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1 total messages Started by Corne Tue, 06 May 1997 00:00
New analytical mathematics package: Mathemania
#533
Author: Corne
Date: Tue, 06 May 1997 00:00
98 lines
5139 bytes

MATHEMANIA RELEASED

Mathemania can be found on Simtel.Net in
	
	/pub/simtelnet/win95/math

It is called MTH.ZIP and should be unzipped using pkzip with the -d option.

Mathemania is a Windows Application Program written specifically for students 
in the field of  Mathematics. High school to university level students, and 
even professionals would  benefit from its use.

Mathemania pioneers a revolutionary new way in solving mathematical problems 
analytically. Being a virtual mathematics work surface, it allows you to 
solve problems with the 'ease and spontaneity'  of intuitive Windows drag 
and drop manipulations. Your solutions are precise and error free.

It is in the spirit of Mathemania to assist the you in only individual steps 
of a problem and to prevent you from making mistakes. It is however still up 
to the you to solve the problem. For this reason Mathematics Departments may 
encourage its use.

Mathemania acts as a slave which handles the intricacies and trivialities of 
algebra. This allows the user to focus more on the problem at hand and 
thereby encourages lateral thinking.

It is much faster and easier to use Mathemania to solve a problem rather than 
using pen and paper. You only type in the original expression once, all 
derived expressions are obtained by ergonomically interfaced mouse 
manipulations. If you come to a dead end in your working you can restart 
from any point in your calculation in a matter of two mouse clicks.

The entering of expressions is easier and faster than ever before due to 
automatic typing correction, undo and redo capabilities, ambiguity 
prevention, as well as context sensitive keystroke translation. All 
mathematical objects are displayed in the fashionable WYSIWYG style which is 
far superior to a confusing command line equivalent. You also do not need to 
scan tediously through menus in order to find an integral or limit object 
for example, just type i n t (or ctrl I), or l i m.

Interactive tutorials teaches the user how to use the program. The tutorials 
tackle sample problems in a step by step manner, instructing the user exactly 
what to do. Although the tutorials accompanying the program are designed to 
tutor the use of the program specifically, Mathemania tutorials could serve 
as an educational tool for academic institutions to teach scholars in 
mathematics.


Some special features:
Integration:    by parts
		using tables 
		by substitution
		by partial fractions, competing square, factoring, 
		   long division
Derivatives:    Normal and Partial derivatives (multiple order)
		Done at once or in steps
Matrices:       Augmented matrix manipulation
		Determinant manipulation
Graphing:       Implicit two dimensional relation 
		Piece wise defined functions
		'Animated' families of curves (only allowed for 
		    parametric graphs and functions)

Mathematics is an extremely vast field. Needless to say, there are still 
aspects which are not exhausted by this version of Mathemania. Here are 
some areas that are not covered sufficiently by the current version:
Complex analysis (except for basics)
Differential equations
Set theory
Hyperbolic trigonometric functions
Integration by changing coordinate system (for multiple integrals)

This is not a big constraint, since all that is required to solve related 
problems (as well as  Fourier Analysis and Laplace Transforms) is a little 
more organization on the user's part. Alternatively Mathemania could be used 
as a tool in solving parts of a problem.

Minimum System Requirements
Mathemania is compiled to run on 286 with 1MB of RAM, although you would 
find that you could not use the program effectively on such a machine. A 
colour monitor (pref. at 800 by 600 or higher resolution) and mouse is 
strongly recommended. Mathemania is guaranteed to fail (appear buggy) on 
Windows 3.1 or Windows NT machines, even though Mathemania is a Windows 3.1 
application.
CPU:            486
Memory:         4MB, pref. more
OS:             Microsoft Windows 95
Misc.:          Mouse, Colour monitor
Disk Space:     1.3MB

Note
This is the first version of Mathemania. Although Mathemania has been 
thoroughly tested, we cannot guarantee its reliability.

Corne van Dyk
dvandyk@engmlab.uct.ac.za
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