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Computational Invariant Theory

2013-04-17 Mathematics
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Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 589/5 ( reviews)

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Book Synopsis Computational Invariant Theory by : Harm Derksen

Download or read book Computational Invariant Theory written by Harm Derksen. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first volume of a subseries on "Invariant Theory and Algebraic Transformation Groups", provides a comprehensive and up-to-date overview of the algorithmic aspects of invariant theory. Numerous illustrative examples and a careful selection of proofs make the book accessible to non-specialists.

Computational Invariant Theory

2002-06-12 Mathematics
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Release : 2002-06-12
Genre : Mathematics
Kind : eBook
Book Rating : 764/5 ( reviews)

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Book Synopsis Computational Invariant Theory by : Harm Derksen

Download or read book Computational Invariant Theory written by Harm Derksen. This book was released on 2002-06-12. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first volume of a subseries on "Invariant Theory and Algebraic Transformation Groups", provides a comprehensive and up-to-date overview of the algorithmic aspects of invariant theory. Numerous illustrative examples and a careful selection of proofs make the book accessible to non-specialists.

Computational Invariant Theory

2014-03-12 Mathematics
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Release : 2014-03-12
Genre : Mathematics
Kind : eBook
Book Rating : 594/5 ( reviews)

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Book Synopsis Computational Invariant Theory by : Harm Derksen

Download or read book Computational Invariant Theory written by Harm Derksen. This book was released on 2014-03-12. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first volume of a subseries on "Invariant Theory and Algebraic Transformation Groups", provides a comprehensive and up-to-date overview of the algorithmic aspects of invariant theory. Numerous illustrative examples and a careful selection of proofs make the book accessible to non-specialists.

Lectures on Invariant Theory

2003-08-07 Mathematics
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Release : 2003-08-07
Genre : Mathematics
Kind : eBook
Book Rating : 480/5 ( reviews)

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Book Synopsis Lectures on Invariant Theory by : Igor Dolgachev

Download or read book Lectures on Invariant Theory written by Igor Dolgachev. This book was released on 2003-08-07. Available in PDF, EPUB and Kindle. Book excerpt: The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.

A Practical Guide to the Invariant Calculus

2010-04-29 Mathematics
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Release : 2010-04-29
Genre : Mathematics
Kind : eBook
Book Rating : 043/5 ( reviews)

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Book Synopsis A Practical Guide to the Invariant Calculus by : Elizabeth Louise Mansfield

Download or read book A Practical Guide to the Invariant Calculus written by Elizabeth Louise Mansfield. This book was released on 2010-04-29. Available in PDF, EPUB and Kindle. Book excerpt: This book explains recent results in the theory of moving frames that concern the symbolic manipulation of invariants of Lie group actions. In particular, theorems concerning the calculation of generators of algebras of differential invariants, and the relations they satisfy, are discussed in detail. The author demonstrates how new ideas lead to significant progress in two main applications: the solution of invariant ordinary differential equations and the structure of Euler-Lagrange equations and conservation laws of variational problems. The expository language used here is primarily that of undergraduate calculus rather than differential geometry, making the topic more accessible to a student audience. More sophisticated ideas from differential topology and Lie theory are explained from scratch using illustrative examples and exercises. This book is ideal for graduate students and researchers working in differential equations, symbolic computation, applications of Lie groups and, to a lesser extent, differential geometry.

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