A Course in Metric Geometry is popular PDF and ePub book, written by Dmitri Burago in 2001, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, A Course in Metric Geometry can be Read Online from any device for your convenience.
A Course in Metric Geometry Book PDF Summary
"Metric geometry" is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Caratheodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces).
Detail Book of A Course in Metric Geometry PDF
- Author : Dmitri Burago
- Release : 01 July 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821821299
- Genre : Mathematics
- Total Page : 434 pages
- Language : English
- PDF File Size : 20,8 Mb
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