skip to content
Algebraic invariants Preview this item
ClosePreview this item
Checking...

Algebraic invariants

Author: Leonard E Dickson
Publisher: New York : J. Wiley & Sons, inc.; [etc., etc.], 1914.
Series: Mathematical monographs (New York, N.Y.), no. 14.
Edition/Format:   Book : English : 1st ed.View all editions and formats
Database:WorldCat
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Additional Physical Format: Online version:
Dickson, Leonard E. (Leonard Eugene), 1874-
Algebraic invariants.
New York, J. Wiley & Sons; [etc.] 1914
(OCoLC)609297574
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Leonard E Dickson
OCLC Number: 1014826
Description: x, 100 p. : diagrs. ; 24 cm.
Contents: pt I. Illustrations, geometrical interpretations and applications of invariants and covariants. Illustrations form plane analytics --
Projective transformations --
Homogeneous coördinates of a point in a line --
Examples of invariants --
Examples of covariants --
Forms and their classification --
Definition of invariants and covariants --
Invariants of covariants --
Canonical form of a binary cubic: solution of cubic equations --
Covariants of covariants --
Intermediate invariants and covariants --
Homogeneous coördinates of points in a plane --
Properties of the Hessian --
Inflexion points and invariants of a cubic curve --
pt. II. Theory of invariants in non-symbolic notation. Homogeneity of invariants --
Weight of an invariant of a binary form --
Weight of an invariant of an system of forms --
Products of linear transformations --
Generators of all binary linear transformations --
Annihilator of an invariant of a binary form --
Homogeneity of covariants --
Weight of a covariant of a binary form --
Annihilators of covariants --
Alternants --
Seminivariants as leaders of binary covariants --
Number of linearly independent seminvariants --
Hermite's law of reciprocity --
Fundamental system of covariants --
Canonical form of binary quartic; solution of quartic equations --
Seminvariants in terms of the roots --
Invariants in terms of the roots --
Covariants in terms of the roots --
Covariant with a given leader --
Differential operators producing covariants --
pt. III. Symbolic notation. The notation and its immediate consequences --
Covariants as functions of two symbolic types --
Reduction to problem on invariants --
Hilbert's theorem on a set of forms --
Finiteness of a fundamental system of invariants --
Finiteness of Syzygies --
Transvectants --
Binary forms apolar to given forms --
Rational plane cubic curves --
Rational space quartic curves --
Fundamental system of covariants of linear forms; of a quadratic form; exercises --
Theorems on transvectants; convolution --
Irreducible covariants found by induction --
Fundamental system for a binary cubic --
Results and references on higher binary forms --
Hermite's law of reciprocity symbolically --
Ternary form in symbolic notation --Concomitants of ternary forms --
Quaternary forms.
Series Title: Mathematical monographs (New York, N.Y.), no. 14.
Responsibility: by Leonard Eugene Dickson.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Related Subjects:(3)

User lists with this item (1)

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


<http://www.worldcat.org/oclc/1014826>
library:oclcnum"1014826"
library:placeOfPublication
library:placeOfPublication
owl:sameAs<info:oclcnum/1014826>
rdf:typeschema:Book
rdfs:seeAlso
schema:about
schema:about
schema:about
schema:about
schema:about
schema:author
schema:bookEdition"1st ed.,"
schema:datePublished"1914"
schema:description"pt I. Illustrations, geometrical interpretations and applications of invariants and covariants. Illustrations form plane analytics -- Projective transformations -- Homogeneous coördinates of a point in a line -- Examples of invariants -- Examples of covariants -- Forms and their classification -- Definition of invariants and covariants -- Invariants of covariants -- Canonical form of a binary cubic: solution of cubic equations -- Covariants of covariants -- Intermediate invariants and covariants -- Homogeneous coördinates of points in a plane -- Properties of the Hessian -- Inflexion points and invariants of a cubic curve -- pt. II. Theory of invariants in non-symbolic notation. Homogeneity of invariants -- Weight of an invariant of a binary form -- Weight of an invariant of an system of forms -- Products of linear transformations -- Generators of all binary linear transformations -- Annihilator of an invariant of a binary form -- Homogeneity of covariants -- Weight of a covariant of a binary form -- Annihilators of covariants -- Alternants -- Seminivariants as leaders of binary covariants -- Number of linearly independent seminvariants -- Hermite's law of reciprocity -- Fundamental system of covariants -- Canonical form of binary quartic; solution of quartic equations -- Seminvariants in terms of the roots -- Invariants in terms of the roots -- Covariants in terms of the roots -- Covariant with a given leader -- Differential operators producing covariants -- pt. III. Symbolic notation. The notation and its immediate consequences -- Covariants as functions of two symbolic types -- Reduction to problem on invariants -- Hilbert's theorem on a set of forms -- Finiteness of a fundamental system of invariants -- Finiteness of Syzygies -- Transvectants -- Binary forms apolar to given forms -- Rational plane cubic curves -- Rational space quartic curves -- Fundamental system of covariants of linear forms; of a quadratic form; exercises -- Theorems on transvectants; convolution -- Irreducible covariants found by induction -- Fundamental system for a binary cubic -- Results and references on higher binary forms -- Hermite's law of reciprocity symbolically -- Ternary form in symbolic notation --Concomitants of ternary forms -- Quaternary forms."
schema:exampleOfWork<http://worldcat.org/entity/work/id/104415309>
schema:inLanguage"en"
schema:name"Algebraic invariants"
schema:numberOfPages"100"
schema:publisher
rdf:typeschema:Organization
schema:name"J. Wiley & Sons, inc.; [etc., etc.]"

Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.