Differential geometry of manifolds / Stephen Lovett.

Format:

Book

Author/Creator:

Lovett, Stephen (Stephen T.)

Language:

English

Subjects (All):

Manifolds (Mathematics).

Geometry, Differential.

Physical Description:

xiii, 421 pages : illustrations ; 2524 cm

Place of Publication:

Natick, Mass. : A.K. Peters, [2010]

Summary:

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.

Notes:

Includes bibliographical references and index.

ISBN:

9781568814575

1568814577

OCLC:

473119178

Publisher Number:

99940791215