The Sensual (quadratic) Form available in Paperback
- Pub. Date:
- American Mathematical Society
John Horton Conway's unique approach to quadratic forms was the subject of the Hedrick Lectures given by him in August of 1991 at the Joint Meetings of the Mathematical Association of America and the American Mathematical Society in Orono, Maine. This book presents the substance of those lectures. The book should not be thought of as a serious textbook on the theory of quadratic forms, it consists rather of a number of essays on particular aspects of quadratic forms that have interested the author. The lectures are self-contained and will be accessible to the generally informed reader who has no particular background in quadratic form theory. The minor exceptions should not interrupt the flow of ideas. The Afterthoughts to the Lectures contain discussion of related matters that occasionally presuppose greater knowledge.
Table of ContentsPreface; 1. The first lecture: can you see the values of 2x2 + 6xy – 5y2?; 2. Afterthoughts: PSL2(Z) and Farey functions; 3. The second lecture: can you hear the shape of a lattice?; 4. Afterthoughts: Kneser's gluing method – unimodular lattices; 5. The third lecture: ... and can you feel its form?; 6. Afterthoughts: feeling the form of a four dimensional lattice; 7. The fourth lecture: the primary fragrances; 8. Afterthought: more about the invariants – p-adic numbers; 9. Postscript: a taste of number theory; Bibliography.