Quadratic Forms and Their Classification by Means of Invariant Factors, Vol. 3 (Classic Reprint) - Softcover
Synopsis
Explore how quadratic forms are classified with invariant-factors and Kronecker's invariants.
This rigorous, graduate‑level text explains reduction methods, theorems, and practical applications that connect algebra to geometry, with clear pathways from theory to conics and quadrics.
The book develops a step‑by‑step approach to reducing families of quadratic forms, discusses regular minors and Weierstrass’s and Sylvester’s contributions, and shows how invariant‑factors remain stable under transformations. It blends detailed proofs with worked examples to illustrate reduction in three and four variables, the role of determinant factors, and the geometric meaning behind the algebra.What you’ll experience
- Foundations of invariant‑factors and their invariance under linear substitutions
- Techniques for reducing a family of quadratic forms to standard types
- Connections between algebraic factors and geometric objects like conics and quadrics
- Guided examples in multiple variables and discussions of singular cases
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Quadratic Forms and Their Classification by Means of Invariant-Factors
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book introduces quadratic expressions and their classification using a method developed by Kronecker. It investigates the relation between a family of quadratic forms and the forms of its components and reveals that their invariant factors are identical. Demonstrating the use of invariant factors in identifying characteristics for families containing more than four variables, the author provides a new approach to an old problem. 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 # 9781333001537_0
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Quadratic Forms and Their Classification by Means of Invariant Factors, Vol. 3 (Classic Reprint)
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333001537
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Quadratic Forms and Their Classification by Means of Invariant Factors, Vol. 3 (Classic Reprint)
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333001537
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