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Focusing on classical invariant theory, this book explores both foundational concepts and contemporary advancements, particularly in the realm of binary forms in characteristic zero. It employs analytical and algebraic techniques to analyze invariants, symmetry, and canonical forms. Innovative approaches, including differential operators and graphical methods, enhance understanding for both newcomers and seasoned scholars. Aimed at advanced students, the text features exercises, historical context, and thorough proofs, making complex topics accessible and engaging.
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Classical Invariant Theory, Peter J. Olver
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- 2003
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