Cameron, Peter J. (Peter Jephson) 1947
Overview
Works:  40 works in 325 publications in 3 languages and 12,161 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Thesis advisor, Contributor, 958 
Publication Timeline
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Most widely held works by
Peter J Cameron
Combinatorics : topics, techniques, algorithms by
Peter J Cameron(
Book
)
31 editions published between 1994 and 2010 in 3 languages and held by 641 WorldCat member libraries worldwide
Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This is a textbook aimed at secondyear undergraduates to beginning graduates. It stresses common techniques (such as generating functions and recursive construction) which underlie the great variety of subject matter and also stresses the fact that a constructive or algorithmic proof is more valuable than an existence proof. The book is divided into two parts, the second at a higher level and with a wider range than the first. Historical notes are included which give a wider perspective on the subject. More advanced topics are given as projects and there are a number of exercises, some with solutions given
31 editions published between 1994 and 2010 in 3 languages and held by 641 WorldCat member libraries worldwide
Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This is a textbook aimed at secondyear undergraduates to beginning graduates. It stresses common techniques (such as generating functions and recursive construction) which underlie the great variety of subject matter and also stresses the fact that a constructive or algorithmic proof is more valuable than an existence proof. The book is divided into two parts, the second at a higher level and with a wider range than the first. Historical notes are included which give a wider perspective on the subject. More advanced topics are given as projects and there are a number of exercises, some with solutions given
Parallelisms of complete designs by
Peter J Cameron(
Book
)
20 editions published between 1976 and 2007 in English and held by 398 WorldCat member libraries worldwide
These notes present an investigation of a condition similar to Euclid's parallel axiom for subsets of finite sets. The background material to the theory of parallelisms is introduced and the author then describes the links this theory has with other topics from the whole range of combinatorial theory and permutation groups. These include network flows, perfect codes, Latin squares, block designs and multiplytransitive permutation groups, and long and detailed appendices are provided to serve as introductions to these various subjects. Many of the results are published for the first time
20 editions published between 1976 and 2007 in English and held by 398 WorldCat member libraries worldwide
These notes present an investigation of a condition similar to Euclid's parallel axiom for subsets of finite sets. The background material to the theory of parallelisms is introduced and the author then describes the links this theory has with other topics from the whole range of combinatorial theory and permutation groups. These include network flows, perfect codes, Latin squares, block designs and multiplytransitive permutation groups, and long and detailed appendices are provided to serve as introductions to these various subjects. Many of the results are published for the first time
Sets, logic, and categories by
Peter J Cameron(
Book
)
30 editions published between 1998 and 2008 in English and held by 352 WorldCat member libraries worldwide
Sets, the toolbox for making mathematical models, logic, which tests conclusions, and category theory, the study of functions which preserve some structure on a set together provide the basis for computational science. This selfstudy guide to all three theories contains many examples
30 editions published between 1998 and 2008 in English and held by 352 WorldCat member libraries worldwide
Sets, the toolbox for making mathematical models, logic, which tests conclusions, and category theory, the study of functions which preserve some structure on a set together provide the basis for computational science. This selfstudy guide to all three theories contains many examples
Permutation groups by
Peter J Cameron(
Book
)
19 editions published between 1999 and 2010 in English and Undetermined and held by 351 WorldCat member libraries worldwide
Permutation groups are one of the oldest topics in algebra. Their study has recently been revolutionized by new developments, particularly the Classification of Finite Simple Groups, but also relations with logic and combinatorics, and importantly, computer algebra systems have been introduced that can deal with large permutation groups. This text summarizes these developments, including an introduction to relevant computer algebra systems, sketch proofs of major theorems, and many examples of applying the Classification of Finite Simple Groups. It is aimed at beginning graduate students and experts in other areas, and grew from a short course at the EIDMA institute in Eindhoven
19 editions published between 1999 and 2010 in English and Undetermined and held by 351 WorldCat member libraries worldwide
Permutation groups are one of the oldest topics in algebra. Their study has recently been revolutionized by new developments, particularly the Classification of Finite Simple Groups, but also relations with logic and combinatorics, and importantly, computer algebra systems have been introduced that can deal with large permutation groups. This text summarizes these developments, including an introduction to relevant computer algebra systems, sketch proofs of major theorems, and many examples of applying the Classification of Finite Simple Groups. It is aimed at beginning graduate students and experts in other areas, and grew from a short course at the EIDMA institute in Eindhoven
Oligomorphic permutation groups by
Peter J Cameron(
Book
)
17 editions published between 1990 and 2001 in English and Undetermined and held by 303 WorldCat member libraries worldwide
The study of permutation groups has always been closely associated with that of highly symmetric structures. The objects considered here are countably infinite, but have only finitely many different substructures of any given finite size. They are precisely those structures which are determined by firstorder logical axioms together with the assumption of countability. This book concerns such structures, their substructures and their automorphism groups. A wide range of techniques are used: group theory, combinatorics, Baire category and measure among them. The book arose from lectures given at a research symposium and retains their informal style, whilst including as well many recent results from a variety of sources. It concludes with exercises and unsolved research problems
17 editions published between 1990 and 2001 in English and Undetermined and held by 303 WorldCat member libraries worldwide
