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Classical invariant theory
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ISBN: 1316087344 1107367271 1107362369 0511623666 1107368774 129940913X 1107364817 9781107362369 9780511623660 0521552435 9780521552431 0521558212 9780521558211 Year: 1999 Publisher: Cambridge : Cambridge University Press,

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Abstract

There has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival of computational methods coupled with powerful new computer algebra packages; and a wealth of new applications, ranging from number theory to geometry, physics to computer vision. This book provides readers with a self-contained introduction to the classical theory as well as modern developments and applications. The text concentrates on the study of binary forms (polynomials) in characteristic zero, and uses analytical as well as algebraic tools to study and classify invariants, symmetry, equivalence and canonical forms. It also includes a variety of innovations that make this text of interest even to veterans of the subject. Aimed at advanced undergraduate and graduate students the book includes many exercises and historical details, complete proofs of the fundamental theorems, and a lively and provocative exposition.

Keywords

Invariants.


Book
The algebra of invariants
Authors: ---
ISBN: 051170853X Year: 2010 Publisher: Cambridge : Cambridge University Press,

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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.

Keywords

Invariants.


Book
The algebra of invariants
Authors: ---
Year: 1941 Publisher: New York: Stechert,

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Keywords

Invariants.


Book
The algebra of invariants
Authors: ---
Year: 1965 Publisher: Bronx (N.Y.): Chelsea,

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Invariants


Book
Vorlesungen über Invariantentheorie
Authors: ---
Year: 1968 Publisher: Berlin : Springer,

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Invariants.


Book
The algebra of invariants
Authors: ---
Year: 1903 Publisher: New York (N.Y.) : Chelsea,

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Invariants.


Dissertation
The invariant theory of the inversion group : geometry upon a quadric surface.
Author:
Year: 1900 Publisher: [S.l.,

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Invariants.


Book
Birational invariants of algebraic manifolds
Author:
Year: 1947 Publisher: [Madrid] : Universidad de Salamanca,

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Invariants.


Book
Sur le calcul de l'invariant de Zeuthen-Segre
Authors: --- ---
Year: 1914 Publisher: Tournai, : Leuq,

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Invariants.


Book
Sur la condition des 6 points
Author:
Year: 1906 Publisher: Bruxelles Hayez

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Invariants

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