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Englisch
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Beschreibung
This book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. A certain number of concepts are essential for all three of these areas, and are so basic and elementary, that it is worthwhile to collect them together so that more advanced expositions can be given without having to start from the very beginning. The concepts are concerned with the general basic theory of differential manifolds. As a result, this book can be viewed as a prerequisite to Fundamentals of Differential Geometry. Since this book is intended as a text to follow advanced calculus, manifolds are assumed finite dimensional. In the new edition of this book, the author has made numerous corrections to the text and he has added a chapter on applications of Stokes' Theorem.
This book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. A certain number of concepts are essential for all three of these areas, and are so basic and elementary, that it is worthwhile to collect them together so that more advanced expositions can be given without having to start from the very beginning. The concepts are concerned with the general basic theory of differential manifolds. As a result, this book can be viewed as a prerequisite to Fundamentals of Differential Geometry. Since this book is intended as a text to follow advanced calculus, manifolds are assumed finite dimensional. In the new edition of this book, the author has made numerous corrections to the text and he has added a chapter on applications of Stokes' Theorem.
Zusammenfassung
This book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. The author's book, Fundamentals of Differential Geometry, can be viewed as a continuation of the present book. Since this book is intended as a text to follow advanced calculus, manifolds are assumed finite dimensional. The author has made numerous corrections to this new edition, and he has also added a chapter on applications of Stokes' Theorem.
Inhaltsverzeichnis
Differential Calculus.- Manifolds.- Vector Bundles.- Vector Fields and Differential Equations.- Operations on Vector Fields and Differential Forms.- The Theorem of Frobenius.- Metrics.- Integration of Differential Forms.- Stokes' Theorem.- Applications of Stokes' Theorem.
Details
| Erscheinungsjahr: | 2002 |
|---|---|
| Fachbereich: | Topologie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xi
250 S. |
| ISBN-13: | 9780387954776 |
| ISBN-10: | 0387954775 |
| Sprache: | Englisch |
| Herstellernummer: | 10874516 |
| Einband: | Gebunden |
| Autor: | Lang, Serge |
| Hersteller: |
Springer New York
Springer US, New York, N.Y. |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 20 mm |
| Von/Mit: | Serge Lang |
| Erscheinungsdatum: | 01.10.2002 |
| Gewicht: | 0,571 kg |
Zusammenfassung
This book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. The author's book, Fundamentals of Differential Geometry, can be viewed as a continuation of the present book. Since this book is intended as a text to follow advanced calculus, manifolds are assumed finite dimensional. The author has made numerous corrections to this new edition, and he has also added a chapter on applications of Stokes' Theorem.
Inhaltsverzeichnis
Differential Calculus.- Manifolds.- Vector Bundles.- Vector Fields and Differential Equations.- Operations on Vector Fields and Differential Forms.- The Theorem of Frobenius.- Metrics.- Integration of Differential Forms.- Stokes' Theorem.- Applications of Stokes' Theorem.
Details
| Erscheinungsjahr: | 2002 |
|---|---|
| Fachbereich: | Topologie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xi
250 S. |
| ISBN-13: | 9780387954776 |
| ISBN-10: | 0387954775 |
| Sprache: | Englisch |
| Herstellernummer: | 10874516 |
| Einband: | Gebunden |
| Autor: | Lang, Serge |
| Hersteller: |
Springer New York
Springer US, New York, N.Y. |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 20 mm |
| Von/Mit: | Serge Lang |
| Erscheinungsdatum: | 01.10.2002 |
| Gewicht: | 0,571 kg |
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