OMDoc -- An Open Markup Format for Mathematical Documents [version 1.2]

1. Front Matter

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2. Setting the Stage for Open Mathematical Documents

   1. Setting the Stage for Open Mathematical Documents

      • Michael Kohlhase

      Pages 1-2

   2. Document Markup for the Web

      • Michael Kohlhase

      Pages 3-11

   3. Markup for Mathematical Knowledge

      • Michael Kohlhase

      Pages 13-23

   4. OMDoc: Open Mathematical Documents

      • Michael Kohlhase

      Pages 25-32

3. An OMDoc Primer

   1. An OMDoc Primer

      • Michael Kohlhase

      Pages 33-34

   2. Mathematical Textbooks and Articles

      • Michael Kohlhase

      Pages 35-48

   3. OpenMath Content Dictionaries

      • Michael Kohlhase

      Pages 49-53

   4. Structured and Parametrized Theories

      • Michael Kohlhase

      Pages 55-58

   5. A Development Graph for Elementary Algebra

      • Michael Kohlhase

      Pages 59-63

   6. Courseware and the Narrative/Content Distinction

      • Michael Kohlhase

      Pages 65-74

   7. Communication with and Between Mathematical Software Systems

      • Michael Kohlhase

      Pages 75-79

4. The OMDoc Document Format

   1. The OMDoc Document Format

      • Michael Kohlhase

      Pages 81-81

   2. OMDoc as a Modular Format

      • Michael Kohlhase

      Pages 83-87

   3. Document Infrastructure (Module DOC)

      • Michael Kohlhase

      Pages 89-96

   4. Metadata (Modules DC and CC)

      • Michael Kohlhase

      Pages 97-105

   5. Mathematical Objects (Module MOBJ)

      • Michael Kohlhase

      Pages 107-120

   6. Mathematical Text (Modules MTXT and RT)

      • Michael Kohlhase

      Pages 121-131

   7. Mathematical Statements (Module ST)

      • Michael Kohlhase

      Pages 133-154

   8. Abstract Data Types (Module ADT)

      • Michael Kohlhase

      Pages 155-158

Computers arechanging the way wethink. Of course,nearly all desk-workers have access to computers and use them to email their colleagues, search the Web for information and prepare documents. But I’m not referring to that. I mean that people have begun to think about what they do in compu- tional terms and to exploit the power of computers to do things that would previously have been unimaginable. This observation is especially true of mathematicians. Arithmetic c- putation is one of the roots of mathematics. Since Euclid’s algorithm for ?nding greatest common divisors, many seminal mathematical contributions have consisted of new procedures. But powerful computer graphics have now enabled mathematicians to envisage the behaviour of these procedures and, thereby, gain new insights, make new conjectures and explore new avenues of research. Think of the explosive interest in fractals, for instance. This has been driven primarily by our new-found ability rapidly to visualise fractal shapes, such as the Mandelbrot set. Taking advantage of these new oppor- nities has required the learning of new skills, such as using computer algebra and graphics packages.

• Agent Communication
• Content Markup
• Interactive Books
• Markup Languages
• Markup Schemes
• MathML
• Mathematical Knowledge Management
• Mathematical Knowledge Representation
• OMDoc
• Open Mathematical Documents
• OpenMath
• XSLT
• knowledge
• mathematical software

From the reviews:

"The OMDoc open markup format for mathematical documents is presented in this book. … The book situates OMDoc relative to other markup systems for mathematics, provides the justification for the approach taken, and documents the system with principles and examples. … The scope of the work presented here will make it interesting to all those who have an interest in the markup and processing of mathematical documents." (D. T. Barnard, ACM Computing Reviews, Vol. 49 (3), March, 2008)

• Computer Science, Jacobs University Bremen,  

  Michael Kohlhase

Policies and ethics