Symbolicc An Introduction To Computer Algebra Using Object Oriented Programming PDF Download
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Author | : Kiat Shi Tan |
Publisher | : Springer Science & Business Media |
Total Pages | : 684 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 1447104056 |
Download SymbolicC++:An Introduction to Computer Algebra using Object-Oriented Programming Book in PDF, ePub and Kindle
Symbolic C++: An Introduction to Computer Algebra Using Object-Oriented Programming provides a concise introduction to C++ and object-oriented programming, using a step-by-step construction of a new object-oriented designed computer algebra system - Symbolic C++. It shows how object-oriented programming can be used to implement a symbolic algebra system and how this can then be applied to different areas in mathematics and physics. This second revised edition:- * Explains the new powerful classes that have been added to Symbolic C++. * Includes the Standard Template Library. * Extends the Java section. * Contains useful classes in scientific computation. * Contains extended coverage of Maple, Mathematica, Reduce and MuPAD.
Author | : Kiat Shi Tan |
Publisher | : |
Total Pages | : 598 |
Release | : 1997 |
Genre | : Algebra |
ISBN | : |
Download SymbolicC [plus Plus] Book in PDF, ePub and Kindle
Author | : Yorick Hardy |
Publisher | : World Scientific Publishing Company |
Total Pages | : 600 |
Release | : 2008-09-04 |
Genre | : Mathematics |
ISBN | : 9813101253 |
Download Computer Algebra With Symbolicc++ Book in PDF, ePub and Kindle
This book gives a comprehensive introduction to computer algebra together with advanced topics in this field. It provides a detailed coverage of the mathematics of computer algebra as well as a step-by-step guide to implement a computer algebra system in the object-oriented language C++. The used tools from C++ are introduced in detail.Numerous examples from mathematics, physics and engineering are presented to illustrate the system's capabilities. Computer algebra implementations in LISP and Haskell are also included. In addition, gene expression programming and multiexpression programming with applications to computer algebra are introduced.
Author | : |
Publisher | : |
Total Pages | : 0 |
Release | : 1998 |
Genre | : |
ISBN | : |
Download SymbolicC+ Book in PDF, ePub and Kindle
Author | : Kiat Shi Tan |
Publisher | : |
Total Pages | : 0 |
Release | : 2000 |
Genre | : |
ISBN | : 9780852332603 |
Download Symbolic C++ Book in PDF, ePub and Kindle
Author | : Alfonso Miola |
Publisher | : Springer Science & Business Media |
Total Pages | : 270 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 3709165318 |
Download Advances in the Design of Symbolic Computation Systems Book in PDF, ePub and Kindle
New methodological aspects related to design and implementation of symbolic computation systems are considered in this volume aiming at integrating such aspects into a homogeneous software environment for scientific computation. The proposed methodology is based on a combination of different techniques: algebraic specification through modular approach and completion algorithms, approximated and exact algebraic computing methods, object-oriented programming paradigm, automated theorem proving through methods à la Hilbert and methods of natural deduction. In particular the proposed treatment of mathematical objects, via techniques for method abstraction, structures classification, and exact representation, the programming methodology which supports the design and implementation issues, and reasoning capabilities supported by the whole framework are described.
Author | : Joel S. Cohen |
Publisher | : CRC Press |
Total Pages | : 472 |
Release | : 2003-01-03 |
Genre | : Computers |
ISBN | : 1439863709 |
Download Computer Algebra and Symbolic Computation Book in PDF, ePub and Kindle
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
Author | : R. Albrecht |
Publisher | : Springer Science & Business Media |
Total Pages | : 282 |
Release | : 2013-06-29 |
Genre | : Computers |
ISBN | : 3709134064 |
Download Computer Algebra Book in PDF, ePub and Kindle
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.
Author | : Joel S. Cohen |
Publisher | : CRC Press |
Total Pages | : 323 |
Release | : 2002-07-19 |
Genre | : Computers |
ISBN | : 1439863695 |
Download Computer Algebra and Symbolic Computation Book in PDF, ePub and Kindle
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
Author | : Wolfram Koepf |
Publisher | : Springer Nature |
Total Pages | : 384 |
Release | : 2021-08-12 |
Genre | : Mathematics |
ISBN | : 3030780171 |
Download Computer Algebra Book in PDF, ePub and Kindle
This textbook offers an algorithmic introduction to the field of computer algebra. A leading expert in the field, the author guides readers through numerous hands-on tutorials designed to build practical skills and algorithmic thinking. This implementation-oriented approach equips readers with versatile tools that can be used to enhance studies in mathematical theory, applications, or teaching. Presented using Mathematica code, the book is fully supported by downloadable sessions in Mathematica, Maple, and Maxima. Opening with an introduction to computer algebra systems and the basics of programming mathematical algorithms, the book goes on to explore integer arithmetic. A chapter on modular arithmetic completes the number-theoretic foundations, which are then applied to coding theory and cryptography. From here, the focus shifts to polynomial arithmetic and algebraic numbers, with modern algorithms allowing the efficient factorization of polynomials. The final chapters offer extensions into more advanced topics: simplification and normal forms, power series, summation formulas, and integration. Computer Algebra is an indispensable resource for mathematics and computer science students new to the field. Numerous examples illustrate algorithms and their implementation throughout, with online support materials to encourage hands-on exploration. Prerequisites are minimal, with only a knowledge of calculus and linear algebra assumed. In addition to classroom use, the elementary approach and detailed index make this book an ideal reference for algorithms in computer algebra.