Bollobás, Béla
Overview
Works:  150 works in 693 publications in 8 languages and 12,916 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Contributor, Honoree 
Classifications:  QA166, 511.5 
Publication Timeline
.
Most widely held works about
Béla Bollobás
 Béla Bollobás  doctor honoris causa Universitatis Studiorum Mickiewiczianae Posnaniensis, 30 X 2013( Book )
 Special issue in honour of Béla Bollobás on his 60th birthday( Book )
Most widely held works by
Béla Bollobás
Graph theory : an introductory course by
Béla Bollobás(
Book
)
41 editions published between 1979 and 2012 in 4 languages and held by 898 WorldCat member libraries worldwide
From the reviews: "Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject. ... The book has chapters on electrical networks, flows, connectivity and matchings, extremal problems, colouring, Ramsey theory, random graphs, and graphs and groups. Each chapter starts at a measured and gentle pace. Classical results are proved and new insight is provided, with the examples at the end of each chapter fully supplementing the text ... Even so this allows an introduction not only to some of the deeper results but, more vitally, provides outlines of, and firm insights into, their proofs. Thus in an elementary text book, we gain an overall understanding of wellknown standard results, and yet at the same time constant hints of, and guidelines into, the higher levels of the subject. It is this aspect of the book which should guarantee it a permanent place in the literature." #Bulletin of the London Mathematical Society#1
41 editions published between 1979 and 2012 in 4 languages and held by 898 WorldCat member libraries worldwide
From the reviews: "Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject. ... The book has chapters on electrical networks, flows, connectivity and matchings, extremal problems, colouring, Ramsey theory, random graphs, and graphs and groups. Each chapter starts at a measured and gentle pace. Classical results are proved and new insight is provided, with the examples at the end of each chapter fully supplementing the text ... Even so this allows an introduction not only to some of the deeper results but, more vitally, provides outlines of, and firm insights into, their proofs. Thus in an elementary text book, we gain an overall understanding of wellknown standard results, and yet at the same time constant hints of, and guidelines into, the higher levels of the subject. It is this aspect of the book which should guarantee it a permanent place in the literature." #Bulletin of the London Mathematical Society#1
Random graphs by
Béla Bollobás(
Book
)
42 editions published between 1985 and 2008 in English and Undetermined and held by 853 WorldCat member libraries worldwide
"This is a new edition of the now classic text. The already extensive treatment given in the first edition has been heavily revised by the author. The addition of two new sections, numerous new results and 150 references means that this represents an up to date and comprehensive account of random graph theory. The theory (founded by Erdös and Re;nyi in the late fifties) aims to estimate the number of graphs of a given degree that exhibit certain properties. It not only has numerous combinatorial applications, but also serves as a model for the probabilistic treatment of more complicated random structures. This book, written by an acknowledged expert in the field, can be used by mathematicians, computer scientists and electrical engineers, as well as people working in biomathematics. It is selfcontained, and with numerous exercises in each chapter, is ideal for advanced courses or self study."Book cover
42 editions published between 1985 and 2008 in English and Undetermined and held by 853 WorldCat member libraries worldwide
"This is a new edition of the now classic text. The already extensive treatment given in the first edition has been heavily revised by the author. The addition of two new sections, numerous new results and 150 references means that this represents an up to date and comprehensive account of random graph theory. The theory (founded by Erdös and Re;nyi in the late fifties) aims to estimate the number of graphs of a given degree that exhibit certain properties. It not only has numerous combinatorial applications, but also serves as a model for the probabilistic treatment of more complicated random structures. This book, written by an acknowledged expert in the field, can be used by mathematicians, computer scientists and electrical engineers, as well as people working in biomathematics. It is selfcontained, and with numerous exercises in each chapter, is ideal for advanced courses or self study."Book cover
Modern graph theory by
Béla Bollobás(
Book
)
35 editions published between 1979 and 2010 in English and Spanish and held by 761 WorldCat member libraries worldwide
