2nd Edition

Differential Geometry of Manifolds

By Stephen Lovett Copyright 2020
450 Pages 73 B/W Illustrations
by Chapman & Hall

450 Pages 73 B/W Illustrations
by Chapman & Hall

367 Pages 73 B/W Illustrations
by Chapman & Hall

Differential Geometry of Manifolds, 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. It introduces manifolds in a both streamlined and mathematically rigorous way while keeping a view... Read more

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

Biography

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.