By Takashi Sakai
This quantity is an English translation of Sakai's textbook on Riemannian geometry which used to be initially written in jap and released in 1992. The author's reason at the back of the unique e-book used to be to supply to complicated undergraduate and graduate scholars an advent to trendy Riemannian geometry which could additionally function a reference. The ebook starts off with a proof of the elemental inspiration of Riemannian geometry. exact emphasis is put on understandability and clarity, to steer scholars who're new to this zone. the remainder chapters take care of quite a few themes in Riemannian geometry, with the main target on comparability tools and their functions. the writer has faithfully translated the japanese version except for appendix 6-on the collapsing of Riemannian manifolds and Gromov's convergence theorem - which has been significantly revised and accelerated, together with the addition of some reviews on extra advancements and corrections of small error.
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