Items related to A Combinatorial Introduction to Topology (Dover Books...
Synopsis
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.
"synopsis" may belong to another edition of this title.
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A Combinatorial Introduction to Topology
Published by
Dover Publications Inc., 2003
ISBN 10: 0486679667
ISBN 13: 9780486679662
Used
Paperback
Seller: World of Books (was SecondSale), Montgomery, IL, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Good. Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required. Bibliography. 1979 edition. Seller Inventory # 00105226226
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A Combinatorial Introduction to Topology (Dover Books on Mathematics)
Seller: Wonder Book, Frederick, MD, U.S.A.
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Condition: Very Good. Very Good condition. A copy that may have a few cosmetic defects. May also contain light spine creasing or a few markings such as an owner's name, short gifter's inscription or light stamp. Seller Inventory # K09R-00794
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A Combinatorial Introduction to Topology (Dover Books on Mathematics)
Published by
Dover Publications (edition Revised ed.), 1994
ISBN 10: 0486679667
ISBN 13: 9780486679662
Used
Paperback
Seller: BooksRun, Philadelphia, PA, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: Very Good. Revised ed. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. Seller Inventory # 0486679667-11-1
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A Combinatorial Introduction to Topology
Published by
Dover Publications Inc., 2003
ISBN 10: 0486679667
ISBN 13: 9780486679662
Used
Paperback
Seller: World of Books Inc, Montgomery, IL, U.S.A.
Seller rating 4 out of 5 stars
Paperback. Condition: Good. Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required. Bibliography. 1979 edition. Seller Inventory # CIN0486679667G
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A Combinatorial Introduction to Topology (Dover Books on Mathematics)
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Condition: acceptable. Paperback Book. Book shows signs of Use and Wear on Cover s - All Pages are still legible and in Acceptable Condition. Seller Inventory # LACV.0486679667.A
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A Combinatorial Introduction to Topology
Published by
Dover Publications, Incorporated, 1994
ISBN 10: 0486679667
ISBN 13: 9780486679662
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Condition: Fine. Used book that is in almost brand-new condition. May contain a remainder mark. Better World Books: Buy Books. Do Good. Seller Inventory # 57970434-6
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Combinatorial Introduction to Topology
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A Combinatorial Introduction to Topology (Dover Books on Mathematics)
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Condition: acceptable. Acceptable condition. Reading copy. May have signs of wear and previous use scuffs, library copy, highlighting, writing, and underlining . May have foxing, slight water damage or tears. 100% GUARANTEE! Shipped with delivery confirmation. If you're not satisfied with purchase just return it! Seller Inventory # HSV.0486679667.A
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A Combinatorial Introduction to Topology (Paperback)
Published by
Dover Publications Inc., New York, 2003
ISBN 10: 0486679667
ISBN 13: 9780486679662
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Paperback. Condition: new. Paperback. 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. Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required. Bibliography. 1979 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486679662