Computational Chemistry
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SymbMath 3.4: Computer Algebra System with Learning

Contact:

Dr. Weiguang Huang
124 Eastern Avenue
Kingsford, Sydney
NSW 2032, Australia
Tel: (61 2) 96620516
E-mail: showing@bigfoot.com
URL: http://www.bigfoot.com/~showing

SymbMath (an abbreviation for Symbolic Mathematics) is a symbolic calculator that can solve symbolic math problems.

SymbMath is a computer algebra system that can perform exact numeric, symbolic and graphic computation. It manipulates complicated formulas and returns answers in terms of symbols, formulas, exact numbers, table and graph.

SymbMath is an expert system that is able to learn from user's input. If the user only input one formula without writing any code, it will automatically learn many problems related to this formula (e.g. it learns many integrals involving an unknown function f(x) from one derivative f'(x) ).

SymbMath is a symbolic, numeric and graphic computing environment where you can set up, run and document your calculation, draw your graph, and use external functions in the same way as standard functions since the external functions are auto-loaded.

SymbMath is a programming language in which you can define conditional, case, piecewise, recursion, multi-value functions and procedures, derivatives, intergrals and rules.

SymbMath is database where you can search your data. SymbMath is a multi-windowed editor in which you can copy-and-paste anywhere in a file and between files, even from the Help file. It is a symbolic math engine in other software by interface with other languages such as Basic, Pascal, C.

It runs on IBM PCs (8086) with 400 KB free memory under MS-DOS. It can provide analytical and numeric answers for:

  • Differentiation: regular or higher order, partial or total, mixed and implicit differentiation, one-sided derivatives.
  • Integration: indefinite or definite integration, multiple integration, infinity as a bound, parametric or iterated integration, line or surface integrals, discontinuous or implicit integration.
  • Solution of equations: roots of a polynomial, systems of algebraic or differential equations.
  • Manipulation of expressions: simplification, factoring or expansion, substitution, evaluation.
  • Calculation: exact and floating-point numeric computation of integer, rational, real and complex numbers in the range from minus to plus infinity, even with different units.
  • Limits: real, complex or one-sided limits.
  • Complex: calculation, functions, derivatives, integration.
  • Sum and product: partial, finite or infinite.
  • Others: series, lists, arrays, vectors, matrices, tables.

Also included are:

  • Plot: functions, polar, parametric, data, and list.
  • Draw: lines, arcs, ellipse, cirlces, ovals.
  • Auto-loaded library in the source code.
  • Pull-down and pop-up menus, resizeable and colorable windows.
  • Procedural, conditional, iterational, recursive, functional, rule-based, logic, pattern-matching and graphic programming.
  • Searching database.

Two versions (Shareware and Advanced) are available from the author. The shareware version is available from anonymous FTP sites and my Web page. If you get the SymbMath on ZIP format (e.g. sm34a.zip), you should unzip it with parameter -d by pkunzip -d sm34a c:\symbmath



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