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I hear, and I forget,
I see, and I remember,
I do, and I understand...

- Ancient Proverb

A Theorem is the object of a vision

-- Rene Thom

A virtual Dodecahedron
Easy to build in Mathwright32

Three Dimensional Tic-Tac-Toe game board in Mathwright32. Rotate it, translate it, fly into it, or around it, it's hard to beat it.

     

Students! Check out our Puzzlers. If you have a solution to one of these, send it along to us. We will publish the solutions on this page along with the author's name. The ratings vary from 1 to 10.

Here, 1 is challenging for High School students, and 10 is challenging for Ph.D.s

Student Individual members of the Library are invited to talk to a teacher at the Library about questions they have concerning topics that arise in any of the Microworlds or WorkBooks here. Just click here and send your message. We will try to respond promptly.

Library Puzzler #1 (rated 2)

Do you see the Golden Ratio?

Welcome to the Student Center!

Did you ever wonder what Calculus is really about? Where did it come from, and why? It is not likely that you will learn the answers to those questions in a textbook. If you are curious and want to know, then our free 500 page book, Calculus in Action may be for you.

The book, which consists of 49 lectures and 43 Interactive Explorations, is presented in 10 Mathwright Microworlds. All of the text (500 printable pages) is contained within the Microworlds. The hypertext version is free for everyone, and the PDF version as well as the interactive Microworlds are available only to Library members. And our book is not for the faint of heart. It is not a textbook, and you will find it far more challenging and, we hope, more interesting than any hardcopy text can be. No hardcopy text

will let you test Newton's laws by docking a space shuttle with a satellite in a 3 dimensional simulation, show you the retrograde motion of Mars in the night sky, or let you test each of Kepler's Laws of Planetary Motion as you follow Newton's deduction of them using his Calculus.

This book is designed to illuminate, and to give readers the chance to explore in some depth, the basic ideas of Calculus within the context of its first triumphal scientific success: Isaac Newton's deduction of Kepler's three laws of planetary motion from his single hypothesis of Universal Gravitation.

Our book differs from a Calculus textbook in several ways. While it assumes a basic understanding of Geometry and Algebra, it is designed around the theme of Gravitation, rather than any particular syllabus. It is an Interactive Story that invites you to learn how Calculus came to be.

Looking for something specific? Check out the Gallery of Workbooks and Microworlds in the Library Stacks.

There are 28 rooms that organize our 250 books by topic and grade, ranging from High School through Graduate level mathematics and science.

Choose a room, and the books in that room will be listed with numbers of first-time visits since January 2002. Then, click on a link to go to a title page and read more about the book. The Microworlds are available to members online in their browsers, and you can add them to your permanent collection on your computer if you wish.

The best way to get started reading Microworlds online in your browser is to download a Free MathwrightWeb (or MathwrightNET) Player, and to join the Library.

The best way to get started reading Microworlds offline is to download a Free Mathwright32 (or Mathwright32 NET) Player, and to join the Library.

If you prefer to see how things work before joining, then download a free Player (we recommend Mathwright32 Reader for offline viewing), and take a look at the Free Microworld Introduction to Mathwright32 Microworlds in the Visualization Studio of the MATH Cafe.

Library Puzzler #2 (rated 10)

If you can fill a rectangle with squares, can you then fill it with squares of equal size?

Some useful links to other sites:

An Internet Resource Catalog for Mathematics

 

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