Trends in Computer Algebra PDF Download

Author: Rainer Janssen
Publisher:
ISBN: 9783662198469
Category :
Languages : en
Pages : 212

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Author: Rainer Janssen
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 212

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Book Description

Author: Rainer Janßen
Publisher: Lecture Notes in Computer Science
ISBN:
Category : Computers
Languages : en
Pages : 212

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Book Description
This is the proceedings volume of the symposium entitled "Trends in Computer Algebra" held in Bad Neuenahr, May 19-21, 1987. Computer algebra is a very active research area on the borderline between mathematics and computer science, which will strongly influence mathematical and physical research in the near future. The intention of this symposium was to bring together specialists in computer algebra with researchers in related areas of mathematics and computer science as well as potential users of the developed tools and techniques in order to discuss present issues and future trends of this topic. The thirteen invited talks of the symposium were organized into the following groups: Languages and Systems, Symbolic Computations, Computing in Algebraic Structures, and Applications.

Author: Joachim von zur Gathen
Publisher: Cambridge University Press
ISBN: 1107039037
Category : Computers
Languages : en
Pages : 811

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Now in its third edition, this highly successful textbook is widely regarded as the 'bible of computer algebra'.

Author: Erich Kaltofen
Publisher: Springer Science & Business Media
ISBN: 1461396476
Category : Computers
Languages : en
Pages : 336

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Book Description
Advances in computer technology have had a tremendous impact on mathematics in the last two decades. In June of 1989, an international conference was held at MIT, bringing together mathematicians and computer scientists, to survey the work that has been done in computational mathematics, to report recent results in this field, and to discuss research directions as well as educational issues. This book presents a fascinating collection of contributions on topics ranging from computational algebra, and parallel computing, to mathematics education. Mathematicians interested in the computational aspects of their discipline as well as computer scientists interested in mathematical applications will enjoy the integrative view provided by this book.

Author: Christine Keitel-Kreidt
Publisher: Springer Science & Business Media
ISBN: 3642785425
Category : Education
Languages : en
Pages : 351

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Book Description
The NATO Advanced Research Workshop on Mathematics Education and Technology was held in Villard-de-Lans, France, between May 6 and 11, 1993. Organised on the initiative of the BaCoMET (Basic Components of Mathematics Education for Teachers) group (Christiansen, Howson and Otte 1986; Bishop, Mellin-Olsen and van Dormolen 1991), the workshop formed part of a larger NATO programme on Advanced Educational Technology. Some workshop members had already participated in earlier events in this series and were able to contribute insights from them: similarly some members were to take part in later events. The problematic for the workshop drew attention to important speculative developments in the applications of advanced information technology in mathematics education over the last decade, notably intelligent tutoring, geometric construction, symbolic algebra and statistical analysis. Over the same period, more elementary forms of information technology had started to have a significant influence on teaching approaches and curriculum content: notably arithmetic and graphic calculators; standard computer tools, such as spreadsheets and databases; and computer-assisted learning packages and computer microworlds specially designed for educational purposes.

Author: Kaye Stacey
Publisher: Springer Science & Business Media
ISBN: 1402081316
Category : Education
Languages : en
Pages : 382

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Kaye Stacey‚ Helen Chick‚ and Margaret Kendal The University of Melbourne‚ Australia Abstract: This section reports on the organisation‚ procedures‚ and publications of the ICMI Study‚ The Future of the Teaching and Learning of Algebra. Key words: Study Conference‚ organisation‚ procedures‚ publications The International Commission on Mathematical Instruction (ICMI) has‚ since the 1980s‚ conducted a series of studies into topics of particular significance to the theory and practice of contemporary mathematics education. Each ICMI Study involves an international seminar‚ the “Study Conference”‚ and culminates in a published volume intended to promote and assist discussion and action at the international‚ national‚ regional‚ and institutional levels. The ICMI Study running from 2000 to 2004 was on The Future of the Teaching and Learning of Algebra‚ and its Study Conference was held at The University of Melbourne‚ Australia fromDecember to 2001. It was the first study held in the Southern Hemisphere. There are several reasons why the future of the teaching and learning of algebra was a timely focus at the beginning of the twenty first century. The strong research base developed over recent decades enabled us to take stock of what has been achieved and also to look forward to what should be done and what might be achieved in the future. In addition‚ trends evident over recent years have intensified. Those particularly affecting school mathematics are the “massification” of education—continuing in some countries whilst beginning in others—and the advance of technology.

Author: Arjeh M. Cohen
Publisher: Springer Science & Business Media
ISBN: 3662038919
Category : Computers
Languages : en
Pages : 365

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Book Description
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: Bhubaneswar Mishra
Publisher: Springer Science & Business Media
ISBN: 1461243440
Category : Computers
Languages : en
Pages : 427

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Book Description
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: Franz Winkler
Publisher: Springer Science & Business Media
ISBN: 9783211827598
Category : Mathematics
Languages : en
Pages : 294

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Book Description
For several years now I have been teaching courses in computer algebra at the Universitat Linz, the University of Delaware, and the Universidad de Alcala de Henares. In the summers of 1990 and 1992 I have organized and taught summer schools in computer algebra at the Universitat Linz. Gradually a set of course notes has emerged from these activities. People have asked me for copies of the course notes, and different versions of them have been circulating for a few years. Finally I decided that I should really take the time to write the material up in a coherent way and make a book out of it. Here, now, is the result of this work. Over the years many students have been helpful in improving the quality of the notes, and also several colleagues at Linz and elsewhere have contributed to it. I want to thank them all for their effort, in particular I want to thank B. Buchberger, who taught me the theory of Grabner bases nearly two decades ago, B. F. Caviness and B. D. Saunders, who first stimulated my interest in various problems in computer algebra, G. E. Collins, who showed me how to compute in algebraic domains, and J. R. Sendra, with whom I started to apply computer algebra methods to problems in algebraic geometry. Several colleagues have suggested improvements in earlier versions of this book. However, I want to make it clear that I am responsible for all remaining mistakes.