MathUser
Fall 1993

Contents

Notebooks for Unix Systems
Mathematica Days
Solving Differential Equations
Mathematica Font Development
Five-year Retrospective
MathLink for Excel and LabVIEW
MathSource Update

Articles

Mathematica  Notebooks Coming to Unix Systems

Macintosh, Microsoft Windows, and NeXT users have long enjoyed the benefits of Mathematica's front end, the sophisticated user interface that incorporates on-line help, a function browser, and most notably, notebooks. Now, after an extensive development  effort, these features will be available to Unix users as Wolfram Research announces the release of a Mathematica front end for the X Window System.

Mathematica notebooks give Unix users a powerful communication tool as well as a convenient electronic medium for sharing work with Mathematica users on other platforms. Notebooks are designed to be compatible across multiple platforms. A notebook created on a Macintosh, for example, can be opened on a Unix machine, look almost identical, and operate in just the same way.

X Front End Features

While Mathematica front ends are compatible across multiple platforms, each version of the front end is also designed to take full advantage of the specific environment of each platform. So in addition to all the standard Mathematica notebook features that users are accustomed to, the new X front end supports client-server memory management capabilities and gives users the ability to import GIF and X Window Dump (xwd) graphics files.

Available This Fall

The X front end will be available this fall for Sun SPARC, Silicon Graphics, Hewlett-Packard, DEC RISC, and IBM RISC computers. If you are a Mathematica Plus subscriber, you will automatically receive the new X front end. (The front end is complimentary for current subscribers and is not considered one of the two updates provided under the Mathematica Plus program.)

Customers who have not yet joined the Mathematica Plus program can receive the X front end by subscribing to the program. Simply submit the form that came with your copy of Mathematica or place a credit card order by telephone with Wolfram Research. The subscription price is printed on your license certificate and includes two Mathematica
updates.

Features of Mathematica Notebooks

Here are a few of the things you can do with Mathematica notebooks:

- Add notes, introductions, explanations, and conclusions to your work as easily as you would with a word processor.

- Use outlining capabilities to organize your document into sections with titles, headings, subheadings, and multiple fonts.

- Cut and paste items in the notebook to reuse or modify calculations, text, and graphics.

- Import and export graphics in PostScript, bitmap, Encapsulated PostScript, and other standard graphics formats.

- Prepare impressive presentations, interactive courseware, and documents for electronic publishing.

- Create publication-quality technical reports, articles, and even entire books.

1993 Mathematica Days

Coming this fall to cities in the U.S. and in Europe, Mathematica Days are one-day seminars designed to give attendees valuable training and a practical introduction to Mathematica.

If you are just getting started with Mathematica or would like to learn more about how others in your field are using the system,  Mathematica Days offer you the perfect opportunity. If you have colleagues who are interested in learning how Mathematica can benefit them at work, we encourage you to bring them as well.

Beginning with an opening address by Stephen Wolfram, each Mathematica Day will feature tutorials covering a range of topics (see below) and a series of panel discussions with local experts in engineering, education, and finance. Panel members will discuss how they use
Mathematica to enhance their work. In addition, open Mathematica computer labs will give attendees a chance to practice new techniques and consult Wolfram Research technical staff about specific questions or applications.

Tutorials

Introduction to Mathematica: Learn to solve equations, visualize data, and manipulate polynomials, power series expansions, matrices, and graphs.  

Programming with Mathematica: Learn to create functions and programs to customize Mathematica for your specific applications.

Mathematica Graphics: Learn to visualize data, create custom plots, animations, and sounds, and generate presentation-quality output.

Using Mathematica Notebooks: Learn to create courseware, project reports, technical presentations, and publication-quality documents.

Interfacing Mathematica with External Programs: Learn to use MathLink to connect Mathematica to external programs.  

Advanced Topics: Understand the fundamental structure of Mathematica in order to make maximal use of the system's power.

If you would like to more information about the Mathematica Days,please send an email request to conf@wri.com in the U.S., or conf-euro@wri.com in Europe.

Workshops and Training

Mathematica Programming Course at the University of Erlangen August 10-20. 
For information contact Christian Jacob, c/o Chair of Programming Languages, University of Erlangen-Nuremburg, University of Erlangen, CS IMMD II, Martensstrasse 3, 8520 Erlangen, Germany; email: jacob@informatik.uni-erlangen.de.

