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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 spa

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Book ID Asin: B01L21FX0M
Book Title: Introduction to Metric and Topological Spaces (Oxford Mathematics)
Book Author: Wilson A Sutherland
Book Format and Price:
Book Format Name: eTextbook
Book Format Price: $31.19
Book Format Name: Hardcover
Book Format Price: $78.59-$110.00
Book Format Name: Paperback
Book Format Price: $27.70-$34.40
Book Price: $24.65
Book Category: Kindle Store, Kindle eBooks, Science & Math and unknown
Book Rating: 37 ratings

Introduction to Metric and Topological Spaces (Oxford Mathematics) by Wilson A Sutherland Book Review

Name: Ricardo Acuna
Rating: 5.0 out of 5 stars
Title: .0 out of 5 stars Treat it like the bible
Date: Reviewed in the United States on February 23, 2020
Review: It gives a concrete treatment of metrics before delving into point-set topology.

Name: raimundo costa
Rating: 3.0 out of 5 stars
Title: .0 out of 5 stars Three Stars
Date: Reviewed in the United States on August 3, 2014
Review: not bad for beginner.

Name: Michael Wischmeyer
Rating: 4.0 out of 5 stars
Title: .0 out of 5 stars More Rigorous Than Some Introductory Texts
Date: Reviewed in the United States on October 31, 2003
Review: I purchased Introduction to Metric and Topological Spaces two years ago. I was unprepared for its rigor. I am not a mathematics major, but I enjoy reading mathematics. My background includes calculus, linear algebra, differential equations, and other applied mathematics, but I have not had a course in real analysis. W. A. Sutherland intended this text as the next step after analysis.
After a brief foray, I retreated, placed Sutherland back on my bookshelf, and attacked some marginally easier introductory texts: Metric Spaces by Victor Bryant, Introduction to Topology by Bert Mendelson, and most recently, several chapters in Introduction to Analysis by Maxwell Rosenlicht. I periodically return to W. A. Sutherland's text to measure my understanding. I am now working on chapter five, Compact Spaces.
I doubt that Introduction to Metric and Topological Spaces would be foreboding to students that are familiar with real analysis. Sutherland understands that the abstractness and generalization can be difficult and shows concern with motivating the student. He repeatedly attempts to illustrate the value of generalization, especially in the study of continuity.
Sutherland often uses a lengthy series of examples of increasing difficulty to illustrate abstract concepts. In his discussion of metric spaces, we begin with Euclidian n-space metrics, and move on to discrete metric spaces, function spaces, and even Hilbert sequence spaces. He introduces open sets and topological spaces in a similar fashion.
The author occasionally suggests that the student might wish to make a geometrical diagram to help clarify some subtle point, but Sutherland includes few geometrical drawings in his text. His focus is clearly on proofs using the axioms of metric spaces and topological spaces.
Sutherland highlights sections that either require more knowledge of abstract algebra, or for other reasons are thought to be more severe.
Despite Sutherland's use of Introduction in the title, I suggest that any reader considering independent study might defer tackling Introduction to Metric and Topological Spaces until after completing a more basic text. Possibly a better title might be A Second Introduction to Metric and Topological Spaces.

Name: [email protected]
Rating: 5.0 out of 5 stars
Title: .0 out of 5 stars A great self-contained text
Date: Reviewed in the United States on September 12, 2000
Review: A lot of books on topology assume some basic knowledge of real analysis, which can throw a lot of readers off. This book starts from the very beginning, and thus is truly a great introduction. Each section has some good exercises, with even a few pointers at the back of the book for the more challenging ones. It starts with topological aspects, and then refers to them in the case of metric spaces (amongst many others), which is a much better approach than most other books, as the reader doesn't take the details of the specific to the general. A great little book, which is a must for most advanced maths Analysis courses.

Name: Todd Ebert
Rating: 5.0 out of 5 stars
Title: .0 out of 5 stars An excellent, concise book on topology and metric spaces.
Date: Reviewed in the United States on September 14, 2000
Review: I enjoyed reading this book because of its clarity, conciseness, and nice way of relating topological and metric spaces. This book is ideal for the student who is learning about these subjects for the first time, whether or not they intend to do more advanced work on the subject. The reader who wants to go on and learn about more advanced topics, should consult Munkres's book.

Name: Leonard D
Rating: 5.0 out of 5 stars
Title: .0 out of 5 stars Great introductory text
Date: Reviewed in the United States on August 24, 2020
Review: I needed a text to introduce me to Topological Spaces that was accessible without in depth understanding of real analysis. This book fit the bill because it stands on its own and develops ideas as they are needed. Lots of good examples and good problem sets makes it a very workable text for self study or class use.

Name: Repeat Customer
Rating: 5.0 out of 5 stars
Title: .0 out of 5 stars Concise
Date: Reviewed in the United States on July 6, 2022
Review: Concise book with many exercises that builds on the intuition gained from an introductory analysis course. Excellent text for one-semester introduction to point-set topology. Useful for preparing for MS-level preliminary exam.