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Author : Amar Kumar Banerjee
Publisher : New Age International
ISBN 13 : 8122422608
Total Pages : 27 pages
Book Rating : 4.03/5 ( download)
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:
Author : Satish Shirali
Publisher : Springer Science & Business Media
ISBN 13 : 9781852339227
Total Pages : 238 pages
Book Rating : 4.25/5 ( download)
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
Author : Dr. Anil Kumar Tiwari
Publisher : Thakur Publication Private Limited
ISBN 13 : 9357557334
Total Pages : 352 pages
Book Rating : 4.37/5 ( download)
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.
Author : Robert B. Ash
Publisher : Courier Corporation
ISBN 13 : 0486151492
Total Pages : 216 pages
Book Rating : 4.96/5 ( download)
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.
Author : E. T. Copson
Publisher : CUP Archive
ISBN 13 : 9780521357326
Total Pages : 156 pages
Book Rating : 4.22/5 ( download)
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.
Author : S. Kumaresan
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9781842652503
Total Pages : 172 pages
Book Rating : 4.08/5 ( download)
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.
Author : S.C. Sharma
Publisher : Discovery Publishing House
ISBN 13 : 9788183561181
Total Pages : 316 pages
Book Rating : 4.87/5 ( download)
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.
Author : N. L. Carothers
Publisher : Cambridge University Press
ISBN 13 : 9780521497565
Total Pages : 420 pages
Book Rating : 4.66/5 ( download)
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.
Author : Wilson A Sutherland
Publisher : Oxford University Press
ISBN 13 : 0191568309
Total Pages : 219 pages
Book Rating : 4.05/5 ( download)
Download or read book Introduction to Metric and Topological Spaces written by Wilson A Sutherland and published by Oxford University Press. This book was released on 2009-06-18 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting. This new edition of Wilson Sutherland's classic text introduces metric and topological spaces by describing some of that influence. The aim is to move gradually from familiar real analysis to abstract topological spaces, using metric spaces as a bridge between the two. The language of metric and topological spaces is established with continuity as the motivating concept. Several concepts are introduced, first in metric spaces and then repeated for topological spaces, to help convey familiarity. The discussion develops to cover connectedness, compactness and completeness, a trio widely used in the rest of mathematics. Topology also has a more geometric aspect which is familiar in popular expositions of the subject as `rubber-sheet geometry', with pictures of Möbius bands, doughnuts, Klein bottles and the like; this geometric aspect is illustrated by describing some standard surfaces, and it is shown how all this fits into the same story as the more analytic developments. The book is primarily aimed at second- or third-year mathematics students. There are numerous exercises, many of the more challenging ones accompanied by hints, as well as a companion website, with further explanations and examples as well as material supplementary to that in the book.
Author : Robert Magnus
Publisher :
ISBN 13 : 9783030949471
Total Pages : 0 pages
Book Rating : 4.78/5 ( download)
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.
