ENGLISH

Differential geometry of manifolds

By Lovett , Stephen T.

Book information

Publisher
CRC Press
Year
2020
ISBN
9780367180461, 0367180464
Language
english
Format
PDF
Filesize
11 MB (11614837 bytes)
Series
Textbooks in mathematics (Boca Raton Fla.)
Edition
Second edition
Pages
436\451
Time added
2020-02-05 21:52:32
DifferentialManifolds (Mathematics);Geometry

Description

"The Second Edition presents the extension of differential geometry from curves and surfaces to manifolds in general. The book 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 while keeping a view toward applications, particularly in physics"--  Read more... Analysis of multivariable functions -- Variable frames -- Differentiable manifolds -- Multilinear algebra -- Analysis on manifolds -- Introduction to Riemannian geometry -- Applications of manifolds to physics -- Point set topology -- Calculus of variations -- Further topics in multilinear algebra.

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