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Differential Geometry The Mathematical Works of J. H. C. Whitehead

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Full Title

Differential Geometry The Mathematical Works of J. H. C. Whitehead

Author(s)

Author

Edition
ISBN

9781483164731, 9780080098692

Publisher

Pergamon

Format

PDF and EPUB

Description

The Mathematical Works of J. H. C. Whitehead, Volume 1: Differential Geometry contains all of Whitehead’s published work on differential geometry, along with some papers on algebras. Most of these were written in the period 1929-1937, but a few later articles are included. The book begins with a list of Whitehead’s works, in chronological order of writing as well as a biographical note by M. H. A. Newman and Barbara Whitehead, and a mathematical appreciation by John Milnor. This is followed by separate chapters on topics such as linear connections; a method of obtaining normal representations for a projective connection; representation of projective spaces; convex regions in the geometry of paths; locally homogeneous spaces in differential geometry; and the decomposition of an infinitesimal group. Also included are chapters on locally homogeneous spaces in differential geometry; Maurer’s equations; linear associative algebras; an expression of Hopf’s invariant as an integral; and normalizators of transformation groups.