Synopses & Reviews
The book is a self-contained introduction to the results and methods in classical invariant theory.
Review
"This is a book that you can start reading knowing nothing whatsoever about the subject and that will get you to the point where you can start your own research. In fact, when you read it, you may want to start working immediately." -Mathematical Reviews"As a modern in-depth study of binary forms, this book is one of a kind." -Bulletin of the American Mathematical Society
Table of Contents
Introduction; Notes to the reader; A brief history; Acknowledgements; 1. Prelude - quadratic polynomials and quadratic forms; 2. Basic invariant theory for binary forms; 3. Groups and transformations; 4. Representations and invariants; 5. Transvectants; 6. Symbolic methods; 7. Graphical methods; 8. Lie groups and moving frames; 9. Infinitesimal methods; 10. Multi-variate polynomials; References; Author index; Subject index.