WorldCat Identities

Cameron, Peter J. (Peter Jephson) 1947-

Overview
Works: 40 works in 319 publications in 3 languages and 11,992 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 640 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
Introduction to algebra by Peter J Cameron( Book )

29 editions published between 1998 and 2008 in English and held by 519 WorldCat member libraries worldwide

This Second Edition of a classic algebra text includes updated and comprehensive introductory chapters, . new material on axiom of Choice, p-groups and local rings, discussion of theory and applications, and over 300 exercises. It is an ideal introductory text for all Year 1 and 2 undergraduate students in mathematics. - ;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, polynom
Graph theory, coding theory, and block designs by Peter J Cameron( Book )

16 editions published in 1975 in English and Undetermined and held by 442 WorldCat member libraries worldwide

Graphs, codes, and designs by Peter J Cameron( Book )

19 editions published in 1980 in English and held by 431 WorldCat member libraries worldwide

This book is concerned with the relations between graphs, error-correcting codes and designs
Parallelisms of complete designs by Peter J Cameron( Book )

23 editions published between 1976 and 2007 in English and held by 401 WorldCat member libraries worldwide

These notes present an investigation of a condition similar to Euclid's parallel axiom for subsets of finite sets
Designs, graphs, codes, and their links by Peter J Cameron( Book )

24 editions published between 1991 and 2000 in English and held by 388 WorldCat member libraries worldwide

Although graph theory, design theory, and coding theory had their origins in various areas of applied mathematics, today they are to be found under the umbrella of discrete mathematics. Here the authors have considerably reworked and expanded their earlier successful books on graphs, codes and designs, 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 througout, and a large number of references are given
Permutation groups by Peter J Cameron( Book )

19 editions published between 1999 and 2010 in English and Undetermined and held by 353 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
Sets, logic, and categories by Peter J Cameron( Book )

30 editions published between 1998 and 2008 in English and held by 349 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
Finite geometries and designs : proceedings of the second Isle of Thorns conference 1980 by Peter J Cameron( Book )

28 editions published between 1981 and 2011 in English and held by 346 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( Book )

20 editions published between 1990 and 2009 in English and Undetermined and held by 306 WorldCat member libraries worldwide

3.3 Some primitive groups3.4 Homogeneity and transitivity; 3.5 fn = fn + 1; 3.6 Growth rates; 3.7 Appendix: Cycle index; 3.8 Appendix: A graded algebra; 4 Subgroups; 4.1 Beginnings; 4.2 A theorem of Macpherson; 4.3 The random graph revisited; 4.4 Measure, continued; 4.5 Category; 4.6 Multicoloured sets; 4.7 Almost all automorphisms?; 4.8 Subgroups of small index; 4.9 Normal subgroups; 4.10 Appendix: The tree of an age; 5. Miscellaneous topics; 5.1 Jordan groups; 5.2 Going forth; 5.3 No-categorical, unstable structures; 5.4 An example; 5.5 Another example; 5.6 Oligomorphic projective groups
Combinatorial surveys : proceedings of the Sixth British Combinatorial Conference by British Combinatorial Conference( Book )

18 editions published in 1977 in English and held by 255 WorldCat member libraries worldwide

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

5 editions published between 2010 and 2017 in English and held by 60 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 )

9 editions published between 1992 and 2016 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

Topics in algebraic graph theory by Lowell W Beineke( Book )

8 editions published between 2004 and 2007 in English and held by 12 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
Teorija grafov, teorija kodirovanija i blok-schemy by Peter J Cameron( Book )

4 editions published in 1980 in Russian and held by 10 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

Parallelisms of complete designs by Peter J Cameron( )

1 edition published in 1976 in English and held by 6 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
Graph theory, coding theory, and block designs by Peter J Cameron( )

1 edition published in 1975 in English and held by 6 WorldCat member libraries worldwide

These are notes deriving from lecture courses given by the authors in 1973 at Westfield College, London. The lectures described the connection between the theory of t-designs on the one hand, and graph theory on the other. A feature of this book is the discussion of then-recent construction of t-designs from codes. Topics from a wide range of finite combinatorics are covered and the book will interest all scholars of combinatorial theory
Oligomorphic permutation groups by Peter J Cameron( )

1 edition published in 1990 in English and held by 6 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
 
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Combinatorics : topics, techniques, algorithms
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.

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Камерон, П..

Питер Камерон

پیتر کامرون

Languages
English (281)

Russian (4)

Spanish (1)

Covers
Introduction to algebraGraph theory, coding theory, and block designsGraphs, codes, and designsParallelisms of complete designsDesigns, graphs, codes, and their linksPermutation groupsSets, logic, and categoriesFinite geometries and designs : proceedings of the second Isle of Thorns conference 1980