Recent Synthetic Differential Geometry - Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge - Herbert Busemann - Grāmatas - Springer-Verlag Berlin and Heidelberg Gm - 9783642880599 - 2012. gada 11. aprīlis
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Herbert Busemann
Recent Synthetic Differential Geometry - Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge Softcover Reprint of the Original 1st Ed. 1970 edition

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A synthetic approach to intrinsic differential geometry in the large and its connections with the foundations of geometry was presented in "The Geometry of Geodesics" (1955, quoted as G). It is the purpose of the present report to bring this theory up to date. Many of the later ip.vestigations were stimulated by problems posed in G, others concern newtopics. Naturally references to G are frequent. However, large parts, in particular Chapters I and III as weIl as several individual seetions, use only the basic definitions. These are repeated here, sometimes in a slightly different form, so as to apply to more general situations. In many cases a quoted result is quite familiar in Riemannian Geometry and consulting G will not be found necessary. There are two exceptions : The theory of paralleIs is used in Sections 13, 15 and 17 without reformulating all definitions and properties (of co-rays and limit spheres). Secondly, many items from the literature in G (pp. 409-412) are used here and it seemed superfluous to include them in the present list of references (pp. 106-110). The quotations are distinguished by [ ] and ( ), so that, for example, FreudenthaI [1] and (I) are found, respectively, in G and here.

112 pages, biography

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 2012. gada 11. aprīlis
ISBN13 9783642880599
Izdevēji Springer-Verlag Berlin and Heidelberg Gm
Lapas 112
Izmēri 156 × 234 × 6 mm   ·   185 g
Valoda Angļu  

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