Beweismethoden der Differentialgeometrie im Großen
Author: H. Huck
Publisher: Springer-Verlag
Published: 2006-11-15
Total Pages: 171
ISBN-13: 3540469907
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Author: H. Huck
Publisher: Springer-Verlag
Published: 2006-11-15
Total Pages: 171
ISBN-13: 3540469907
DOWNLOAD EBOOKAuthor: H. Huck
Publisher:
Published: 1973
Total Pages:
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Published: 1973
Total Pages: 168
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Published: 1973
Total Pages: 168
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DOWNLOAD EBOOKAuthor: A. Svec
Publisher: Springer Science & Business Media
Published: 2001-11-30
Total Pages: 160
ISBN-13: 9781402003189
DOWNLOAD EBOOKWriting this book, I had in my mind areader trying to get some knowledge of a part of the modern differential geometry. I concentrate myself on the study of sur faces in the Euclidean 3-space, this being the most natural object for investigation. The global differential geometry of surfaces in E3 is based on two classical results: (i) the ovaloids (i.e., closed surfaces with positive Gauss curvature) with constant Gauss or mean curvature are the spheres, (ü) two isometrie ovaloids are congruent. The results presented here show vast generalizations of these facts. Up to now, there is only one book covering this area of research: the Lecture Notes [3] written in the tensor slang. In my book, I am using the machinary of E. Cartan's calculus. It should be equivalent to the tensor calculus; nevertheless, using it I get better results (but, honestly, sometimes it is too complicated). It may be said that almost all results are new and belong to myself (the exceptions being the introductory three chapters, the few classical results and results of my post graduate student Mr. M. ÄFWAT who proved Theorems V.3.1, V.3.3 and VIII.2.1-6).
Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
Published: 2013-12-01
Total Pages: 499
ISBN-13: 940095994X
DOWNLOAD EBOOKAuthor: M. Hazewinkel
Publisher: Springer
Published: 2013-12-01
Total Pages: 967
ISBN-13: 1489937951
DOWNLOAD EBOOKAuthor: Bozzano G Luisa
Publisher: Elsevier
Published: 2014-06-28
Total Pages: 769
ISBN-13: 0080934404
DOWNLOAD EBOOKHandbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions. The selection first offers information on the geometry of numbers, lattice points, and packing and covering with convex sets. Discussions focus on packing in non-Euclidean spaces, problems in the Euclidean plane, general convex bodies, computational complexity of lattice point problem, centrally symmetric convex bodies, reduction theory, and lattices and the space of lattices. The text then examines finite packing and covering and tilings, including plane tilings, monohedral tilings, bin packing, and sausage problems. The manuscript takes a look at valuations and dissections, geometric crystallography, convexity and differential geometry, and convex functions. Topics include differentiability, inequalities, uniqueness theorems for convex hypersurfaces, mixed discriminants and mixed volumes, differential geometric characterization of convexity, reduction of quadratic forms, and finite groups of symmetry operations. The selection is a dependable source of data for mathematicians and researchers interested in convex geometry.
Author: Rolf Schneider
Publisher: Cambridge University Press
Published: 2014
Total Pages: 759
ISBN-13: 1107601010
DOWNLOAD EBOOKA complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.