"This book is an indepth account of graph theory; it reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. The volume grew out of the author's earlier book, Graph Theory  An Introductory Course, but its length is well over twice that of its predecessor, allowing it to reveal many new developments in the subject. Recognizing that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavor of the subject and to arouse interest."Jacket
35 editions published between 1979 and 2010 in English and Spanish and held by 761 WorldCat member libraries worldwide
"This book is an indepth account of graph theory; it reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. The volume grew out of the author's earlier book, Graph Theory  An Introductory Course, but its length is well over twice that of its predecessor, allowing it to reveal many new developments in the subject. Recognizing that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavor of the subject and to arouse interest."Jacket
Littlewood's Miscellany by
John E Littlewood(
Book
)
27 editions published between 1986 and 2014 in 3 languages and held by 609 WorldCat member libraries worldwide
"Littlewood's Miscellany, which includes most of the earlier work as well as much of the material Professor Littlewood collected after the publication of A Mathematician's Miscellany, allows us to see academic life in Cambridge, especially in Trinity College, through the eyes of one of its greatest figures. The joy that Professor Littlewood found in life and mathematics is reflected in the many amusing anecdotes about his contemporaries, written in his pungent, aphoristic style. The general reader should, in most instances, have no trouble following the mathematical passages"Publisher's description
27 editions published between 1986 and 2014 in 3 languages and held by 609 WorldCat member libraries worldwide
"Littlewood's Miscellany, which includes most of the earlier work as well as much of the material Professor Littlewood collected after the publication of A Mathematician's Miscellany, allows us to see academic life in Cambridge, especially in Trinity College, through the eyes of one of its greatest figures. The joy that Professor Littlewood found in life and mathematics is reflected in the many amusing anecdotes about his contemporaries, written in his pungent, aphoristic style. The general reader should, in most instances, have no trouble following the mathematical passages"Publisher's description
Linear analysis : an introductory course by
Béla Bollobás(
Book
)
31 editions published between 1990 and 2011 in English and Undetermined and held by 593 WorldCat member libraries worldwide
This introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have some background in real analysis. The author's aim is not to cover the standard material in a standard way, but to present results of applications in contemporary mathematics and to show the relevance of functional analysis to other areas. Unusual topics covered include geometry of finitedimensional spaces, invariant subspace, fixedpoint theorem, and the BishopPhelps theorem. An outstanding set of exercises run from the elementary to the challenging
31 editions published between 1990 and 2011 in English and Undetermined and held by 593 WorldCat member libraries worldwide
This introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have some background in real analysis. The author's aim is not to cover the standard material in a standard way, but to present results of applications in contemporary mathematics and to show the relevance of functional analysis to other areas. Unusual topics covered include geometry of finitedimensional spaces, invariant subspace, fixedpoint theorem, and the BishopPhelps theorem. An outstanding set of exercises run from the elementary to the challenging
Extremal graph theory by
Béla Bollobás(
Book
)
25 editions published between 1978 and 2004 in English and Undetermined and held by 549 WorldCat member libraries worldwide
Connectivity; Matching; Cycles; The diameter; Colourings; Complete subgraphs; Topological subgraphs; Complexity and packing
25 editions published between 1978 and 2004 in English and Undetermined and held by 549 WorldCat member libraries worldwide
Connectivity; Matching; Cycles; The diameter; Colourings; Complete subgraphs; Topological subgraphs; Complexity and packing
Combinatorics : set systems, hypergraphs, families of vectors, and combinatorial probability by
Béla Bollobás(
Book
)
31 editions published between 1986 and 2004 in English and held by 509 WorldCat member libraries worldwide
"Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates."Publisher's description
31 editions published between 1986 and 2004 in English and held by 509 WorldCat member libraries worldwide
"Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates."Publisher's description
The art of mathematics : coffee time in Memphis by
Béla Bollobás(
Book
)
23 editions published between 2006 and 2010 in English and held by 445 WorldCat member libraries worldwide
