Metric Spaces and Complex Analysis
Author: Amar Kumar Banerjee
Publisher: New Age International
Published: 2008
Total Pages: 27
ISBN-13: 8122422608
DOWNLOAD EBOOK →Lanterna Rally
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Metric Spaces
Author: Satish Shirali
Publisher: Springer Science & Business Media
Published: 2006
Total Pages: 238
ISBN-13: 9781852339227
DOWNLOAD EBOOK →One of the first books to be dedicated specifically to metric spaces Full of worked examples, to get complex ideas across more easily
Mathematics ( Paper 1 ) Metric Spaces & Complex Analysis
Author: Dr. Anil Kumar Tiwari
Publisher: Thakur Publication Private Limited
Published: 2024-04-01
Total Pages: 352
ISBN-13: 9357557334
DOWNLOAD EBOOK →Buy Latest Mathematics ( Paper 1 ) Metric Spaces & Complex Analysis e-Book for B.Sc 6th Semester UP State Universities By Thakur publication.
Real Variables with Basic Metric Space Topology
Author: Robert B. Ash
Publisher: Courier Corporation
Published: 2014-07-28
Total Pages: 216
ISBN-13: 0486151492
DOWNLOAD EBOOK →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.
Metric Spaces
Author: E. T. Copson
Publisher: CUP Archive
Published: 1988-02-11
Total Pages: 156
ISBN-13: 9780521357326
DOWNLOAD EBOOK →Professor Copson's book provides a more leisurely treatment of metric spaces than is found in books on functional analysis.
Introduction to the Analysis of Metric Spaces
Author: John R. Giles
Publisher: Cambridge University Press
Published: 1987-09-03
Total Pages: 276
ISBN-13: 9780521359283
DOWNLOAD EBOOK →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.
Topology of Metric Spaces
Author: S. Kumaresan
Publisher: Alpha Science Int'l Ltd.
Published: 2005
Total Pages: 172
ISBN-13: 9781842652503
DOWNLOAD EBOOK →"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.
Metric Space
Author: S.C. Sharma
Publisher: Discovery Publishing House
Published: 2006
Total Pages: 316
ISBN-13: 9788183561181
DOWNLOAD EBOOK →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.
Real Analysis
Author: N. L. Carothers
Publisher: Cambridge University Press
Published: 2000-08-15
Total Pages: 420
ISBN-13: 9780521497565
DOWNLOAD EBOOK →A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.
Metric Spaces
Author: Robert Magnus
Publisher:
Published: 2022
Total Pages: 0
ISBN-13: 9783030949471
DOWNLOAD EBOOK →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.
