Differential Geometry of Manifolds

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 toward applications particularly in physics. The author takes a practical approach containing extensive exer...See More