The Algebra of Invariants

The Algebra of Invariants

by John Hilton Grace, Alfred Young
     
 

ISBN-10: 1108013090

ISBN-13: 9781108013093

Pub. Date: 10/31/2010

Publisher: Cambridge University Press

Invariant theory is a subject within abstract algebra that studies polynomial functions which do not change under transformations from a linear group. John Hilton Grace (1873–1958) was a research mathematician specialising in algebra and geometry. He was elected a Fellow of the Royal Society in 1908. His co-author Dr Alfred Young (1873–1940) was also a

Overview

Invariant theory is a subject within abstract algebra that studies polynomial functions which do not change under transformations from a linear group. John Hilton Grace (1873–1958) was a research mathematician specialising in algebra and geometry. He was elected a Fellow of the Royal Society in 1908. His co-author Dr Alfred Young (1873–1940) was also a research mathematician before being ordained in 1908; in 1934 he too was elected a Fellow of the Royal Society. Abstract algebra was one of the new fields of study within mathematics which developed out of geometry during the nineteenth century. It became a major area of research in the late nineteenth and early twentieth centuries. First published in 1903, this book introduced the work on invariant theory of the German mathematicians Alfred Clebsch and Paul Gordan into British mathematics. It was considered the standard work on the subject.

Product Details

ISBN-13:
9781108013093
Publisher:
Cambridge University Press
Publication date:
10/31/2010
Series:
Cambridge Library Collection - Mathematics Series
Pages:
398
Product dimensions:
5.50(w) x 8.50(h) x 1.10(d)

Table of Contents

Preface; 1. Introduction; 2. The fundamental theorem; 3. Transvectants; 4. Transvectants (continued); 5. Elementary complete systems; 6. Gordan's theorem; 7. The quintic; 8. Simultaneous systems; 9. Hilbert's theorem; 10. Geometry; 11. Apolarity and rational curves; 12. Ternary forms; 13. Ternary forms (continued); 14. Apolarity (continued); 15. Types of covariants; 16. General theorems on quantics; Appendices; Index.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >