Lovett, Stephen

Differential Geometry of Manifolds Stephen Lovett - 2nd ed. - Boca Raton : CRC Press, 2020 - xiii, 436 pages : illustrations ; 25 cm.

Includes bibliographical references and indexes.

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

"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"-- Provided by publisher

9781032474908 9780367180461


Geometry--Differential
Manifolds (Mathematics)

516.36 / LOD