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A Combinatorial Introduction to Topology by Michael Henle (Paperback, 2003)

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The creation of algebraic topology is a major accomplishment of 20th-century mathematics. The goal of this book is to show how geometric and algebraic ideas met and grew together into an important branch of mathematics in the recent past. The book also conveys the fun and adventure that can be part of a mathematical investigation.Combinatorial topology has a wealth of applications, many of which result from connections with the theory of differential equations. As the author points out, Combinatorial topology is uniquely the subject where students of mathematics below graduate level can see the three major divisions of mathematics - analysis, geometry, and algebra - working together amicably on important problems. To facilitate understanding, Professor Henle has deliberately restricted the subject matter of this volume, focusing especially on surfaces because the theorems can be easily visualized there, encouraging geometric intuition. In addition, this area presents many interesting applications arising from systems of differential equations. To illuminate the interaction of geometry and algebra, a single important algebraic tool - homology - is developed in detail.Written for upper-level undergraduate and graduate students, this book requires no previous acquaintance with topology or algebra. Point set topology and group theory are developed as they are needed. In addition, a supplement surveying point set topology is included for the interested student and for the instructor who wishes to teach a mixture of point set and algebraic topology. A rich selection of problems, some with solutions, are integrated into the text.

Product Identifiers

Publisher
Dover Publications Inc.
ISBN-13
9780486679662
eBay Product ID (ePID)
95281890

Product Key Features

Author
Michael Henle
Publication Name
A Combinatorial Introduction to Topology
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2003
Type
Textbook
Number of Pages
310 Pages

Dimensions

Item Height
214mm
Item Width
136mm

Additional Product Features

Title_Author
Michael Henle
Series Title
Dover Books on Mathematics
Country/Region of Manufacture
United States

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A Combinatorial Introduction to Topology by Michael Henle (Paperback, 2003)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Time Management by Peter Quarry (Paperback, 1986)

Silent Spring by Rachel Carson (Paperback, 2000)

Complete Illustrated Encyclopedia of Dinosaurs & Prehistoric Creatures by Dixon Dougal (Paperback, 2014)

Thunder of Hooves: A History of 12 Light Horse Regiment 1915-1919 by Kenneth Hollis (Hardcover, 2008)

Polyvagal Exercises for Safety and Connection: 50 Client-Centered Practices by Deb Dana (Paperback, 2020)

On Killing: The Psychological Cost of Learning to Kill in War and Society by Dave Grossman (Paperback, 2009)

Save on Adult Learning & University

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