Ten Ways of Looking at Real Numbers

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It must lead to more in-depth text

It must be in a form that is easy to update and extend.

It must help readers searching for a topic.

Slide 42

Hypertext Structures

Most text in this system is in one of two forms: “book text” and “core text”.

Slide 43

Book Text

Book text gives an orderly development of mathematical ideas.

Shorter and more narrowly focused than most math books.

Theorems, proof, definitions, examples

Other books attached in a tree-like structure.

Slide 44

Core Text

Short, highly-linked texts, organized around a concept or method

Discursive, condensed discussions of a mathematical topic

Previews, surveys, summaries, leading to other text.

Helps the user navigate to other topics.

The same topic may reappear in several core texts.

Slide 45

Core Text

Real

Numbers

main essay

Slide 46

Core Text

Real

Numbers

Complex

Numbers

Vector

Spaces

Sets of Real

Numbers

Functions of a Real

Variable

Slide 47

Core Text and Book Text

Slide 48

Mathematics Hypertext Project

First step of a very long term project.

Need for contributors and collaboration.

Goal is the building of large-scale structures of mathematical text.