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Author : Sameer Chavan,Gadadhar Misra
Publisher : Cambridge University Press
Page : 259 pages
File Size : 51,6 Mb
Release : 2021-10-07
Category : Mathematics
ISBN : 9781316519301
The book discusses the complete proof of the Brown-Douglas-Fillmore theorem along with a number of its applications.
Author : Nigel Higson,John Roe
Publisher : OUP Oxford
Page : 426 pages
File Size : 43,8 Mb
Release : 2000-12-07
Category : Mathematics
ISBN : 9780191589201
Analytic K-homology draws together ideas from algebraic topology, functional analysis and geometry. It is a tool - a means of conveying information among these three subjects - and it has been used with specacular success to discover remarkable theorems across a wide span of mathematics. The purpose of this book is to acquaint the reader with the essential ideas of analytic K-homology and develop some of its applications. It includes a detailed introduction to the necessary functional analysis, followed by an exploration of the connections between K-homology and operator theory, coarse geometry, index theory, and assembly maps, including a detailed treatment of the Atiyah-Singer Index Theorem. Beginning with the rudiments of C* - algebra theory, the book will lead the reader to some central notions of contemporary research in geometric functional analysis. Much of the material included here has never previously appeared in book form.
Author : Victor P. Havin,Nikolai K. Nikolski
Publisher : Springer
Page : 517 pages
File Size : 46,8 Mb
Release : 2006-12-08
Category : Mathematics
ISBN : 9783540483670
The 2-volume book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research. This new edition, created in a joint effort by a large team of analysts, is, like its predecessor, a collection of unsolved problems of modern analysis designed as informally written mini-articles, each containing not only a statement of a problem but also historical and methodological comments, motivation, conjectures and discussion of possible connections, of plausible approaches as well as a list of references. There are now 342 of these mini- articles, almost twice as many as in the previous edition, despite the fact that a good deal of them have been solved!
Author : V. Kumaran
Publisher : Cambridge University Press
Page : 515 pages
File Size : 41,6 Mb
Release : 2022-10-31
Category : Technology & Engineering
ISBN : 9781009005333
"The proposed book is an introductory text covering the fundamentals and applications of transport phenomena in a single volume. It aims to interlink mathematics with physical concepts by solving equations using numerical techniques and explaining their industrial applications. It thus provides a foundation for advanced courses in fluid mechanics, multiphase flows and turbulence. The supplements package of the book will have lecture slides and solutions to all of the practice problems in the book"--
Author : Anonim
Publisher : Elsevier
Page : 1017 pages
File Size : 51,8 Mb
Release : 2001-08-15
Category : Mathematics
ISBN : 9780080532806
The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banachspace theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 564 pages
File Size : 54,7 Mb
Release : 2007-11-23
Category : Mathematics
ISBN : 9780306483738
This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.
Author : Jörg Eschmeier,Mihai Putinar
Publisher : Oxford University Press
Page : 378 pages
File Size : 52,9 Mb
Release : 1996
Category : Language Arts & Disciplines
ISBN : 0198536674
Rapid developments in multivariable spectral theory have led to important and fascinating results which also have applications in other mathematical disciplines. In this book, various concepts from function theory and complex analytic geometry are drawn together to give a new approach to concrete spectral computations and give insights into new developments in the spectral theory of linear operators. Classical results from cohomology theory of Banach algebras, multidimensional spectral theory, and complex analytic geometry have been freshly interpreted using the language of homological algebra. The advantages of this approach are illustrated by a variety of examples, unexpected applications, and conceptually new ideas that should stimulate further research among mathematicians.
Author : Robert S. Doran
Publisher : American Mathematical Soc.
