Grünbaum, Branko
Overview
Works:  53 works in 198 publications in 3 languages and 3,589 library holdings 

Roles:  Author, Editor, Honoree, Other 
Classifications:  QA166.8, 511.6 
Publication Timeline
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Most widely held works by
Branko Grünbaum
Tilings and patterns by
Branko Grünbaum(
Book
)
37 editions published between 1986 and 2016 in English and held by 1,422 WorldCat member libraries worldwide
37 editions published between 1986 and 2016 in English and held by 1,422 WorldCat member libraries worldwide
Convex polytopes by
Branko Grünbaum(
Book
)
55 editions published between 1957 and 2003 in 3 languages and held by 955 WorldCat member libraries worldwide
"The original edition ... inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent advances in the subject would have been made. The many seeds it sowed have since grown into healthy trees, with vigorous branches and luxuriant foliage. It is good to see it in print once again."Peter McMullen, University College London
55 editions published between 1957 and 2003 in 3 languages and held by 955 WorldCat member libraries worldwide
"The original edition ... inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent advances in the subject would have been made. The many seeds it sowed have since grown into healthy trees, with vigorous branches and luxuriant foliage. It is good to see it in print once again."Peter McMullen, University College London
The Geometric vein : the Coxeter festschrift by
Chandler Davis(
Book
)
13 editions published between 1981 and 1982 in English and held by 367 WorldCat member libraries worldwide
Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, socalled, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted reper tory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom sets. It has been a major current in mathematics, with a distinctive approach and a distinc ti v e spirit. A current, furthermore, which has not been constant. In the 1930s, after a period of pervasive prominence, it appeared to be in decline, even passe. These same years were those in which H.S.M. Coxeter was beginning his scientific work. Undeterred by the unfashionability of geometry, Coxeter pursued it with devotion and inspiration. By the 1950s he appeared to the broader mathematical world as a consummate practitioner of a peculiar, outoftheway art. Today there is no longer anything that outoftheway about it. Coxeter has contributed to, exemplified, we could almost say presided over an unanticipated and dra matic revival of geometry
13 editions published between 1981 and 1982 in English and held by 367 WorldCat member libraries worldwide
Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, socalled, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted reper tory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom sets. It has been a major current in mathematics, with a distinctive approach and a distinc ti v e spirit. A current, furthermore, which has not been constant. In the 1930s, after a period of pervasive prominence, it appeared to be in decline, even passe. These same years were those in which H.S.M. Coxeter was beginning his scientific work. Undeterred by the unfashionability of geometry, Coxeter pursued it with devotion and inspiration. By the 1950s he appeared to the broader mathematical world as a consummate practitioner of a peculiar, outoftheway art. Today there is no longer anything that outoftheway about it. Coxeter has contributed to, exemplified, we could almost say presided over an unanticipated and dra matic revival of geometry
Arrangements and spreads by
Branko Grünbaum(
Book
)
18 editions published in 1972 in English and Undetermined and held by 365 WorldCat member libraries worldwide
18 editions published in 1972 in English and Undetermined and held by 365 WorldCat member libraries worldwide
Configurations of points and lines by
Branko Grünbaum(
Book
)
11 editions published in 2009 in English and held by 234 WorldCat member libraries worldwide
"This is the only book on the topic of geometric configurations of points and lines. It presents in detail the history of the topic, with its surges and declines since its beginning in 1876. It covers all the advances in the field since the revival of interest in geometric configurations some 20 years ago. The book brings the readers to the limits of present knowledge in a leisurely way, enabling them to enjoy the material as well as entice them to try their hand at expanding it."Jacket
11 editions published in 2009 in English and held by 234 WorldCat member libraries worldwide
"This is the only book on the topic of geometric configurations of points and lines. It presents in detail the history of the topic, with its surges and declines since its beginning in 1876. It covers all the advances in the field since the revival of interest in geometric configurations some 20 years ago. The book brings the readers to the limits of present knowledge in a leisurely way, enabling them to enjoy the material as well as entice them to try their hand at expanding it."Jacket
Teorema Chelli i ee primenenija by
Ludwig DANZER(
Book
)
7 editions published between 1963 and 1968 in 3 languages and held by 15 WorldCat member libraries worldwide
7 editions published between 1963 and 1968 in 3 languages and held by 15 WorldCat member libraries worldwide
Ėti︠u︡dy po kombinatornoĭ geometrii i teorii vypuklykh tel by
Branko Grünbaum(
Book
)
3 editions published in 1971 in Russian and held by 11 WorldCat member libraries worldwide
3 editions published in 1971 in Russian and held by 11 WorldCat member libraries worldwide
Projections onto some function spaces by
Branko Grünbaum(
Book
)
4 editions published in 1959 in English and held by 6 WorldCat member libraries worldwide
4 editions published in 1959 in English and held by 6 WorldCat member libraries worldwide
Ėtjudy po kombinatornoj geometrij i teorii vypuklych tel by
Branko Grünbaum(
Book
)
2 editions published in 1971 in Russian and held by 4 WorldCat member libraries worldwide
2 editions published in 1971 in Russian and held by 4 WorldCat member libraries worldwide
Projection constants by
Branko Grünbaum(
Book
)
1 edition published in 1958 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1958 in English and held by 3 WorldCat member libraries worldwide
