Synopsis
Explore the algebra of quantics, focusing on covariants, invariants, and the structure of linear transformations.
This book presents a rigorous look at how rational functions of coefficients behave under transformation. It connects foundational concepts to methods for building finite, irreducible systems and understanding when forms are invariant, covariant, or semi‑invariant. The discussion blends classical ideas with Hilbert’s theorems and practical techniques for binary and higher quantics.
- Learn how absolute and non‑absolute orthogonal concomitants are formed and distinguished
- See how invariants, covariants, and syzygies interact through finite base systems
- Understand the role of the modulus, annihilators, and transvectants in invariant theory
- Gain perspective on the finiteness results and reconstruction methods for covariants
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An Introduction to the Algebra of Quantics (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book is an introduction to the study of invariant theory, a subject at the intersection of algebra and geometry. It illuminates the foundational principles of invariant theory using clear, comprehensive explanations and practical examples. The author's approach is inductive, leading readers from simple concepts to more complex ones, gradually building their understanding of invariants and covariantsâ"functions with crucial properties that remain unchanged under specific transformations. Initially developed in the mid-19th century, insights from invariant theory have profoundly influenced mathematics and continue to play a significant role in areas such as algebraic geometry, representation theory, and theoretical physics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330149034_0
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An Introduction to the Algebra of Quantics Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330149034
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