Mathematica Workshops by Variable Symbols Mathematica training by Nancy Blachman, author of Mathematica: A Practical Approach.  Santa Clara, CA, August 29-September 1; Boston, MA, November 9-11. For more information call 510-843-8701; fax: 510-843-8702.

Mathematica Presentations and Mini-Courses at the International Conference on Technology in Collegiate Mathematics (ICTCM) Parsippany, NJ, November 5: Mathematica in Mathematics Education; November 7: Introduction to Mathematica--both by Wolfram Research staff. November 4-7: Introduction to Programming with Mathematica by Nancy Blachman. For more information call Kenneth Wolff of Montclair State at 201-655-5132.

Analysis and Modeling of Environmental Data with Mathematica 5th Workshop in Environmetrics: November 18-19. For information contact Ludwig C. Ries, German  Association of Geoecologists, Department of Environmetrics, Wuermtalstrasse 8, 8000 Munich 70, Germany; telephone: +49 (0)30 890 3 2757.

Mathematica Workshop for High School Teachers at Lampasas High School, Lampasas, TX, October 11 and 25: by Mike Mezzino (University of Houston). For information call Martin Brubaker at 512-556-6224.

If you are sponsoring a Mathematica workshop and want to announce it here, please send email to mathuser@wri.com.

MathLink Connects to Excel and LabVIEW

MathLink  for Excel

Wolfram Research has developed a program that allows an Excel worksheet to be a front end to the Mathematica kernel.

This Excel add-in uses MathLink to make the connection to Mathematica. Available later this fall for use on both Macintosh and Microsoft Windows, the add-in defines a library of Mathematica functions that enables Mathematica to interact with Excel. The Excel function
MathLink can be used directly within a worksheet to return values from Mathematica. MathLink can also serve as a foundation for building Excel macros. Several hundred such macros are included with the add-in.

In addition, the Excel add-in defines special Mathematica functions available from within Excel to provide rapid transmission of Excel cell ranges to and from Mathematica.

Applications
The MathLink add-in for Excel will be useful to people who are familiar with the Excel worksheet interface but want to use the computational power of Mathematica. Linking to Mathematica provides direct access to Mathematica's extensive set of high-quality
mathematical functions such as hypergeometric functions, orthogonal polynomials, and scores of special functions, as well as its arbitrary-precision arithmetic. Excel users can also now incorporate Mathematica programs into Excel macros, integrating the power of Mathematica's programming language with the familiar spreadsheet interface. Complete Mathematica packages can be prepared as worksheets and then loaded into Mathematica.

MathLink for LabVIEW

National Instruments has announced the availability of MathLink extensions for its LabVIEW laboratory data acquisition system. These LabVIEW VIs (virtual instruments) communicate directly between LabVIEW and Mathematica.

With the new VIs, which are built on top of MathLink, LabVIEW users can now build applications that exchange data directly with Mathematica. This gives LabVIEW access to all of Mathematica's built-in functions and capabilities. A user can, for example, have LabVIEW send a two-dimensional array of numbers to Mathematica, ask Mathematica to
apply its Eigenvalues function to these numbers, and then send back the answer to LabVIEW.

For more information about the LabVIEW VIs, either contact National Instruments or send a message to mathlink@wri.com.

Site Licenses Increase Availability of Mathematica on Campus

The Mathematica site license programs introduced last January continue to be an outstanding success, with universities, colleges, and high schools of all sizes around the world installing Mathematica campuswide. Now even more faculty and students are discovering the benefits of Mathematica's mathematical capabilities, notebook interface, and programming language as they incorporate Mathematica into classwork, courseware development, and research.

Some of the schools that have recently acquired Mathematica campus-wide site licenses include Virginia Polytechnic, California Air Force Academy, Colorado School of Mines, University of Houston, University of California-San Diego, University of Minnesota, Boston
College, MIT, Imperial College of Science and Technology (UK), National Taiwan University, Science University of Tokyo, Justus-Liebig Universitt (Giessen, Germany), Technical University of Vienna, Universidad de las Americas (Puebla, Mexico), Universitat De Barcelona, Universit de Paris, and Humbolt University in Berlin.

In keeping with our continued commitment to education, these flexible site license programs are designed to meet the needs of schools of various sizes and budgets. To find out more about bringing Mathematica to your campus, contact Wolfram Research by telephone or send email to education@wri.com. In Europe, use education-euro@wri.com.

Volume-based site license

The volume-based site license program enables academic institutions to purchase large quantities of Mathematica at savings of up to 70%. Administration is easy because each Mathematica license is maintained by the individual user. Under this program, students and faculty members can also buy Mathematica at the same discount for personal use.

