Download or read book Metric Spaces and Complex Analysis written by Amar Kumar Banerjee and published by New Age International. This book was released on 2008 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Metric Spaces written by Satish Shirali and published by Springer Science & Business Media. This book was released on 2006 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the first books to be dedicated specifically to metric spaces Full of worked examples, to get complex ideas across more easily
Download or read book Mathematics Paper 1 Metric Spaces Complex Analysis written by Dr. Anil Kumar Tiwari and published by Thakur Publication Private Limited. This book was released on 2024-04-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Buy Latest Mathematics ( Paper 1 ) Metric Spaces & Complex Analysis e-Book for B.Sc 6th Semester UP State Universities By Thakur publication.
Download or read book Introduction to the Analysis of Metric Spaces written by John R. Giles and published by Cambridge University Press. This book was released on 1987-09-03 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to the analysis of metric and normed linear spaces for undergraduate students in mathematics. Assuming a basic knowledge of real analysis and linear algebra, the student is exposed to the axiomatic method in analysis and is shown its power in exploiting the structure of fundamental analysis, which underlies a variety of applications. An example is the link between normed linear spaces and linear algebra; finite dimensional spaces are discussed early. The treatment progresses from the concrete to the abstract: thus metric spaces are studied in some detail before general topology is begun, though topological properties of metric spaces are explored in the book. Graded exercises are provided at the end of each section; in each set the earlier exercises are designed to assist in the detection of the structural properties in concrete examples while the later ones are more conceptually sophisticated.
Download or read book Metric Spaces written by E. T. Copson and published by CUP Archive. This book was released on 1988-02-11 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Copson's book provides a more leisurely treatment of metric spaces than is found in books on functional analysis.
Download or read book Metric Space written by S.C. Sharma and published by Discovery Publishing House. This book was released on 2006 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book Metric Space has been written for the students of various universities. In the earlier chapters, proof are given in considerable detail, as our subject unfolds through the successive chapters and the reader acquires experience in following abstract mathematical arguments, the proof become briefer and minor details are more and more left for the reader to fill in for himself. It is a basic principle in the study of mathematics, and one too seldom emphasised that a proof is not really understood until the stage is reached at which one can grasp it is a whole and see it as a single idea. In achieving this end much more is necessary than merely following the individual steps in the reasoning. Contents: Basic Concept of Set, Metric Space, Compactness.
Download or read book Real Variables with Basic Metric Space Topology written by Robert B. Ash and published by Courier Corporation. This book was released on 2014-07-28 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a first course in real variables, this text presents the fundamentals for more advanced mathematical work, particularly in the areas of complex variables, measure theory, differential equations, functional analysis, and probability. Geared toward advanced undergraduate and graduate students of mathematics, it is also appropriate for students of engineering, physics, and economics who seek an understanding of real analysis. The author encourages an intuitive approach to problem solving and offers concrete examples, diagrams, and geometric or physical interpretations of results. Detailed solutions to the problems appear within the text, making this volume ideal for independent study. Topics include metric spaces, Euclidean spaces and their basic topological properties, sequences and series of real numbers, continuous functions, differentiation, Riemann-Stieltjes integration, and uniform convergence and applications.
Download or read book Guide to Cultivating Complex Analysis written by Jiri Lebl and published by . This book was released on 2020-09-16 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory course in complex analysis for incoming graduate students. Created to teach Math 5283 at Oklahoma State University. The book has somewhat more material than could fit in a one-semester course, allowing some choices. There are also appendices on metric spaces and some basic analysis background to make for a longer and more complete course for those that have only had an introduction to basic analysis on the real line.
Download or read book Real Analysis written by N. L. Carothers and published by Cambridge University Press. This book was released on 2000-08-15 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.
Download or read book Metric Spaces of Fuzzy Sets written by Phil Diamond and published by World Scientific. This book was released on 1994 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets, mainly on the base space ?n. An additional aim is to sketch selected applications in which these metric space results and methods are essential for a thorough mathematical analysis.This book is distinctly mathematical in its orientation and style, in contrast with many of the other books now available on fuzzy sets, which, although all making use of mathematical formalism to some extent, are essentially motivated by and oriented towards more immediate applications and related practical issues. The reader is assumed to have some previous undergraduate level acquaintance with metric spaces and elementary functional analysis.
