Introduction to the Algebraic Theory of Invariants of Differential Equations PDF Download
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Author: Konstantin Sergeevich Sibirskiĭ
Publisher: Manchester University Press
ISBN: 9780719026690
Category : Mathematics
Languages : en
Pages : 210
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Book Description
Considers polynominal invariants & comitants of autonomous systems of differential equations with right-hand sides relative to various transformation groups of phase space. Contains an in-depth discussion of the two-dimensional system with quadratic right-hand sides. Features numerous applications to the qualitative theory of differential equations.
Author: Konstantin Sergeevich Sibirskiĭ
Publisher: Manchester University Press
ISBN: 9780719026690
Category : Mathematics
Languages : en
Pages : 210
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Book Description
Considers polynominal invariants & comitants of autonomous systems of differential equations with right-hand sides relative to various transformation groups of phase space. Contains an in-depth discussion of the two-dimensional system with quadratic right-hand sides. Features numerous applications to the qualitative theory of differential equations.
Author: David Hilbert
Publisher: Springer Science & Business Media
ISBN: 3662035456
Category : Mathematics
Languages : en
Pages : 360
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Book Description
A translation of Hilberts "Theorie der algebraischen Zahlkörper" best known as the "Zahlbericht", first published in 1897, in which he provides an elegantly integrated overview of the development of algebraic number theory up to the end of the nineteenth century. The Zahlbericht also provided a firm foundation for further research in the theory, and can be seen as the starting point for all twentieth century investigations into the subject, as well as reciprocity laws and class field theory. This English edition further contains an introduction by F. Lemmermeyer and N. Schappacher.
Author: Marius van der Put
Publisher: Springer Science & Business Media
ISBN: 3642557503
Category : Mathematics
Languages : en
Pages : 446
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Book Description
From the reviews: "This is a great book, which will hopefully become a classic in the subject of differential Galois theory. [...] the specialist, as well as the novice, have long been missing an introductory book covering also specific and advanced research topics. This gap is filled by the volume under review, and more than satisfactorily." Mathematical Reviews
Author: Igor Dolgachev
Publisher: Cambridge University Press
ISBN: 9780521525480
Category : Mathematics
Languages : en
Pages : 244
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Book Description
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.
Author: University of Chicago
Publisher:
ISBN:
Category :
Languages : en
Pages : 292
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Book Description
Author: John Hilton Grace
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 410
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Book Description
Author: Shigeru Mukai
Publisher: Cambridge University Press
ISBN: 9780521809061
Category : Mathematics
Languages : en
Pages : 528
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Book Description
Sample Text
Author: Gene Freudenburg
Publisher: Springer Science & Business Media
ISBN: 3540295232
Category : Mathematics
Languages : en
Pages : 266
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Book Description
This book explores the theory and application of locally nilpotent derivations. It provides a unified treatment of the subject, beginning with sixteen First Principles on which the entire theory is based. These are used to establish classical results, such as Rentschler’s Theorem for the plane, right up to the most recent results, such as Makar-Limanov’s Theorem for locally nilpotent derivations of polynomial rings. The book also includes a wealth of pexamples and open problems.
Author: Alexandru Buium
Publisher: American Mathematical Soc.
ISBN: 0821838628
Category : Mathematics
Languages : en
Pages : 346
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Book Description
For most of the book the only prerequisites are the basic facts of algebraic geometry and number theory."--BOOK JACKET.
Author:
Publisher: Cambridge University Press
ISBN:
Category :
Languages : en
Pages : 248
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Book Description