Unlimited site license

Unlimited site licenses are a cost-effective way to provide Mathematica to an entire campus. We provide software masters for each different computer platform, and the school then duplicates and installs Mathematica on all campus computers. Regardless of how many
machines are supported, a set renewal fee makes budgeting easy. Schools have the added convenience of being able to install Mathematica on new machines without contacting Wolfram Research. Pricing for an unlimited site license starts at $20,000 and is based
on the size of the student population.

Educational grant program

Since the initiation of the Mathematica educational grant program in 1990, over 400 colleges and universities have established computer labs under the program for developing and teaching courses based on Mathematica. The program enables academic institutions with
Mathematica teaching labs to purchase Mathematica at significant discounts.

Workgroup Packs

At corporations and research labs, there are often teams formed to handle specific projects or research areas. Wolfram Research now offers Mathematica workgroup packs to make it cost-effective for whole teams in such environments to obtain single-license copies of
Mathematica for their individual Macintosh or MS-DOS machines. Workgroup packs are available for groups of five and ten users through dealers as well as through Wolfram Research. For pricing information contact your local Mathematica reseller, or Wolfram Research.

Solving Differential Equations with Mathematica

Differential equations are widely used in science, engineering, and numerous other areas to study processes that are continuous in space or time. The DSolve function in Mathematica finds solutions to ordinary differential equations (ODEs), systems of ODEs, and first-order partial differential equations (PDEs) using a set of powerful and general algorithms.

Mathematica reproduces virtually all the closed-form solutions found in classical reference books such as Kamke, but DSolve does not just contain a table of specific cases. Rather, it is a collection of flexible algorithms that allow Mathematica to solve a vastly greater
range of equations than could ever be listed in a book. For example, Mathematica applies coordinate-independent techniques to recognize solvable equations in cases where no person could hope to stumble across the right manipulation.

Among the types of differential equations that Mathematica currently handles are: linear homogeneous and inhomogeneous equations, variable coefficient and nonlinear equations up to the second order, and variable coefficient and nonlinear systems of equations up to the
third order. Mathematica Version 2.2 introduces a new package that solves first-order PDEs. Where no symbolic solution can be found, one can always use Mathematica's NDSolve function to get a numerical approximation.

(For an outline of methods used in DSolve, see tutorials by A. Bocharov and by  J. Keiper and D. Withoff  in the 1992 Mathematica Conferences Tutorial Notes, and the article by A. Bocharov in the Spring 1993 Mathematica Journal.)

Mathematica History

June 23, 1993 marked the fifth anniversary of the release of Mathematica. We took this opportunity to reflect on the events and achievements of the past five years. Below are some of the highlights of Mathematica's history.

1986

Mathematica Development started

1987

Wolfram Research, Inc. founded

1988

June 23rd Mathematica Version 1.0 debuts to wide acclaim, defining a new category of software. New York Times:,"The importance of theprogram cannot be overlooked ... it so fundamentally alters the mechanics of mathematics."

Mathematica officially announced at press conference in Santa Clara, CA, attended by IBM, Apple Computer, Sun Microsystems, NeXT, Silicon Graphics, and others.

Stephen Wolfram's book, Mathematica: A System for Doing Mathematics  by Computer, published by Addison-Wesley and becomes a technical book  bestseller

Calculus&Mathematica course begins at University of Illinois

1989

Mathematica Version 1.2 is available for 9 Unix platforms as well as for the Macintosh and MS-DOS

Mathematica wins 8 industry awards to date

Engineering becomes the single most common use of Mathematica, followed by computer science, the physical sciences and mathematics

Programming in Mathematica by Roman Maeder published

Mathematica is in use on 6 continents

1990

First Mathematica Conference held in Redwood City, CA

Company is reorganized to emphasize direct sales rather than distribution through hardware vendors

Japan grows to nearly 10% of the Mathematica market

Mathematica Educational Grant Program launched

Mathematica Student Version released

First issue of The Mathematica Journal published

First complete book (Gray & Glynn) published on paper and CD-ROM entirely with the Mathematica Front End

MathTensor announced, first major third-party package developed for users with Mathematica

Mathematica is in use in more than 50 countries

1991

Second edition of Stephen Wolfram's Mathematica book published

Mathematica Conference held in San Francisco

Mathematica 2.0 released, adding 283 new built-in functions to thesystem

Mathematica Version 2.0 repeatedly praised in industry and scientific magazines. American Scientist writes: "Mathematica is not just a computer program; it is a cultural artifact, a medium of self-expression and a consuming passion."

