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Author: Sameer Chavan
Publisher: Cambridge University Press
Published: 2021-10-07
Total Pages: 259
ISBN-13: 1316519309
DOWNLOAD EBOOK →The book discusses the complete proof of the Brown-Douglas-Fillmore theorem along with a number of its applications.
Author: Sameer Chavan
Publisher: Cambridge University Press
Published: 2021-10-07
Total Pages: 260
ISBN-13: 1009032453
DOWNLOAD EBOOK →Suitable for both postgraduate students and researchers in the field of operator theory, this book is an excellent resource providing the complete proof of the Brown-Douglas-Fillmore theorem. The book starts with a rapid introduction to the standard preparatory material in basic operator theory taught at the first year graduate level course. To quickly get to the main points of the proof of the theorem, several topics that aid in the understanding of the proof are included in the appendices. These topics serve the purpose of providing familiarity with a large variety of tools used in the proof and adds to the flexibility of reading them independently.
Author: Nigel Higson
Publisher: OUP Oxford
Published: 2000-12-07
Total Pages: 426
ISBN-13: 0191589209
DOWNLOAD EBOOK →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
Publisher: Springer
Published: 2006-12-08
Total Pages: 517
ISBN-13: 3540483675
DOWNLOAD EBOOK →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
Published: 2022-10-31
Total Pages: 515
ISBN-13: 1009005332
DOWNLOAD EBOOK →"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: Jörg Eschmeier
Publisher: Oxford University Press
Published: 1996
Total Pages: 378
ISBN-13: 9780198536673
DOWNLOAD EBOOK →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: Michiel Hazewinkel
Publisher: Springer Science & Business Media
Published: 2007-11-23
Total Pages: 564
ISBN-13: 0306483734
DOWNLOAD EBOOK →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:
Publisher: Elsevier
Published: 2001-08-15
Total Pages: 1017
ISBN-13: 0080532802
DOWNLOAD EBOOK →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:
Publisher: American Mathematical Soc.
Published: 1994
Total Pages: 434
ISBN-13: 0821851756
DOWNLOAD EBOOK →Author: I. Gohberg
Publisher: Birkhäuser
Published: 2013-11-22
Total Pages: 277
ISBN-13: 3034854757
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