Stephen Lovett

Differential Geometry of Manifolds (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 367
• Erscheinungstermin: 16. Dezember 2019
• Englisch
• ISBN-13: 9780429602306
• Artikelnr.: 58417277

Autorenporträt

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.

Inhaltsangabe

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