By Shiing-Shen Chern
It is a translation of an introductory textual content in keeping with a lecture sequence added via the popular differential geometer, Professor S.S. Chern in Beijing collage in 1980. the unique chinese language textual content, authored through Professor Chern and Professor Wei-Huan Chen, sought to mix simplicity and economic system of procedure with intensity of contents. the current translation is aimed toward a large viewers, together with (but no longer constrained to) complicated undergraduate and graduate scholars in arithmetic, in addition to physicists drawn to the varied purposes of differential geometry to physics. as well as an intensive therapy of the basics of manifold thought, external algebra, the outside calculus, connections on fibre bundles, Riemannian geometry, Lie teams and relocating frames, and intricate manifolds (with a succinct advent to the idea of Chern classes), and an appendix at the dating among differential geometry and theoretical physics, this e-book features a new bankruptcy on Finsler geometry and a brand new appendix at the heritage and up to date advancements of differential geometry, the latter ready in particular for this variation by way of Professor Chern to deliver the textual content into viewpoint.
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