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. 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.

Zusammenfassung

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
Reihe:	Universitext
Inhalt:	xi 250 S.
ISBN-13:	9780387954776
ISBN-10:	0387954775
Sprache:	Englisch
Herstellernummer:	10874516
Einband:	Gebunden
Autor:	Lang, Serge
Hersteller:	Humana Springer Springer US, New York, N.Y. Universitext
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