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Titlebook: The Differential Geometry of Finsler Spaces; Hanno Rund Book 1959 Springer-Verlag Berlin Heidelberg 1959 Finsler geometry.Tensor.calculus.

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书目名称The Differential Geometry of Finsler Spaces
编辑Hanno Rund
视频video
丛书名称Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: The Differential Geometry of Finsler Spaces;  Hanno Rund Book 1959 Springer-Verlag Berlin Heidelberg 1959 Finsler geometry.Tensor.calculus.
描述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
出版日期Book 1959
关键词Finsler geometry; Tensor; calculus; differential geometry; geometry; tensor analysis
版次1
doihttps://doi.org/10.1007/978-3-642-51610-8
isbn_softcover978-3-642-51612-2
isbn_ebook978-3-642-51610-8Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag Berlin Heidelberg 1959
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