Grünbaum, Branko
Overview
Works:  72 works in 178 publications in 4 languages and 3,370 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
)
29 editions published between 1986 and 2013 in English and held by 1,392 WorldCat member libraries worldwide
29 editions published between 1986 and 2013 in English and held by 1,392 WorldCat member libraries worldwide
Convex polytopes
by
Branko Grünbaum(
Book
)
44 editions published between 1957 and 2003 in 3 languages and held by 926 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
44 editions published between 1957 and 2003 in 3 languages and held by 926 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
)
10 editions published between 1981 and 1982 in English and held by 369 WorldCat member libraries worldwide
10 editions published between 1981 and 1982 in English and held by 369 WorldCat member libraries worldwide
Arrangements and spreads
by
Branko Grünbaum(
Book
)
11 editions published in 1972 in English and held by 362 WorldCat member libraries worldwide
11 editions published in 1972 in English and held by 362 WorldCat member libraries worldwide
Configurations of points and lines
by
Branko Grünbaum(
Book
)
7 editions published in 2009 in English and held by 211 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
7 editions published in 2009 in English and held by 211 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
Projections onto some function spaces
by
Branko Grünbaum(
)
3 editions published in 1959 in English and held by 13 WorldCat member libraries worldwide
3 editions published in 1959 in English and held by 13 WorldCat member libraries worldwide
Ėti︠u︡dy po kombinatornoĭ geometrii i teorii vypuklykh tel
by
Branko Grünbaum(
Book
)
1 edition published in 1971 in Russian and held by 9 WorldCat member libraries worldwide
1 edition published in 1971 in Russian and held by 9 WorldCat member libraries worldwide
Teorema Khelli i ee primenenii︠a︡ = Helly's theorem and its relatives
by
Ludwig Danzer(
Book
)
2 editions published in 1968 in Russian and held by 5 WorldCat member libraries worldwide
2 editions published in 1968 in Russian and held by 5 WorldCat member libraries worldwide
The Mathematical Coloring Book : Mathematics of Coloring and the Colorful Life Of its Creators
(
)
1 edition published in 2009 in English and held by 4 WorldCat member libraries worldwide
This book is dedicated to problems involving colored objects, and to results about the existence of certain exciting and unexpected properties that occur regardless of how these objects are colored. In mathematics, these results comprise the beautiful area known as Ramsey Theory. Wolfram's Math World defines Ramsey Theory as 'the mathematical study of combinatorial objects in which a certain degree of order must occur as the scale of the object becomes large'. Ramsey Theory thus includes parts of many fields of mathematics, including combinatorics, geometry, and number theory.This book addresses famous and exciting problems of Ramsey Theory, along with the history surrounding the discovery of Ramsey Theory. In addition, the author studies the life of Issai Schur, Pierre Joseph Henry Baudet and B.L. van der Waerden. In researching this book over the past 18 years, the author corresponded extensively with B.L. van der Waerden, Paul Erdos, Henry Baudet, and many others. As a result, this book will incorporate never before published correspondence and photographs.Historians of mathematics will herein find much new information, along with old errors corrected and published here for the first time in book form. And everyone will experience seeing, for the first time, faces one has not seen before in print, on rare and unique photographs of the creators of the mathematics presented herein, from Francis Guthrie to Frank Ramsey, and documents, such as the one where Adolph Hitler commits a 'micromanagement' of firing the Jew, Issai Schur from his job as Professor of Mathematics at the University of Berlin
1 edition published in 2009 in English and held by 4 WorldCat member libraries worldwide
This book is dedicated to problems involving colored objects, and to results about the existence of certain exciting and unexpected properties that occur regardless of how these objects are colored. In mathematics, these results comprise the beautiful area known as Ramsey Theory. Wolfram's Math World defines Ramsey Theory as 'the mathematical study of combinatorial objects in which a certain degree of order must occur as the scale of the object becomes large'. Ramsey Theory thus includes parts of many fields of mathematics, including combinatorics, geometry, and number theory.This book addresses famous and exciting problems of Ramsey Theory, along with the history surrounding the discovery of Ramsey Theory. In addition, the author studies the life of Issai Schur, Pierre Joseph Henry Baudet and B.L. van der Waerden. In researching this book over the past 18 years, the author corresponded extensively with B.L. van der Waerden, Paul Erdos, Henry Baudet, and many others. As a result, this book will incorporate never before published correspondence and photographs.Historians of mathematics will herein find much new information, along with old errors corrected and published here for the first time in book form. And everyone will experience seeing, for the first time, faces one has not seen before in print, on rare and unique photographs of the creators of the mathematics presented herein, from Francis Guthrie to Frank Ramsey, and documents, such as the one where Adolph Hitler commits a 'micromanagement' of firing the Jew, Issai Schur from his job as Professor of Mathematics at the University of Berlin