Can a Christian escape from a lion? How quickly can a rumour spread? Can you fool an airline into accepting oversize baggage? Recreational mathematics is full of frivolous questions where the mathematician's art can be brought to bear. But play often has a purpose. In mathematics, it can sharpen skills, provide amusement, or simply surprise, and books of problems have been the stockintrade of mathematicians for centuries. This collection is designed to be sipped from, rather than consumed in one sitting. The questions range in difficulty: the most challenging offer a glimpse of deep results that engage mathematicians today; even the easiest prompt readers to think about mathematics. All come with solutions, many with hints, and most with illustrations. Whether you are an expert, or a beginner or an amateur mathematician, this book will delight for a lifetime
23 editions published between 2006 and 2010 in English and held by 445 WorldCat member libraries worldwide
Can a Christian escape from a lion? How quickly can a rumour spread? Can you fool an airline into accepting oversize baggage? Recreational mathematics is full of frivolous questions where the mathematician's art can be brought to bear. But play often has a purpose. In mathematics, it can sharpen skills, provide amusement, or simply surprise, and books of problems have been the stockintrade of mathematicians for centuries. This collection is designed to be sipped from, rather than consumed in one sitting. The questions range in difficulty: the most challenging offer a glimpse of deep results that engage mathematicians today; even the easiest prompt readers to think about mathematics. All come with solutions, many with hints, and most with illustrations. Whether you are an expert, or a beginner or an amateur mathematician, this book will delight for a lifetime
Percolation by
Béla Bollobás(
Book
)
21 editions published between 2006 and 2012 in English and held by 376 WorldCat member libraries worldwide
Percolation theory was initiated some fifty years ago as a mathematical framework for the study of random physical processes such as flow through a disordered porous medium. It has proved to be a remarkably rich theory, with applications beyond natural phenomena to topics such as network modelling. The aims of this book, first published in 2006, are twofold. First to present classical results in a way that is accessible to nonspecialists. Second, to describe results of Smirnov in conformal invariance, and outline the proof that the critical probability for random Voronoi percolation in the plane is 1/2. Throughout, the presentation is streamlined, with elegant and straightforward proofs requiring minimal background in probability and graph theory. Numerous examples illustrate the important concepts and enrich the arguments. Allinall, it will be an essential purchase for mathematicians, physicists, electrical engineers and computer scientists working in this exciting area
21 editions published between 2006 and 2012 in English and held by 376 WorldCat member libraries worldwide
Percolation theory was initiated some fifty years ago as a mathematical framework for the study of random physical processes such as flow through a disordered porous medium. It has proved to be a remarkably rich theory, with applications beyond natural phenomena to topics such as network modelling. The aims of this book, first published in 2006, are twofold. First to present classical results in a way that is accessible to nonspecialists. Second, to describe results of Smirnov in conformal invariance, and outline the proof that the critical probability for random Voronoi percolation in the plane is 1/2. Throughout, the presentation is streamlined, with elegant and straightforward proofs requiring minimal background in probability and graph theory. Numerous examples illustrate the important concepts and enrich the arguments. Allinall, it will be an essential purchase for mathematicians, physicists, electrical engineers and computer scientists working in this exciting area
Probabilistic combinatorics and its applications by
Béla Bollobás(
Book
)
20 editions published between 1991 and 1992 in English and Italian and held by 368 WorldCat member libraries worldwide
20 editions published between 1991 and 1992 in English and Italian and held by 368 WorldCat member libraries worldwide
Advances in graph theory by
Unknown(
Book
)
28 editions published in 1978 in English and Undetermined and held by 349 WorldCat member libraries worldwide
Advances in graph theory
28 editions published in 1978 in English and Undetermined and held by 349 WorldCat member libraries worldwide
Advances in graph theory
A Tribute to Paul Erdős(
Book
)
16 editions published between 1990 and 2008 in English and held by 343 WorldCat member libraries worldwide
A feature of this volume is a collection of some 50 outstanding unsolved problems, together with their 'value'!
16 editions published between 1990 and 2008 in English and held by 343 WorldCat member libraries worldwide
A feature of this volume is a collection of some 50 outstanding unsolved problems, together with their 'value'!
