Fundamentals of Geometry
by Oleg A. Belyaev
Publisher: Moscow State University 2007
Number of pages: 256
A continually updated free online book devoted to rigorous axiomatic exposition of the basic concepts of geometry. Self-contained comprehensive treatment with detailed proofs should make this book both accessible and useful to a wide audience of geometry lovers - from high school and college students to university teachers and other geometry professionals.
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by S. E. Payne - University of Colorado Denver
The present book grew out of notes written for a course by the same name taught by the author during in 2005. Only some basic abstract algebra, linear algebra, and mathematical maturity are the prerequisites for reading this book.
by Sigurdur Helgason - Birkhauser Boston
The Radon transform is an important topic in integral geometry which deals with the problem of expressing a function on a manifold in terms of its integrals over certain submanifolds. Solutions to such problems have a wide range of applications.
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