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
Teorema Helli i ee primenenija
by
Ludwig Danzer(
Book
)
3 editions published in 1968 in Russian and held by 3 WorldCat member libraries worldwide
3 editions published in 1968 in Russian and held by 3 WorldCat member libraries worldwide
Omittable lines
by Leah Berman(
)
1 edition published in 2008 in English and held by 2 WorldCat member libraries worldwide
Given a collection of $n$ lines in the real projective plane, a line $\ell$ is said to be omittable if $\ell$ is free of ordinary points of intersection; in other words, if all the intersection points of $\ell$ with other lines from the collection come at the intersection of three or more lines. Given a collection of lines $\mathcal{L}$, denoting by $\mathcal{O(L)}$ the set of all omittable lines in the collection and by $g(\mathcal{L})$ the cardinality of $\mathcal{O(L)}$, we describe three infinite families of lines that can serve as $\mathcal{O(L)}$ for suitable $\mathcal{L}$ and also display a finite set of sporadic additional examples in which $\mathcal{O(L)}$ does not fall into any of the three families. We derive bounds on the size of $g(\mathcal{L})$ when $\mathcal{O(L)}$ falls into one of the three infinite families and weaker bounds for the more general case
1 edition published in 2008 in English and held by 2 WorldCat member libraries worldwide
Given a collection of $n$ lines in the real projective plane, a line $\ell$ is said to be omittable if $\ell$ is free of ordinary points of intersection; in other words, if all the intersection points of $\ell$ with other lines from the collection come at the intersection of three or more lines. Given a collection of lines $\mathcal{L}$, denoting by $\mathcal{O(L)}$ the set of all omittable lines in the collection and by $g(\mathcal{L})$ the cardinality of $\mathcal{O(L)}$, we describe three infinite families of lines that can serve as $\mathcal{O(L)}$ for suitable $\mathcal{L}$ and also display a finite set of sporadic additional examples in which $\mathcal{O(L)}$ does not fall into any of the three families. We derive bounds on the size of $g(\mathcal{L})$ when $\mathcal{O(L)}$ falls into one of the three infinite families and weaker bounds for the more general case
Convex polytopes : With the cooperation of Victor Klee u.a
by
Branko Grünbaum(
Book
)
1 edition published in 1967 in Undetermined and held by 2 WorldCat member libraries worldwide
1 edition published in 1967 in Undetermined and held by 2 WorldCat member libraries worldwide
Lectures on lost mathematics
by
Branko Grünbaum(
Book
)
1 edition published in 1978 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1978 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)
ON COMBINATORIAL SPHERES
(
Book
)
2 editions published in 1969 in English and held by 2 WorldCat member libraries worldwide
The paper describes combinatorial spheres which are not isomorphic to the boundary complex of any convex polytope. Special attention is devoted to the case of centrally symmetric combinatorial spheres; examples are given which show that such spheres may be more neighborly than centrally symmetric polytopes. (Author)
2 editions published in 1969 in English and held by 2 WorldCat member libraries worldwide
The paper describes combinatorial spheres which are not isomorphic to the boundary complex of any convex polytope. Special attention is devoted to the case of centrally symmetric combinatorial spheres; examples are given which show that such spheres may be more neighborly than centrally symmetric polytopes. (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
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
more
fewer
Audience Level
0 

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Related Identities
 Shephard, G. C. (Geoffrey Colin) Contributor
 Klee, Victor Honoree Contributor Editor Author
 Kaibel, Volker Editor
 Davis, Chandler Author Editor
 Sherk, F. A. Editor
 Coxeter, H. S. M. (Harold Scott Macdonald) 19072003 Honoree Dedicatee
 Ziegler, Günter M. Editor
 Conference Board of the Mathematical Sciences
 Perles, M. A. Contributor
 WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS
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