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Lectures On The Asymptotic Theory Of Ideals
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Book Synopsis Lectures on the Asymptotic Theory of Ideals by : D. Rees
Download or read book Lectures on the Asymptotic Theory of Ideals written by D. Rees and published by Cambridge University Press. This book was released on 1988-11-25 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds by : Mark Pollicott
Download or read book Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds written by Mark Pollicott and published by Cambridge University Press. This book was released on 1993-02-04 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes provide a unique introduction to Pesin theory and its applications.
Book Synopsis Lectures on Invariant Theory by : Igor Dolgachev
Download or read book Lectures on Invariant Theory written by Igor Dolgachev and published by Cambridge University Press. This book was released on 2003-08-07 with total page 244 pages. 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.
Book Synopsis Lectures on Mechanics by : Jerrold E. Marsden
Download or read book Lectures on Mechanics written by Jerrold E. Marsden and published by Cambridge University Press. This book was released on 1992-04-30 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Non-Noetherian Commutative Ring Theory by : S.T. Chapman
Download or read book Non-Noetherian Commutative Ring Theory written by S.T. Chapman and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative Ring Theory emerged as a distinct field of research in math ematics only at the beginning of the twentieth century. It is rooted in nine teenth century major works in Number Theory and Algebraic Geometry for which it provided a useful tool for proving results. From this humble origin, it flourished into a field of study in its own right of an astonishing richness and interest. Nowadays, one has to specialize in an area of this vast field in order to be able to master its wealth of results and come up with worthwhile contributions. One of the major areas of the field of Commutative Ring Theory is the study of non-Noetherian rings. The last ten years have seen a lively flurry of activity in this area, including: a large number of conferences and special sections at national and international meetings dedicated to presenting its results, an abundance of articles in scientific journals, and a substantial number of books capturing some of its topics. This rapid growth, and the occasion of the new Millennium, prompted us to embark on a project aimed at presenting an overview of the recent research in the area. With this in mind, we invited many of the most prominent researchers in Non-Noetherian Commutative Ring Theory to write expository articles representing the most recent topics of research in this area.
Book Synopsis Polytopes, Rings, and K-Theory by : Winfried Bruns
Download or read book Polytopes, Rings, and K-Theory written by Winfried Bruns and published by Springer Science & Business Media. This book was released on 2009-06-12 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines interactions of polyhedral discrete geometry and algebra. What makes this book unique is the presentation of several central results in all three areas of the exposition - from discrete geometry, to commutative algebra, and K-theory.
Book Synopsis Commutative Ring Theory by : Paul-Jean Cahen
Download or read book Commutative Ring Theory written by Paul-Jean Cahen and published by CRC Press. This book was released on 2023-06-14 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: " Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory covers the spectra of rings chain conditions, dimension theory, and Jaffard rings fiber products group rings, semigroup rings, and graded rings class groups linear groups integer-valued polynomials rings of finite fractions big Cohen-Macaulay modules and much more!"
Book Synopsis Lectures on Block Theory by : Burkhard Külshammer
Download or read book Lectures on Block Theory written by Burkhard Külshammer and published by Cambridge University Press. This book was released on 1991-04-04 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Block theory is a part of the theory of modular representation of finite groups and deals with the algebraic structure of blocks. In this volume Burkhard Külshammer starts with the classical structure theory of finite dimensional algebras, and leads up to Puigs main result on the structure of the so called nilpotent blocks, which he discusses in the final chapter. All the proofs in the text are given clearly and in full detail, and suggestions for further reading are also included. For researchers and graduate students interested in group theory or representation theory, this book will form an excellent self contained introduction to the theory of blocks.
Book Synopsis Topics in Dynamics and Ergodic Theory by : Sergey Bezuglyi
Download or read book Topics in Dynamics and Ergodic Theory written by Sergey Bezuglyi and published by Cambridge University Press. This book was released on 2003-12-08 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics and it comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological dynamics and Ramsey theory; topological aspects of kneading theory together with an analogous 2-dimensional theory called pruning; the dynamics of Markov odometers, Bratteli-Vershik diagrams and orbit equivalence of non-singular automorphisms; geometric proofs of Mather's connecting and accelerating theorems; recent results in one dimensional smooth dynamics; periodic points of nonexpansive maps; arithmetic dynamics; the defect of factor maps; entropy theory for actions of countable amenable groups.
Book Synopsis Descriptive Set Theory and Dynamical Systems by : M. Foreman
Download or read book Descriptive Set Theory and Dynamical Systems written by M. Foreman and published by Cambridge University Press. This book was released on 2000-05-25 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, first published in 2000, contains a collection of survey papers providing an introduction for graduate students and researchers in these fields.
Book Synopsis Representation Theory and Algebraic Geometry by : A. Martsinkovsky
Download or read book Representation Theory and Algebraic Geometry written by A. Martsinkovsky and published by Cambridge University Press. This book was released on 1997-05-15 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: For any researcher working in representation theory, algebraic or arithmetic geometry.
Book Synopsis Character Theory for the Odd Order Theorem by : Thomas Peterfalvi
Download or read book Character Theory for the Odd Order Theorem written by Thomas Peterfalvi and published by Cambridge University Press. This book was released on 2000-02-28 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The famous and important theorem of W. Feit and J. G. Thompson states that every group of odd order is solvable, and the proof of this has roughly two parts. The first part appeared in Bender and Glauberman's Local Analysis for the Odd Order Theorem which was number 188 in this series. This book provides the character-theoretic second part and thus completes the proof. All researchers in group theory should have a copy of this book in their library.
Download or read book Singularity Theory written by Bill Bruce and published by Cambridge University Press. This book was released on 1999-06-03 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date survey of research in singularity theory.
Book Synopsis Geometry and Cohomology in Group Theory by : Peter H. Kropholler
Download or read book Geometry and Cohomology in Group Theory written by Peter H. Kropholler and published by Cambridge University Press. This book was released on 1998-05-14 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reflects the fruitful connections between group theory and topology. It contains articles on cohomology, representation theory, geometric and combinatorial group theory. Some of the world's best known figures in this very active area of mathematics have made contributions, including substantial articles from Ol'shanskii, Mikhajlovskii, Carlson, Benson, Linnell, Wilson and Grigorchuk, which will be valuable reference works for some years to come. Pure mathematicians working in the fields of algebra, topology, and their interactions, will find this book of great interest.
Book Synopsis Aspects of Galois Theory by : Helmut Völklein
Download or read book Aspects of Galois Theory written by Helmut Völklein and published by Cambridge University Press. This book was released on 1999-07-29 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of articles by leading experts in Galois theory, focusing on the Inverse Galois Problem.
Book Synopsis Spectral Theory and Geometry by : E. Brian Davies
Download or read book Spectral Theory and Geometry written by E. Brian Davies and published by Cambridge University Press. This book was released on 1999-09-30 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together lectures from an instructional meeting on spectral theory and geometry held under the auspices of the International Centre for Mathematical Sciences in Edinburgh. The contributions here come from world experts and many are much expanded versions of the lectures they gave. Together they survey the core material and go beyond to reach deeper results. For graduate students and experts alike, this book will be a highly useful resource.
Book Synopsis Real and Complex Singularities by : Laurentiu Paunescu
Download or read book Real and Complex Singularities written by Laurentiu Paunescu and published by World Scientific. This book was released on 2007 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modern theory of singularities provides a unifying theme that runs through fields of mathematics as diverse as homological algebra and Hamiltonian systems. It is also an important point of reference in the development of a large part of contemporary algebra, geometry and analysis. Presented by internationally recognized experts, the collection of articles in this volume yields a significant cross-section of these developments. The wide range of surveys includes an authoritative treatment of the deformation theory of isolated complex singularities by prize-winning researcher K Miyajima. Graduate students and even ambitious undergraduates in mathematics will find many research ideas in this volume and non-experts in mathematics can have an overview of some classic and fundamental results in singularity theory. The explanations are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.
