Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) PDF full book. Access full book title Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) by Herbert Busemann. Download full books in PDF and EPUB format.
Author: Herbert Busemann
Publisher: Princeton University Press
ISBN: 140088229X
Category : Mathematics
Languages : en
Pages : 243
Get Book Here
Book Description
The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be forthcoming.
Author: Herbert Busemann
Publisher: Princeton University Press
ISBN: 140088229X
Category : Mathematics
Languages : en
Pages : 243
Get Book Here
Book Description
The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be forthcoming.
Author: Herbert Busemann
Publisher:
ISBN:
Category : Generalized spaces
Languages : en
Pages : 243
Get Book Here
Book Description
Author: Herbert Busemann
Publisher:
ISBN:
Category :
Languages : en
Pages : 243
Get Book Here
Book Description
Author: Herbert Busemann
Publisher:
ISBN:
Category :
Languages : en
Pages : 243
Get Book Here
Book Description
Author: Herbert Busemann
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Get Book Here
Book Description
Author: G.S. Asanov
Publisher: Springer Science & Business Media
ISBN: 9400953291
Category : Science
Languages : en
Pages : 375
Get Book Here
Book Description
The methods of differential geometry have been so completely merged nowadays with physical concepts that general relativity may well be considered to be a physical theory of the geometrical properties of space-time. The general relativity principles together with the recent development of Finsler geometry as a metric generalization of Riemannian geometry justify the attempt to systematize the basic techniques for extending general relativity on the basis of Finsler geometry. It is this endeavour that forms the subject matter of the present book. Our exposition reveals the remarkable fact that the Finslerian approach is automatically permeated with the idea of the unification of the geometrical space-time picture with gauge field theory - a circumstance that we try our best to elucidate in this book. The book has been written in such a way that the reader acquainted with the methods of tensor calculus and linear algebra at the graduate level can use it as a manual of Finslerian techniques orientable to applications in several fields. The problems attached to the chapters are also intended to serve this purpose. This notwithstanding, whenever we touch upon the Finslerian refinement or generalization of physical concepts, we assume that the reader is acquainted with these concepts at least at the level of the standard textbooks, to which we refer him or her.
Author: Hanno Rund
Publisher: Springer Science & Business Media
ISBN: 3642516106
Category : Mathematics
Languages : en
Pages : 298
Get Book Here
Book Description
The present monograph is motivated by two distinct aims. Firstly, an endeavour has been made to furnish a reasonably comprehensive account of the theory of Finsler spaces based on the methods of classical differential geometry. Secondly, it is hoped that this monograph may serve also as an introduction to a branch of differential geometry which is closely related to various topics in theoretical physics, notably analytical dynamics and geometrical optics. With this second object in mind, an attempt has been made to describe the basic aspects of the theory in some detail - even at the expense of conciseness - while in the more specialised sections of the later chapters, which might be of interest chiefly to the specialist, a more succinct style has been adopted. The fact that there exist several fundamentally different points of view with regard to Finsler geometry has rendered the task of writing a coherent account a rather difficult one. This remark is relevant not only to the development of the subject on the basis of the tensor calculus, but is applicable in an even wider sense. The extensive work of H. BUSEMANN has opened up new avenues of approach to Finsler geometry which are independent of the methods of classical tensor analysis. In the latter sense, therefore, a full description of this approach does not fall within the scope of this treatise, although its fundamental l significance cannot be doubted.
Author: Herbert Busemann
Publisher: Courier Corporation
ISBN: 0486154629
Category : Mathematics
Languages : en
Pages : 434
Get Book Here
Book Description
A comprehensive approach to qualitative problems in intrinsic differential geometry, this text examines Desarguesian spaces, perpendiculars and parallels, covering spaces, the influence of the sign of the curvature on geodesics, more. 1955 edition. Includes 66 figures.
Author: Anton Petrunin
Publisher: Springer Nature
ISBN: 3031391624
Category : Mathematics
Languages : en
Pages : 107
Get Book Here
Book Description
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.
Author: Athanase Papadopoulos
Publisher: European Mathematical Society
ISBN: 9783037190104
Category : Computers
Languages : en
Pages : 306
Get Book Here
Book Description
