Metric Methods in Finsler Spaces and in the Foundations of Geometry. Reprinted with the Permission of the Original Publishers PDF Download
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Author: Herbert Busemann
Publisher:
ISBN:
Category :
Languages : en
Pages : 243
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Book Description
Author: Herbert Busemann
Publisher:
ISBN:
Category :
Languages : en
Pages : 243
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Book Description
Author: Herbert Busemann
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages : 243
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Book Description
Author: Herbert Busemann
Publisher:
ISBN:
Category :
Languages : en
Pages : 243
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Book Description
Author: Herbert Busemann
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages : 278
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Book Description
Author: Herbert Busemann
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Herbert Busemann
Publisher:
ISBN: 9780598976017
Category :
Languages : en
Pages : 253
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Book Description
Author: David Carfi
Publisher: American Mathematical Soc.
ISBN: 0821891472
Category : Mathematics
Languages : en
Pages : 410
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Book Description
This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoit Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry (and some aspects of dynamical systems) in pure mathematics. Also included are articles discussing a variety of connections of fractal geometry with other fields of mathematics, including probability theory, number theory, geometric measure theory, partial differential equations, global analysis on non-smooth spaces, harmonic analysis and spectral geometry. The companion volume (Contemporary Mathematics, Volume 601) focuses on applications of fractal geometry and dynamical systems to other sciences, including physics, engineering, computer science, economics, and finance.
Author: Jong-Ping Hsu
Publisher: World Scientific
ISBN: 9812563350
Category : Science
Languages : en
Pages : 662
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Book Description
This collection of papers presents ideas and problems arising over the past 100 years regarding classical and quantum gravity, gauge theories of gravity, and spacetime transformations of accelerated frames. Both Einstein's theory of gravity and the Yang-Mills theory are gauge invariant. The invariance principles in physics have transcended both kinetic and dynamic properties and are at the very heart of our understanding of the physical world. In this spirit, this book attempts to survey the development of various formulations for gravitational and Yang-Mills fields and spacetime transformations of accelerated frames, and to reveal their associated problems and limitations.The aim is to present some of the leading ideas and problems discussed by physicists and mathematicians. We highlight three aspects: formulations of gravity as a Yang-Mills field, first discussed by Utiyama; problems of gravitational theory, discussed by Feynman, Dyson and others; spacetime properties and the physics of fields and particles in accelerated frames of reference.These unfulfilled aspects of Einstein and Yang-Mills' profound thoughts present a great challenge to physicists and mathematicians in the 21st century.
Author: Shiing-Shen Chern
Publisher: American Mathematical Soc.
ISBN: 9780821873526
Category :
Languages : en
Pages : 260
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Book Description
Author: Dmitri Burago
Publisher: American Mathematical Society
ISBN: 1470468530
Category : Mathematics
Languages : en
Pages : 415
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Book Description
“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-Carathéodory 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 the exposition.
