Download or read book Computer Algebra written by R. Albrecht and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The journal Computing has established a series of supplement volumes the fourth of which appears this year. Its purpose is to provide a coherent presentation of a new topic in a single volume. The previous subjects were Computer Arithmetic 1977, Fundamentals of Numerical Computation 1980, and Parallel Processes and Related Automata 1981; the topic of this 1982 Supplementum to Computing is Computer Algebra. This subject, which emerged in the early nineteen sixties, has also been referred to as "symbolic and algebraic computation" or "formula manipulation". Algebraic algorithms have been receiving increasing interest as a result of the recognition of the central role of algorithms in computer science. They can be easily specified in a formal and rigorous way and provide solutions to problems known and studied for a long time. Whereas traditional algebra is concerned with constructive methods, computer algebra is furthermore interested in efficiency, in implementation, and in hardware and software aspects of the algorithms. It develops that in deciding effectiveness and determining efficiency of algebraic methods many other tools - recursion theory, logic, analysis and combinatorics, for example - are necessary. In the beginning of the use of computers for symbolic algebra it soon became apparent that the straightforward textbook methods were often very inefficient. Instead of turning to numerical approximation methods, computer algebra studies systematically the sources of the inefficiency and searches for alternative algebraic methods to improve or even replace the algorithms.
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
Download or read book Computer Algebra written by J. Calmet and published by Springer Science & Business Media. This book was released on 1982-10-08 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Symbolic and Algebraic Computation written by Patrizia Gianni and published by Springer Science & Business Media. This book was released on 1989-08-23 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ISSAC'88 is the thirteenth conference in a sequence of international events started in 1966 thanks to the then established ACM Special Interest Group on Symbolic and Algebraic Manipulation (SIGSAM). For the first time the two annual conferences "International Symposium on Symbolic and Algebraic Computation" (ISSAC) and "International Conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes" (AAECC) have taken place as a Joint Conference in Rome, July 4-8, 1988. Twelve invited papers on subjects of common interest for the two conferences are included in the proceedings and divided between this volume and the preceding volume of Lecture Notes in Computer Science which is devoted to AAECC-6. This book contains contributions on the following topics: Symbolic, Algebraic and Analytical Algorithms, Automatic Theorem Proving, Automatic Programming, Computational Geometry, Problem Representation and Solution, Languages and Systems for Symbolic Computation, Applications to Sciences, Engineering and Education.
Download or read book Algorithms for Computer Algebra written by Keith O. Geddes and published by Springer Science & Business Media. This book was released on 2007-06-30 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Computer Algebra written by James Harold Davenport and published by . This book was released on 1993 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Design and Implementation of Symbolic Computation Systems written by Alfonso Miola and published by Springer Science & Business Media. This book was released on 1990-03-26 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The growing importance of the systems for symbolic computation has greatly influenced the decision of organizing DISCO '90 which is short for International Symposium on Design and Implementation of Symbolic Computation Systems. DISCO '90 focuses mainly on the most innovative methodological and technological aspects of hardware and software system design and implementation for Symbolic and Algebraic Computation, Automated Reasoning, Software Environments (Languages and User Interfaces), and Automatic Programming. In particular, it includes papers on the design and the development of significant running systems. The general objective of DISCO '90 is to present an up-to-date view of the field, while encouraging the scientific exchange among academic, industrial and user communities of the development of systems for symbolic computation.
Download or read book Gr bner Bases written by Thomas Becker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origins of the mathematics in this book date back more than two thou sand years, as can be seen from the fact that one of the most important algorithms presented here bears the name of the Greek mathematician Eu clid. The word "algorithm" as well as the key word "algebra" in the title of this book come from the name and the work of the ninth-century scientist Mohammed ibn Musa al-Khowarizmi, who was born in what is now Uzbek istan and worked in Baghdad at the court of Harun al-Rashid's son. The word "algorithm" is actually a westernization of al-Khowarizmi's name, while "algebra" derives from "al-jabr," a term that appears in the title of his book Kitab al-jabr wa'l muqabala, where he discusses symbolic methods for the solution of equations. This close connection between algebra and al gorithms lasted roughly up to the beginning of this century; until then, the primary goal of algebra was the design of constructive methods for solving equations by means of symbolic transformations. During the second half of the nineteenth century, a new line of thought began to enter algebra from the realm of geometry, where it had been successful since Euclid's time, namely, the axiomatic method.
