Introduction to Topology
3rd Edition
Third Edition
eBook Features
-
Read Anywhere
Read your book anywhere, on any device, through RedShelf's cloud based eReader.
-
Digital Notes and Study Tools
Built-in study tools include highlights, study guides, annotations, definitions, flashcards, and collaboration.
-
Text-to-Speech Compatible
Have the book read to you!
-
Offline Access
(
20% )
The publisher of this book allows a portion of the content to be used offline.
-
Printing
(
20%
)
The publisher of this book allows a portion of the content to be printed.
-
Copy/Paste
(
20% )
The publisher of this book allows a portion of the content to be copied and pasted into external tools and documents.
Additional Book Details
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.
Sold By | Dover Publications |
---|---|
ISBNs | 9780486663524, 0486135098, 9780486135090, 9780486135090, 9780486663524 |
Language | eng |
Number of Pages | 224 |
Edition | 3rd |