In this post, we will see the book Differential Geometry by A. V. Pogorelov.
About the book
The lectures of the author on differential geometry in the Physics-Mathematics Department of the Kharkov State University form the basic material of the present book. The author’s aim is to present a rigorous discussion of the fundamentals of differential geometry and of the methods of investigation which are characteristic of this branch of mathematics, without disturbing well- established tradition in the process. A large amount of factual material concerning differential geometry has been relegated to exercises and problems, the solution of which ought to be considered obligatory for serious students of geometry.
Translated from, the First Russian Edition by Leo F. Boron
All credits to original uploaders.
You can get the book here.
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