
What's New on the Mathematics Archives  April 1996 
On this page you will find a chronicle of additions and changes of
the items contained on the Mathematics Archives which were made during the
month of April, 1996.
April 30, 1996
The following links were added to the Mathematics Archives' list of
Mathematics Departments
WWW, Gopher and Anonymous FTP Servers:
April 29, 1996
The following link has been added to the Mathematics Archives' page of
JAVA and
Other Interactive WWW Pages:
 A Calculator to Merge Two Samples
 Use this form to get combined statistics from two sets of sample statistics.
Note: This form uses JavaScript and requires Netscape 2.0 or later.
 Wavelet Cascade Applet
 This JAVA Applet graphs scaling functions and wavelets with two parameters
even and odd. If you are interested, there is a discusiion of the mathematics
behind the Applet. The applet shows the graph of the scaling function or
wavelet, which is defined on [0,3], on top and the parameter space below.
We have added the following links to our WWW page on
Other Software
Sites:
 MIX
Software
 MIX software fits mixture distributions to grouped data by the method of
maximum likelihood. Mixtures of up to 15 components can be fitted, and the data
can be grouped over as many as 80 intervals.
 Stats on the Mac Home Page
 This collection of pages is intended to provide a clearinghouse for
information regarding using the Macintosh for statistical analysis. The
emphasis here is on statistical analysis as used in marketing and other social
science research. It may also be relevant for engineering and hard science
applications but that's not its main focus.
 UnitCalc  A
calculator that keeps track of units
 UnitCalc is a Reverse Polish Notation calculator which does all arithmatic
with the numbers and the units.
 WaveLab
 WaveLab .701 is a library of MATLAB routines for wavelet analysis, wavelet
packet analysis, cosinepacket analysis and matching pursuit. WaveLab has been
used in teaching courses in adapted wavelet analysis at Stanford and at
Berkeley.
The following links were added the Mathematics Archives' page
Sites with K12 Teaching
Materials in Mathematics:
 Challenger Center for Space
Science Education
 Challenger Center for Space Science Education is a notforprofit
organization committed to promoting science, math and technology education.
Partnering with museums, science centers, schools, universities and communities
across North America, Challenger Center uses the theme of space exploration to:
create positive learning experiences, foster interest in math, science and
technology, and motivate young people to explore.
 Ontario Science Centre
 The Educational Programs section at the Ontario Science Centre, "your
partner in math, science and technology education", is offers quality programs
and workshops which have been presented to millions of students and teachers
since their opening in 1969.
We have added the following link to our WWW page on
Numbers:
 Fun with PI
 This page contains some methods to calculate PI to a lot of decimals. It
also contains some programs you can use to try it yourself, all of these
programs were written and tested on my home LINUXsystem. I used one of the
programs on this page to calculate 1.000.000 decimals of PI. (It took 12 hours
on my Pentium60 !) If you are really interested, you can get the file that
contains all the decimals here.
The following links were added to the Mathematics Archives' list of
Mathematics Departments
WWW, Gopher and Anonymous FTP Servers:
April 28, 1996
The following links were added to the Mathematics Archives' list of
Mathematics Departments
WWW, Gopher and Anonymous FTP Servers:
The following entry was added to the research section of the Mathematics
Archives' page for For Undergraduates:
Reed College's Recent
Senior Theses in Mathematics.
April 25, 1996
The following link was added the Mathematics Archives' page
Sites with K12 Teaching
Materials in Mathematics:
 Teacher Talk Forum  Math Section
 Teacher's Edition
Online  Math Section
The following links were added to the Mathematics Archives' list of
Mathematics Departments
WWW, Gopher and Anonymous FTP Servers:
The following entry was expanded:
April 24, 1996
We have added the following link to our WWW page on
Other Software
Sites:
 Neufeld & Associates
 Publishers of The UNDERSTANDING MATH Programs, collection of
programs for interactive learning for grades 610. Topics include algebra,
equations, exponents, geometry and integers. Software is available in both
English and French. Demos are available. The company also provides lessons
plans related to these packages and organizes workshops.
The following links were added to the Mathematics Archives' list of
Mathematics Departments
WWW, Gopher and Anonymous FTP Servers:
April 23, 1996
The following link has been added to the Mathematics Archives' page of
JAVA and
Other Interactive WWW Pages:
 Pythagoras' Theorem
 This page shows an animated geometrical proof of Pythagoras' Theorem. The
three buttons, NEXT, BACK, RESTART, allow you to go through the steps of the
proof.
