Zur Startseite gehen
0,00 €*
Cover: 9780387901480 | Differential Topology | Morris W. Hirsch | Buch | Englisch | 1997
Bild: 9780387901480 | Differential Topology | Morris W. Hirsch | Buch | Englisch | 1997
Cover: 9780387901480 | Differential Topology | Morris W. Hirsch | Buch | Englisch | 1997
Bild: 9780387901480 | Differential Topology | Morris W. Hirsch | Buch | Englisch | 1997
Dekorationsartikel gehören nicht zum Leistungsumfang.
Differential Topology
Buch von Morris W. Hirsch
Sprache: Englisch

60,95 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 2-3 Wochen

Kategorien:
Beschreibung
This book presents some of the basic topological ideas used in studying differentiable manifolds and maps. Mathematical prerequisites have been kept to a minimum; the standard course in analysis and general topology is adequate preparation. An appendix briefly summarizes some of the back­ ground material. In order to emphasize the geometrical and intuitive aspects of differen­ tial topology, I have avoided the use of algebraic topology, except in a few isolated places that can easily be skipped. For the same reason I make no use of differential forms or tensors. In my view, advanced algebraic techniques like homology theory are better understood after one has seen several examples of how the raw material of geometry and analysis is distilled down to numerical invariants, such as those developed in this book: the degree of a map, the Euler number of a vector bundle, the genus of a surface, the cobordism class of a manifold, and so forth. With these as motivating examples, the use of homology and homotopy theory in topology should seem quite natural. There are hundreds of exercises, ranging in difficulty from the routine to the unsolved. While these provide examples and further developments of the theory, they are only rarely relied on in the proofs of theorems.
This book presents some of the basic topological ideas used in studying differentiable manifolds and maps. Mathematical prerequisites have been kept to a minimum; the standard course in analysis and general topology is adequate preparation. An appendix briefly summarizes some of the back­ ground material. In order to emphasize the geometrical and intuitive aspects of differen­ tial topology, I have avoided the use of algebraic topology, except in a few isolated places that can easily be skipped. For the same reason I make no use of differential forms or tensors. In my view, advanced algebraic techniques like homology theory are better understood after one has seen several examples of how the raw material of geometry and analysis is distilled down to numerical invariants, such as those developed in this book: the degree of a map, the Euler number of a vector bundle, the genus of a surface, the cobordism class of a manifold, and so forth. With these as motivating examples, the use of homology and homotopy theory in topology should seem quite natural. There are hundreds of exercises, ranging in difficulty from the routine to the unsolved. While these provide examples and further developments of the theory, they are only rarely relied on in the proofs of theorems.
Inhaltsverzeichnis
1 : Manifolds and Maps.- 0. Submanifolds of ?n+k.- 1. Differential Structures.- 2. Differentiable Maps and the Tangent Bundle.- 3. Embeddings and Immersions.- 4. Manifolds with Boundary.- 5. A Convention.- 2 : Function Spaces.- 1. The Weak and Strong Topologies on Cr(M, N).- 2. Approximations.- 3. Approximations on ?-Manifolds and Manifold Pairs.- 4. Jets and the Baire Property.- 5. Analytic Approximations.- 3 : Transversality.- 1. The Morse-Sard Theorem.- 2. Transversality.- 4 : Vector Bundles and Tubular Neighborhoods.- 1. Vector Bundles.- 2. Constructions with Vector Bundles.- 3. The Classification of Vector Bundles.- 4. Oriented Vector Bundles.- 5. Tubular Neighborhoods.- 6. Collars and Tubular Neighborhoods of Neat Submanifolds.- 7. Analytic Differential Structures.- 5 : Degrees, Intersection Numbers, and the Euler Characteristic.- 1. Degrees of Maps.- 2. Intersection Numbers and the Euler Characteristic.- 3. Historical Remarks.- 6 : Morse Theory.- 1. Morse Functions.- 2. Differential Equations and Regular Level Surfaces.- 3. Passing Critical Levels and Attaching Cells.- 4. CW-Complexes.- 7 : Cobordism.- 1. Cobordism and Transversality.- 2. The Thorn Homomorphism.- 8 : Isotopy.- 1. Extending Isotopies.- 2. Gluing Manifolds Together.- 3. Isotopies of Disks.- 9 : Surfaces.- 1. Models of Surfaces.- 2. Characterization of the Disk.- 3. The Classification of Compact Surfaces.
Details
Erscheinungsjahr: 1976
Fachbereich: Topologie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 240
Reihe: Graduate Texts in Mathematics
Inhalt: x
222 S.
ISBN-13: 9780387901480
ISBN-10: 0387901485
Sprache: Englisch
Herstellernummer: 10189262
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Hirsch, Morris W.
Auflage: 1976
Hersteller: Springer US
Springer New York
Graduate Texts in Mathematics
Maße: 241 x 160 x 19 mm
Von/Mit: Morris W. Hirsch
Erscheinungsdatum: 01.07.1976
Gewicht: 0,53 kg
preigu-id: 102384009
Inhaltsverzeichnis
1 : Manifolds and Maps.- 0. Submanifolds of ?n+k.- 1. Differential Structures.- 2. Differentiable Maps and the Tangent Bundle.- 3. Embeddings and Immersions.- 4. Manifolds with Boundary.- 5. A Convention.- 2 : Function Spaces.- 1. The Weak and Strong Topologies on Cr(M, N).- 2. Approximations.- 3. Approximations on ?-Manifolds and Manifold Pairs.- 4. Jets and the Baire Property.- 5. Analytic Approximations.- 3 : Transversality.- 1. The Morse-Sard Theorem.- 2. Transversality.- 4 : Vector Bundles and Tubular Neighborhoods.- 1. Vector Bundles.- 2. Constructions with Vector Bundles.- 3. The Classification of Vector Bundles.- 4. Oriented Vector Bundles.- 5. Tubular Neighborhoods.- 6. Collars and Tubular Neighborhoods of Neat Submanifolds.- 7. Analytic Differential Structures.- 5 : Degrees, Intersection Numbers, and the Euler Characteristic.- 1. Degrees of Maps.- 2. Intersection Numbers and the Euler Characteristic.- 3. Historical Remarks.- 6 : Morse Theory.- 1. Morse Functions.- 2. Differential Equations and Regular Level Surfaces.- 3. Passing Critical Levels and Attaching Cells.- 4. CW-Complexes.- 7 : Cobordism.- 1. Cobordism and Transversality.- 2. The Thorn Homomorphism.- 8 : Isotopy.- 1. Extending Isotopies.- 2. Gluing Manifolds Together.- 3. Isotopies of Disks.- 9 : Surfaces.- 1. Models of Surfaces.- 2. Characterization of the Disk.- 3. The Classification of Compact Surfaces.
Details
Erscheinungsjahr: 1976
Fachbereich: Topologie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 240
Reihe: Graduate Texts in Mathematics
Inhalt: x
222 S.
ISBN-13: 9780387901480
ISBN-10: 0387901485
Sprache: Englisch
Herstellernummer: 10189262
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Hirsch, Morris W.
Auflage: 1976
Hersteller: Springer US
Springer New York
Graduate Texts in Mathematics
Maße: 241 x 160 x 19 mm
Von/Mit: Morris W. Hirsch
Erscheinungsdatum: 01.07.1976
Gewicht: 0,53 kg
preigu-id: 102384009
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Taschenbuch
Cover: 9780521498425 | Complex Algebraic Surfaces | Arnaud Beauville (u. a.) | Taschenbuch
Complex Algebraic Surfaces
EAN: 9780521498425
Sprache: Englisch
Von/Mit: Arnaud Beauville (u. a.)

