraduates in mathematics, physics, engineering, chemistry, economics, biology, and pre-medicine * Examples and problems provide basis for both self-study and on-line course

Numerical Polynomial Algebra

Author : Hans J. Stetter
Publisher : SIAM
ISBN 13 : 9780898717976
Total Pages : 487 pages
Book Rating : 4.7/5 (179 download)

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Book Synopsis Numerical Polynomial Algebra by : Hans J. Stetter

Download or read book Numerical Polynomial Algebra written by Hans J. Stetter and published by SIAM. This book was released on 2004-01-01 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many important areas of scientific computing, polynomials in one or more variables are employed in the mathematical modeling of real-life phenomena; yet most of classical computer algebra assumes exact rational data. This book is the first comprehensive treatment of the emerging area of numerical polynomial algebra, an area that falls between classical numerical analysis and classical computer algebra but, surprisingly, has received little attention so far. The author introduces a conceptual framework that permits the meaningful solution of various algebraic problems with multivariate polynomial equations whose coefficients have some indeterminacy; for this purpose, he combines approaches of both numerical linear algebra and commutative algebra. For the application scientist, Numerical Polynomial Algebra provides both a survey of polynomial problems in scientific computing that may be solved numerically and a guide to their numerical treatment. In addition, the book provides both introductory sections and novel extensions of numerical analysis and computer algebra, making it accessible to the reader with expertise in either one of these areas.

Computer Algebra Recipes for Mathematical Physics

Author : Richard H. Enns
Publisher : Springer Science & Business Media
ISBN 13 : 081764427X
Total Pages : 402 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Computer Algebra Recipes for Mathematical Physics by : Richard H. Enns

Download or read book Computer Algebra Recipes for Mathematical Physics written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2006-03-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Uses a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn * Self-contained and standalone text that may be used in the classroom, for an online course, for self-study, as a reference * Using MAPLE allows the reader to easily and quickly change the models and parameters

Computational Mathematics with SageMath

Author : P. Zimmermann
Publisher : SIAM
ISBN 13 : 1611975468
Total Pages : 464 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Computational Mathematics with SageMath by : P. Zimmermann

Download or read book Computational Mathematics with SageMath written by P. Zimmermann and published by SIAM. This book was released on 2018-12-10 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: “This fantastic and deep book about how to use Sage for learning and doing mathematics at all levels perfectly complements the existing Sage documentation. It is filled with many carefully thought through examples and exercises, and great care has been taken to put computational functionality into proper mathematical context. Flip to almost any random page in this amazing book, and you will learn how to play with and visualize some beautiful part of mathematics.” --- William A. Stein, CEO, SageMath, and professor of mathematics, University of Washington SageMath, or Sage for short, is an open-source mathematical software system based on the Python language and developed by an international community comprising hundreds of teachers and researchers, whose aim is to provide an alternative to the commercial products Magma, Maple, Mathematica, and MATLAB®. To achieve this, Sage relies on many open-source programs, including GAP, Maxima, PARI, and various scientific libraries for Python, to which thousands of new functions have been added. Sage is freely available and is supported by all modern operating systems. Sage provides a wonderful scientific and graphical calculator for high school students, and it efficiently supports undergraduates in their computations in analysis, linear algebra, calculus, etc. For graduate students, researchers, and engineers in various mathematical specialties, Sage provides the most recent algorithms and tools, which is why several universities around the world already use Sage at the undergraduate level.