Differential Geometry of Manifolds | Mathematics

Product Description

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 exercises and focusing on applications including the Hamiltonian formulations of mechanics electromagnetism string theory. The Second Edition of this successful textbook offers several notable points of …