MathLink communications available

Mathematica is in use at all 50 of the largest Ph.D.-granting universities in the U.S.

First issue of Mathematica in Education newsletter published

Mathematica is in use at 13 of the 15 departments of the U.S. government

Stephen Wolfram's Mathematica book published in Japanese

Total of 13 books on Mathematica have been published

Mathematica appears in the credits of two major feature films

1992

Mathematica 2.0 for Microsoft Windows released

Mathematica worldwide conferences held in Boston, Rotterdam, and Tokyo

Version 2.1 released: faster, lower memory requirements, new packages, and extensive enhancements of MathLink

Japanese-language version of Mathematica released for NEC PC 9801

Total of 26 versions of Mathematica are available for different kinds of computer systems

Mathematica wins 37 industry awards to date

Mathematica academic site purchase programs launched

Over 400 colleges and universities now have Mathematica labs

Mathematica is in use at all the top 100 brokerage firms in the U.S.

MathSource goes on line

Mathematica starts to become widely used in high schools around the world

Stephen Wolfram's Mathematica book published in German

Total of 30 books on Mathematica have been published

Mathematica is permanently on display at several major science museums around the world

Version 2.2 released: partial differential equations, sparse linear systems, online manuals, and a function browser

First Mathematica Developer Conference held at Wolfram Research, Inc., in Champaign

MathSource averages nearly 2000 sessions a week, with email and ftp access

Mathematica books have appeared in 9 languages

Mathematica is references explicitly in 383 published scientific papers, and is mentioned in thousands more

Mathematica is in use at 49 of the top 50 Global Fortune 500 companies

Mathematica is being taught as a programming language to computer science students in many universities

Total of 48 books on Mathematica have been published

Estimates indicate that well over 1 million people have used Mathematica to date

and more to come...

Development of a Mathematica Font

Current versions of Mathematica leave the task of producing final typeset mathematical equations to other programs such as TeX. But for several years now, Wolfram Research has been developing an interactive typesetting capability to be integrated directly into Mathematica. As a part of that process, we have found it necessary to design a new mathematical font that fits better with common typefaces that are widely used on computers today, such as Times Roman and Palatino. Our intention is for this new font to contain as complete a collection of mathematical symbols as possible. On these pages we present our current designs for some of these symbols. All the characters shown here will also be available in boldface form. In addition to the characters shown here, there will be complete Gothic, script, and doubled alphabets in regular and bold weights as well as a variety of other characters.

There will be several ways to enter each character. The character Alpha, for example, can be typed either as \(Alpha), the sequence ESC a ESC, or picked from a palette. (For TeX users, typing the sequence ESC\alpha ESC will also work.)

We plan to make our font the definitive typeface for mathematical typesetting, and we encourage your involvement in its development. We are very interested in receiving feedback from Mathematica users about symbols that should be included, symbol names, and the rendering of
the symbols shown here. Please send your comments by email to fonts@wri.com (NeXT mail accepted) or by fax to 217-398-0747.

(* The font characters have been deleted. To request a hard copy ofthis newsletter, send an email request to mathuser@wri.com.*)

Technical Support Policy

Wolfram Research provides technical support for the current and immediately previous versions of Mathematica.

The current shipping version is 2.2. If you are using Mathematica on a computer system for which Version 2.2 is not available, and plan to upgrade to a supported computer system, just contact Wolfram Research to transfer your Mathematica license to the new system.

Current 2.2 Versions

Computer system:       Operating system versions currently supported:

Apple Macintosh        System Software 6.0.7 or later, or A/UX; 	
                       System 7.0 compatible

Microsoft Windows      MS-DOS Version 3.0 or later; 	
                       Microsoft Windows 3.0 or later

MS-DOS                 MS-DOS Version 3.0 or later

CONVEX                 ConvexOS 10.2 or later

Digital Equipment      VAX/VMS 5.0 or later;
                       RISC ULTRIX 2.3 or later

Hewlett-Packard        HP-UX 8.0 or later

IBM RISC System/6000   AIX 3.1 or later

MIPS Systems           RISC/os (UMIPS) 4.5 or later

NEC                    EWS-UX/V (Rel. 4.0), NEC Release 4.1 Rev 06

NEC PC 9801            MS-DOS Version 3.0 or later;	
                       9801RA requires MS-DOS Version 5.0 or later

NeXT                   NeXT 0S 2.1 or later

Silicon Graphics       IRIX 3.3 or later

Sony                   For CISC NEWS, NEWS 3.3C or later	
                       For RISC NEWS, NEWS 4.1R 

Sun                    SPARCstations, SunOS 4.1 
                       Solaris 2.0 or later

New Versions Released

Sun Solaris 2.0: Mathematica for Sun Solaris 2.0 and later is now available.

