Metric Space Topology Examples Exercises And Solutions
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| Author | : Wing-sum Cheung |
| Publisher | : World Scientific |
| Total Pages | : 442 |
| Release | : 2023-10-18 |
| Genre | : Mathematics |
| ISBN | : 9811266999 |
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:
| Author | : Mohammed Hichem Mortad |
| Publisher | : World Scientific |
| Total Pages | : 375 |
| Release | : 2016-10-18 |
| Genre | : Mathematics |
| ISBN | : 9813146958 |
'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.
| Author | : Mohammed Hichem Mortad |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 261 |
| Release | : 2014-02-28 |
| Genre | : Mathematics |
| ISBN | : 9814583839 |
The book offers a good introduction to topology through solved exercises. It is mainly intended for undergraduate students. Most exercises are given with detailed solutions.
| Author | : Mícheál O'Searcoid |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 318 |
| Release | : 2006-12-26 |
| Genre | : Mathematics |
| ISBN | : 1846286271 |
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.
| Author | : Satish Shirali |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 238 |
| Release | : 2006 |
| Genre | : 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 | : S. Kumaresan |
| Publisher | : Alpha Science Int'l Ltd. |
| Total Pages | : 172 |
| Release | : 2005 |
| Genre | : Computers |
| ISBN | : 9781842652503 |
"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 | : Dan Edwin Christie |
| Publisher | : |
| Total Pages | : 276 |
| Release | : 1976 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Sasho Kalajdzievski |
| Publisher | : CRC Press |
| Total Pages | : 152 |
| Release | : 2020-08-13 |
| Genre | : Mathematics |
| ISBN | : 1000158160 |
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.
| Author | : Wilson Alexander Sutherland |
| Publisher | : Oxford University Press |
| Total Pages | : 200 |
| Release | : 1975 |
| Genre | : Mathematics |
| ISBN | : 9780198531616 |
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 book 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. The book is aimed primarily at the second-year mathematics student, and numerous exercises are included.
| Author | : Michael C. Gemignani |
| Publisher | : Courier Corporation |
| Total Pages | : 292 |
| Release | : 1990-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780486665221 |
Topology is one of the most rapidly expanding areas of mathematical thought: while its roots are in geometry and analysis, topology now serves as a powerful tool in almost every sphere of mathematical study. This book is intended as a first text in topology, accessible to readers with at least three semesters of a calculus and analytic geometry sequence. In addition to superb coverage of the fundamentals of metric spaces, topologies, convergence, compactness, connectedness, homotopy theory, and other essentials, Elementary Topology gives added perspective as the author demonstrates how abstract topological notions developed from classical mathematics. For this second edition, numerous exercises have been added as well as a section dealing with paracompactness and complete regularity. The Appendix on infinite products has been extended to include the general Tychonoff theorem; a proof of the Tychonoff theorem which does not depend on the theory of convergence has also been added in Chapter 7.
