Introduction to Differentiable Manifolds - Serge Lang

Introduction to Differentiable Manifolds

(Autor)

Buch | Softcover
250 Seiten
2010 | Softcover reprint of the original 1st ed. 2002
Springer-Verlag New York Inc.
978-1-4419-3019-4 (ISBN)
64,19 inkl. MwSt
This book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. 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.
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.

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.

Erscheint lt. Verlag 3.12.2010
Reihe/Serie Universitext
Zusatzinfo XI, 250 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4419-3019-1 / 1441930191
ISBN-13 978-1-4419-3019-4 / 9781441930194
Zustand Neuware
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