The study of permutation groups has always been closely associated with that of highly symmetric structures. The objects considered here are countably infinite, but have only finitely many different substructures of any given finite size. They are precisely those structures which are determined by firstorder logical axioms together with the assumption of countability. This book concerns such structures, their substructures and their automorphism groups. A wide range of techniques are used: group theory, combinatorics, Baire category and measure among them. The book arose from lectures given at a research symposium and retains their informal style, whilst including as well many recent results from a variety of sources. It concludes with exercises and unsolved research problems
Combinatorial surveys : proceedings of the Sixth British Combinatorial Conference by
British Combinatorial Conference(
Book
)
18 editions published in 1977 in English and held by 254 WorldCat member libraries worldwide
18 editions published in 1977 in English and held by 254 WorldCat member libraries worldwide
Notes on counting : an introduction to enumerative combinatorics by
Peter J Cameron(
Book
)
7 editions published in 2017 in English and held by 91 WorldCat member libraries worldwide
Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book, which stems from many years' experience of teaching, invites students into the subject and prepares them for more advanced texts. It is suitable as a class text or for individual study. The author provides proofs for many of the theorems to show the range of techniques available, and uses examples to link enumerative combinatorics to other areas of study. The main section of the book introduces the key tools of the subject (generating functions and recurrence relations), which are then used to study the most important combinatorial objects, namely subsets, partitions, and permutations of a set. Later chapters deal with more specialised topics, including permanents, SDRs, group actions and the Redfield–Pólya theory of cycle indices, Möbius inversion, the Tutte polynomial, and species
7 editions published in 2017 in English and held by 91 WorldCat member libraries worldwide
Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book, which stems from many years' experience of teaching, invites students into the subject and prepares them for more advanced texts. It is suitable as a class text or for individual study. The author provides proofs for many of the theorems to show the range of techniques available, and uses examples to link enumerative combinatorics to other areas of study. The main section of the book introduces the key tools of the subject (generating functions and recurrence relations), which are then used to study the most important combinatorial objects, namely subsets, partitions, and permutations of a set. Later chapters deal with more specialised topics, including permanents, SDRs, group actions and the Redfield–Pólya theory of cycle indices, Möbius inversion, the Tutte polynomial, and species
A Collection of contributions in honour of Jack van Lint by
Peter J Cameron(
Book
)
8 editions published in 1992 in English and Undetermined and held by 40 WorldCat member libraries worldwide
8 editions published in 1992 in English and Undetermined and held by 40 WorldCat member libraries worldwide
Projective and polar spaces by
Peter J Cameron(
Book
)
6 editions published between 1974 and 1993 in English and held by 28 WorldCat member libraries worldwide
6 editions published between 1974 and 1993 in English and held by 28 WorldCat member libraries worldwide
Teorija grafov, teorija kodirovanija i blokschemy by
Peter J Cameron(
Book
)
4 editions published in 1980 in Russian and held by 10 WorldCat member libraries worldwide
4 editions published in 1980 in Russian and held by 10 WorldCat member libraries worldwide
Topics in algebraic graph theory by
Lowell W Beineke(
Book
)
8 editions published between 2004 and 2007 in English and held by 9 WorldCat member libraries worldwide
The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and group theory (for studying graph symmetry). These areas have links with other areas of mathematics, such as logic and harmonic analysis, and are increasingly being used in such areas as computer networks where symmetry is an important feature. Other books cover portions of this material, but this book is unusual in covering both of these aspects and there are no other books with such a wide scope. The book contain ten expository chapters written by acknowledged international experts in the field. Their wellwritten contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory, linear algebra and group theory. Each chapter concludes with an extensive list of references
8 editions published between 2004 and 2007 in English and held by 9 WorldCat member libraries worldwide
The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and group theory (for studying graph symmetry). These areas have links with other areas of mathematics, such as logic and harmonic analysis, and are increasingly being used in such areas as computer networks where symmetry is an important feature. Other books cover portions of this material, but this book is unusual in covering both of these aspects and there are no other books with such a wide scope. The book contain ten expository chapters written by acknowledged international experts in the field. Their wellwritten contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory, linear algebra and group theory. Each chapter concludes with an extensive list of references
Tubes in PG(3,q) by
Peter J Cameron(
)
1 edition published in 2004 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 8 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Lint, Jacobus Hendricus van 1932 Other Honoree
 Hirschfeld, J. W. P. (James William Peter) 1940 Editor
 Hughes, D. R. (Daniel R.) Editor
 Tilborg, Henk C. A. van 1947
 Beineke, Lowell W. Author Editor
 Wilson, Robin J. Editor
 Queen Mary and Westfield College (University of London)
 Cambridge University Press Publisher
 London Mathematical Society
 British Combinatorial Conference (6, 1977, London)
Useful Links
Associated Subjects
Algebra Categories (Mathematics) Combinatorial analysis Combinatorial designs and configurations Combinatorial enumeration problems Combinatorial geometry Geometry, Affine Geometry, Projective Graph theory Ktheory Logic, Symbolic and mathematical Mathematical analysis Mathematics Numeration Parallels (Geometry) Permutation groups Set theory
Alternative Names
Cameron, P.J.
Cameron, P. J. 1947
Cameron, P. J. (Peter Jephson), 1947
Cameron, Peter J.
Cameron, Peter J. (Peter Jephson)
Cameron, Peter Jephson
Cameron, Peter Jephson 1947
Kameron, P.
Peter Cameron australiensk matematiker
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Peter Cameron wiskundige uit Australië
Камерон, П..
Питер Камерон
پیتر کامرون
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