SKU: 85554752722

Introduction to Topology: Third Edition

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Introduction to Topology: Third EditionHighly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems. The book's principal aim is to provide a simple, thorough survey of elementary

Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure.The author begins with an informal discussion of set theory in Chapter 1, reserving coverage of countability for Chapter 5, where it appears in the context of compactness. In the second chapter Professor Mendelson discusses metric spaces, paying particular attention to various distance functions which may be defined on Euclidean n-space and which lead to the ordinary topology. Chapter 3 takes up the concept of topological space, presenting it as a generalization of the concept of a metric space. Chapters 4 and 5 are devoted to a discussion of the two most important topological properties: connectedness and compactness. Throughout the text, Dr. Mendelson, a former Professor of Mathematics at Smith College, has included many challenging and stimulating exercises to help students develop a solid grasp of the material presented.

Binding Type: Paperback
Publisher: Dover Publications
Published: 07/01/1990
ISBN: 9780486663524
Pages: 224
Weight: 0.51lbs
Size: 8.41h x 5.44w x 0.45d
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Update: I’ve had this charger for about 9-10 months. I still love it, but it seems that the watch charger is only working intermittently. Sometimes it charges and sometimes it doesn’t. Another odd thing with the watch charger is that my watch will chime occasionally in the middle of the night. Doesn’t do this on the standard Apple Watch charger, so, I’m not sure what is causing this. Due to these issues with the watch charger, I dropped one star. Original Review: This charger is great. The magnetic hold is strong and it keeps my iPhone 16 pro max solidly in place all night. Despite this solid hold it can remove it easily by sliding the phone up or down off of the magnet. The fact that I can charge my watch and air pods simultaneously is even better. Being able to store all three items on one device that takes up a small footprint on my nightstand is even better. The hold on these items is very light and they are easy to remove as well. There is a small green led light, but I can say I don’t even notice it.
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