WorldCat Identities

Busemann, Herbert 1905-

Overview
Works: 54 works in 252 publications in 6 languages and 4,456 library holdings
Genres: Periodicals 
Roles: Author, Editor
Classifications: QA3, 516.7
Publication Timeline
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Most widely held works by Herbert Busemann
Projective geometry and projective metrics by Herbert Busemann( Book )

38 editions published between 1953 and 2012 in 4 languages and held by 856 WorldCat member libraries worldwide

VI. 51. Hyperbolic Spheres, Limit Spheres, and Equidistant SurfacesVI. 52. The Hyperbolic Group of Motions; VI. 53. Elliptic Geometry in Space; VI. 54. The Line Element of Elliptic Space; Bibliography; Index
The geometry of geodesics by Herbert Busemann( Book )

41 editions published between 1953 and 2012 in English and Russian and held by 665 WorldCat member libraries worldwide

A comprehensive approach to qualitative problems in intrinsic differential geometry, this text opens with an explanation of the basic concepts and proceeds to discussions of Desarguesian spaces, perpendiculars and parallels, and covering spaces. Concluding chapters examine the influence of the sign of the curvature on geodesics and homogenous spaces. 1955 edition. Includes 66 figures
Advances in mathematics( )

in English and Undetermined and held by 560 WorldCat member libraries worldwide

Contains contributions that represent significant advances in all areas of pure mathematics
Recent synthetic differential geometry by Herbert Busemann( Book )

15 editions published in 1970 in English and Undetermined and held by 457 WorldCat member libraries worldwide

Convex surfaces by Herbert Busemann( Book )

28 editions published between 1958 and 2013 in 4 languages and held by 447 WorldCat member libraries worldwide

In this self-contained geometry text, the author describes the main results of convex surface theory, providing all definitions and precise theorems. The first half focuses on extrinsic geometry and applications of the Brunn-Minkowski theory. The second part examines intrinsic geometry and the realization of intrinsic metrics.Starting with a brief overview of notations and terminology, the text proceeds to convex curves, the theorems of Meusnier and Euler, extrinsic Gauss curvature, and the influence of the curvature on the local shape of a surface. A chapter on the Brunn-Minkowski theory and
Metric methods in Finsler spaces and in the foundations of geometry, by Herbert Busemann by Herbert Busemann( Book )

29 editions published between 1942 and 1992 in English and held by 339 WorldCat member libraries worldwide

Spaces with distinguished geodesics by Herbert Busemann( Book )

11 editions published in 1987 in English and held by 266 WorldCat member libraries worldwide

Timelike spaces by Herbert Busemann( Book )

8 editions published in 1967 in English and held by 63 WorldCat member libraries worldwide

Introduction to algebraic manifolds by Herbert Busemann( Book )

2 editions published in 1939 in English and held by 45 WorldCat member libraries worldwide

Differentialgeometrie und Topologie: Internationales Kolloquium, Zürich, 1960 by Schweizerische Mathematische Gesellschaft( Book )

5 editions published in 1962 in 4 languages and held by 29 WorldCat member libraries worldwide

Advances in mathematics by Herbert Busemann( Book )

7 editions published between 1961 and 1965 in English and Undetermined and held by 19 WorldCat member libraries worldwide

On Minkowski's and Hilbert's geometries. A lecture given at the Galois Institute of Mathematics by Herbert Busemann( Book )

5 editions published in 1934 in English and held by 12 WorldCat member libraries worldwide

On plane convex figures : a lecture given at the Galois Institute of Mathematics at Long Island University by Herbert Busemann( Book )

3 editions published in 1939 in English and held by 12 WorldCat member libraries worldwide

Ueber die Geometrien, in denen die "Kreise mit unendlichem Radius" die kürzesten Linien sind by Herbert Busemann( Book )

3 editions published in 1932 in German and held by 9 WorldCat member libraries worldwide

Vypuklye poverkhnosti by Herbert Busemann( Book )

3 editions published in 1964 in Russian and held by 9 WorldCat member libraries worldwide

Advances in mathematics( Book )

1 edition published in 1965 in English and held by 8 WorldCat member libraries worldwide

Recent synthetic differential geometry by Herbert Busemann( Book )

4 editions published in 1970 in English and Undetermined and held by 6 WorldCat member libraries worldwide

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 (p. 409-412) are used here and it seemed superfluous to include them in the present list of references (p. 106-110). The quotations are distinguished by and (), so that, for example, FreudenthaI [1] and (I) are found, respectively, in G and here
Advances in mathematics( Book )

2 editions published in 1967 in English and held by 4 WorldCat member libraries worldwide

Zur Differentation der Lebensgueschen Integrale by Herbert Busemann( Book )

1 edition published in 1934 in German and held by 2 WorldCat member libraries worldwide

 
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The geometry of geodesics
Alternative Names
Busemann, H.

Busemann, H. 1905-1994

Busemann, Herbert

Buzeman, G.

Buzeman, Gerbert.

Herbert Busemann Amerikaans wiskundige (1905-1994)

Herbert Busemann amerikansk matematikar

Herbert Busemann amerikansk matematiker

Herbert Busemann Mathematician

Herbert Busemann mathématicien américain

Herbert Busemann US-amerikanischer Mathematiker

Буземан, Г 1905-

Герберт Буземан американский математик

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Languages
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The geometry of geodesicsConvex surfacesMetric methods in Finsler spaces and in the foundations of geometry, by Herbert Busemann