Henle, Michael
A Combinatorial Introduction to Topology
- ISBN 13:
- 9780486679662
- author:
- Henle, Michael
- format:
- Paperback
- publisher:
- Dover Publications Inc.
- language:
- English
- Publication Year:
- 2003
- Pages:
- 310
- Dimensions:
- 136 mm X 214 mm
- Genre:
- Algebraic topology
- Condition:
- New
- Availability:
- Item usually sent within 7 working days
Description
A Combinatorial Introduction to Topology by Michael Henle is an accessible introduction to algebraic topology. This book explores how geometric and algebraic ideas merged to form a significant branch of mathematics in the 20th century. It also conveys the excitement and adventure that can be part of mathematical investigation. Combinatorial topology has numerous applications, particularly in connections with differential equations theory. The author highlights its unique value in allowing students at undergraduate level to see how analysis, geometry, and algebra work together on important problems. To facilitate understanding, Professor Henle focuses on surfaces, where theorems can be easily visualized, encouraging geometric intuition. The book develops key algebraic tools, such as homology, in detail and includes a supplement surveying point set topology for interested students or instructors. A rich selection of problems with solutions is integrated into the text, making it suitable for upper-level undergraduate and graduate students.
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