Pure Metric Geometry

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Pure Metric Geometry

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Author : Anton Petrunin
language : en
Publisher: Springer Nature
Release Date : 2023-11-21

Pure Metric Geometry written by Anton Petrunin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-21 with Mathematics categories.

This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key constructions and providing an analysis of universal spaces, injective spaces, the Gromov-Hausdorff convergence, and ultralimits. This book illustrates basic examples of domestic affairs of metric spaces, this includes Alexandrov geometry, geometric group theory, metric-measure spaces and optimal transport. Researchers in metric geometry will find this book appealing and helpful, in addition to graduate students in mathematics, and advanced undergraduate students in need of an introduction to metric geometry. Any previous knowledge of classical geometry, differential geometry, topology, and real analysis will be useful in understanding the presented topics.

A Course In Metric Geometry

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Author : Dmitri Burago
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

A Course In Metric Geometry written by Dmitri Burago and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

"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).

Differential Geometry

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Author : Clifford Taubes
language : en
Publisher: Oxford University Press
Release Date : 2011-10-13

Differential Geometry written by Clifford Taubes and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-13 with Mathematics categories.

Bundles, connections, metrics and curvature are the lingua franca of modern differential geometry and theoretical physics. Supplying graduate students in mathematics or theoretical physics with the fundamentals of these objects, this book would suit a one-semester course on the subject of bundles and the associated geometry.

Semi Riemannian Geometry With Applications To Relativity

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Author : Barrett O'Neill
language : en
Publisher: Academic Press
Release Date : 1983-07-29

Semi Riemannian Geometry With Applications To Relativity written by Barrett O'Neill and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-07-29 with Mathematics categories.

This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.

Conceptual Change And The Philosophy Of Science

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Author : David J. Stump
language : en
Publisher: Routledge
Release Date : 2015-05-15

Conceptual Change And The Philosophy Of Science written by David J. Stump and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-15 with Philosophy categories.

In this book, David Stump traces alternative conceptions of the a priori in the philosophy of science and defends a unique position in the current debates over conceptual change and the constitutive elements in science. Stump emphasizes the unique epistemological status of the constitutive elements of scientific theories, constitutive elements being the necessary preconditions that must be assumed in order to conduct a particular scientific inquiry. These constitutive elements, such as logic, mathematics, and even some fundamental laws of nature, were once taken to be a priori knowledge but can change, thus leading to a dynamic or relative a priori. Stump critically examines developments in thinking about constitutive elements in science as a priori knowledge, from Kant’s fixed and absolute a priori to Quine’s holistic empiricism. By examining the relationship between conceptual change and the epistemological status of constitutive elements in science, Stump puts forward an argument that scientific revolutions can be explained and relativism can be avoided without resorting to universals or absolutes.

The Development Of Peirce S Philosophy

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Author : Murray G. Murphey
language : en
Publisher: Hackett Publishing
Release Date : 1993-01-01

The Development Of Peirce S Philosophy written by Murray G. Murphey and has been published by Hackett Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Philosophy categories.

A reprint of the Harvard University Press edition of 1961. Includes a new preface and a new appendix with footnotes keyed to the manuscript classifications by Max Fisch.

Global Lorentzian Geometry Second Edition

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Author : John K. Beem
language : en
Publisher: CRC Press
Release Date : 1996-03-08

Global Lorentzian Geometry Second Edition written by John K. Beem and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-03-08 with Science categories.

Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.

Metric Spaces Convexity And Nonpositive Curvature

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Author : Athanase Papadopoulos
language : en
Publisher: European Mathematical Society
Release Date : 2005

Metric Spaces Convexity And Nonpositive Curvature written by Athanase Papadopoulos and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.

The Collected Papers Of Bertrand Russell Volume 2

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Author : Nicholas Griffin
language : en
Publisher: Taylor & Francis
Release Date : 2024-08-01

The Collected Papers Of Bertrand Russell Volume 2 written by Nicholas Griffin and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-01 with Philosophy categories.

The 1896-1899 papers, few of which were published in Russell's lifetime, concentrate primarily on physics, arithmetic and the concept of quantity. Several views that later became well-known in his The Principles of Mathematics actually originate in his earlier work, and though incomplete,An Analysis of Mathematical Reasoning, forms a centrepiece of the volume.

Borderology Cross Disciplinary Insights From The Border Zone

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Author : Jan Selmer Methi
language : en
Publisher: Springer
Release Date : 2018-10-04

Borderology Cross Disciplinary Insights From The Border Zone written by Jan Selmer Methi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-04 with Science categories.

This book provides a unique and multifaceted view on and understanding of borders and their manifestations: physical and mental, cultural and geographical, and as a question of life and death. It highlights the Green Belt along the Iron Curtain, which offered a haven for rare species for many decades and, after the Cold War, became a veritable treasure trove for a European network of researchers. A geographical border is something that can be seen, but other borders sometimes have to be crossed to be discovered. The border zone is an arena for development that is not found in any other places. This book focuses on borderology, which became the name of a cross-border study and research program that explores the border zone from multiple perspectives. This cross-disciplinary book will appeal to interested researchers and students from many fields, from philosophy and diplomacy to ecology and geography.