57,40 €*

Lieferzeit 4-7 Werktage

Taschenbuch
Cover: 9780521497701 | A First Course in Optimization Theory | Rangarajan K. Sundaram | Buch
A First Course in Optimization Theory
EAN: 9780521497701
Sprache: Englisch
Von/Mit: Rangarajan K. Sundaram

58,80 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9783540783787 | Arithmetical Investigations | Shai M. J. Haran | Taschenbuch | xii
Arithmetical Investigations
Representation Theory, Orthogonal Polynomials, and Quantum Interpolations
EAN: 9783540783787
Sprache: Englisch
Von/Mit: Shai M. J. Haran

34,95 €*

Lieferzeit 4-7 Werktage

Taschenbuch
Cover: 9780387966403 | A Course in Constructive Algebra | Ray Mines (u. a.) | Taschenbuch
A Course in Constructive Algebra
EAN: 9780387966403
Sprache: Englisch
Von/Mit: Ray Mines (u. a.)

96,35 €*

Lieferzeit 4-7 Werktage

Taschenbuch
Cover: 9783486577037 | Statistik-Aufgabensammlung | Horst Degen (u. a.) | Buch | Oldenbourg
Statistik-Aufgabensammlung mit ausführlichen Lösungen
Übungsbuch zur Statistik im wirtschaftswissenschaftlichen Grundstudium
EAN: 9783486577037
Sprache: Deutsch
Von/Mit: Peter Lorscheid (u. a.)

27,95 €*

Lieferzeit 4-7 Werktage

Buch
Cover: 9781305071742 | Algebra and Trigonometry | Saleem Watson (u. a.) | Buch | Englisch
Algebra and Trigonometry
EAN: 9781305071742
Sprache: Englisch
Von/Mit: James Stewart (u. a.)

115,95 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9783540632931 | The Red Book of Varieties and Schemes | David Mumford | Taschenbuch
The Red Book of Varieties and Schemes
Includes the Michigan Lectures (1974) on Curves and their Jacobians
EAN: 9783540632931
Sprache: Englisch
Von/Mit: David Mumford

62,95 €*

Lieferzeit 4-7 Werktage

Bundle
Cover: 9783403207023 | Freiarbeitsmaterialien Mathematik: Bruchrechnung | 5. und 6. Klasse
Freiarbeitsmaterialien Mathematik: Bruchrechnung
5. und 6. Klasse
EAN: 9783403207023
Sprache: Deutsch
Von/Mit: Jens Eggert
Maße: 298 x 212 x 7 mm

21,99 €*

Lieferzeit 1-2 Werktage

Taschenbuch
Cover: 9781439811924 | Introduction to High Performance Computing for Scientists and...
Introduction to High Performance Computing for Scientists and Engineers
EAN: 9781439811924
Sprache: Englisch
Von/Mit: Georg Hager (u. a.)

100,50 €*

Aktuell nicht verfügbar

Buch
Cover: 9780120887354 | Elementary Differential Geometry, Revised 2nd Edition | O'Neill | Buch
Elementary Differential Geometry, Revised 2nd Edition
EAN: 9780120887354
Sprache: Englisch
Von/Mit: Barrett O'Neill

99,95 €*

Lieferzeit 1-2 Wochen

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...