Science/Engineering A Course in Metric Geometry (0821821296)

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Dmitri Burago; Yuri Burago; and Sergei Ivanov, "A Course in Metric Geometry"

"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). The authors tend to work with "easy-to-touch" mathematical objects using "easy-to-visualize" methods. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of exposition.

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	Study Modern Geometry - Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, B.A. Dubrovin, A.T. Fomenko, S.P. Novikov, "Modern Geometry - Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields" Springer \| ISBN / ASIN: 0387976639 \| 1991 \| 468 pages \| DJVU \| 5.9 MBThis is the ...
	Science/Engineering Metric Spaces Mícheál Ó Searcóid, "Metric Spaces" Springer; 1 edition (August 10, 2006) \| ISBN: 1846283698 \| 304 pages \| PDF \| 1,7 Mb Mirror -> Mirror:
	Study Metric Structures in Differential Geometry Gerard Walschap "Metric Structures in Differential Geometry"Springer \| 2004-03-18 \| ISBN: 038720430X \| 232 pages \| DJVU \| 2 MBThis text is an introduction to the theory of differentiable manifolds and fiber bundles. The only requisites are ...
	Science/Engineering Metric Foliations and Curvature Detlef Gromoll, Gerard Walschap, "Metric Foliations and Curvature" Birkhäuser Basel \| 2009 \| ISBN: 3764387149 \| 174 pages \| PDF \| 1,3 MB In the past three or four decades, there has been increasing realization that metric foliations pl ...
	Science/Engineering Metric Handbook, Third Edition Metric Handbook, Third EditionPublisher: Architectural Press \| ISBN: 0750652810 \| edition 2008 \| PDF \| 856 pages \| 49,3 mb Originally devised as a guide for converting from imperial to metric measurements, 'The Metric Handbook' has since be ...
	Encyclopedias The SI Metric System of Units and SPE METRIC STANDARD The SI Metric System of Units and SPE METRIC STANDARDSociety of Petroleum Engineers \| 1984 \| ISBN: 9995538814 \| 42 pages \| PDF \| 5 Mb These standards include most of the units used commonly by SPE members. The subcommittee is aware that som ...

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