The following links were added to the Mathematics Archives' list of
Mathematics Departments
WWW, Gopher and Anonymous FTP Servers:
April 22, 1996
The following link was added to the Mathematics Archives' page on
POPMathematics:
 A Visual Dictionary of Special Plane Curves
 Do you know what is a Nephroid? Check out information about this curve
and many other curves. Many graphs are drawn and there are mathematica
and geometry sketchpad notebooks for sketching these curves.
The following link has been added to the Mathematics Archives' page of
JAVA and
Other Interactive WWW Pages:
 Interactive
Linear Programming
 In addition to providing information and links concerning linear
programming, this page lets the user submit a linear programming problem
which it then solves.
The following links were added to the Mathematics Archives' list of
Mathematics Departments
WWW, Gopher and Anonymous FTP Servers:
April 19, 1996
We have added the following links to our collection of
Mathematics Institutes,
Centers and Laboratories:
 Center for Approximation
Theory
 The Center for Approximation Theory (CAT) was founded in September, 1981,
by Charles K. Chui, L. L. Schumaker, and J. D. Ward. During the past fourteen
years, it has grown into a preeminent center of research in approximation
theory and related areas, notably wavelet analysis. The research interests of
the various center members have covered a wide range of topics; the thrust of
current research is in the areas of splines, computer aided geometric design
(CAGD), radial basis functions, and wavelets.
 CMAP  Centre de
Mathématiques Appliquées
 IREM 
Institut de Recherche sur l'Enseignement des Mathématiques
We have added the following link to the WWW page on
Lessons, Tutorials and
Lecture Notes:
 Statistics  The Study
of Stability in Variation
 This is a statistics textbook which is being written by Jan de Leeuw on
the WWW. It includes demos which use XlispStat and includes a number of
pages which have interactive calculators.
We have added the following links to our collection of
Professional Societies:
 Gesellschaft für
Didaktik der Mathematik (GDM)
 This German society has as its major theme the teaching of mathematics.
 SMAI  Société de
Mathématiques Appliquées & Industrielles
 The objectives of this society, formed in 1983, are to contribute to
applied mathematical research, applications in industries and the training
of researchers and engineers.
 SMF  Société
Mathématique de France
The following links were added to the Mathematics Archives' list of
Mathematics Departments
WWW, Gopher and Anonymous FTP Servers:
April 18, 1996
The following links were added to the Mathematics Archives' list of
Mathematics Departments
WWW, Gopher and Anonymous FTP Servers:
April 17, 1996
The following link has been added to the Mathematics Archives' page of
JAVA and
Other Interactive WWW Pages:
 Calculators OnLine  Mathematics
 This the mathematics section of a collection of links to various calculators
on the WWW. Many of the linked pages employ JAVA applets.
The following links were added to the Mathematics Archives' pages on
POPMathematics and
Images and Mathematics:
 The KnotPlot Site
 Here you will find a collection of knots and links, viewed from a (partly)
mathematical perspective. The images here were created with KnotPlot, a fairly
elaborate program to visualize and manipulate mathematical knots in three and
four dimensions.
 Knots on the Web
 This page contains a collections which are divided into three sections:
Knot Tying, Knot Theory, and Knot Art. But knot lovers will understand that
these distinctions are artificial. For example, a good practical knot is both
a nugget of hardwon technology and a thing of beauty. Decorative knotting can
be useful, and in any case requires uncommon dexterity and practical tying
ability.
We have added the following link to our WWW page on
Other Software
Sites:
 Knot
 Knot lets you create large 3D color animations and stills of beautiful
abstract knots. You design the knot's form, colors, motion, backgrounds and
lighting  or design and render entire animations automatically. It's an
endless source of gorgeous moving backgrounds and photocollage elements for
your work.
 MING  The
MDEnergy of Knots
 The problem about computation of knot energy is to find the minimal energy
among all knots isotopic to a given knot. "ming" is the a program which will
try to find the minimal energy by pushing the knot along the direction of its
"energy gradient".
The following link was added to the Mathematics Archives' page on
Lessons, Tutorials and
Lecture Notes:
 A Knot Theory
Primer
The following links were added to the Mathematics Archives' list of
Mathematics Departments
WWW, Gopher and Anonymous FTP Servers:
April 16, 1996
 Journal for Research in
Mathematics Education
 The Journal for Research in Mathematics Education, an official journal of
the National Council of Teachers of Mathematics, is devoted to the interests of
teachers of mathematics and mathematics education at all levelspreschool
through adult. The JRME is a forum for disciplined inquiry into the teaching
and learning of mathematics. It encourages the submission of a variety of
highquality manuscripts: reports of research, including experiments, case
studies, surveys, philosophical studies; articles about research, including
literature reviews and theoretical analyses; brief reports of research;
critiques of articles and books; and brief commentaries on issues pertaining to
research.