Page : 399 pages
File Size : 48,9 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821851753
This volume contains the proceedings of an AMS Special Session held at the Joint Mathematics Meetings in San Antonio in January 1993 to celebrate the first fifty years of $C^*$-algebra theory. The book contains carefully written expository and research articles by leaders in the field. Also included is a reprinting of the original 1943 paper on $C^*$-algebras by Gelfand and Neumark, which has had such a profound influence on the field. The volume covers a broad spectrum of topics, including the Gelfand-Neumark theorems, $C^*$-algebras and quantization, projections in $C^*$-algebras, Mackey's theory of group representations and their relation to $C^*$-algebras, transformation group $C^*$-algebras, the influence of algebraic topology on $C^*$-algebras, K-theory and index theory in operator algebras, exponential rank in $C^*$-algebras, and a survey of the development of type III von Neumann algebras. With historical perspectives and up-to-date overviews to orient readers new to the field, this book will interest mathematicians, physicists, and mathematical historians.
Author : T. Ando,I. Gohberg
Publisher : Birkhäuser
Page : 417 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034886062
Author : Douglas N. Clark
Publisher : CRC Press
Page : 294 pages
File Size : 51,9 Mb
Release : 1999-12-15
Category : Mathematics
ISBN : 1420049992
Clear, rigorous definitions of mathematical terms are crucial to good scientific and technical writing-and to understanding the writings of others. Scientists, engineers, mathematicians, economists, technical writers, computer programmers, along with teachers, professors, and students, all have the occasional-if not frequent-need for comprehensible, working definitions of mathematical expressions. To meet that need, CRC Press proudly introduces its Dictionary of Analysis, Calculus, and Differential Equations - the first published volume in the CRC Comprehensive Dictionary of Mathematics. More than three years in development, top academics and professionals from prestigious institutions around the world bring you more than 2,500 detailed definitions, written in a clear, readable style and complete with alternative meanings, and related references.
Author : V. P. Havin,S. V. Hruscev,N. K. Nikol'skii,V. I. Vasyunin
Publisher : Springer
Page : 738 pages
File Size : 42,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540387589
Author : Kenneth R. Davidson
Publisher : American Mathematical Society, Fields Institute
Page : 325 pages
File Size : 51,6 Mb
Release : 2023-10-04
Category : Mathematics
ISBN : 9781470475086
The subject of C*-algebras received a dramatic revitalization in the 1970s by the introduction of topological methods through the work of Brown, Douglas, and Fillmore on extensions of C*-algebras and Elliott's use of $K$-theory to provide a useful classification of AF algebras. These results were the beginning of a marvelous new set of tools for analyzing concrete C*-algebras. This book is an introductory graduate level text which presents the basics of the subject through a detailed analysis of several important classes of C*-algebras. The development of operator algebras in the last twenty years has been based on a careful study of these special classes. While there are many books on C*-algebras and operator algebras available, this is the first one to attempt to explain the real examples that researchers use to test their hypotheses. Topics include AF algebras, Bunce–Deddens and Cuntz algebras, the Toeplitz algebra, irrational rotation algebras, group C*-algebras, discrete crossed products, abelian C*-algebras (spectral theory and approximate unitary equivalence) and extensions. It also introduces many modern concepts and results in the subject such as real rank zero algebras, topological stable rank, quasidiagonality, and various new constructions. These notes were compiled during the author's participation in the special year on C*-algebras at The Fields Institute for Research in Mathematical Sciences during the 1994–1995 academic year. The field of C*-algebras touches upon many other areas of mathematics such as group representations, dynamical systems, physics, $K$-theory, and topology. The variety of examples offered in this text expose the student to many of these connections. Graduate students with a solid course in functional analysis should be able to read this book. This should prepare them to read much of the current literature. This book is reasonably self-contained, and the author has provided results from other areas when necessary.
Author : I. Gohberg
Publisher : Birkhäuser
Page : 277 pages
File Size : 42,7 Mb
Release : 2013-11-22
Category : Science
ISBN : 9783034854757
Author : J.M. Bachar,D.W. Hadwin
Publisher : Springer
Page : 186 pages
File Size : 44,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540355571
Author : Ronald G. Douglas,Claude Schochet
Publisher : American Mathematical Soc.
Page : 204 pages
File Size : 51,5 Mb
Release : 1982
Category : Mathematics
ISBN : 9780821850114
