SymbMath 2.0: A Symbolic Calculator with Learning

		by Dr. Weiguang HUANG
	5/6 Cara Road, Geelong, Vic. 3216, Australia
		Phone: (052)443282

        SymbMath (an abbreviation for Symbolic Mathematics) is not
only a symbolic calculator but also an expert system that can solve 
symbolical math problems. SymbMath will also perform exact numeric 
computation. It can manipulate complicated formulas and return answers 
in terms of symbols, formulas and exact numbers. 
	SymbMath is different from other software. 
        (1) It is able to learn from users.  If users only input one 
	    formula (e.g. one derivative) without writing any code, 
            it will automatically learn many problems (e.g. 
	    derivatives, indefinite and definite integrals) related 
	    to this formula.
        (2) Users can easily edit the library (e.g. integral tables)
            in "formula format". 
        (3) It requires only 640 KBytes RAM, so it can run on small
            IBM PCs 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 even implicit differentiation,
	    one-sided derivatives.
         o  Integration: indefinite or definite integration, 
            multiple integration, infinity as a bound, parametric
            integration, 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,
            user-defined functions, built-in standard functions,
	    over 80 internal 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  Chemical calculation: molecular and atomic weights,
            concentrations (all by entering the symbols of the
            chemical elements).
         o  Chemical reactions: inorganic and organic. 
         o  Other: series, lists, arrays, vectors, matrices, etc.
	Also included are:
         o  Pull-down and pop-up menus, sizable and colourable windows.
         o  Twin screen 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  Interface with other software (e.g. with PlotData for graph).
	Its shareware version (SM20A.ZIP) is available free from the
Calculator directory in SIMTEL20 archives on many anonymous FTP sites
(wsmr-simtel20.army.mil, rana.cc.deakin.oz.au, garbo.uwasa.fi, etc) or
by e-mail from listserv@vm1.nodak.edu, listserv@ndsuvm1.bitnet.