Metric Spaces and Complex Analysis
Author : Amar Kumar Banerjee
Publisher : New Age International
Page : 27 pages
File Size : 43,33 MB
Release : 2008
Category :
ISBN : 8122422608
Author : Amar Kumar Banerjee
Publisher : New Age International
Page : 27 pages
File Size : 43,33 MB
Release : 2008
Category :
ISBN : 8122422608
Author : Satish Shirali
Publisher : Springer Science & Business Media
Page : 238 pages
File Size : 25,18 MB
Release : 2006
Category : Mathematics
ISBN : 9781852339227
One of the first books to be dedicated specifically to metric spaces Full of worked examples, to get complex ideas across more easily
Author : Dr. Anil Kumar Tiwari
Publisher : Thakur Publication Private Limited
Page : 352 pages
File Size : 35,16 MB
Release : 2024-04-01
Category : Education
ISBN : 9357557334
Buy Latest Mathematics ( Paper 1 ) Metric Spaces & Complex Analysis e-Book for B.Sc 6th Semester UP State Universities By Thakur publication.
Author : John R. Giles
Publisher : Cambridge University Press
Page : 276 pages
File Size : 50,86 MB
Release : 1987-09-03
Category : Mathematics
ISBN : 9780521359283
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.
Author : E. T. Copson
Publisher : CUP Archive
Page : 156 pages
File Size : 28,12 MB
Release : 1988-02-11
Category : Mathematics
ISBN : 9780521357326
Professor Copson's book provides a more leisurely treatment of metric spaces than is found in books on functional analysis.
Author : S.C. Sharma
Publisher : Discovery Publishing House
Page : 316 pages
File Size : 24,99 MB
Release : 2006
Category : Metric spaces
ISBN : 9788183561181
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.
Author : Robert B. Ash
Publisher : Courier Corporation
Page : 216 pages
File Size : 30,23 MB
Release : 2014-07-28
Category : Mathematics
ISBN : 0486151492
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.
Author : Luigi Ambrosio
Publisher : Oxford University Press, USA
Page : 148 pages
File Size : 29,30 MB
Release : 2004
Category : Mathematics
ISBN : 9780198529385
This book presents the main mathematical prerequisites for analysis in metric spaces. It covers abstract measure theory, Hausdorff measures, Lipschitz functions, covering theorums, lower semicontinuity of the one-dimensional Hausdorff measure, Sobolev spaces of maps between metric spaces, and Gromov-Hausdorff theory, all developed ina general metric setting. The existence of geodesics (and more generally of minimal Steiner connections) is discussed on general metric spaces and as an application of the Gromov-Hausdorff theory, even in some cases when the ambient space is not locally compact. A brief and very general description of the theory of integration with respect to non-decreasing set functions is presented following the Di Giorgi method of using the 'cavalieri' formula as the definition of the integral. Based on lecture notes from Scuola Normale, this book presents the main mathematical prerequisites for analysis in metric spaces. Supplemented with exercises of varying difficulty it is ideal for a graduate-level short course for applied mathematicians and engineers.
Author : N. L. Carothers
Publisher : Cambridge University Press
Page : 420 pages
File Size : 13,93 MB
Release : 2000-08-15
Category : Mathematics
ISBN : 9780521497565
A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.
Author : Jiri Lebl
Publisher :
Page : 306 pages
File Size : 17,37 MB
Release : 2020-09-16
Category :
ISBN :
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.