Differential Geometry of Manifolds

<p><strong><em>Differential Geometry of Manifolds Second Edition</em></strong> 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. </p><p>The author takes a practical approach containing extensive exercises and focusing on applications including the Hamiltonian formulations of mechanics electromagnetism string theory. </p><p>The Second Edition of this successful textbook offers several notable points of revision.</p><p>New to the Second Edition:</p><ul> <p> </p> <li>New problems have been added and the level of challenge has been changed to the exercises</li> <p> </p> <li>Each section corresponds to a 60-minute lecture period making it more user-friendly for lecturers</li> <p> </p> <li>Includes new sections which provide more comprehensive coverage of topics</li> <p> </p> <li>Features a new chapter on Multilinear Algebra</li> </ul>