SymbMath 2.2: A Symbolic Calculator with Learning

		by Dr. Weiguang HUANG
	Dept. Analytical Chemsitry, University of New South Wales,
	Kensington, Sydney, NSW 2033, Australia
	Phone: 61-2-697-4643	Fax:   61-2-662-2835
	E-mail: w.huang@unsw.edu.au

	SymbMath (an abbreviation for Symbolic Mathematics) is a
symbolic calculator that can solve symbolical math problems. SymbMath 
also perform exact numeric computation. It can manipulate complicated 
formulas and return answers in terms of symbols, formulas and exact 
numbers. 
	SymbMath is an expert system that is able to learn from users.  
If users only input one formula without writing any code, it will 
automatically learn many problems related to this formula (e.g. it 
learns the integrals of an unknown function from a derivative of that 
unknown function).
	SymbMath is a programming language in which you can write
programs, functions and procedures.
	SymbMath is a computing environment where you can set up,
run and document your calculation.
	SymbMath is a text editor in which you can edit many documents 
in many windows.
	It runs on small IBM PCs (8086) with 420 KB free memory under
MS-DOS. 
	Its capabilities include facilities to provide analytical and 
numerical answers for:
	o Differentiation: regular or higher order, partial or total,
	  mixed and implicit differentiation, one-sided derivatives.
	o Integration: indefinite or definite integration, multiple
	  integration, infinity as a bound, parametric or iterated 
	  integration, line or surface integrals, discontinuous or 
	  implicit integration.
	o Solution of equations: roots of a polynomial, systems of
	  algebraic or differential equations.
	o Manipulation of expressions: simplification, factoring or 
	  expansion, substitution, evaluation, built-in standard or 
	  user-defined functions.
	o Calculation: exact and floating-point numerical computation 
	  of integer, rational, real and complex numbers in the range 
	  from minus to plus infinity, even with different units.
	o Limits: real or complex limits, one-sided limits, 
	  indeterminate forms.
	o Complex: calculation, functions, derivatives, integration.
	o Sum and product: finite or infinite, partial.
	o Others: series, lists, arrays, vectors, matrices, tables, etc.
Also included are:
	o Pull-down and pop-up menus, resizable and colourable windows.
	o Multi-windowed text editor with syntax check.
	o Programming in integrated edit-interpret-debug environment.
	o Reading and generating BASIC and FORTRAN codes.
	o Displaying two-dimensional math notation.
	o On-line help, and on-line manual.
	o Procedural, conditional, iterational, recursive, functional,
	  rule-based, logic, and pattern-matching programming.
	o Editable library in "formula format" or SymbMath language.
	o Learning from user.
	o Plotting functions and data.
	It has three versions: Shareware, Student, and Advanced. The 
shareware version is available from SIMTEL20 archives on anonymous FTP 
sites (wsmr-simtel20.army.mil as /calculator/sm22a.zip, rana.cc.deakin.
oz.au as /huang/sm22a.zip, etc) or by e-mail from listserv@vm1.nodak.edu, 
listserv@ndsuvm1.bitnet.