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Author: Herbert Busemann
Publisher: Courier Corporation
ISBN: 0486154998
Category : Mathematics
Languages : en
Pages : 210
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Book Description
This exploration of convex surfaces focuses on extrinsic geometry and applications of the Brunn-Minkowski theory. It also examines intrinsic geometry and the realization of intrinsic metrics. 1958 edition.
Author: Herbert Busemann
Publisher: Courier Corporation
ISBN: 0486154998
Category : Mathematics
Languages : en
Pages : 210
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Book Description
This exploration of convex surfaces focuses on extrinsic geometry and applications of the Brunn-Minkowski theory. It also examines intrinsic geometry and the realization of intrinsic metrics. 1958 edition.
Author: Alekseĭ Vasilʹevich Pogorelov
Publisher: American Mathematical Soc.
ISBN: 9780821886618
Category : Mathematics
Languages : en
Pages : 680
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Book Description
Author: J. A. Thorpe
Publisher: Springer Science & Business Media
ISBN: 1461261538
Category : Mathematics
Languages : en
Pages : 263
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Book Description
In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view are now available and have been widely adopted. Students completing the sophomore year now have a fair preliminary under standing of spaces of many dimensions. It should be apparent that courses on the junior level should draw upon and reinforce the concepts and skills learned during the previous year. Unfortunately, in differential geometry at least, this is usually not the case. Textbooks directed to students at this level generally restrict attention to 2-dimensional surfaces in 3-space rather than to surfaces of arbitrary dimension. Although most of the recent books do use linear algebra, it is only the algebra of ~3. The student's preliminary understanding of higher dimensions is not cultivated.
Author: Yu.D. Burago
Publisher: Springer Science & Business Media
ISBN: 3662027518
Category : Mathematics
Languages : en
Pages : 263
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Book Description
A volume devoted to the extremely clear and intrinsically beautiful theory of two-dimensional surfaces in Euclidean spaces. The main focus is on the connection between the theory of embedded surfaces and two-dimensional Riemannian geometry, and the influence of properties of intrinsic metrics on the geometry of surfaces.
Author: S.S. Kutateladze
Publisher: CRC Press
ISBN: 0203643844
Category : Mathematics
Languages : en
Pages : 442
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Book Description
A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems primarily from this masterpiece--now available in its entirely for the first time since its 1948 publication in Russian. Alexandrov's treatise begins with an outline of the basic concepts, definitions, and r
Author: Peter M. Gruber
Publisher: Springer Science & Business Media
ISBN: 3540711333
Category : Mathematics
Languages : en
Pages : 590
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Book Description
Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other subdisciplines. This book provides a comprehensive overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers, and useful to people working in the applied fields.
Author: Karim Adiprasito
Publisher: Springer
ISBN: 3319281860
Category : Mathematics
Languages : en
Pages : 277
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Book Description
This volume presents easy-to-understand yet surprising properties obtained using topological, geometric and graph theoretic tools in the areas covered by the Geometry Conference that took place in Mulhouse, France from September 7–11, 2014 in honour of Tudor Zamfirescu on the occasion of his 70th anniversary. The contributions address subjects in convexity and discrete geometry, in distance geometry or with geometrical flavor in combinatorics, graph theory or non-linear analysis. Written by top experts, these papers highlight the close connections between these fields, as well as ties to other domains of geometry and their reciprocal influence. They offer an overview on recent developments in geometry and its border with discrete mathematics, and provide answers to several open questions. The volume addresses a large audience in mathematics, including researchers and graduate students interested in geometry and geometrical problems.
![Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835 PDF](https://books.google.com/books/content/images/frontcover/zxQ4AAAAMAAJ?fife=w80-h100)
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 684
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Book Description
Author: Michel Marie Deza
Publisher: Springer Science & Business Media
ISBN: 364200234X
Category : Mathematics
Languages : en
Pages : 584
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Book Description
Distance metrics and distances have become an essential tool in many areas of pure and applied Mathematics, and this encyclopedia is the first one to treat the subject in full. The book appears just as research intensifies into metric spaces and especially, distance design for applications. These distances are particularly crucial, for example, in computational biology, image analysis, speech recognition, and information retrieval. Here, an assessment of the practical questions arising during selection of a "good'' distance function has been left aside in favor of a comprehensive listing of the main available distances, a useful tool for the distance design community. This reader-friendly reference offers both independent introductions and definitions, while at the same time making cross-referencing easy through hyperlink-like boldfaced references to original definitions. This high-quality publication is a mix of reference resource and coffee-table book.
Author: M. Hazewinkel
Publisher: Springer
ISBN: 1489937978
Category : Mathematics
Languages : en
Pages : 927
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Book Description
