The Algebra of Invariants by John Grace, Alfred Young
The Algebra of Invariants - Table of Contents
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
What You Will Learn in The Algebra of Invariants
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 Details & Specifications
Title:
The Algebra of Invariants by John Grace, Alfred Young
Publisher:
Cambridge University Press
Year:
1903
Pages:
404
Type:
PDF
Language:
English
ISBN-10 #:
1108013090
ISBN-13 #:
License:
Public Domain Work
Amazon:
Amazon
About the Author: John Hilton Grace
The author
John Hilton Grace
(1873 – 1958) was a British mathematician. He was made a Fellow of Peterhouse in 1897 and became a Lecturer of Mathematics at Peterhouse and Pembroke colleges. An example of his work was his 1902 paper on The Zeros of a Polynomial. In 1903 he collaborated with Alfred Young on their book Algebra of Invariants. He was elected a Fellow of the Royal Society in 1908.
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