The following links were added to the Mathematics Archives' list of
Mathematics Departments
WWW, Gopher and Anonymous FTP Servers:
April 15, 1996
The following link has been added to the Mathematics Archives' page of
JAVA and
Other Interactive WWW Pages:
 The
Vector Cross Product  A JAVA Interactive Tutorial
 This JAVA applet lets the user explore the cross product of two vectors
when one of the vectors is changed.
The following links were added to the Mathematics Archives' list of
Mathematics Departments
WWW, Gopher and Anonymous FTP Servers:
We have added the following link to our WWW page on
Other Software
Sites:
 Interactive
Mathematics
 INTERACTIVE MATHEMATICS is a new series of collegelevel, interactive
multimedia courses being developed by
Academic Systems in collaboration with
faculty from colleges and universities around the country. Interactive
Mathematics is also the first series of courses that take advantage of an
advanced computermediated instructional approach, called Mediated Learning,
which provides a facultyguided, learnercentered environment for improving
student academic achievement. Each course in the Interactive Mathematics series
provides comprehensive mathematics instruction using an engaging
and challenging interactive multimedia environment.
April 14, 1996
We have added the following link to our WWW page on
Other Software
Sites:
 Solutions
 Solutions is a symbolic mathematics software built for engineers and
scientists. Solutions will provide you with 20 classes of functions from
Algebra to Statistics. It will plot and print your work. You can
even program it if you need more power!
April 13, 1996
We have added the following link to our WWW page on
Other Software
Sites:
 William K. Bradford
Publishing Company, Inc
 This page is the Mathematics section of the OnLine K12 Software
Catalog which an extensive listing of the publisher's offerings for all
levels from elementary schools through AP calculus.
April 11, 1996
The following link has been added to the Mathematics Archives' page of
JAVA and
Other Interactive WWW Pages
 Java
Geometry Explorer
 This is the first of a promised K12 Educational Series programmed by Cliff
Pickover to simulate students and teachers of art and math. This JAVA applet
draws the locus of points obtained by moving a chord around a circle.
Other similar pictures are also drawn depending upon the input of the reader.
The following links were added to the Mathematics Archives' list of
Mathematics Departments
WWW, Gopher and Anonymous FTP Servers:
April 10, 1996
New Page!
You will need a browser which supports JAVA to view most of the pages listed
on this page.
We have added the following link to our WWW page on
Other Software
Sites:
 Broderbund Software,
Inc.
 The abovementioned page is a link to the "Kids' software" products.
The software titles are sorted by various categories, one of which is
mathematics. Two of the packages listed are
James Discovers Math
and Math Workshop.
The following links were added to the Mathematics Archives' list of
Mathematics Departments
WWW, Gopher and Anonymous FTP Servers:
April 9, 1996
We have added the announcement about the following workshop to
the Mathematics Archives' page
Conferences and
Workshops for Faculty:
Faculty Enhancement Workshops
Teaching Differential Equations Using a Dynamical Systems Perspective
Boston University, June 25
Oberlin College, June 1619
Vladimir Podnos has upgraded his MSDOS field simulation package
QuickField(TM), formerly known as ELCUT.
The following link was added to the Mathematics Archives' page on
POPMathematics:
 Euler's
Formula: VE+F=2  Ten Proofs
 This page lists proofs of the Euler formula: for any convex polyhedron, the
number of vertices and faces together is exactly two more than the number of
edges. Symbolically FE+F=2.
We have added the following links to our WWW page on
Other Software
Sites:
 Amos
 Amos implements the general approach to data analysis known as structural
modeling, analysis of covariance structures, or causal modeling. This approach
includes as special cases many well known conventional techniques, including
the general linear model and common factor analysis.
 KASH
 KANT is a software package for mathematicians interested in algebraic
number theory. For those KANT is a tool for sophisticated computations
in number fields. With Kash you are able to use the powerful KANT V4 functions
within a shell and you don't need to know anything at all about programming in
C. The main features of the current release are: computations in number fields,
ideals in number fields, relative extensions of number fields, lattices.
 SpaceStat
 SpaceStat, a software program for the analysis of spatial data, originally
developed by National Center for Geographic Information and Analysis, at the
University of California, Santa Barbara, is now available from the Regional
Research Institute at West Virginia University.
