Lectures On The Asymptotic Theory Of Ideals

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Lectures On The Asymptotic Theory Of Ideals

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Author : D. Rees
language : en
Publisher: Cambridge University Press
Release Date : 1988-11-25

Lectures On The Asymptotic Theory Of Ideals written by D. Rees and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-11-25 with Mathematics categories.

In this book Professor Rees introduces and proves some of the main results of the asymptotic theory of ideals. The author's aim is to prove his Valuation Theorem, Strong Valuation Theorem, and Degree Formula, and to develop their consequences. The last part of the book is devoted to mixed multiplicities. Here the author develops his theory of general elements of ideals and gives a proof of a generalised degree formula. The reader is assumed to be familiar with basic commutative algebra, as covered in the standard texts, but the presentation is suitable for advanced graduate students. The work is an expansion of lectures given at Nagoya University.

Lectures On The Asymptotic Theory Of Ideals

DOWNLOAD
Author : D. Rees
language : en
Publisher:
Release Date : 1988

Lectures On The Asymptotic Theory Of Ideals written by D. Rees and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Electronic books categories.

In this book Professor Rees introduces and proves some of the main results of the asymptotic theory of ideals. The author's aim is to prove his Valuation Theorem, Strong Valuation Theorem, and Degree Formula, and to develop their consequences. The last part of the book is devoted to mixed multiplicities. Here the author develops his theory of general elements of ideals and gives a proof of a generalised degree formula. The reader is assumed to be familiar with basic commutative algebra, as covered in the standard texts, but the presentation is suitable for advanced graduate students. The work

Lectures On Invariant Theory

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Author : Igor Dolgachev
language : en
Publisher: Cambridge University Press
Release Date : 2003-08-07

Lectures On Invariant Theory written by Igor Dolgachev and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-07 with Mathematics categories.

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.

Lectures On Ergodic Theory And Pesin Theory On Compact Manifolds

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Author : Mark Pollicott
language : en
Publisher: Cambridge University Press
Release Date : 1993-02-04

Lectures On Ergodic Theory And Pesin Theory On Compact Manifolds written by Mark Pollicott and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-04 with Mathematics categories.

These lecture notes provide a unique introduction to Pesin theory and its applications.

Lectures On Mechanics

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Author : Jerrold E. Marsden
language : en
Publisher: Cambridge University Press
Release Date : 1992-04-30

Lectures On Mechanics written by Jerrold E. Marsden and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-04-30 with Mathematics categories.

Based on the 1991 LMS Invited Lectures given by Professor Marsden, this book discusses and applies symmetry methods to such areas as bifurcations and chaos in mechanical systems.

Tame Topology And O Minimal Structures

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Author : Lou Van den Dries
language : en
Publisher: Cambridge University Press
Release Date : 1998-05-07

Tame Topology And O Minimal Structures written by Lou Van den Dries and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-07 with Mathematics categories.

These notes give a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. This book should be of interest to model theorists, analytic geometers and topologists.

Singularities Of Plane Curves

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Author : Eduardo Casas-Alvero
language : en
Publisher: Cambridge University Press
Release Date : 2000-08-31

Singularities Of Plane Curves written by Eduardo Casas-Alvero and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-31 with Mathematics categories.

Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.

An Introduction To Noncommutative Differential Geometry And Its Physical Applications

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Author : J. Madore
language : en
Publisher: Cambridge University Press
Release Date : 1999-06-24

An Introduction To Noncommutative Differential Geometry And Its Physical Applications written by J. Madore and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-24 with Mathematics categories.

A thoroughly revised introduction to non-commutative geometry.

Characters And Blocks Of Finite Groups

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Author : Gabriel Navarro
language : en
Publisher: Cambridge University Press
Release Date : 1998-05-07

Characters And Blocks Of Finite Groups written by Gabriel Navarro and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-07 with Mathematics categories.

This is a clear, accessible and up-to-date exposition of modular representation theory of finite groups from a character-theoretic viewpoint. After a short review of the necessary background material, the early chapters introduce Brauer characters and blocks and develop their basic properties. The next three chapters study and prove Brauer's first, second and third main theorems in turn. These results are then applied to prove a major application of finite groups, the Glauberman Z*-theorem. Later chapters examine Brauer characters in more detail. The relationship between blocks and normal subgroups is also explored and the modular characters and blocks in p-solvable groups are discussed. Finally, the character theory of groups with a Sylow p-subgroup of order p is studied. Each chapter concludes with a set of problems. The book is aimed at graduate students, with some previous knowledge of ordinary character theory, and researchers studying the representation theory of finite groups.

P Automorphisms Of Finite P Groups

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Author : Evgenii I. Khukhro
language : en
Publisher: Cambridge University Press
Release Date : 1998-02-13

P Automorphisms Of Finite P Groups written by Evgenii I. Khukhro and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02-13 with Mathematics categories.

Ideal for graduate students and researchers working in group theory and Lie rings.