Lectures on lost mathematics by
Branko Grünbaum(
Book
)
2 editions published in 1978 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1978 in English and held by 3 WorldCat member libraries worldwide
Simplicial arrangements revisited by
Branko Grünbaum(
)
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
In connection with the publication of the catalogue [B. Grünbaum, A catalogue of simplicial arrangements in the real projective plane, Ars Mathematica Contemporanea 2 (2009), 125] of known simplicial arrangements of lines in the real projective plane, and the note [B. Grünbaum, Small unstretchable simplicial arrangements of pseudolines, Geombinatorics 18 (2009), 153160] about small simplicial arrangements of pseudolines, several developments of these topics deserve to be mentioned. The present paper puts these results in perspective, and provides appropriate illustrations
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
In connection with the publication of the catalogue [B. Grünbaum, A catalogue of simplicial arrangements in the real projective plane, Ars Mathematica Contemporanea 2 (2009), 125] of known simplicial arrangements of lines in the real projective plane, and the note [B. Grünbaum, Small unstretchable simplicial arrangements of pseudolines, Geombinatorics 18 (2009), 153160] about small simplicial arrangements of pseudolines, several developments of these topics deserve to be mentioned. The present paper puts these results in perspective, and provides appropriate illustrations
Extensions, retractions and projections by
Branko Grünbaum(
Book
)
2 editions published in 1958 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1958 in English and held by 2 WorldCat member libraries worldwide
New views on some old questions of combinatorial geometry by
Branko Grünbaum(
)
1 edition published in 1976 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1976 in English and held by 2 WorldCat member libraries worldwide
On a theorem of Kirszbraun. On a problem of S. Mazur by
Branko Grünbaum(
Book
)
1 edition published in 1958 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1958 in English and held by 2 WorldCat member libraries worldwide
Incidence patterns of graphs and complexes(
Book
)
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
A survey of the known results on graphs and complexes associated as incidence patterns to different types of graphs, complexes, or families of sets. Among the topics discussed are interchange graphs, interval graphs, total graphs, and nerves. (Author)
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
A survey of the known results on graphs and complexes associated as incidence patterns to different types of graphs, complexes, or families of sets. Among the topics discussed are interchange graphs, interval graphs, total graphs, and nerves. (Author)
A catalogue of simplicial arrangements in the real projective plane by
Branko Grünbaum(
)
1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide
An arrangement is the complex generated in the real projective plane by a finite family of straight lines that do not form a pencil. The faces of an arrangement are the connected components of the complement of the union of lines. An arrangement is simplicial if all its faces are simplices (triangles). The present paper updates the only previous catalogue of simplicial arrangements, published almost 40 years ago, and presented in a very condensed form. The simplicial arrangements often provide optimal solutions for various problems. A problem that seems very hard is to decide whether the collection presented here is a complete listing of simplicial arrangements
1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide
An arrangement is the complex generated in the real projective plane by a finite family of straight lines that do not form a pencil. The faces of an arrangement are the connected components of the complement of the union of lines. An arrangement is simplicial if all its faces are simplices (triangles). The present paper updates the only previous catalogue of simplicial arrangements, published almost 40 years ago, and presented in a very condensed form. The simplicial arrangements often provide optimal solutions for various problems. A problem that seems very hard is to decide whether the collection presented here is a complete listing of simplicial arrangements
A measure of asymmetry for plane convex sets by
Branko Grünbaum(
Book
)
2 editions published in 1962 in English and held by 1 WorldCat member library worldwide
2 editions published in 1962 in English and held by 1 WorldCat member library worldwide
The KleeGrünbaum Festival of Geometry : on the occasion of Victor Klee's 75th Birthday and Branko Grünbaum's 70th birthday
... we held a conference honouring both of them; th conference was held in the Holiday Village of Kibbutz Ein Gev, Israel,
April 916, 2000 by ʻÊnGēv> KleeGrünbaumFestival of Geometry. <2000(
Book
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Configurations of points and lines by
Branko Grünbaum(
)
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Shephard, G. C. (Geoffrey Colin) Contributor
 Klee, Victor Contributor Honoree Author Editor
 Sherk, F. A. Editor
 Davis, Chandler Author Editor
 Kaibel, Volker Editor
 Ziegler, Günter M. Editor
 Coxeter, H. S. M. (Harold Scott Macdonald) 19072003 Honoree Dedicatee
 Conference Board of the Mathematical Sciences Other
 Perles, M. A. Contributor
 Danzer, Ludwig Author
Useful Links
Associated Subjects
Algebraic topology Canada Combinatorial designs and configurations Configurations Convex bodies Convex polytopes Coxeter, H. S. M.(Harold Scott Macdonald), Discrete groups Generalized spaces Geometry Geometry, Differential Geometry, Projective Mathematics Polytopes Projection Rigidity (Geometry) Scientists Tiling (Mathematics) Transformations (Mathematics) United States
Alternative Names
Branko Grünbaum
Branko Grünbaum CroatianAmerican mathematician at the University of Washington
Branko Grünbaum israelischer Mathematiker
Branko Grünbaum matematico croato
Branko Grünbaum wiskundige uit Israël
Grjunbaum, B. 1929
Grûnbaum, B.
Grunbaum, Branko
Μπράνκο Γκρηνμπάουμ Κροάτης μαθηματικός
Грюнбаум, Бранко.
ברנקו גרונבאום
גרינבאום, ברנקו
גרינבאום, ברנקו, 1929
布蘭科·格倫鮑姆
布蘭科·格林鮑姆
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