Introduction to Differentiable Manifolds

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Sprache: 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.

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:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Universitext
Inhalt:	xi 250 S.
ISBN-13:	9780387954776
ISBN-10:	0387954775
Sprache:	Englisch
Herstellernummer:	10874516
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Lang, Serge
Hersteller:	Springer New York Springer US, New York, N.Y. Universitext
Maße:	241 x 160 x 20 mm
Von/Mit:	Serge Lang
Erscheinungsdatum:	01.10.2002
Gewicht:	0,571 kg

Artikel-ID: 103035138

Zusammenfassung

Inhaltsverzeichnis

Details

Erscheinungsjahr:	2002
Fachbereich:	Topologie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Universitext
Inhalt:	xi 250 S.
ISBN-13:	9780387954776
ISBN-10:	0387954775
Sprache:	Englisch
Herstellernummer:	10874516
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Lang, Serge
Hersteller:	Springer New York Springer US, New York, N.Y. Universitext
Maße:	241 x 160 x 20 mm
Von/Mit:	Serge Lang
Erscheinungsdatum:	01.10.2002
Gewicht:	0,571 kg