 Tera Analysis Co.
 The chief product of Tera Analysis is QuickField  a PCoriented Computer
Aided Engineering (CAE) package for design of ElectroMechanical devices. With
QuickField's multidisciplinary analysis capabilities, you can optimize
electrical, thermal and mechanical features of your designs, all within one
package! In addition, the results of different finite element analyses can
easily be linked together which makes it ideal for simulating
multifield coupling effects. A shareware version of QuickField is available
from the Mathematics Archives.
 WesVarPC
 WesVarPC is a software package that computes estimates and replicate
variance estimates for data collected using complex sampling and estimation
procedures.
We have added the following link in our listing of
Professional Societies:
 The Bernoulli Society for
Mathematical Statistics and Probability
 The Bernoulli Society was founded in 1973. It is an autonomous section of
the International Statistical Institute, ISI. According to its statutes, the
object of the Bernoulli Society is the advancement, through international
contacts, of the sciences of probability (including the theory of stochastic
processes) and mathematical statistics and of their applications to all those
aspects of human endeavour which are directed towards the increase of natural
knowledge and the welfare of mankind.
April 7, 1996
We have added the following link to our WWW page on
Fractals:
 Chaos and
Fractals
 CeVis is well known for its many documents concerning Chaos Theory and
Fractal Geometry. Several books are available which offer an easytounderstand
introduction to these topics. Besides that, there are several video films
available, which are entirely computer generated (e.g. "Fraktale in Filmen und
Gesprächen").
The following link was added to the Mathematics Archives' page on
POPMathematics:
 The Mathematics of
Fermat's Last Theorem
A whirlwind tour of number theory and related mathematical fields that are
relevant to FLT and the concepts that have turned out to be fundamental to its
proof.
The following link was added to the Mathematics Archives' page on
Lessons, Tutorials and
Lecture Notes:
 MultiMedia Statistics Page
 The purpose of this page is to illustrate some statistical concepts using
QuickTime movies.
We have added the following link in our listing of
Professional Societies:
 Association of Christians in the Mathematical Sciences
We have added the following link to our list of
Bibliographies:
April 4, 1996
We have added the following link in our information
for
undergraduates:
LMS
Undergraduate Project Archive is a site established by the London Math.
Society to make available to hardpressed academics a good stock of topics for
undergraduate project work that have been used successfully in other
institutions. Ideally this would mean, for each project, a clear description of
the work involved in the project, a good set of appropriate references and some
indication of the length, level and prerequisites of the project.
We have added the following link in our listing of
Professional Societies:
 Dansk Matematisk
Forening (Danish Mathematical Society)
 Dansk Matematisk Forening was founded in 1873 with the purpose of acting
for the benefit of mathematics in science and education.
The following link was added to the Mathematics Archives' page on
Lessons, Tutorials and
Lecture Notes:
 xwb : XWorkbench
 The program xwb was designed by M. Arbesmeier. xwb is an educational tool
for teaching and experimenting with multigrid algorithms. It features a
powerful graphical user interface (based on InterViews (177kB compressed
Postscript) and Unidraw) with the possibility to manipulate the algorithms
interactively.
We have added the following links to our WWW page on
Other Software
Sites:
 QMG: mesh generation and related software
 The QMG package does finite element mesh generation in two and three
dimensions. The package includes geometric modeling software, the mesh
generator itself, and a finite element solver. The software is written
primarily in C++ and matlab.

The Multigrid Workbench
 This version of the multigrid workbench is a WWW resource providing
information about multigrid methods. The workbench teaches the basic principles
of multigrid by explaining the steps of a prototype multigrid method giving
graphical representations of all intermediate results. The workbench can be
used for a selfguided tour through multigrid, but it may also contain useful
information for instructors looking for material to use in mathematics or
science courses.
April 3, 1996
We have added the following links to our WWW page on
Other Software
Sites:
 Cabrigéomètre
 Cabrigeometry is the product of research activity at the Université
Joseph Fourier de Grenoble and at CNRS, in the laboratoire de Structures
Discrètes et de Didactique. From the Mathematics Archives pages on
Cabrigeometry: Cabrigeometre is an Interactive Notebook to Teach and Learn
Geometry. With this package, you perform rulercompass constructions
and then pose questions. You can ask whether lines are parallel or
perpendicular. You can compare measures of objects (area, length,
angular measurement). An especially nice feature is the ability to
move points used as references in constructions and the figure
changes appropriately. With this you can examine the trace of a
point to find the locus of points, say equidistant from a given
point and a given line.
