The Algebra of Invariants

Erscheinungsjahr 2010
ISBN: 978-1-108-01309-3
Verlag: Cambridge University Press

Buch, Englisch, 398 Seiten, Format (B × H): 140 mm x 216 mm, Gewicht: 560 g

Reihe: Cambridge Library Collection - Mathematics

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.

Autoren/Hrsg.

Grace, John Hilton

Young, Alfred

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik

Inhaltsverzeichnis

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.