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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.
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
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
Foreword * Acknowledgments * 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: 2010
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Universitext
Inhalt: xi
250 S.
ISBN-13: 9781441930194
ISBN-10: 1441930191
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Lang, Serge
Auflage: Softcover reprint of the original 1st edition 2002
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: 235 x 155 x 15 mm
Von/Mit: Serge Lang
Erscheinungsdatum: 03.12.2010
Gewicht: 0,411 kg
Artikel-ID: 107252938