Interactive Real Analysis

Credits

This hypertext project was developed by Bert G. Wachsmuth and supported by a grant from Seton Hall University. Paul Golba, a Seton Hall student, assisted in its development by compiling the historical references.

You are not allowed to copy, modify, or alter any part of this entire hypertext project without written consent of the author. You can view and print any part of this text for your own use.

All HTML pages were initially written using Microsoft's Word for Windows together with the macro package CU_HTML developed by Kenneth Wong and Anton Lam at the Chinese University of Hong Kong, and later with Microsoft's Internet Assistant. After that, a simple text editor was used to create new and modify old HTML pages. Graphics and Equations were created with Microsoft's Equation Editor, Microsoft's Paint Brush, and JASC's Paint Shop Pro. Sounds were recorded using a Macintosh Powerbook.

The text was designed for use by upper level undergraduate math majors, and was modeled after a Real Analysis course (sometimes called Advanced Calculus or Abstract Analysis) given at Seton Hall University in the Fall 1993 and again in 1994. For bibliographical references, click on the Glossary button.

Any questions, comments, suggestions, or corrections are more than welcome ... click on the address below. Don't forget to sign our guest book !

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Requirements

This text is written using the HTML (HyperText Markup Language) language. To use it you need:

• an HTML-compatible viewing program that supports
  • HTML level 2
  • Tables
  • Superscripts and subscipts
• a program capable of displaying GIF - formated graphics files
• a program to play sound clips in AU format

• Frames
• Java Applets
• Java Script

You do not necessarily need an active connection to the Internet to view this text. You will soon be able to obtain the text directly from the author [no further info - check later].

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Setting up your HTML viewer

Regardless of which HTML viewer you use, you should set it up as follows:

• white background for all pages
• normal font in 12 point size
• files with .au extensions are associated with your AU player program (binary files)
• files with .gif extensions are associated with your GIF graphics program (binary files)
• files with .ms extensions are associated with Maple (text files)

You might also want to give the text the largest possible viewing area by turing off, if you can, any status lines or button bars that your browser provides. The text has built-in navigational tools that you can use without relying on your browsing program.

Actually, none of this is absolutely necessary, but the text will work best if you follow these instructions.

[Java and Frames instructions follow later]

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Navigation and Symbols

Every button or text that appears in a different color than the rest of the text provides a clickable link: use your mouse to click on the button or text, and you will jump to a new page of text, graphics, sound clips, or Java applet. You can also use the navigational tools that your browser offers to go back and forth between previously viewed pages. Most of the time, however, the buttons built into the text will be sufficient for navigation.

Every page has a 'button bar' at the bottom. If you can not see it, scroll down until they become visible. In addition, several types of buttons are built into the text, and the first word of examples, definitions, or theorems is a link to more information.

If you are lost in the text, you can always click on the Map button. You will see an overview of the text, with your current location shown in red. To locate specific definitions, results, or example, click on the Glossary button (it is sometimes difficult to get back to your current location when using the Glossary button - use your browser's Back feature).

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