SymbMath

A Symbolic Calculator with Learning

Dr. Weiguang HUANG
120/22 Wassell Street, Matravile,
Sydney, NSW 2036, Australia
Phone: 61 (0)293113251
E-mail: whuang@bigfoot.com

What is SymbMath? Answers:

an abbreviation for Symbolic Mathematics
a symbolic calculator that can solve symbolic math problems.
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.
an expert system that is able to learn from user's input. If the user only inputs 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)).
a symbolic, numeric and graphics computing environment where you can set up, run and document your calculation, draw your graph, and use external func- tions in the same way as standard functions since the external functions are auto-loaded.
a programming language in which you can define conditional, case, piecewise, recursion, multi-value functions and procedures, derivatives, integrals and rules.
a database where you can search your data.
a multi-windowed editor in which you can copy-and-paste anywhere in a file and between files, even from the Help file.

Symbmath 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, indeterminate forms.
Complex: calculation, functions, derivatives, integration.
Sum and product: partial, finite or infinite.
Others: series, lists, arrays, vectors, matrices, tables, etc. Also included are:
Plot: functions, polar, parametric, data, and list.
Draw: lines, arcs, ellipse, circles, ovals.
Auto-loaded library in the source code.
Pull-down and pop-up menus, resizable and colorable windows.
On-line help, and on-line manual.
Procedural, conditional, iterational, recursive, functional, rule-based, logic, pattern-matching and graphic programming.
Searching database.

Its three versions (Shareware, Student, and Advanced) are available from the author. The shareware version is available from anonymous FTP sites.

For more information about SymbMath we refer to the SymbMath web-site of the author.