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SymbolicC++: An Introduction to Computer Algebra using Object-Oriented Programming [Paperback]

Willi-Hans Steeb , Kiat-Shi Tan
4.0 out of 5 stars  See all reviews (2 customer reviews)


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Paperback, January 15, 1998 --  
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SymbolicC++:An Introduction to Computer Algebra using Object-Oriented Programming SymbolicC++:An Introduction to Computer Algebra using Object-Oriented Programming 4.0 out of 5 stars (2)
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Book Description

January 15, 1998 9813083557 978-9813083554 1
In the most restrictive sense, computer algebra is used for the manipulation of scientific and engineering formulae. A mathematical formula, which in a programming language can only be evaluated numerically, may be treated as a mathematical object in a symbolic algebra system, thus allowing for formal transformations such as differentiation and series expansion. This makes computer algebra an indispensable tool for research and scientific computing. The purpose of this book is to demonstrate how the features of object-oriented programming may be applied to the development of a computer algebra system, where the selected programming language used is C++. The design is based partly on acknowledged principles and partly on solid experience and feedback from actual use. This book is ideally suited for use in lectures on symbolic computation and object-oriented programming, and the level of presentation is such that one can study the subject early in ones education in science. The header files of the object-oriented programming classes (abstract data type) are provided in the Appendix, as well as separately on the attached diskette. The reference list also gives a collection of textbooks useful in the study of computer language C++.

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Product Details

  • Paperback: 598 pages
  • Publisher: Springer; 1 edition (January 15, 1998)
  • Language: English
  • ISBN-10: 9813083557
  • ISBN-13: 978-9813083554
  • Product Dimensions: 1.1 x 7.1 x 9.3 inches
  • Shipping Weight: 2.3 pounds
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #5,255,212 in Books (See Top 100 in Books)

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10 of 13 people found the following review helpful
5.0 out of 5 stars a great object-oriented application July 12, 2001
Format:Paperback
You will find this book fascinating if you are a computer science student intrigued by symbolic calculation systems such as Mathematica and Maple, and if you would like to see how such systems would be implemented in C++ (Mathematica and Maple are actually implemented in plain old C).
The C++ level required is just after CS2, the second C++ class that comprises data structures. If I were a CS2 instructor, I guess I would require students to read some parts of this book since it is a great means of reinforcing about all the concepts learned in C++, while building a nontrivial application; although some examples are taken from physics, physics knowledge is by no means required and the general math level called for reading this book remains comfortably low, and one can always skip the things one does not know or does not care about (such as quaternions, but hey, some people might be turned on by that stuff...).
It shows how to build classes that actually perform calculations using integers of arbitrary length, rational numbers of the a/b form, vectors, matrices, quaternions, symbolic variables, differentiation, integration, etc.
The system described in the book, SymbolicC++, can be used as a FREE alternative to Mathematica or Maple, less of course the graphing capabilities these great software products offer (less also zillions of functions available). SymbolicC++ may nevertheless be connected to Gnuplot to produce graphs. SymbolicC++ may also be of interest to the professional developer having to struggle with complex calculations, since its classes can be included in any C++ environment.
So in short, this book is great if you have the right background and the right interests.
I should also point out that Dr Steeb has written another great book that shows the system at work in problems from the physical sciences and finance ("The Nonlinear Workbook")
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4 of 6 people found the following review helpful
3.0 out of 5 stars Eclectic but rich January 10, 2000
Format:Paperback
A mixture of C++, group theory, and mathematical physics. Far from a polished treatment, but maybe worth perusing if these are topics of interest to you.
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