DEC VAX/VMS: Mathematica Version 2.2 is now available for VAX/VMS.

New Versions Under Development

Wolfram Research is continually working on making Mathematica available on a wide range of computer systems. Our efforts in this direction typically begin long before a new system is publicly
announced. Here are a few of the systems on which Mathematica is currently under development. Specific release dates and pricing have not yet been set.

Windows NT
Versions of Mathematica are being developed for Windows NT on the three architectures that Windows NT supports: Intel, MIPS, and DEC Alpha.

DEC Alpha
An OSF Unix version of Mathematica for Digital's Alpha architecture is being built.

PowerPC
We are working closely with Apple Computer to develop a version of Mathematica for the upcoming PowerPC processor-based Macintosh systems.
 
NEXTSTEP Intel 486
We received many requests from customers to produce a version of Mathematica running under NEXTSTEP for Intel. This version is now being tested.

OS/2
Mathematica Version 2.2 for MS-DOS currently runs under OS/2 v2.0. Mathematica for Microsoft Windows runs under OS/2 v2.1. Thanks to the significant user interest generated in response to our inquiry in the last issue of MathUser, planning for a native port to OS/2 has begun.

What's New in MathSource

MathSource is an electronic resource of Mathematica material (packages, notebooks, documentation) maintained by Wolfram Research, Inc. To get information about MathSource send the email message Help Intro to mathsource@wri.com. For a summary of a particular MathSource
item, send the email message Find itemnumber. To get the item itself, Send itemnumber.

Here is a partial list of MathSource items that are new or have been
updated since May 1, 1993.

0205-388: 1993 Mathematica Days Information
0205-030: Anneal: A Simulated Annealing Algorithm for Combinatorica Graphs in Mathematica
0202-598: Articles About Mathematica
0205-018: Articles Using Mathematica
0205-197: Automata
0205-377: BatchRead: An Extension of Get to Display and Record the In & Out
0205-412: Beam Statics Package
0205-232: Binhex  5.0 for Macintosh
0205-254: C, FORTRAN77, Maple and TeX Code Generation Package
0205-131: Caustic Calculations
0205-085: CirclePack
0204-310: CleanSlate Package
0200-462: Colors
0205-456: Context-Free Grammars
0202-611: COSY-PAK: A symbolic COntrol SYstems analysis PAcKage V0.9
0205-041: Delaunay Triangulation Package
0205-175: Descartes-Geometry
0204-961: Developer Tools for Applications Package Testing
0205-221: Differential Forms Package
0205-399: Economic and Financial Modeling with Mathematica
0205-276: An Efficient Implementation of the Patterson-Holdsworth Auditory Filter Bank
0205-311: Elastic Pendulum
0205-210: Elementary Matrix Decomposition Package
0205-333: ExactNumber.m: A Package to Improve the Handling of Mixtures of Exact and Inexact Numbers
0205-355: Extended Portable Bitmap Toolkit
0205-007: Function Branch Cuts and Continuity
0205-490: Generating the Koch Snowflake with Mathematica
0205-401: Geometry in Motion
0205-557: Gradshteyn and Rhyzik Errors found with Mathematica
0205-074: Heisenberg
0205-300: An Implementation of Groebner Bases in Mathematica
0202-239: Interactive TeX/Mathematica Documents
0205-502: The Kaiser Window
0205-108: The Knife: A Dimension Splicer
0203-207: Literature Survey of Mathematica
0204-804: Major New Features in Mathematica Version 2.2 (Technical Report)
0205-153: Major New Features in Version 2.2 of the Macintosh Front End
0204-994: Major New Features in Version 2.2 of the Windows Front End
0205-243: MathChat 1.0
0205-322: Mathematica in Education Volume 2, Number 3
0205-029: Mathematica Integration Verification Procedure
0205-434: MathLink / Fortran connectivity tools Q Preliminary Version
0204-972: MathReader V2.2: A Mathematica Notebook Reader for Windows
0205-164: Molecular Graphics Package 1.0
0205-467: Motif applications for HP 9000 Series 700 computers: motifps, mathbook.M, and xregcard.M
0205-423: MSDOSPS.EXE for Mathematica 2.2.1 for MS-DOS
0205-298: Nixpub: Public Access Unix Site Listings
0200-945: Number Theory Functions
0205-186: Object-Oriented Programming in Mathematica
0205-119: Parallel Curves, Surfaces, and Evolutes
0205-120: Parallel Surface MinneView Data-File Generation
0205-524: Parametric Equalizer Design Using Pole-Zero Pairs
0205-344: Perturbation Theory Package 1.0
0202-127: The Problem of the Knight: A Fast and Simple Algorithm
0200-956: Provable Primality Testing
0205-063: Randomness in Arithmetic: Code from "Algorithmic Information Theory"
0205-265: A Review of Filter Design
0205-287: Routines for Real-Time (Live) Animation of 3D Objects
0204-411: Self-paced Electromagnetic Notebooks
0205-445: Spirograph
0205-209: Symbolica Package Q Beta Version
0205-489: Touch Tones
0204-826: Two Dimensional Simple Ising Model Simulation
0205-478: Water Drop Movie
0205-513: The Window Method for FIR Digital Filter Design
0205-142: X Mathematica PostScript Interpreter for HP-9000 Series 300/400 Platforms