Extremal graph theory with emphasis on probabilistic methods by
Béla Bollobás(
Book
)
15 editions published in 1986 in English and held by 340 WorldCat member libraries worldwide
15 editions published in 1986 in English and held by 340 WorldCat member libraries worldwide
Graph theory and combinatorics : proceedings of the Cambridge Combinatorial Conference in honour of Paul Erdős by Cambridge Combinatorial Conference(
Book
)
22 editions published between 1983 and 1984 in English and Undetermined and held by 333 WorldCat member libraries worldwide
22 editions published between 1983 and 1984 in English and Undetermined and held by 333 WorldCat member libraries worldwide
Surveys in combinatorics : proceedings of the 7th British Combinatorial Conference by
British Combinatorial Conference(
Book
)
22 editions published between 1974 and 1979 in 3 languages and held by 328 WorldCat member libraries worldwide
Combinatorics is an active field of mathematical study and the British Combinatorial Conference, held biennially, aims to survey the most important developments by inviting distinguished mathematicians to lecture at the meeting. The contributions of the principal lecturers at the Seventh Conference, held in Cambridge, are published here and the topics reflect the breadth of the subject. Each author has written a broadly conceived survey, not limited to his own work, but intended for wide readership. Important aspects of the subject are emphasized so that nonspecialists will find them understandable. Topics covered include graph theory, matroids, combinatorial set theory, projective geometry and combinatorial group theory. All those researching into any aspect of Combinatorics and its applications will find much in these articles of use and interest
22 editions published between 1974 and 1979 in 3 languages and held by 328 WorldCat member libraries worldwide
Combinatorics is an active field of mathematical study and the British Combinatorial Conference, held biennially, aims to survey the most important developments by inviting distinguished mathematicians to lecture at the meeting. The contributions of the principal lecturers at the Seventh Conference, held in Cambridge, are published here and the topics reflect the breadth of the subject. Each author has written a broadly conceived survey, not limited to his own work, but intended for wide readership. Important aspects of the subject are emphasized so that nonspecialists will find them understandable. Topics covered include graph theory, matroids, combinatorial set theory, projective geometry and combinatorial group theory. All those researching into any aspect of Combinatorics and its applications will find much in these articles of use and interest
Graph theory : proceedings of the Conference on Graph Theory, Cambridge by
Béla Bollobás(
Book
)
22 editions published in 1982 in English and held by 299 WorldCat member libraries worldwide
22 editions published in 1982 in English and held by 299 WorldCat member libraries worldwide
Handbook of largescale random networks by
Béla Bollobás(
Book
)
22 editions published between 2008 and 2010 in English and Undetermined and held by 89 WorldCat member libraries worldwide
This handbook describes advances in large scale network studies that have taken place in the past 5 years since the publication of the Handbook of Graphs and Networks in 2003. It covers all aspects of largescale networks, including mathematical foundations and rigorous results of random graph theory, modeling and computational aspects of largescale networks, as well as areas in physics, biology, neuroscience, sociology and technical areas. Applications range from microscopic to mesoscopic and macroscopic models. The book is based on the material of the NSF workshop on Largescale Random Graphs held in Budapest in 2006, at the Alfréd Rényi Institute of Mathematics, organized jointly with the University of Memphis
22 editions published between 2008 and 2010 in English and Undetermined and held by 89 WorldCat member libraries worldwide
This handbook describes advances in large scale network studies that have taken place in the past 5 years since the publication of the Handbook of Graphs and Networks in 2003. It covers all aspects of largescale networks, including mathematical foundations and rigorous results of random graph theory, modeling and computational aspects of largescale networks, as well as areas in physics, biology, neuroscience, sociology and technical areas. Applications range from microscopic to mesoscopic and macroscopic models. The book is based on the material of the NSF workshop on Largescale Random Graphs held in Budapest in 2006, at the Alfréd Rényi Institute of Mathematics, organized jointly with the University of Memphis
Typical dynamics of volume preserving homeomorphisms by
Steve Alpern(
)
3 editions published in 2001 in English and held by 0 WorldCat member libraries worldwide
