|Author:||Stephen T. Lovett|
|Book title:||Differential Geometry of Manifolds (Textbooks in Mathematics)|
|Other Formats:||mbr lit azw docx|
|Publisher:||A K Peters/CRC Press; 1 edition (June 11, 2010)|
|Size PDF version:||1792 kb|
|Size ePub version:||1470 kb|
|Size fb2 version:||1689 kb|
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From the coauthor of Differential Geometry of Curves and Surfaces, this companion book presents the extension of differential geometry from curves and surfaces to manifolds in general. It provides a broad introduction to the field of differentiable and Riemannian manifolds, tying together the classical and modern formulations. The three appendices provide background information on point set topology, calculus of variations, and multilinear algebra―topics that may not have been covered in the prerequisite courses of multivariable calculus and linear algebra.
Differential Geometry of Manifolds takes a practical approach, containing extensive exercises and focusing on applications of differential geometry in physics, including the Hamiltonian formulation of dynamics (with a view toward symplectic manifolds), the tensorial formulation of electromagnetism, some string theory, and some fundamental concepts in general relativity.