Algebraic Topology : A First Course : (Reihe: GTM - Graduate Texts in Mathematics, Band 153)
Fulton, William
ISBN 10: 0387943277 ISBN 13: 9780387943275
Verlag: Springer Verlag, New York, 1997
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Folierung des Einbandes wirft vom Rücken her kleinere Fältchen (Herstellungsmangel). Ein Teil der Seiten vom kopfseitigen Buchschnitt her etwas feuchtewellig. Ansonsten sauberes und wohlerhaltenes Exemplar. Corrected Second Printing 1997. Broschierter Einband mit Fadenbindung. 448 Seiten. 652 Gramm. 24x16cm. Englisch. XVIII, 430 Seiten. Mit 137 Illustrationen (graphischen Darstellungen). Bestandsnummer des Verkäufers 69701
Inhaltsangabe:
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
Críticas: 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 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. FultonAlgebraic 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
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Titel: Algebraic Topology : A First Course : (Reihe...
Verlag: Springer Verlag, New York
Erscheinungsdatum: 1997
Einband: Softcover
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Algebraic Topology: A First Course (Graduate Texts in Mathematics)
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Algebraic Topology
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Springer New York, Springer New York Jul 1995, 1995
ISBN 10: 0387943277
ISBN 13: 9780387943275
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Taschenbuch. Zustand: Neu. Neuware -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 groupsSpringer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 452 pp. Englisch. Artikel-Nr. 9780387943275
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Algebraic Topology : A First Course
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Springer New York, Springer US, 1995
ISBN 10: 0387943277
ISBN 13: 9780387943275
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9780387943275
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