# Algebraic Topology: A First Course (Graduate Texts in Mathematics)

## William Fulton

Note moyenne 4
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To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re­ lations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ­ ential topology, etc.), we concentrate our attention on concrete prob­ lems in low dimensions, introducing only as much algebraic machin­ ery as necessary for the problems we meet. This makes it possible to see a wider variety of important features of the subject than is usual in a beginning text. The book is designed for students of mathematics or science who are not aiming to become practicing algebraic topol­ ogists-without, we hope, discouraging budding topologists. We also feel that this approach is in better harmony with the historical devel­ opment of the subject. What would we like a student to know after a first course in to­ pology (assuming we reject the answer: half of what one would like the student to know after a second course in topology)? Our answers to this have guided the choice of material, which includes: under­ standing the relation between homology and integration, first on plane domains, later on Riemann surfaces and in higher dimensions; wind­ ing numbers and degrees of mappings, fixed-point theorems; appli­ cations such as the Jordan curve theorem, invariance of domain; in­ dices of vector fields and Euler characteristics; fundamental groups

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Review :

W. Fulton

Algebraic Topology

A First Course

"Fulton has done genuine service for the mathematical community by writing a text on algebraic topology which is genuinely different from the existing texts. Each time a text such as this is published we more truly have a real choice when we pick a book for a course or for self-study. The author, who is an expert in algebraic geometry, has given us his own personal idiosyncratic vision of how the subject should be developed."AMERICAN MATHEMATICAL MONTHLY

W. Fulton

Algebraic Topology

A First Course

"Fulton has done genuine service for the mathematical community by writing a text on algebraic topology which is genuinely different from the existing texts. Each time a text such as this is published we more truly have a real choice when we pick a book for a course or for self-study. The author, who is an expert in algebraic geometry, has given us his own personal idiosyncratic vision of how the subject should be developed."???AMERICAN MATHEMATICAL MONTHLY

W. Fulton

Algebraic Topology

A First Course

"Fulton has done genuine service for the mathematical community by writing a text on algebraic topology which is genuinely different from the existing texts. Each time a text such as this is published we more truly have a real choice when we pick a book for a course or for self-study. The author, who is an expert in algebraic geometry, has given us his own personal idiosyncratic vision of how the subject should be developed."a "AMERICAN MATHEMATICAL MONTHLY

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## 1.Algebraic Topology

Edité par Springer New York 1995-07-27, New York, NY (1995)
ISBN 10 : 0387943277 ISBN 13 : 9780387943275
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Description du livre Springer New York 1995-07-27, New York, NY, 1995. paperback. État : New. N° de réf. du libraire 9780387943275

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## 2.ALGEBRAIC TOPOLOGY: A FIRST COURSE

ISBN 10 : 0387943277 ISBN 13 : 9780387943275
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Description du livre État : Brand New. PAPERBACK,Book Condition New, International Edition. We Do not Ship APO FPO AND PO BOX. Cover Image & ISBN may be different from US edition but contents as US Edition. Printing in English language.NO CD AND ACCESS CODE. Quick delivery by USPS/UPS/DHL/FEDEX/ARAMEX ,Customer satisfaction guaranteed. We may ship the books from Asian regions for inventory purpose. N° de réf. du libraire ABE#STR*9575

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## 3.Algebraic Topology

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Description du livre État : Brand New. Brand New Paperback International Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. N° de réf. du libraire AIND-8293

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## 4.Algebraic Topology

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Description du livre État : New. New. International edition. Different ISBN and Cover image but contents are same as US edition. Perfect condition. Customer satisfaction our priority. N° de réf. du libraire ABE-FEB-139167

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## 5.Algebraic Topology

ISBN 10 : 0387943277 ISBN 13 : 9780387943275
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Description du livre État : Brand New. New. SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Customer Satisfaction guaranteed!!. N° de réf. du libraire SHUB139167

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## 6.Algebraic Topology

ISBN 10 : 0387943277 ISBN 13 : 9780387943275
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Description du livre État : New. Brand New Paperback International Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. N° de réf. du libraire AUSBNEW-8293

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## 7.Algebraic Topology

ISBN 10 : 0387943277 ISBN 13 : 9780387943275
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Description du livre État : Brand New. New, SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Excellent Customer Service. N° de réf. du libraire ABEUSA-139167

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## 8.Algebraic Topology: A First Course (Paperback)

Edité par Springer-Verlag New York Inc., United States (1997)
ISBN 10 : 0387943277 ISBN 13 : 9780387943275
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Description du livre Springer-Verlag New York Inc., United States, 1997. Paperback. État : New. 1st ed. 1995. Corr. 2nd printing 1997. Language: English . Brand New Book. To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re- lations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ- ential topology, etc.), we concentrate our attention on concrete prob- lems in low dimensions, introducing only as much algebraic machin- ery as necessary for the problems we meet. This makes it possible to see a wider variety of important features of the subject than is usual in a beginning text. The book is designed for students of mathematics or science who are not aiming to become practicing algebraic topol- ogists-without, we hope, discouraging budding topologists. We also feel that this approach is in better harmony with the historical devel- opment of the subject. What would we like a student to know after a first course in to- pology (assuming we reject the answer: half of what one would like the student to know after a second course in topology)? Our answers to this have guided the choice of material, which includes: under- standing the relation between homology and integration, first on plane domains, later on Riemann surfaces and in higher dimensions; wind- ing numbers and degrees of mappings, fixed-point theorems; appli- cations such as the Jordan curve theorem, invariance of domain; in- dices of vector fields and Euler characteristics; fundamental groups. N° de réf. du libraire AAU9780387943275

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## 9.Algebraic Topology: A First Course (Paperback)

Edité par Springer-Verlag New York Inc., United States (1997)
ISBN 10 : 0387943277 ISBN 13 : 9780387943275
Neuf(s) Paperback Quantité : 1
Vendeur
The Book Depository
(London, Royaume-Uni)
Evaluation vendeur

Description du livre Springer-Verlag New York Inc., United States, 1997. Paperback. État : New. 1st ed. 1995. Corr. 2nd printing 1997. Language: English . Brand New Book. To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re- lations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ- ential topology, etc.), we concentrate our attention on concrete prob- lems in low dimensions, introducing only as much algebraic machin- ery as necessary for the problems we meet. This makes it possible to see a wider variety of important features of the subject than is usual in a beginning text. The book is designed for students of mathematics or science who are not aiming to become practicing algebraic topol- ogists-without, we hope, discouraging budding topologists. We also feel that this approach is in better harmony with the historical devel- opment of the subject. What would we like a student to know after a first course in to- pology (assuming we reject the answer: half of what one would like the student to know after a second course in topology)? Our answers to this have guided the choice of material, which includes: under- standing the relation between homology and integration, first on plane domains, later on Riemann surfaces and in higher dimensions; wind- ing numbers and degrees of mappings, fixed-point theorems; appli- cations such as the Jordan curve theorem, invariance of domain; in- dices of vector fields and Euler characteristics; fundamental groups. N° de réf. du libraire AAU9780387943275

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## 10.Algebraic Topology

Edité par Springer (1995)
ISBN 10 : 0387943277 ISBN 13 : 9780387943275
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Description du livre Springer, 1995. Paperback. État : New. This item is printed on demand. N° de réf. du libraire DADAX0387943277

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