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Newest
Fundamentals of Physics and Chemistry of the Atmosphere
Additive and Cancellative Interacting Particle Systems (Lecture Notes in Mathematics) by David Griffeath (Repost)
PI and the AGM: A Study in Analytic Number Theory and Computational Complexity by Jonathan M. Borwein (Repost)
Advances in Complex Function Theory (Lecture Notes in Mathematics) by W. E. Kirwan (Repost)
Synthetic inorganic chemistry a course of laboratory and classroom study by Arthur Alphonzo Blanchard (Repost)
Invitation to Law and Society - An Introduction to the Study of Real Law
Matrix Mathematics - Theory, Facts, and Formulas, Second Edition
Mathematics Probability, Markov Chains, Queues, and Simulation - The Mathematical Basis of Performance Modeling
-Physics, Topology, Logic and Computation: A Rosetta Stone- by John C. Baez adn Mike Stay
-Quantum Physics for Scientists and Technologists- by Paul Sanghera (Repost)
Algebraic Aspects of Cryptography (Algorithms and Computation in Mathematics) by Neal Koblitz (Repost)
Mathematics Mathematical Foundations of Computer Science 2004 [Repost]
Mathematics Mathematical Logic for Computer Science (3rd edition)
Physics Democracy and Public Space: The Physical Sites of Democratic Performance
Spaces of Holomorphic Functions in the Unit Ball (Graduate Texts in Mathematics) by Kehe Zhu (Repost)
An Introduction to Ergodic Theory (Graduate Texts in Mathematics) by Peter Walters (Repost)
Statistical and Thermal Physics - With Computer Applications
Introduction to the Physics of the Earth's Interior (Cambridge Topics in Mineral Ph) by Jean Paul Poirier (Repost)
Mathematics Symmetry Theory in Molecular Physics with Mathematica: A new kind of tutorial book (Repost)
THE GNOMON WORKSHOP CREATING A 3D FIGURE STUDY BOOKWARE ISO-LZ0
Additive and Cancellative Interacting Particle Systems (Lecture Notes in Mathematics) by David Griffeath (Repost)
PI and the AGM: A Study in Analytic Number Theory and Computational Complexity by Jonathan M. Borwein (Repost)
Advances in Complex Function Theory (Lecture Notes in Mathematics) by W. E. Kirwan (Repost)
Synthetic inorganic chemistry a course of laboratory and classroom study by Arthur Alphonzo Blanchard (Repost)
Invitation to Law and Society - An Introduction to the Study of Real Law
Matrix Mathematics - Theory, Facts, and Formulas, Second Edition
Mathematics Probability, Markov Chains, Queues, and Simulation - The Mathematical Basis of Performance Modeling
-Physics, Topology, Logic and Computation: A Rosetta Stone- by John C. Baez adn Mike Stay
-Quantum Physics for Scientists and Technologists- by Paul Sanghera (Repost)
Algebraic Aspects of Cryptography (Algorithms and Computation in Mathematics) by Neal Koblitz (Repost)
Mathematics Mathematical Foundations of Computer Science 2004 [Repost]
Mathematics Mathematical Logic for Computer Science (3rd edition)
Physics Democracy and Public Space: The Physical Sites of Democratic Performance
Spaces of Holomorphic Functions in the Unit Ball (Graduate Texts in Mathematics) by Kehe Zhu (Repost)
An Introduction to Ergodic Theory (Graduate Texts in Mathematics) by Peter Walters (Repost)
Statistical and Thermal Physics - With Computer Applications
Introduction to the Physics of the Earth's Interior (Cambridge Topics in Mineral Ph) by Jean Paul Poirier (Repost)
Mathematics Symmetry Theory in Molecular Physics with Mathematica: A new kind of tutorial book (Repost)
THE GNOMON WORKSHOP CREATING A 3D FIGURE STUDY BOOKWARE ISO-LZ0
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Study Metric Structures for Riemannian and Non-Riemannian Spaces (Repost)
Posted on 2010-03-16
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More Metric Structures for Riemannian and Non-Riemannian Spaces Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory. The new wave began with seminal papers by Svarc and Milnor on the growth of groups and the spectacular proof of the rigidity of lattices by Mostow. This progress was followed by the creation of the asymptotic metric theory of infinite groups by Gromov. The structural metric approach to the Riemannian category, tracing back to Cheeger's thesis, pivots around the notion of the Gromov–Hausdorff distance between Riemannian manifolds. This distance organizes Riemannian manifolds of all possible topological types into a single connected moduli space, where convergence allows the collapse of dimension with unexpectedly rich geometry, as revealed in the work of Cheeger, Fukaya, Gromov and Perelman. Also, Gromov found metric structure within homotopy theory and thus introduced new invariants controlling combinatorial complexity of maps and spaces, such as the simplicial volume, which is responsible for degrees of maps between manifolds. During the same period, Banach spaces and probability theory underwent a geometric metamorphosis, stimulated by the Levy–Milman concentration phenomenon, encompassing the law of large numbers for metric spaces with measures and dimensions going to infinity http://rapidshare.com/files/356631118/2614.rar
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