Metric Space Topology Examples Exercises And Solutions

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Metric Space Topology Examples Exercises And Solutions
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Author : Wing-sum Cheung
language : en
Publisher: World Scientific
Release Date : 2023-10-18
Metric Space Topology Examples Exercises And Solutions written by Wing-sum Cheung and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-18 with Mathematics categories.
This introductory book contains a rich collection of exercises and worked examples in Metric Spaces. Other than questions in the traditional setting, plenty of True-or-False type questions and open-ended questions are included. With detailed solutions, these are highly effective in helping students gain a bird's eye view and master the subject and pitfalls better. The presentation is clear in nurturing the mathematical insights and mathematical maturity of the readers.In this book, the pictorialization or visualization of abstract situations into simple pictures is very often crucially conducive to the understanding of the materials. This serves to give an insightful view of the intricate problems, as well as a clue or a direction to formulate rigorous arguments.The learning outcomes include:
Metric Space Topology Examples Exercises And Solutions
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Author : Wing-Sum Cheung
language : en
Publisher: World Scientific Publishing Company
Release Date : 2023-09
Metric Space Topology Examples Exercises And Solutions written by Wing-Sum Cheung and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09 with Mathematics categories.
This introductory book contains a rich collection of exercises and worked examples in Metric Spaces. Other than questions in the traditional setting, plenty of True-or-False type questions and open-ended questions are included. With detailed solutions, these are highly effective in helping students gain a bird's eye view and master the subject and pitfalls better. The presentation is clear in nurturing the mathematical insights and mathematical maturity of the readers.In this book, the pictorialization or visualization of abstract situations into simple pictures is very often crucially conducive to the understanding of the materials. This serves to give an insightful view of the intricate problems, as well as a clue or a direction to formulate rigorous arguments.The learning outcomes include:
Introductory Topology Exercises And Solutions Second Edition
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Author : Mohammed Hichem Mortad
language : en
Publisher: World Scientific
Release Date : 2016-10-18
Introductory Topology Exercises And Solutions Second Edition written by Mohammed Hichem Mortad and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-18 with Mathematics categories.
'The book is well written, and there is a welcome breadth in the choice of topics. I think this book is a valuable resource. Students who meticulously work through all the problems in the book in an intelligent way, will surely gain considerable insight into the subject; teachers who don’t tell their students about it will find it a valuable source for exam questions.'The Mathematical GazetteThe book offers a good introduction to topology through solved exercises. It is mainly intended for undergraduate students. Most exercises are given with detailed solutions.In the second edition, some significant changes have been made, other than the additional exercises. There are also additional proofs (as exercises) of many results in the old section 'What You Need To Know', which has been improved and renamed in the new edition as 'Essential Background'. Indeed, it has been considerably beefed up as it now includes more remarks and results for readers' convenience. The interesting sections 'True or False' and 'Tests' have remained as they were, apart from a very few changes.
An Illustrated Introduction To Topology And Homotopy Solutions Manual For Part 1 Topology
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Author : Sasho Kalajdzievski
language : en
Publisher: CRC Press
Release Date : 2020-08-13
An Illustrated Introduction To Topology And Homotopy Solutions Manual For Part 1 Topology written by Sasho Kalajdzievski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-13 with Mathematics categories.
This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author. Except for a small number of exercises inthe first few sections, we provide solutions of the (228) odd-numbered problemsappearing in first part of the book (Topology). The primary targets of this manual are thestudents of topology. This set is not disjoint from the set of instructors of topologycourses, who may also find this manual useful as a source of examples, exam problems,etc.
Topology Of Metric Spaces
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Author : S. Kumaresan
language : en
Publisher: Alpha Science Int'l Ltd.
Release Date : 2005
Topology Of Metric Spaces written by S. Kumaresan and has been published by Alpha Science Int'l Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.
"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 Spaces
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Author : Satish Shirali
language : en
Publisher: Springer Science & Business Media
Release Date : 2006
Metric Spaces written by Satish Shirali and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
One of the first books to be dedicated specifically to metric spaces Full of worked examples, to get complex ideas across more easily
An Advanced Complex Analysis Problem Book
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Author : Daniel Alpay
language : en
Publisher: Birkhäuser
Release Date : 2015-11-13
An Advanced Complex Analysis Problem Book written by Daniel Alpay and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-13 with Mathematics categories.
This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied.
Elementary Topology
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Author : O. I͡A. Viro
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Elementary Topology written by O. I͡A. Viro and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
"This textbook on elementary topologycontains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elernentary segment centered at the notions of fundamental group and covering space. The reader who has mastered the core material acquires a strong background in elementary topology and will feel at home in the environment of abstract mathemeatics."--BOOK JACKET.
Probabilistic Metric Spaces
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Author : B. Schweizer
language : en
Publisher: Courier Corporation
Release Date : 2011-11-30
Probabilistic Metric Spaces written by B. Schweizer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-30 with Mathematics categories.
This distinctly nonclassical treatment focuses on developing aspects that differ from the theory of ordinary metric spaces, working directly with probability distribution functions rather than random variables. The two-part treatment begins with an overview that discusses the theory's historical evolution, followed by a development of related mathematical machinery. The presentation defines all needed concepts, states all necessary results, and provides relevant proofs. The second part opens with definitions of probabilistic metric spaces and proceeds to examinations of special classes of probabilistic metric spaces, topologies, and several related structures, such as probabilistic normed and inner-product spaces. Throughout, the authors focus on developing aspects that differ from the theory of ordinary metric spaces, rather than simply transferring known metric space results to a more general setting.
Metric Spaces
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Author : Mícheál O'Searcoid
language : en
Publisher: Springer
Release Date : 2006-09-08
Metric Spaces written by Mícheál O'Searcoid and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-08 with Mathematics categories.
The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to the more abstract concepts of convergence and continuity, the author takes the concrete notion of distance as far as possible, illustrating the text with examples and naturally arising questions. Attention to detail at this stage is designed to prepare the reader to understand the more abstract ideas with relative ease.