Download or read book Metric Spaces written by Robert Magnus and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the theory of Metric Spaces necessary for studying analysis beyond one real variable. Rich in examples, exercises and motivation, it provides a careful and clear exposition at a pace appropriate to the material. The book covers the main topics of metric space theory that the student of analysis is likely to need. Starting with an overview defining the principal examples of metric spaces in analysis (chapter 1), it turns to the basic theory (chapter 2) covering open and closed sets, convergence, completeness and continuity (including a treatment of continuous linear mappings). There is also a brief dive into general topology, showing how metric spaces fit into a wider theory. The following chapter is devoted to proving the completeness of the classical spaces. The text then embarks on a study of spaces with important special properties. Compact spaces, separable spaces, complete spaces and connected spaces each have a chapter devoted to them. A particular feature of the book is the occasional excursion into analysis. Examples include the Mazur-Ulam theorem, Picard's theorem on existence of solutions to ordinary differential equations, and space filling curves. This text will be useful to all undergraduate students of mathematics, especially those who require metric space concepts for topics such as multivariate analysis, differential equations, complex analysis, functional analysis, and topology. It includes a large number of exercises, varying from routine to challenging. The prerequisites are a first course in real analysis of one real variable, an acquaintance with set theory, and some experience with rigorous proofs.
Download or read book Lectures on Analysis on Metric Spaces written by Juha Heinonen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to communicate some of the recent advances in this field while preparing the reader for more advanced study. The material can be roughly divided into three different types: classical, standard but sometimes with a new twist, and recent. The author first studies basic covering theorems and their applications to analysis in metric measure spaces. This is followed by a discussion on Sobolev spaces emphasizing principles that are valid in larger contexts. The last few sections of the book present a basic theory of quasisymmetric maps between metric spaces. Much of the material is recent and appears for the first time in book format.
Download or read book Topology of Metric Spaces written by S. Kumaresan and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Topology of Metric Spaces gives a very streamlined development of a course in metric space topology emphasizing only the most useful concepts, concrete spaces and geometric ideas to encourage geometric thinking, to treat this as a preparatory ground for a general topology course, to use this course as a surrogate for real analysis and to help the students gain some perspective of modern analysis." "Eminently suitable for self-study, this book may also be used as a supplementary text for courses in general (or point-set) topology so that students will acquire a lot of concrete examples of spaces and maps."--BOOK JACKET.
Download or read book The Elements of Complex Analysis written by B. Choudhary and published by New Age International. This book was released on 1993 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book Is Intended To Be A Simple And Easy Introduction To The Subject. It Is Meant As A Textbook For A Course In Complex Analysis At Postgraduate Level Of Indian Universities.Some Of The Welcome Features Of The Book Are: Proofs And Motivation For The Theory: Examples Are Provided To Illustrate The Concepts; Exercises Of Various Levels Of Difficulty Are Given At The End Of Every Chapter: Keeping In View The Applied Nature Of The Subject, Ordinary Linear Homogeneous Differential Equations Of The Second Order And Conformal Mapping And Its Applications Are Given More Attention Than Most Other Books: Uniform Approximation And Elliptic Functions Are Treated In Great Detail; There Is Also A Detailed Treatment Of Harmonic Functions, Weierstrass Approximation Theorem, Analytic Continuation, Riemann Mapping Theorem, Homological Version OfCauchys Theorem And Its Applications; Diagrams Are Provided Whenever Feasible To Help The Reader Develop Skill In Using Imagination To Visualise Abstract Ideas; Solutions To Some Selected Exercises Which Involve Lot Of New Ideas And Theoretical Considerations Have Been Provided At The End.
Download or read book Metric Spaces written by Victor Bryant and published by Cambridge University Press. This book was released on 1985-05-02 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to metric spaces for those interested in the applications as well as theory.
Download or read book Invariant Distances and Metrics in Complex Analysis written by Marek Jarnicki and published by Walter de Gruyter. This book was released on 2013-06-26 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: As in the field of "Invariant Distances and Metrics in Complex Analysis" there was and is a continuous progress this is now the second extended edition of the corresponding monograph. This comprehensive book is about the study of invariant pseudodistances (non-negative functions on pairs of points) and pseudometrics (non-negative functions on the tangent bundle) in several complex variables. It is an overview over a highly active research area at the borderline between complex analysis, functional analysis and differential geometry. New chapters are covering the Wu, Bergman and several other metrics. The book considers only domains in Cn and assumes a basic knowledge of several complex variables. It is a valuable reference work for the expert but is also accessible to readers who are knowledgeable about several complex variables. Each chapter starts with a brief summary of its contents and continues with a short introduction. It ends with an "Exercises" and a "List of problems" section that gathers all the problems from the chapter. The authors have been highly successful in giving a rigorous but readable account of the main lines of development in this area.
Download or read book Lipschitz Algebras written by Nik Weaver and published by World Scientific. This book was released on 1999 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lipschitz algebras Lp(M), for M a complete metric space, are quite analogous to the spaces C(omega) and Linfinity(X), for omega a compact Hausdorff space and X a sigma-finite measure space. Although the Lipschitz algebras have not been studied as thoroughly as these better-known cousins, it is becoming increasingly clear that they play a fundamental role in functional analysis, and are also useful in many applications, especially in the direction of metric geometry. This book gives a comprehensive treatment of (what is currently known about) the beautiful theory of these algebras.
