Computer Algebra and Symbolic Computation
Title | Computer Algebra and Symbolic Computation PDF eBook |
Author | Joel S. Cohen |
Publisher | CRC Press |
Pages | 472 |
Release | 2003-01-03 |
Genre | Computers |
ISBN | 1439863709 |
Mathematica, Maple, and similar software packages provide programs that carry out sophisticated mathematical operations. Applying the ideas introduced in Computer Algebra and Symbolic Computation: Elementary Algorithms, this book explores the application of algorithms to such methods as automatic simplification, polynomial decomposition, and polyno
Common LISP
Title | Common LISP PDF eBook |
Author | David S. Touretzky |
Publisher | Courier Corporation |
Pages | 602 |
Release | 2014-02-20 |
Genre | Technology & Engineering |
ISBN | 048679170X |
Highly accessible treatment covers cons cell structures, evaluation rules, programs as data, recursive and applicable programming styles. Nearly 400 illustrations, answers to exercises, "toolkit" sections, and a variety of complete programs. 1990 edition.
Computer Algebra and Symbolic Computation
Title | Computer Algebra and Symbolic Computation PDF eBook |
Author | Joel S. Cohen |
Publisher | CRC Press |
Pages | 323 |
Release | 2002-07-19 |
Genre | Computers |
ISBN | 1439863695 |
This book provides a systematic approach for the algorithmic formulation and implementation of mathematical operations in computer algebra programming languages. The viewpoint is that mathematical expressions, represented by expression trees, are the data objects of computer algebra programs, and by using a few primitive operations that analyze and
Polynomial Algorithms in Computer Algebra
Title | Polynomial Algorithms in Computer Algebra PDF eBook |
Author | Franz Winkler |
Publisher | Springer Science & Business Media |
Pages | 294 |
Release | 1996-08-02 |
Genre | Mathematics |
ISBN | 9783211827598 |
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.
Symbolic Computation for Statistical Inference
Title | Symbolic Computation for Statistical Inference PDF eBook |
Author | David F. Andrews |
Publisher | Oxford University Press, USA |
Pages | 184 |
Release | 2000 |
Genre | Mathematics |
ISBN | 9780198507055 |
Over recent years, developments in statistical computing have freed statisticians from the burden of calculation and have made possible new methods of analysis that previously would have been too difficult or time-consuming. Up till now these developments have been primarily in numerical computation and graphical display, but equal steps forward are now being made in the area of symbolic computing: the use of computer languages and procedures to manipulate expressions. This allows researchers to compute an algebraic expression, rather than evaluate the expression numerically over a given range. This book summarizes a decade of research into the use of symbolic computation applied to statistical inference problems. It shows the considerable potential of the subject to automate statistical calculation, leaving researchers free to concentrate on new concepts. Starting with the development of algorithms applied to standard undergraduate problems, the book then goes on to develop increasingly more powerful tools. Later chapters then discuss the application of these algorithms to different areas of statistical methodology.
Algebraic and Symbolic Computation Methods in Dynamical Systems
Title | Algebraic and Symbolic Computation Methods in Dynamical Systems PDF eBook |
Author | Alban Quadrat |
Publisher | Springer |
Pages | 311 |
Release | 2020-04-07 |
Genre | Science |
ISBN | 9783030383558 |
This book aims at reviewing recent progress in the direction of algebraic and symbolic computation methods for functional systems, e.g. ODE systems, differential time-delay equations, difference equations and integro-differential equations. In the nineties, modern algebraic theories were introduced in mathematical systems theory and in control theory. Combined with real algebraic geometry, which was previously introduced in control theory, the past years have seen a flourishing development of algebraic methods in control theory. One of the strengths of algebraic methods lies in their close connections to computations. The use of the above-mentioned algebraic theories in control theory has been an important source of motivation to develop effective versions of these theories (when possible). With the development of computer algebra and computer algebra systems, symbolic methods for control theory have been developed over the past years. The goal of this book is to propose a partial state of the art in this direction. To make recent results more easily accessible to a large audience, the chapters include materials which survey the main mathematical methods and results and which are illustrated with explicit examples.
Symbolic Computation and Education
Title | Symbolic Computation and Education PDF eBook |
Author | Shangzhi Li |
Publisher | World Scientific |
Pages | 256 |
Release | 2007 |
Genre | Computers |
ISBN | 9812776001 |
Geosciences particularly numerical weather predication, are demanding the highest levels of computer power available. The European Centre for Medium-Range Weather Forecasts, with its experience in using supercomputers in this field, organizes a workshop every other year bringing together manufacturers, computer scientists, researchers and operational users to share their experiences and to learn about the latest developments. This volume provides an excellent overview of the latest achievements and plans for the use of new parallel techniques in the fields of meteorology, climatology and oceanography.