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"Free OnLine Dictionary Of Computing " (FOLDOC) defines SymbMath as "Symbolic math package, which can learn new facts."

SymbMath
(Java™ Edition) is web-based symbolic math and computer algebra system,
which runs in any computer with Java™ technology. You can play it online.

SymbMath
(DOS Edition) is computer algebra system.

A list of software review is on the web page of Publication.

ZDNet.com reviewed SymbMath (DOS Edition)

"SymbMath (short for symbolic mathematics) is a calculator for solving

symbolic math problems. It is an expert system that can perform exact

numeric, symbolic, and graphic computations, and it can learn from the

user's input. It manipulates complicated formulas and returns answers

in terms of symbols, formulas, exact numbers, tables, and graphs.

If the user inputs a single formula without writing any code, the

program will automatically learn many problems related to that formula."

ZDNet.com reviewed SymbMath (Java™ Edition)

"This application is an online symbolic math and computer algebra

system, powered by SymbMath. It can perform exact, numeric, symbolic,

and graphic computations and includes arbitrary-precision calculation,

equation solving, plot data and user-defined functions, linear

regression, symbolic differentiation, and integration."

The magazine "Australian PC World", June 1992, page 119,

reviewed, "SymbMath 1.4 belongs in a more esoteric field, that

of symbolic mathematics. If you've ever had need for programs such as

Maple or Mathematica, you'll know about symbolic mathematics, also called

algebraic computation or symbolic manipulation. SymbMath is a symbolic

calculator that can manipulate complicated formulas and return answers

in terms of symbols. It solves the same sort of problems as programs like

Mathematica, but still runs in 640 K of RAM as opposed to Mathematica's

4 Mb plus. Although SymbMath is still being added to, it has generated

interest in the scientific sections of some overseas electronic bulletin

boards, being one of the most frequently downloaded programs at some

monitored sites".

The "IEEE Micro" journal on February 1992, page 76, said

"SymbMath, an expert system that solves mathematic problems in symbolic

formula or through numeric computation ... requires significantly less

RAM than most comparable software - 640 Kbytes, as opposed to as much as

4 Mbytes".

The "Australian PC World" magazine on 1993

July, page 147, reviewed "SymbMath 2.0 is a symbolic calculator that can

manipulate complicated formulas and return answers in term of symbols. It

solves the same sort of problems as programs such as Mathematica and Maple

(and some that they can't), yet runs within 640K of RAM."

"PC Plus", the June 1993 issue, page 281, reviewed SymbMath

as follows.

SUPPLIER: Public Domain and Shareware Library

PHONE: (0892) 663298

FOR: Powerful maths functions

` Automatically learns from user input`

` Modest hardware requirements `

AGAINST: Needs advanced maths knowledge

PCPLUS VALUE VERDICT: xxx

`REQUIREMENTS: `

MINIMUM HARDWARE: DRIVES: Hard disk, RAM: 640 Kb

`* Mathematics whizzes should find SymbMath a capable facility for `

handling complex problems.

Symbmath, short for Symbolic Mathematics, is both an advanced

mathematical calculator and an expert system. Designed by Australian

Weiguang Huang for solving university and professional level symbolical

maths problems. Symbmath will also perform exact numerical

computation. It's able to manipulate extremely complicated formulae,

returning answers in terms of symbols, formulae, or exact numbers as

`required. The program can learn from your calculations, automatically `

adding your problem-solving techniques to its repertoire: making it of

interest to artificial intelligence researchers as well as mathematicians,

particularly as you don't have to write any code.

Its capabilities are impressive, going well beyond the facilities

offered by rival programs. It's very fast and includes wide-ranging

and sophisticated routines for differentiation, integration, equation

solving, algebraic calculations, exact and floating point numerical

computation of numbers ranging from plus to minus infinity, and an ex-

tensive array of other advanced facilities that will be more than enough

to handle academic or practical mathematical problems of even extreme

`complexity. `

` Despite this extensive computing power, Symbmath will `

nevertheless run on very basic hardware: you need at least 640 Kb of RAM

`and a hard disk, but an 8088-based PC with a monochrome monitor is ample `

`for even very convoluted calculations. You'll need to be well-schooled `

`in advanced maths but, if you are, you'll will find SymbMath, well `

worth investigating.

"Refections", Vol. 18, No. 2, May 1993, page

58, reviewed SymbMath:

` "An alternative for MS-DOS users which has the unique advantage of `

being `home grown', SymbMath is the only Australian-made computer algebra

system of which I am aware. SymbMath comes in three versions (shareware,

student and advanced), with corresponding increases in price and in

capabilities. The student version is reviewed here, and was found to be

a versatile and useful mathematical tool.

` Like Maple on Macintosh, mathematical input must be entered in `

`computer syntax', but SymbMath (like Maple V and Derive) has the option

of two-dimensional output, which provides a reasonable approximation of

mathematical notation. Its capabilities are impressive, including a

`chemistry' option, in which it performs chemical calculations and

operates on chemical equations, and a unique ability to `learn' from the

user. Entering a rule for differentiation, for example, automatically

`teaches' the program how to integrate using that rule; trigonometric

identities and algebraic formulas can likewise be used as the basis for

inference.

` At the same time, the programs provide more than adequate computer `

algebra capabilities, and represent excellent value for money."

"Chemistry in Australia" magazine, December 1993, page 665,

reviewed:

` "SymbMath 2.2 (an abbreviation for Symbolic Mathematics) is a`

software package for symbolic computation. It runs on IBM PC compatible

under DOS and requires only 420 Kbytes of memory. It is an integrated

software package with pull-down and pop-up menus, on-line help and on-

line manuals which make application easier. The diskette also contain a

detailed manual with many examples.

