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Introduction To Topology Third Edition Dover On Mathematics

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Introduction to Topology: Third Edition (Dover on Mathematics)

Introduction to Topology: Third Edition (Dover Books on Mathematics)

by Bert Mendelson

4.5 out of 5

Language	:	English
File size	:	19908 KB
Text-to-Speech	:	Enabled
Screen Reader	:	Supported
Enhanced typesetting	:	Enabled
Print length	:	226 pages
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Topology is a branch of mathematics that deals with the study of geometric properties that are invariant under continuous deformations, such as stretching, bending, or twisting. It is one of the most fundamental branches of mathematics, and has applications in a wide range of fields, including physics, engineering, and computer science.

to Topology, 3rd Edition by Bert Mendelson is a comprehensive and accessible to topology for advanced undergraduates and graduate students in mathematics, as well as for professionals in related fields. It has been praised for its clear exposition, numerous worked examples, and exercises that guide readers through the intricacies of topology.

Key Features of the Third Edition

Updated and revised throughout to reflect the latest developments in topology
Hundreds of worked examples help students to understand and apply the concepts of topology
Over 800 exercises provide students with ample opportunity to practice their skills
A glossary of terms helps students to keep track of the new vocabulary that they encounter

The book is divided into four parts:

Point-Set Topology: This part provides a foundation for the rest of the book by introducing the basic concepts of topology, such as open and closed sets, continuity, and compactness.
Algebraic Topology: This part introduces the fundamental group and homology groups, which are two of the most important topological invariants. It also covers applications to the classification of surfaces.
Geometric Topology: This part introduces the concept of a manifold, which is a generalization of a surface to higher dimensions. It also covers applications to knot theory.
Differential Topology: This part introduces the concepts of a differentiable manifold and a vector bundle, which are used to study the geometry of smooth surfaces and other objects.

About the Author

Bert Mendelson is a professor of mathematics at Queens College, City University of New York. He is the author of several books on topology, including An to Topology, Topology: A Geometric Approach, and Algebraic Topology.

to Topology, 3rd Edition by Bert Mendelson is a comprehensive and accessible to topology for advanced undergraduates and graduate students in mathematics, as well as for professionals in related fields. It is a well-written and well-organized book that provides a clear and thorough to the subject.

If you are interested in learning more about topology, I highly recommend this book.

Click here to purchase to Topology, 3rd Edition on Amazon.com

Introduction to Topology: Third Edition (Dover Books on Mathematics)

by Bert Mendelson

4.5 out of 5