A Combinatorial Introduction to Topology (Dover Books on Mathematics)

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9780486679662: A Combinatorial Introduction to Topology (Dover Books on Mathematics)

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.

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Henle, Michael
ISBN 10: 0486679667 ISBN 13: 9780486679662
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Descripción 1994. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería V0-9780486679662

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Henle, Michael
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Descripción Dover Publishers. Estado de conservación: New. Brand New. Nº de ref. de la librería 0486679667

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Descripción 1994. PAP. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería IB-9780486679662

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Descripción Dover Publications, 1994. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería 0486679667

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Descripción Dover Publications Inc., United States, 1994. Paperback. Estado de conservación: New. New edition. Language: English . Brand New Book. 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. Nº de ref. de la librería AAC9780486679662

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Michael Henle
Editorial: Dover Publications Inc., United States (1994)
ISBN 10: 0486679667 ISBN 13: 9780486679662
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Descripción Dover Publications Inc., United States, 1994. Paperback. Estado de conservación: New. New edition. Language: English . Brand New Book. 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. Nº de ref. de la librería AAC9780486679662

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Henle, Michael
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ISBN 10: 0486679667 ISBN 13: 9780486679662
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Descripción Dover Publications Inc., United States, 1994. Paperback. Estado de conservación: New. New edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Nº de ref. de la librería BTE9780486679662

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