` SymbMath performs both exact numerical computations and evaluates`

symbolic formulae. The package has the capability of solving mathematical

expressions, simultaneous equations, limits, differentiation, integration,

sums and products etc. It is also a programming language working as an

interpreter with variety of types, loops, arrays, functions etc. which

enable writing of programs for solving of more complex mathematical

procedures. This also enables documentation of your calculations.

` The package is very easy to apply. The user just needs to type `

the command for the required mathematical operation, and the expression(s).

Mathematical problems which usually require lots of calculation time can

be solved quickly.

` SymbMath has the ability to deduce and expand its knowledge. `

Provided with necessary facts, the package may solve many problems that

they were unable to solve before e.g. integrals etc. There is a chemical

calculation package which is capable of stoichiometric calculations as

well as an inorganic reaction package which may provide answers for some

inorganic chemical reactions. It also performs plots of functions and

data and interface with other software.

` Like the other software packages for symbolic mathematics e.g.`

Mathematica, MAPLE etc., SymbMath is suitable for performing calculations

of expressions, solving various mathematical problems, or performing

preliminary analysis before solving very complex mathematical problems.

The availability of such software has already had an impact on teaching

mathematics at universities and there will be more applications for such

packages in the future because they enable easy solution of diverse

mathematical problems. Compared with large packages like Mathematica

capable of solving very complex problems (which runs under Microsoft

Windows which itself require a very large memory), SymbMath has a big

advantage in that it requires very little memory, it is much easier to

learn and it is much less expensive. I would highly recommend the package

for anyone who uses mathematics in their work."

"IEEE Expert" on August 1993, Vol. 8, No. 4, page 99, reviewed:

"SymbMath 2.2 is an expert system for solving symbolical math problems

and performing exact numeric computations. It can manipulate complicated

formulas and return answers in terms of symbols, formulas, and exact

numbers. It also learns from users; for instance, it can learn the

integrals of an unknown function from a derivatives of the function. The

shareware version is available from Simtel20 archives on anonymous FTP

sites (rana.cc.deakin.oz.au as /huang/sm22a.zip) or by e-mail from

listserv@vm1.nodak.edu or listserv@ndsum1.bitnet. Student and Advanced

versions are also available."

` `

The "Australian PC World" magazine on 1994 July, page 257,

reviewed "SymbMath - a symbolic calculator that can manipulate

complicated formulas and return answers in term of symbols

in the same category as more expensive programs such as Mathematica."

` `

Newspapers "Campus Review" on July 7, 1994, page 12, published

a review titled "Symbmaths is for serious numbers".

` `

Newspapers "Uniken" on July 29, 1994, page 1, published half-page

of an article titled "SymbMath program takes complex problems out of maths".

Magazine "Computer Market" on September 1994, page 39-40, said:

"Dr Weiguang Huang, who is obviously something of a beaver brain, has

developed a piece of software called SymbmMath 3.1. Based on symbolic math

principles, the program will perform exact numeric, symbolic and algebraic

calculations. It is also clever enough to learn from the user's input, such

as integrals of an unknown function."

The Australian
Association of Mathematics Teachers in "Software Reviews" session
of "**Mathematical Bytes**", Volume 3, Number 2, October 1995,
reviewed SymbMath:

This DOS application is a powerful computer algebra package which supports everything from simplification to integration. It is an Australian product, written by Dr Weiguang Huang at the University of New South Wales, and will perform most of the functions of the power tools in this field (such as Mathematica and Maple) but at a fraction of the cost.

SymbMath creates a Windows-like environment,
with separate Input and Output windows and easy access to help and keyword
menus. Since it operates using a "command-line" structure (with the
user required to enter keywords rather than to choose operations from a menu)
this access to help is very important. While I prefer a simpler approach to
input of both commands and mathematical expressions, this program is well
structured in this regard, and certainly much improved upon earlier versions.

Possibly the most disappointing aspect of
the package is its graphing capabilities, which provide adequate
two-dimensional function, polar and parametric plots. The lack of
three-dimensional capabilities at a time when most competitors are offering,
not only 3-D graphing but animation as well, is unfortunate.

At the same time, SymbMath offers some very
useful and powerful features which complement its quite extensive algebraic
manipulation and calculus capabilities. These include the ability to work with
chemical formulae and equations (Yes - it will solve reaction problems using
chemical symbols and computations involving atomic weights, mass and more!) and
a nice database function, allowing the user to store everything from telephone
numbers to geometric properties of figures. Drawing features are also available
within the graphics mode. SymbMath is also an "expert system",
capable of "learning" from the user during computation. Inputting a
single formula (for example, a derivative) automatically teaches the
corresponding integration rules. This is a powerful and interesting feature.

This program is available from the author in
three versions: shareware ($10), student ($60) and advanced ($99). Each
contains successively more functions. The shareware version, for example, lacks
a "solve" command and all trigonometric functions except sine and
cosine, and so has quite limited application in schools. The student version,
however, lacks only the hyperbolic functions, and so would be quite adequate
for school use. At the price, this represents good value for extensive
algebraic capabilities.

As an assistant in the senior school,
SymbMath appears to offer a range of very useful features at an affordable
price.

** **

**“The HP Palmtop Paper”**,
1999, 8(6), Issue 48, reviewed:

**8.
Symbolic Math**

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 also 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) ).

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

The program runs on the HP Palmtop and does almost everything that Derive can do.

Symbolic Math comes in one of three versions: Shareware, Student, and Advanced. Its three versions are available from the author, Dr. Weiguang Huang.