Differential Geometry of Manifolds

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Sprache: Englisch

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Beschreibung

The author presents the extension of differential geometry from curves and surfaces to manifolds in general. It provides a broad introduction to the field of differentiable and Riemannian manifolds, tying together classical and modern formulations. The goal is to introduce manifolds in a both streamlined and mathematically rigorous way.

Über den Autor

Stephen Lovett is a Professor of Mathematics at Wheaton College in Illinois. He has also taught at Eastern Nazerene College. He holds a PhD from Northeastern University. He also authored three well-received texts with CRC Press, including the companion volume, Differential Geometry of Curves and Surfaces, Second Edition, with Tom Banchoff and Abstract Algebra: Structures and Applications.

Inhaltsverzeichnis

Analysis of Multivariable Functions

Variable Frames

Differentiable Manifolds

Multilinear Algebra

Analysis of Manifolds

Introduction to Riemannian Geometry

Applications of Manifolds to Physics

A: Point Set Topology

B: Calculus of Variations

C: Further Topics in Multilinear Algebra

Details

Erscheinungsjahr:	2023
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Einband - flex.(Paperback)
ISBN-13:	9781032474908
ISBN-10:	1032474904
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Lovett, Stephen
Auflage:	2nd edition
Hersteller:	CRC Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	234 x 193 x 29 mm
Von/Mit:	Stephen Lovett
Erscheinungsdatum:	21.01.2023
Gewicht:	0,453 kg