Lecture Notes In Mathematics

Author : Nanhua Xi
Publisher : Springer
Page : 152 pages
File Size : 40,7 Mb
Release : 1994-09-26
Category : Mathematics
ISBN : 3540583890

Get Book

Representations of Affine Hecke Algebras by Nanhua Xi Pdf

Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. Combining these results simple Hq-modules can be classified provided that the order of q is not too small. These Lecture Notes of N. Xi show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. In addition the based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras. Basic knowledge of abstract algebra is enough to read one third of the book. Some knowledge of K-theory, algebraic group, and Kazhdan-Lusztig cell of Cexeter group is useful for the rest

Author : Friedrich Hirzebruch,Joachim Schwermer,Silke Suter
Publisher : Lecture Notes in Mathematics
Page : 498 pages
File Size : 42,5 Mb
Release : 1985
Category : Mathematics
ISBN : UOM:39015040428321

Get Book

Arbeitstagung Bonn ... by Friedrich Hirzebruch,Joachim Schwermer,Silke Suter Pdf

Author : V. Chudnovsky
Publisher : CRC Press
Page : 428 pages
File Size : 44,8 Mb
Release : 2020-12-18
Category : Computers
ISBN : 9781000153705

Get Book

Computers in Mathematics by V. Chudnovsky Pdf

Talks from the International Conference on Computers and Mathematics held July 29-Aug. 1, 1986, Stanford U. Some are focused on the past and future roles of computers as a research tool in such areas as number theory, analysis, special functions, combinatorics, algebraic geometry, topology, physics,

Author : Aldo Ursini
Publisher : Routledge
Page : 728 pages
File Size : 40,6 Mb
Release : 2017-10-05
Category : Mathematics
ISBN : 9781351434720

Get Book

Logic and Algebra by Aldo Ursini Pdf

""Attempts to unite the fields of mathematical logic and general algebra. Presents a collection of refereed papers inspired by the International Conference on Logic and Algebra held in Siena, Italy, in honor of the late Italian mathematician Roberto Magari, a leading force in the blossoming of research in mathematical logic in Italy since the 1960s.

Author : Cem Y. Yildrim,Serguei A. Stepanov
Publisher : CRC Press
Page : 368 pages
File Size : 46,9 Mb
Release : 2020-03-06
Category : Mathematics
ISBN : 9781000673135

Get Book

Number Theory and Its Applications by Cem Y. Yildrim,Serguei A. Stepanov Pdf

This valuable reference addresses the methods leading to contemporary developments in number theory and coding theory, originally presented as lectures at a summer school held at Bilkent University, Ankara, Turkey.

Author : T. Parthasarathy,Sujatha Babu
Publisher : Springer Nature
Page : 127 pages
File Size : 48,8 Mb
Release : 2020-12-08
Category : Mathematics
ISBN : 9789811565779

Get Book

Stochastic Games and Related Concepts by T. Parthasarathy,Sujatha Babu Pdf

This book discusses stochastic game theory and related concepts. Topics focused upon in the book include matrix games, finite, infinite, and undiscounted stochastic games, n-player cooperative games, minimax theorem, and more. In addition to important definitions and theorems, the book provides readers with a range of problem-solving techniques and exercises. This book is of value to graduate students and readers of probability and statistics alike.

Author : Horst Herrlich
Publisher : Springer
Page : 207 pages
File Size : 52,8 Mb
Release : 2006-07-21
Category : Mathematics
ISBN : 9783540342687

Get Book

Axiom of Choice by Horst Herrlich Pdf

AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom. It is shunned by some, used indiscriminately by others. This treatise shows paradigmatically that disasters happen without AC and they happen with AC. Illuminating examples are drawn from diverse areas of mathematics, particularly from general topology, but also from algebra, order theory, elementary analysis, measure theory, game theory, and graph theory.

Author : James F. Davis,Paul Kirk
Publisher : American Mathematical Society
Page : 385 pages
File Size : 48,9 Mb
Release : 2023-05-22
Category : Mathematics
ISBN : 9781470473686

Get Book

Lecture Notes in Algebraic Topology by James F. Davis,Paul Kirk Pdf

The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. Moreover, by their second year of graduate studies, students must make the transition from understanding simple proofs line-by-line to understanding the overall structure of proofs of difficult theorems. To help students make this transition, the material in this book is presented in an increasingly sophisticated manner. It is intended to bridge the gap between algebraic and geometric topology, both by providing the algebraic tools that a geometric topologist needs and by concentrating on those areas of algebraic topology that are geometrically motivated. Prerequisites for using this book include basic set-theoretic topology, the definition of CW-complexes, some knowledge of the fundamental group/covering space theory, and the construction of singular homology. Most of this material is briefly reviewed at the beginning of the book. The topics discussed by the authors include typical material for first- and second-year graduate courses. The core of the exposition consists of chapters on homotopy groups and on spectral sequences. There is also material that would interest students of geometric topology (homology with local coefficients and obstruction theory) and algebraic topology (spectra and generalized homology), as well as preparation for more advanced topics such as algebraic $K$-theory and the s-cobordism theorem. A unique feature of the book is the inclusion, at the end of each chapter, of several projects that require students to present proofs of substantial theorems and to write notes accompanying their explanations. Working on these projects allows students to grapple with the “big picture”, teaches them how to give mathematical lectures, and prepares them for participating in research seminars. The book is designed as a textbook for graduate students studying algebraic and geometric topology and homotopy theory. It will also be useful for students from other fields such as differential geometry, algebraic geometry, and homological algebra. The exposition in the text is clear; special cases are presented over complex general statements.

