The book is a self-contained introduction to the results and computational methods in classical invariant theory. It relies on minimal mathematical prerequisites, and can be read by advanced undergraduate or graduate students. A variety of innovations will also make the book of interest to specialists and researchers.
The book is a self-contained introduction to the results and computational methods in classical invariant theory. It relies on minimal mathematical prerequisites, and can be read by advanced undergraduate or graduate students. A variety of innovations will also make the book of interest to specialists and researchers.
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.
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.
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