Busemann, Herbert 1905
Overview
Works:  62 works in 256 publications in 5 languages and 4,530 library holdings 

Genres:  Periodicals 
Roles:  Author, Editor 
Publication Timeline
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Most widely held works by
Herbert Busemann
Projective geometry and projective metrics by
Herbert Busemann(
Book
)
31 editions published between 1953 and 2012 in English and held by 809 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
31 editions published between 1953 and 2012 in English and held by 809 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 662 WorldCat member libraries worldwide
The geometry of geodesics
41 editions published between 1953 and 2012 in English and Russian and held by 662 WorldCat member libraries worldwide
The geometry of geodesics
Advances in mathematics(
)
in English and Undetermined and held by 534 WorldCat member libraries worldwide
Contains contributions that represent significant advances in all areas of pure mathematics
in English and Undetermined and held by 534 WorldCat member libraries worldwide
Contains contributions that represent significant advances in all areas of pure mathematics
Recent synthetic differential geometry by
Herbert Busemann(
Book
)
20 editions published in 1970 in English and Undetermined and held by 464 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 corays and limit spheres). Secondly, many items from the literature in G (p. 409412) are used here and it seemed superfluous to include them in the present list of references (p. 106110). The quotations are distinguished by and (), so that, for example, FreudenthaI [1] and (I) are found, respectively, in G and here
20 editions published in 1970 in English and Undetermined and held by 464 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 corays and limit spheres). Secondly, many items from the literature in G (p. 409412) are used here and it seemed superfluous to include them in the present list of references (p. 106110). The quotations are distinguished by and (), so that, for example, FreudenthaI [1] and (I) are found, respectively, in G and here
Convex surfaces by
Herbert Busemann(
Book
)
24 editions published between 1958 and 2013 in 3 languages and held by 435 WorldCat member libraries worldwide
In this selfcontained 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 BrunnMinkowski 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 BrunnMinkowski theory and
24 editions published between 1958 and 2013 in 3 languages and held by 435 WorldCat member libraries worldwide
In this selfcontained 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 BrunnMinkowski 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 BrunnMinkowski theory and
Metric methods in Finsler spaces and in the foundations of geometry, by Herbert Busemann by
Herbert Busemann(
Book
)
32 editions published between 1942 and 1992 in English and held by 339 WorldCat member libraries worldwide
The book description for "Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM8)" is currently unavailable
32 editions published between 1942 and 1992 in English and held by 339 WorldCat member libraries worldwide
The book description for "Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM8)" is currently unavailable
Spaces with distinguished geodesics by
Herbert Busemann(
Book
)
11 editions published in 1987 in English and held by 266 WorldCat member libraries worldwide
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 60 WorldCat member libraries worldwide
8 editions published in 1967 in English and held by 60 WorldCat member libraries worldwide
Introduction to algebraic manifolds by
Herbert Busemann(
Book
)
2 editions published in 1939 in English and held by 46 WorldCat member libraries worldwide
2 editions published in 1939 in English and held by 46 WorldCat member libraries worldwide
Projective geometry and projective metrics by
Herbert Busemann(
Book
)
2 editions published in 2006 in English and held by 17 WorldCat member libraries worldwide
Geometers value basic results as much as they do the methods of projective and nonEuclidean geometry. This book emphasizes that fact, taking a nontraditional approach. Topics include the projective plane, polarities and conic sections, affine geometry, projective metrics, and nonEuclidean and spatial geometry. Includes numerous figures. 1953 edition
2 editions published in 2006 in English and held by 17 WorldCat member libraries worldwide
Geometers value basic results as much as they do the methods of projective and nonEuclidean geometry. This book emphasizes that fact, taking a nontraditional approach. Topics include the projective plane, polarities and conic sections, affine geometry, projective metrics, and nonEuclidean and spatial geometry. Includes numerous figures. 1953 edition
Advances in mathematics by
Herbert Busemann(
Book
)
6 editions published between 1961 and 1965 in English and Undetermined and held by 15 WorldCat member libraries worldwide
6 editions published between 1961 and 1965 in English and Undetermined and held by 15 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
3 editions published in 1939 in English and held by 12 WorldCat member libraries worldwide
On Minkowski's and Hilbert's geometries. A lecture given at the Galois Institute of Mathematics by
Herbert Busemann(
Book
)
4 editions published in 1934 in English and held by 11 WorldCat member libraries worldwide
4 editions published in 1934 in English and held by 11 WorldCat member libraries worldwide
Differentialgeometrie und Topologie: Internationales Kolloquium, Zürich, 1960 by
Schweizerische Mathematische Gesellschaft(
Book
)
4 editions published in 1962 in 4 languages and held by 9 WorldCat member libraries worldwide
4 editions published in 1962 in 4 languages and held by 9 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
3 editions published in 1932 in German and held by 9 WorldCat member libraries worldwide
Advances in mathematics(
Book
)
1 edition published in 1965 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 1965 in English and held by 9 WorldCat member libraries worldwide
Vypuklye poverkhnosti by
Herbert Busemann(
Book
)
1 edition published in 1964 in Russian and held by 6 WorldCat member libraries worldwide
1 edition published in 1964 in Russian and held by 6 WorldCat member libraries worldwide
Proektivnaja geometrija i proektivnye metriki by
Herbert Busemann(
Book
)
2 editions published in 1957 in Russian and Undetermined and held by 5 WorldCat member libraries worldwide
2 editions published in 1957 in Russian and Undetermined and held by 5 WorldCat member libraries worldwide
Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM8) by
Herbert Busemann(
Book
)
3 editions published between 1942 and 2016 in English and held by 1 WorldCat member library worldwide
The book description for "Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM8)" is currently unavailable
3 editions published between 1942 and 2016 in English and held by 1 WorldCat member library worldwide
The book description for "Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM8)" is currently unavailable
Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM8) by
Herbert Busemann(
)
1 edition published in 1943 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1943 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Kelly, Paul J. 19151995 Editor
 Phadke, B. B. (Bhalchandra Balvant) 1944
 Kelly, Paul Joseph
 Kelly, P. J. (Paul J.)
 IDEAL (Project)
 Galois Institute of Mathematics
 Chern, ShiingShen 19112004 Editor
 Bott, Raoul (Raoul H.) 1924 Editor
 Galois Institute of Mathematics and Art, Brooklyn
 Feller, William 19061970 Other
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Associated Subjects
Alternative Names
Busemann, H.
Busemann, H. 19051994
Busemann, Herbert
Buzeman, G.
Buzeman, Gerbert.
Herbert Busemann Amerikaans wiskundige (19051994)
Herbert Busemann amerikansk matematikar
Herbert Busemann amerikansk matematiker
Herbert Busemann Mathematician
Herbert Busemann mathématicien américain
Herbert Busemann USamerikanischer Mathematiker
Буземан, Г 1905
Герберт Буземан американский математик
Херберт Буземан американский математик
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