By Shiing-Shen Chern;etc.;W.H. Chen;K.S. Lam
This publication is a translation of an authoritative introductory textual content according to a lecture sequence added via the well known differential geometer, Professor S S Chern in Beijing collage in 1980. the unique chinese language textual content, authored by way of Professor Chern and Professor Wei-Huan Chen, was once a distinct contribution to the math literature, combining simplicity and economic system of technique with intensity of contents. the current translation is geared toward a large viewers, together with (but now not constrained to) complicated undergraduate and graduate scholars in arithmetic, in addition to physicists attracted to the varied purposes of differential geometry to physics. as well as a radical therapy of the basics of manifold thought, external algebra, the outside calculus, connections on fiber bundles, Riemannian geometry, Lie teams and relocating frames, and intricate manifolds (with a succinct advent to the speculation of Chern classes), and an appendix at the courting among differential geometry and theoretical physics, this ebook incorporates a new bankruptcy on Finsler geometry and a brand new appendix at the historical past and up to date advancements of differential geometry, the latter ready particularly for this version by means of Professor Chern to deliver the textual content into views.
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