WorldCat Identities

Cameron, Peter J. (Peter Jephson) 1947-

Overview
Works: 56 works in 337 publications in 3 languages and 13,043 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Thesis advisor, Contributor, 958, edi
Classifications: QA164, 511.6
Publication Timeline
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Most widely held works by Peter J Cameron
Introduction to algebra by Peter J Cameron( )

29 editions published between 1998 and 2008 in English and held by 2,246 WorldCat member libraries worldwide

"Developed to meet the needs of modern students, this Second Edition of the classic algebra text by Peter Cameron covers all the abstract algebra an undergraduate student is likely to need. Starting with an introductory overview of numbers, sets and functions, matrices, polynomials, and modular arithmetic, the text then introduces the most important algebraic structures: groups, rings and fields, and their properties. This is followed by coverage of vector spaces and modules with applications to abelian groups and canonical forms before returning to the construction of the number systems, including the existence of transcendental numbers. The final chapters take the reader further into the theory of groups, rings and fields, coding theory, and Galois theory. With over 300 exercises, and web-based solutions, this is an ideal introductory text for Year 1 and 2 undergraduate students in mathematics."--BOOK JACKET
Graphs, codes, and designs by Peter J Cameron( )

17 editions published in 1980 in English and held by 1,321 WorldCat member libraries worldwide

This book is concerned with the relations between graphs, error-correcting codes and designs
Graph theory, coding theory, and block designs by Peter J Cameron( )

18 editions published in 1975 in English and held by 1,319 WorldCat member libraries worldwide

These are notes deriving from lecture courses on the theory of t-designs and graph theory given by the authors in 1973 at Westfield College, London
Parallelisms of complete designs by Peter J Cameron( )

18 editions published between 1976 and 2007 in English and held by 1,238 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 multiply-transitive 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
Finite geometries and designs : proceedings of the second Isle of Thorns conference 1980 by P. J Cameron( )

28 editions published between 1980 and 2011 in English and held by 1,204 WorldCat member libraries worldwide

This 1981 collection of 33 research papers follows from a conference on the interwoven themes of finite Desarguesian spaces and Steiner systems, amongst other topics
Oligomorphic permutation groups by Peter J Cameron( )

15 editions published between 1990 and 2001 in English and Undetermined and held by 1,159 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 first-order 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
Designs, graphs, codes, and their links by Peter J Cameron( )

26 editions published between 1991 and 2000 in English and held by 1,131 WorldCat member libraries worldwide

"Although design theory, graph theory and coding theory, had their origins in various areas of applied mathematics, today they are found under the umbrella of discrete mathematics. Here the authors have considerably reworked and expanded their earlier successful books on designs, graphs and codes, into an invaluable textbook. They do not seek to consider each of these three topics individually, but rather to stress the many and varied connections between them. The discrete mathematics needed is developed in the text, making this book accessible to any student with a background of undergraduate algebra. Many exercises and useful hints are included throughout, and a large number of references are given. Book jacket."--BOOK JACKET
Permutation groups by Peter J Cameron( )

19 editions published between 1999 and 2010 in English and Undetermined and held by 1,103 WorldCat member libraries worldwide

3.12 Wielandt's Theorem3.13 Exercises; Chapter 4 The O' Nan-Scott Theorem; 4.1 Introduction; 4.2 Precursors; 4.3 Product action and basic groups; 4.4 Some basic groups; 4.5 The O'Nan-Scott Theorem; 4.6 Maximal subgroups of Sn; 4.7 The finite simple groups; 4.8 Application: Multiply-transitive groups; 4.9 Application: Degrees of primitive groups; 4.10 Application: Orders of primitive groups; 4.11 Application: The length of Sn; 4.12 Application: Distance-transitive graphs; 4.13 Bases; 4.14 Geometric groups and IBIS groups; 4.15 Appendix: Matroids; 4.16 Exercises; Chapter 5 Oligomorphic groups
Combinatorics : topics, techniques, algorithms by Peter J Cameron( Book )

31 editions published between 1994 and 2010 in 3 languages and held by 679 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 second-year 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
Topics in algebraic graph theory by Lowell W Beineke( )

10 editions published between 2004 and 2007 in English and held by 546 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 well-written 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
Sets, logic, and categories by Peter J Cameron( Book )

31 editions published between 1998 and 2008 in English and held by 437 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 self-study guide to all three theories contains many examples
Combinatorial surveys : proceedings of the Sixth British Combinatorial Conference by British Combinatorial Conference( Book )

15 editions published in 1977 in English and held by 258 WorldCat member libraries worldwide

Notes on counting : an introduction to enumerative combinatorics by Peter J Cameron( Book )

8 editions published in 2017 in English and held by 160 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 held by 40 WorldCat member libraries worldwide

Oligomorphic permutation groups : Symposium on model theory and groups : Papers by Peter J Cameron( )

4 editions published between 1990 and 2009 in English and Undetermined and held by 36 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 first-order 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 a
Parallelisms of Complete Designs by Peter J Cameron( )

3 editions published in 1976 in English and held by 33 WorldCat member libraries worldwide

These notes present an investigation of a condition similar to Euclid's parallel axiom for subsets of finite sets
Projective and polar spaces by Peter J Cameron( Book )

7 editions published between 1974 and 1993 in English and held by 32 WorldCat member libraries worldwide

Introduction to algebra by Peter J Cameron( Book )

1 edition published in 2007 in English and held by 28 WorldCat member libraries worldwide

Teorija grafov, teorija kodirovanija i blok-schemy by Peter J Cameron( Book )

2 editions published in 1980 in Russian and held by 8 WorldCat member libraries worldwide

Tubes in PG(3,q) by Peter J Cameron( )

1 edition published in 2004 in English and held by 8 WorldCat member libraries worldwide

 
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Audience level: 0.17 (from 0.07 for Oligomorph ... to 0.92 for Teorija gr ...)

Combinatorics : topics, techniques, algorithms
Covers
Graphs, codes, and designsGraph theory, coding theory, and block designsParallelisms of complete designsFinite geometries and designs : proceedings of the second Isle of Thorns conference 1980Oligomorphic permutation groupsDesigns, graphs, codes, and their linksPermutation groupsCombinatorics : topics, techniques, algorithms
Alternative Names
Cameron P.I.

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.

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Камерон П.

Питер Камерон

بيتر كاميرون (عالم رياضيات) رياضياتي أسترالي

پیتر کامرون

Languages
English (283)

Russian (2)

Spanish (1)