Heterogeneous Network Licenses

Say your department has several Sun, SGI, and HP workstations, and you would like to use Mathematica on all of them. Mathematica's network license server is now capable of distributing processes across a network of heterogeneous Unix workstations. This means that instead of installing single-user licenses on each system or a network license for each architecture, you can install one network license to serve all three types of workstations. This makes maintenance and upgrading easier to administer. All you need to do is select which workstation you'll use as a server, and get the appropriate Mathematica binaries for each architecture from Wolfram Research. You can still limit the network license to allow a specific number of users, and increase the number of users (processes) when needed, simply by getting a new password from Wolfram Research. You are also able to limit the number of users for a given workstation architecture.

If you are interested in converting your present Mathematica 2.2 Unix licenses to a heterogeneous network license, all you need to do is contact User Services at 217-398-5151 (or email: register@wri.com) to arrange for a system transfer.

For further information please call the Wolfram Research Sales Department at 217-398-0700 or email info@wri-com. In Europe call +44-(0)993-883400 or email info-euro@wri.com.

About MathUser

MathUser is published by Wolfram Research to provide news and information about Mathematica to registered Mathematica users. MathUser is also available free of charge to other people interested in Mathematica. To be added to the list of subscribers or to submit a change of address, send your postal address information by email to mathuser@wri.com, or call 217-398-6500. Giving your license number will help us update our records more efficiently. Back issues of MathUser are available on MathSource.

Your comments and suggestions are important to us. Send letters to the editor at the address below. We are always interested in hearing ideas for topics to be covered in MathUser.

How to Contact Us

Wolfram Research, Inc.
100 Trade Center Drive, Champaign, IL 61820-7237, USA
phone: 217-398-0700; fax: 217-398-0747; 
user services: 217-398-5151; technical support: 217-398-6500

Wolfram Research Europe Ltd. 
Evenlode Court, Main Road, Long Hanborough, Oxon OX8 2LA, UK
phone: +44-(0)993-883400; fax: +44-(0)993-883800

Internet email addresses
General and sales information: info@wri.com 
European information: info-euro@wri.com 
Customer service: orders@wri.com 
User registration: register@wri.com 
Technical questions and support: support@wri.com 
European technical questions and support: support-euro@wri.com 
Mathematica bug reports: support@wri.com 
Mathematica suggestions: suggestions@wri.com 
MathSource: mathsource@wri.com
This newsletter: mathuser@wri.com

Wolfram Research, Inc., 1993. MathUser (ISSN 1062-7030) is published quarterly by Wolfram Research, Inc., 100 Trade Center Drive, Champaign, IL 61820-7237, USA; email: mathuser@wri.com.

Mathematica and MathLink are registered trademarks, and MathSourceand MathUser are trademarks of Wolfram Research, Inc. Mathematica is not associated with Mathematica Inc., Mathematica Policy Research, Inc., or MathTech, Inc. All other product names mentioned are
trademarks of their producers.

Correction

In MathUser #3, the ISBN given for Gerd Baumann's Mathematica in der theoretischen Physik is incorrect. It is ISBN 3-540-56210-9.