 CABRI GEOMETRY II
 The interactive software for Geometry  Alter geometric figures on the
screen. Students can see patterns, make conjectures, and draw their own
conclusions. Discover geometric dependencies in the figures students construct.
Display the equations of basic geometric objects including lines, circles,
ellipses, and coordinates of points.
April 2, 1996
The following link was added to the Mathematics Archives' page on
POPMathematics:
 John Conway's
Game of Life  Patterns, Programs, and Links
 A page of odds and ends about Conway's Game of Life. This page now contains
descriptions of files which are made available for ftp, links to Life resources
available elsewhere on the Internet, new results and patterns not archived
elsewhere, and a browsable hypertext catalog of Alan Hensel's archive of Life
patterns, including a hypertext version of his Life glossary. All the patterns
except those in the glossary are Javaanimated.
April 1, 1996
The following link was added to the Mathematics Archives' page on
Lessons, Tutorials and
Lecture Notes:
 New Mexico State
University

The following link was added to the Mathematics Archives' page on
POPMathematics:
 Pentominoes
 Learn about pentominoes and the patterns they create and what pentominoes
have to do with Escher, Penrose, Logic,Impossible Objects, Mathematics and Art.
The following link was added to the Mathematics Archives' page on
Bibliographies:
The following links were added to the Mathematics Archives' page on
Images and Mathematics.
 Animated
Drumheads!
 These are animations of a two dimensional vibrating circular membrane (I
prefer just "drumhead", actually). The equation is a standard problem in
partial differential equations, and I have used these animations to
successfully (I think) explain atomic orbitals.
 Fermat Project
 Images used in a popularized introduction to Fermat's Last Theorem, a
famous recently solved problem in number theory. Three dimensional mathematical
depictions are used in the beginning of the film to illustrate the meaning of
the mathematical ideas involved. The second half of the film makes a transition
to show a remarkable family of four dimensional surfaces related to Fermat's
theorem, and projects them to three dimensions for display using standard
rendering and shading techniques.
 Fluid.Dynamics Project
 Images from an animation which was created by Thierry Dubois and Jacques
Laminie of the Institute for Scientific Computing and Applied Mathematics at
Indiana University using AVS on fluid dynamics computations and was recorded to
video tape at CICA. The flow considered here is a twodimensional homogeneous
flow where the governing equations are the NavierStokes equations,
supplemented with periodic boundary conditions in both spatial directions.
 4Dice
Project Movies
 An MPEG movie of the 4Dice animation from the Center for Innovative Computer
Applications. A glimpse into the fourth dimenion depicting a fourdimensional
die with its 3D faces and dots.
 Hyperbolic
Motion, Fractal Octupus, etc.
 MPEG animations by Yoshiaki Araki.
We have added the following links to our WWW page on
Other Software
Sites:
 cGOP
 cGOP is a package for rigorously solving nonconvex optimization
problems to epsilonglobal optimality. The package implements the GOP
algorithm (Floudas and Visweswaran, 1993) which is a primaldual
decomposition algorithm applicable to general constrained biconvex
problems, using a set of C subroutines to solve these problems
using decomposition and branchandbound techniques.
 Poliplus
Software
 Poliplus Software is a Canadian company specializing in Applied Computer
Algebra and Geometry. It is the publisher of two packages : Formulae 1,
which is a powerful, yet very easy to use Computer Algebra System (CAS)
designed specifically for the teaching and exploration of mathematics and
Euclid which provides functionality similar to that of Cabri II Geometry
and uses the same symbolic engine as Formulae 1, thereby allowing new features
to be designed based on Symbolic Computation.
The following link was added the Mathematics Archives' page
Sites with K12 Teaching
Materials in Mathematics:
 Educational
Standards and Curriculum Frameworks for Math
 Developing Educational Standards is an annotated list of Internet sites
with K12 educational standards and curriculum frameworks documents, maintained
by Charles Hill and the Putnam Valley Schools in New York.
 The Math Tutor
 This is Calgary's Math Tutor. We are still under construction, but the long
term plan is to develop a site that contains thousands of worked out examples
taken from student queries. Each will be catagorized according to grade level
and topic. Since Calgary's Math Tutor is just going online many of the links
you see are nonfunctional, or lead to small numbers of examples. You can
change this! Online queries are free! Response times can not be fully
guaranteed, but we expect 24 hrs will be the usual turn around time.
Chronicles for the previous month: