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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 Elliptic Curves in Cryptography by : Ian F. Blake
Download or read book Elliptic Curves in Cryptography written by Ian F. Blake and published by Cambridge University Press. This book was released on 1999-07-08 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes knowledge built up within Hewlett-Packard over a number of years, and explains the mathematics behind practical implementations of elliptic curve systems. Due to the advanced nature of the mathematics there is a high barrier to entry for individuals and companies to this technology. Hence this book will be invaluable not only to mathematicians wanting to see how pure mathematics can be applied but also to engineers and computer scientists wishing (or needing) to actually implement such systems.
Book Synopsis Topics in Symbolic Dynamics and Applications by : F. Blanchard
Download or read book Topics in Symbolic Dynamics and Applications written by F. Blanchard and published by Cambridge University Press. This book was released on 2000-06-29 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to recent developments in symbolic dynamics, and it comprises eight chapters. The first two are concerned with the study of symbolic sequences of 'low complexity', the following two introduce 'high complexity' systems. The later chapters go on to deal with more specialised topics including ergodic theory, number theory, and one-dimensional dynamics.
Book Synopsis The Q-Schur Algebra by : Stephen Donkin
Download or read book The Q-Schur Algebra written by Stephen Donkin and published by Cambridge University Press. This book was released on 1998-12-10 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the representation theory of q-Schur algebras and connections with the representation theory of Hecke algebras and quantum general linear groups. The aim is to present, from a unified point of view, quantum analogs of certain results known already in the classical case. The approach is largely homological, based on Kempf's vanishing theorem for quantum groups and the quasi-hereditary structure of the q-Schur algebras. Beginning with an introductory chapter dealing with the relationship between the ordinary general linear groups and their quantum analogies, the text goes on to discuss the Schur Functor and the 0-Schur algebra. The next chapter considers Steinberg's tensor product and infinitesimal theory. Later sections of the book discuss tilting modules, the Ringel dual of the q-Schur algebra, Specht modules for Hecke algebras, and the global dimension of the q-Schur algebras. An appendix gives a self-contained account of the theory of quasi-hereditary algebras and their associated tilting modules. This volume will be primarily of interest to researchers in algebra and related topics in pure mathematics.
Book Synopsis Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees by : Alessandro Figá-Talamanca
Download or read book Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees written by Alessandro Figá-Talamanca and published by Cambridge University Press. This book was released on 1991-06-28 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. The unitary irreducible representations are classified in three types: a continuous series of spherical representations; two special representations; and a countable series of cuspidal representations as defined by G.I. Ol'shiankii. Several notable subgroups of the full automorphism group are also considered. The theory of spherical functions as eigenvalues of a Laplace (or Hecke) operator on the tree is used to introduce spherical representations and their restrictions to discrete subgroups. This will be an excellent companion for all researchers into harmonic analysis or representation theory.
Book Synopsis Surveys in Combinatorics 2003 by : C. D. Wensley
Download or read book Surveys in Combinatorics 2003 written by C. D. Wensley and published by Cambridge University Press. This book was released on 2003-07-24 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The British Combinatorial Conference is held every two years and is a key event for mathematicians worldwide working in combinatorics. In June 2003 the conference was held at the University of Wales, Bangor. The papers contained here are surveys contributed by the invited speakers and are of the high quality that befits the event. There is also a tribute to Bill Tutte who had a long-standing association with the BCC. The papers cover topics currently attracting significant research interest as well as some less traditional areas such as the combinatorics of protecting digital content. They will form an excellent resource for established researchers as well as graduate students who will find much here to inspire future work.
Book Synopsis A Quantum Groups Primer by : Shahn Majid
Download or read book A Quantum Groups Primer written by Shahn Majid and published by Cambridge University Press. This book was released on 2002-04-04 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained introduction to quantum groups as algebraic objects, suitable as a textbook for graduate courses.
Book Synopsis Symmetries and Integrability of Difference Equations by : Peter A. Clarkson
Download or read book Symmetries and Integrability of Difference Equations written by Peter A. Clarkson and published by Cambridge University Press. This book was released on 1999-02-04 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises state-of-the-art articles in discrete integrable systems.
Book Synopsis Analysis and Logic by : C. Ward Henson
Download or read book Analysis and Logic written by C. Ward Henson and published by Cambridge University Press. This book was released on 2002 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises articles from four outstanding researchers who work at the cusp of analysis and logic. The emphasis is on active research topics; many results are presented that have not been published before and open problems are formulated. Considerable effort has been made by the authors to integrate their articles and make them accessible to mathematicians new to the area.
Book Synopsis Spaces of Kleinian Groups by : Yair N. Minsky
Download or read book Spaces of Kleinian Groups written by Yair N. Minsky and published by Cambridge University Press. This book was released on 2006-06-19 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development. This volume contains important expositions on topics such as topology and geometry of 3-manifolds, curve complexes, classical Ahlfors-Bers theory and computer explorations. Researchers in these and related areas will find much of interest here.
Book Synopsis Computational and Geometric Aspects of Modern Algebra by : Michael D. Atkinson
Download or read book Computational and Geometric Aspects of Modern Algebra written by Michael D. Atkinson and published by Cambridge University Press. This book was released on 2000-06-15 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers from leading researchers in algebra and geometric group theory.
Book Synopsis Singular Perturbations of Differential Operators by : Sergio Albeverio
Download or read book Singular Perturbations of Differential Operators written by Sergio Albeverio and published by Cambridge University Press. This book was released on 2000-03-13 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a systematic mathematical study of differential (and more general self-adjoint) operators.
Book Synopsis Surveys in Combinatorics, 2001 by : J. W. P. Hirschfeld
Download or read book Surveys in Combinatorics, 2001 written by J. W. P. Hirschfeld and published by Cambridge University Press. This book was released on 2001-07-05 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the invited talks from the 18th British Combinatorial Conference, held in 2001.
Book Synopsis Rational Points on Curves Over Finite Fields by : Harald Niederreiter
Download or read book Rational Points on Curves Over Finite Fields written by Harald Niederreiter and published by Cambridge University Press. This book was released on 2001-06-14 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on algebraic curves over finite fields have been an important research topic for algebraic geometers and coding theorists. The focus in this application of algebraic geometry to coding theory is on algebraic curves over finite fields with many rational points (relative to the genus). Recently, the authors discovered another important application of such curves, namely to the construction of low-discrepancy sequences. These sequences are needed for numerical methods in areas as diverse as computational physics and mathematical finance. This has given additional impetus to the theory of, and the search for, algebraic curves over finite fields with many rational points. This book aims to sum up the theoretical work on algebraic curves over finite fields with many rational points and to discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences.
Book Synopsis Surveys in Combinatorics, 1999 by : John Douglas Lamb
Download or read book Surveys in Combinatorics, 1999 written by John Douglas Lamb and published by Cambridge University Press. This book was released on 1999 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Up-to-date resource on combinatorics for graduate students and researchers.
Book Synopsis Sets and Proofs by : S. Barry Cooper
Download or read book Sets and Proofs written by S. Barry Cooper and published by Cambridge University Press. This book was released on 1999-06-17 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: First of two volumes providing a comprehensive guide to mathematical logic.
Book Synopsis Characters and Blocks of Finite Groups by : Gabriel Navarro
Download or read book Characters and Blocks of Finite Groups written by Gabriel Navarro and published by Cambridge University Press. This book was released on 1998-05-07 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
