Metric Methods in Finsler Spaces and in the Foundation of Geometry 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 :
Languages : en
Pages : 0
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Book Description
Author: Athanase Papadopoulos
Publisher: Springer Nature
ISBN: 3031435109
Category :
Languages : en
Pages : 396
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Book Description
Author: Herbert Busemann
Publisher:
ISBN: 9780598976017
Category :
Languages : en
Pages : 253
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Book Description
Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 598
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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.
Author: University of California (System). Institute of Library Research
Publisher:
ISBN:
Category : Library catalogs
Languages : en
Pages : 876
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Book Description
Author: R. Miron
Publisher: Springer Science & Business Media
ISBN: 9401107882
Category : Science
Languages : en
Pages : 302
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Book Description
Differential-geometric methods are gaining increasing importance in the understanding of a wide range of fundamental natural phenomena. Very often, the starting point for such studies is a variational problem formulated for a convenient Lagrangian. From a formal point of view, a Lagrangian is a smooth real function defined on the total space of the tangent bundle to a manifold satisfying some regularity conditions. The main purpose of this book is to present: (a) an extensive discussion of the geometry of the total space of a vector bundle; (b) a detailed exposition of Lagrange geometry; and (c) a description of the most important applications. New methods are described for construction geometrical models for applications. The various chapters consider topics such as fibre and vector bundles, the Einstein equations, generalized Einstein--Yang--Mills equations, the geometry of the total space of a tangent bundle, Finsler and Lagrange spaces, relativistic geometrical optics, and the geometry of time-dependent Lagrangians. Prerequisites for using the book are a good foundation in general manifold theory and a general background in geometrical models in physics. For mathematical physicists and applied mathematicians interested in the theory and applications of differential-geometric methods.