This 2000 book provides a selfcontained introduction to typical properties of homeomorphisms. Examples of properties of homeomorphisms considered include transitivity, chaos and ergodicity. A key idea here is the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. The authors make the first part of this book very concrete by considering volume preserving homeomorphisms of the unit ndimensional cube, and they go on to prove fixed point theorems (Conley & ndash;Zehnder & ndash; Franks). This is done in a number of short selfcontained chapters which would be suitable for an undergraduate analysis seminar or a graduate lecture course. Much of this work describes the work of the two authors, over the last twenty years, in extending to different settings and properties, the celebrated result of Oxtoby and Ulam that for volume homeomorphisms of the unit cube, ergodicity is a typical property
3 editions published in 2001 in English and held by 0 WorldCat member libraries worldwide
This 2000 book provides a selfcontained introduction to typical properties of homeomorphisms. Examples of properties of homeomorphisms considered include transitivity, chaos and ergodicity. A key idea here is the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. The authors make the first part of this book very concrete by considering volume preserving homeomorphisms of the unit ndimensional cube, and they go on to prove fixed point theorems (Conley & ndash;Zehnder & ndash; Franks). This is done in a number of short selfcontained chapters which would be suitable for an undergraduate analysis seminar or a graduate lecture course. Much of this work describes the work of the two authors, over the last twenty years, in extending to different settings and properties, the celebrated result of Oxtoby and Ulam that for volume homeomorphisms of the unit cube, ergodicity is a typical property
Harmonic Maps, Conservation Laws and Moving Frames by
Béla Bollobás(
)
2 editions published in 2002 in English and held by 0 WorldCat member libraries worldwide
Annotation This accessible introduction to harmonic map theory and its analytical aspects, covers recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. It then presents a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A presentation of "exotic" functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a "Coulomb moving frame" is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces
2 editions published in 2002 in English and held by 0 WorldCat member libraries worldwide
Annotation This accessible introduction to harmonic map theory and its analytical aspects, covers recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. It then presents a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A presentation of "exotic" functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a "Coulomb moving frame" is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces
Set theory by
George J Tourlakis(
)
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
This twovolume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a userfriendly conversational lecture style that makes them equally effective for selfstudy or class use. Volume II, on formal (ZFC) set theory, incorporates a selfcontained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
This twovolume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a userfriendly conversational lecture style that makes them equally effective for selfstudy or class use. Volume II, on formal (ZFC) set theory, incorporates a selfcontained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing
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Related Identities
 Erdős, Paul 19131996 Other Honoree Editor
 Fulton, W. Other Editor
 Katok, A. Other Editor
 University of Cambridge Department of Pure Mathematics and Mathematical Statistics
 Sarnak, P. Other Editor
 Kirwan, F. Other Editor
 Littlewood, John E. (John Edensor) 18851977 Author
 Chung, Fan R. K. 1949
 Miklós, D. Editor
 Kozma, Robert Editor
Useful Links
Associated Subjects
Algebra Combinatorial analysis Combinatorial probabilities Computational complexity Computer science Computer scienceMathematics Computer simulation Computer software Degrees, Academic Differentiable dynamical systems Erdős, Paul, Ergodic theory Extremal problems (Mathematics) Functional analysis Geometry Graph theory Harmonic maps Homeomorphisms Large scale systems Logic, Symbolic and mathematical Mathematical recreations Mathematics Measurepreserving transformations Percolation (Statistical physics) Ramsey theory Random graphs Riemannian manifolds Set theory Stochastic processes System analysis Uniwersytet im. Adama Mickiewicza w Poznaniu
Alternative Names
Béla Bollobás Hongaars wiskundige
Béla Bollobás matemático húngaro
Béla Bollobás matematico ungherese
Béla Bollobás mathématicien hongrois
Béla Bollobás ungarischbritischer Mathematiker
Béla Bollobás węgierski matematyk
Bollóbas, B.
Bollobás, B. 1943
Bollobás, B. (Béla)
Bollobás, B. (Béla), 1943
Bollobás, Béla
Bollobás Béla (matematikus) magyar matematikus, egyetemi tanár, az MTA tagja
BOLOBÁS Béla
Бела Балабаш
Бела Боллобаш
ベラ・バラバシ
ボロバシュ, B.
ボロバッシュ, B.
贝拉·波罗巴斯
Languages
Covers