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Differential Forms and Connections
Language: en
Pages: 288
Authors: R. W. R. Darling
Categories: Mathematics
Type: BOOK - Published: 1994-09-22 - Publisher: Cambridge University Press

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Introducing the tools of modern differential geometry--exterior calculus, manifolds, vector bundles, connections--this textbook covers both classical surface th
Differential Geometry
Language: en
Pages: 358
Authors: Loring W. Tu
Categories: Mathematics
Type: BOOK - Published: 2017-06-01 - Publisher: Springer

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This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical developmen
Geometry of Differential Forms
Language: en
Pages: 356
Authors: Shigeyuki Morita
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: American Mathematical Soc.

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Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold
Differential Forms in Algebraic Topology
Language: en
Pages: 319
Authors: Raoul Bott
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and
Tensors, Differential Forms, and Variational Principles
Language: en
Pages: 402
Authors: David Lovelock
Categories: Mathematics
Type: BOOK - Published: 2012-04-20 - Publisher: Courier Corporation

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Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calcu