Differential Geometry of Manifolds av Stephen (Wheaton College Illinois USA) Lovett

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<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><br/><br/><P>The author takes a practical approach, containing extensive exercises and focusing on applications, including the Hamiltonian formulations of mechanics, electromagnetism, string theory. </P><br/><br/><P>The Second Edition of this successful textbook offers several notable points of revision.</P><B><br/><br/><P>New to the Second Edition:</P><br/><br/><UL></B><br/><br/><P><br/><br/><LI>New problems have been added and the level of challenge has been changed to the exercises</LI><br/><br/><P></P><br/><br/><P><br