Download or read book Computerized Symbolic Manipulation in Mechanics written by Edwin Kreuzer and published by Springer. This book was released on 2014-05-04 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present important software tools, basic concepts, methods, and highly sophisticated applications of computerized symbolic manipulation to mechanics problems. An overview about general-purpose symbolic software is followed by general guidelines how to develop and implement high-quality computer algebra code. The theoretical background including modeling techniques for mechanical systems is provided which allows for the computer aided generation of the symbolic equation of motion for multibody systems. It is shown how the governing equations for different types of problems in structural mechanics can be automatically derived and how to implement finite element techniques via computer algebra software. Perturbation methods as a very powerful approach for nonlinear problems are discussed in detail and are demonstrated for a number of applications. The applications covered in this book represent some of the most advanced topics in the rapidly growing field of research on symbolic computation.
Download or read book EUROCAL 85 European Conference on Computer Algebra Linz Austria April 1 3 1985 Proceedings written by Bob F. Caviness and published by Springer Science & Business Media. This book was released on 1985 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book 27th Annual Symposium on Foundations of Computer Science written by IEEE Computer Society. Technical Committee on Mathematical Foundations of Computing and published by . This book was released on 1986 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Accurate Scientific Computations written by Willard L. Miranker and published by Springer Science & Business Media. This book was released on 1986-09 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Download or read book Handbook of Spices in India 75 Years of Research and Development written by P. N. Ravindran and published by Springer Nature. This book was released on with total page 4379 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Foundations of Computer Science 2000 written by Mogens Nielsen and published by Springer. This book was released on 2003-06-29 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 25th International Symposium on Mathematical Foundations of Computer Science, MFCS 2000, held in Bratislava/Slovakia in August/September 2000. The 57 revised full papers presented together with eight invited papers were carefully reviewed and selected from a total of 147 submissions. The book gives an excellent overview on current research in theoretical informatics. All relevant foundational issues, from mathematical logics as well as from discrete mathematics are covered. Anybody interested in theoretical computer science or the theory of computing will benefit from this book.
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: Mathematics of Computing -- Numerical Analysis.
Download or read book Computer Aided Proofs in Analysis written by Kenneth R. Meyer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications COMPUTER AIDED PROOFS IN ANALYSIS is based on the proceedings of an IMA Participating Institutions (PI) Conference held at the University of Cincinnati in April 1989. Each year the 19 Participating Institutions select, through a competitive process, several conferences proposals from the PIs, for partial funding. This conference brought together leading figures in a number of fields who were interested in finding exact answers to problems in analysis through computer methods. We thank Kenneth Meyer and Dieter Schmidt for organizing the meeting and editing the proceedings. A vner Friedman Willard Miller, Jr. PREFACE Since the dawn of the computer revolution the vast majority of scientific compu tation has dealt with finding approximate solutions of equations. However, during this time there has been a small cadre seeking precise solutions of equations and rigorous proofs of mathematical results. For example, number theory and combina torics have a long history of computer-assisted proofs; such methods are now well established in these fields. In analysis the use of computers to obtain exact results has been fragmented into several schools.
Download or read book Smart Farming Technologies to Attain Food and Nutrition Security written by P. Parvatha Reddy and published by CRC Press. This book was released on 2024-02-06 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of Rainbow Revolution is an integrated development of crop cultivation, horticulture, forestry, fishery, poultry, animal husbandry, and food processing industry. The concept of Smart Farming Technologies in agriculture is a step towards sustainability. India has already achieved resilience in agriculture, including the horticultural sector, through effective agricultural technology generation and is now on the threshold of a “rainbow revolution” that will ensure both household nutrition security and prosperity for its people. This book will be of immense value to the scientific community involved in teaching, research and extension activities related to strategies for achieving Rainbow Revolution for enhancing farmers’ income, food, and nutrition security. The book can also serve as a very useful reference for policymakers and practicing farmers.