Author : Siegfried Bosch
Publisher : Springer
Page : 254 pages
File Size : 48,9 Mb
Release : 2014-08-22
Category : Mathematics
ISBN : 9783319044170

Get Book

Lectures on Formal and Rigid Geometry by Siegfried Bosch Pdf

The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal means of learning advanced rigid geometry, regardless of the reader's level of background. Despite its parsimonious style, the presentation illustrates a number of key facts even more extensively than any other previous work. This Lecture Notes Volume is a revised and slightly expanded version of a preprint that appeared in 2005 at the University of Münster's Collaborative Research Center "Geometrical Structures in Mathematics".

Author : Andrea Iacona
Publisher : Springer Nature
Page : 228 pages
File Size : 44,6 Mb
Release : 2021-05-10
Category : Philosophy
ISBN : 9783030648114

Get Book

LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science by Andrea Iacona Pdf

This textbook is a logic manual which includes an elementary course and an advanced course. It covers more than most introductory logic textbooks, while maintaining a comfortable pace that students can follow. The technical exposition is clear, precise and follows a paced increase in complexity, allowing the reader to get comfortable with previous definitions and procedures before facing more difficult material. The book also presents an interesting overall balance between formal and philosophical discussion, making it suitable for both philosophy and more formal/science oriented students. This textbook is of great use to undergraduate philosophy students, graduate philosophy students, logic teachers, undergraduates and graduates in mathematics, computer science or related fields in which logic is required.

Author : Ana Cannas da Silva
Publisher : Springer
Page : 220 pages
File Size : 49,9 Mb
Release : 2004-10-27
Category : Mathematics
ISBN : 9783540453307

Get Book

Lectures on Symplectic Geometry by Ana Cannas da Silva Pdf

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.

Author : Matthew C. M. Wright
Publisher : World Scientific
Page : 308 pages
File Size : 47,8 Mb
Release : 2005
Category : Science
ISBN : 9781860944963

Get Book

Lecture Notes on the Mathematics of Acoustics by Matthew C. M. Wright Pdf

Based on lectures given at a one week summer school held at the University of Southampton, July 2003.

Author : Juan Arias de Reyna
Publisher : Springer
Page : 179 pages
File Size : 55,5 Mb
Release : 2004-10-14
Category : Mathematics
ISBN : 9783540458227

Get Book

Pointwise Convergence of Fourier Series by Juan Arias de Reyna Pdf

This book contains a detailed exposition of Carleson-Hunt theorem following the proof of Carleson: to this day this is the only one giving better bounds. It points out the motivation of every step in the proof. Thus the Carleson-Hunt theorem becomes accessible to any analyst.The book also contains the first detailed exposition of the fine results of Hunt, Sjölin, Soria, etc on the convergence of Fourier Series. Its final chapters present original material. With both Fefferman's proof and the recent one of Lacey and Thiele in print, it becomes more important than ever to understand and compare these two related proofs with that of Carleson and Hunt. These alternative proofs do not yield all the results of the Carleson-Hunt proof. The intention of this monograph is to make Carleson's proof accessible to a wider audience, and to explain its consequences for the pointwise convergence of Fourier series for functions in spaces near $äcal Lü^1$, filling a well-known gap in the literature.

Author : P. Slodowy
Publisher : Springer
Page : 187 pages
File Size : 42,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540381914

Get Book

Simple Singularities and Simple Algebraic Groups by P. Slodowy Pdf

Author : Jiagu Xu
Publisher : World Scientific
Page : 183 pages
File Size : 44,8 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814293563

Get Book

Lecture Notes on Mathematical Olympiad Courses by Jiagu Xu Pdf

Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications. Besides, appropriate number of test questions is available for reader''s practice and testing purpose. Their detailed solutions are also conveniently provided. The examples are not very complicated so that readers can easily understand. There are many real competition questions included which students can use to verify their abilities. These test questions are from many countries, e.g. China, Russia, USA, Singapore, etc. In particular, the reader can find many questions from China, if he is interested in understanding mathematical Olympiad in China. This book serves as a useful textbook of mathematical Olympiad courses, or as a reference book for related teachers and researchers. Errata(s). Errata. Sample Chapter(s). Lecture 1: Operations on Rational Numbers (145k). Request Inspection Copy. Contents: .: Operations on Rational Numbers; Linear Equations of Single Variable; Multiplication Formulae; Absolute Value and Its Applications; Congruence of Triangles; Similarity of Triangles; Divisions of Polynomials; Solutions to Testing Questions; and other chapters. Readership: Mathematics students, school teachers, college lecturers, university professors; mathematics enthusiasts