Geometry of Differential Forms by Shigeyuki Morita

Geometry of Differential Forms Shigeyuki Morita ebook
Publisher: American Mathematical Society
Format: djvu
Page: 171
ISBN: 0821810456, 9780821810453

It took me quite a while to find a good explanation of differential forms & I Spivak has a nice quip in Differential Geometry, Vol. Discrete Differential Forms for Computational Modeling Mathieu Desbrun Eva Kanso Yiying Tongy Applied Geometry Lab Caltechz 1Motivation The emergence of computers as view format. Applying Algebraic Topology , Geometry and Differential Geometry in nonabelian gauge in High Energy, Nuclear, Particle Physics is being discussed at Physics Forums. N -plectic geometry is a generalization of symplectic geometry to higher category theory. Let X be a smooth manifold, ω ∈ Ω n + 1 ( X ) a differential form. In Calculus is being discussed at Physics Forums. Any recommendations for a textbook that apply these ideas to gauge theory ? One of the main issues in noncommutative differential geometry is how to define differential forms and vector fields. Given by contraction of vectors with forms. The subtleties are introcuded in matrix geometry ready for more general algebras. I have needed to learn differential geometry for a long time. He indeed showed how all other efforts in geometry fit into his scheme. In the process, he gave the differential form of Euclid's postulates in spaces of any number of dimensions. I 've been reading about Homotopy , homology and abstract lie groups and diff.forms and I would like to see those beautiful ideas applied on a Nonabelian Gauge Theory . This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry.