The Algebra of Invariants by John Hilton Grace, Alfred Young
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About this book :-
Daniel Rogalski's An Introduction to Noncommutative Projective Geometry is a foundational text that provides a comprehensive introduction to the field of noncommutative projective geometry. It introduces key topics such as Artin–Schelter regular algebras, which serve as noncommutative analogues of polynomial rings, and the construction of noncommutative projective schemes associated with graded algebras. These concepts are fundamental in understanding the geometry of noncommutative spaces.
This book serves as an excellent resource for those interested in the intersection of algebra and geometry, offering clear explanations and a structured approach to this complex subject. The Algebra of Invariants is a foundational text in abstract algebra, particularly in the study of invariant theory, which examines polynomial functions that remain unchanged under linear transformations.
This work introduced the contributions of German mathematicians Alfred Clebsch and Paul Gordan to the British mathematical community, significantly influencing the development of the field. The book covers various topics, including the fundamental theorem of invariant theory, transvectants, Gordan’s theorem, Hilbert’s theorem, and the geometry of invariants.
Book Detail :-
This book has following details information.
Title:
The Algebra of Invariants by John Hilton Grace, Alfred Young by NA
Publisher:
Cambridge University Press
Series:
eBookDirectory
Year:
1903
Pages:
404
Type:
PDF
Language:
English
ISBN-10 #:
1108013090
ISBN-13 #:
Country:
Pakistan
License:
N\A
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About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. Introduction
2. The Fundamental Theorem
3. Transvectants
4. Transvectants
5. Elementary Complete Systems
6. Gordan's Theorem
7. The Qcintic
8. Simultaneous Systems
9. Hilbert's Theorem
10. Geometry
11. Apolarity and Rational Curves
12. Ternary Forms
13. Ternary Forms
14. Apolarity
15. Types of Covariants
16. General Theorems on Quantics
Appendix I. The Symbolical Notation
Appendix II. Wronski's Theorem
Appendix III. Jordan's Lemma
Appendix IV. Types of Covariants
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