Y. J. Doran is a researcher in the LCT Centre for Knowledge-Building and the Department of Linguistics at the University of Sydney, who focuses on Systemic Functional Linguistic theory and description, Legitimation Code Theory and their contribution to the interdisciplinary fields of educational linguistics, multimodality and identity.

The book uses an SFL framework, here extended to encompass the more recently developed Systemic Functional Multimodal Discourse Analysis approach, to explore the field's multimodal nature and offer detailed descriptions of three of its key semiotic resources - language, image, and mathematics.

1. Physics, Knowledge and Semiosis
2. Language, Knowledge and Description
3. Mathematical Statements and Expressions
4. Mathematical Symbols and the Architecture of the Grammar of Mathematics
5. Genres of Language and Mathematics
6. Images and the Knowledge of Physics
7. Physics and Semiotics

Appendix A System Network Conventions

Appendix B Full System Networks for Mathematics

Appendix C Details of Corpus