Biggs, Norman
Overview
Works:  41 works in 391 publications in 5 languages and 9,161 library holdings 

Genres:  History Sources Conference papers and proceedings Catalogs 
Roles:  Author 
Classifications:  QA166, 512.2 
Publication Timeline
.
Most widely held works by
Norman Biggs
Discrete mathematics by
Norman Biggs(
Book
)
86 editions published between 1985 and 2012 in 4 languages and held by 1,392 WorldCat member libraries worldwide
"This book provides a carefully structured, coherent, and comprehensive course of Discrete Mathematics. The clarity of the exposition, and the scope of the contents has made it a popular choice for students and teachers of mathematics, computer science, operational research, and related subjects. The topics covered include the elements of graph theory, combinatorics, number theory, the theory of algorithms, abstract algebra, and coding theory."BOOK JACKET
86 editions published between 1985 and 2012 in 4 languages and held by 1,392 WorldCat member libraries worldwide
"This book provides a carefully structured, coherent, and comprehensive course of Discrete Mathematics. The clarity of the exposition, and the scope of the contents has made it a popular choice for students and teachers of mathematics, computer science, operational research, and related subjects. The topics covered include the elements of graph theory, combinatorics, number theory, the theory of algorithms, abstract algebra, and coding theory."BOOK JACKET
Algebraic graph theory by
Norman Biggs(
Book
)
46 editions published between 1973 and 2001 in English and Undetermined and held by 1,006 WorldCat member libraries worldwide
In this substantial revision of a muchquoted monograph first published in 1974, Dr. Biggs aims to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first section, he tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic constructions such as adjacency matrix and the incidence matrix and their applications are discussed in depth. There follows an extensive account of the theory of chromatic polynomials, a subject that has strong links with the "interaction models" studied in theoretical physics, and the theory of knots. The last part deals with symmetry and regularity properties. Here there are important connections with other branches of algebraic combinatorics and group theory. The structure of the volume is unchanged, but the text has been clarified and the notation brought into line with current practice. A large number of "Additional Results" are included at the end of each chapter, thereby covering most of the major advances in the past twenty years. This new and enlarged edition will be essential reading for a wide range of mathematicians, computer scientists and theoretical physicists
46 editions published between 1973 and 2001 in English and Undetermined and held by 1,006 WorldCat member libraries worldwide
In this substantial revision of a muchquoted monograph first published in 1974, Dr. Biggs aims to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first section, he tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic constructions such as adjacency matrix and the incidence matrix and their applications are discussed in depth. There follows an extensive account of the theory of chromatic polynomials, a subject that has strong links with the "interaction models" studied in theoretical physics, and the theory of knots. The last part deals with symmetry and regularity properties. Here there are important connections with other branches of algebraic combinatorics and group theory. The structure of the volume is unchanged, but the text has been clarified and the notation brought into line with current practice. A large number of "Additional Results" are included at the end of each chapter, thereby covering most of the major advances in the past twenty years. This new and enlarged edition will be essential reading for a wide range of mathematicians, computer scientists and theoretical physicists
Graph theory 17361936 by
Norman Biggs(
Book
)
42 editions published between 1976 and 2006 in 3 languages and held by 995 WorldCat member libraries worldwide
42 editions published between 1976 and 2006 in 3 languages and held by 995 WorldCat member libraries worldwide
Mathematics for economics and finance : methods and modelling by
Martin Anthony(
Book
)
46 editions published between 1996 and 2014 in 3 languages and held by 722 WorldCat member libraries worldwide
"Without expecting any particular background of the reader, this book covers the following mathematical topics with frequent reference to applications in economics and finance, Functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, firstorder and secondorder differential equations. Throughout, the stress is firmly on how the mathematics relates to economics, and this is illustrated with copious examples and exercises that will foster depth of understanding. Each chapter has three parts: the main text, where key concepts are developed; a section of further worked examples, where sample problems are fully solved; a summary of the chapter together with a selection of problems for the reader to attempt." "For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth."Jacket
46 editions published between 1996 and 2014 in 3 languages and held by 722 WorldCat member libraries worldwide
"Without expecting any particular background of the reader, this book covers the following mathematical topics with frequent reference to applications in economics and finance, Functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, firstorder and secondorder differential equations. Throughout, the stress is firmly on how the mathematics relates to economics, and this is illustrated with copious examples and exercises that will foster depth of understanding. Each chapter has three parts: the main text, where key concepts are developed; a section of further worked examples, where sample problems are fully solved; a summary of the chapter together with a selection of problems for the reader to attempt." "For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth."Jacket
Permutation groups and combinatorial structures by
Norman Biggs(
Book
)
20 editions published between 1979 and 2008 in English and held by 497 WorldCat member libraries worldwide
Cover; Title; Copyright; Contents; Introduction; Note on the Projects; Chapter 1 Permutation Groups; 1.1 Preliminary definitions; 1.2 Counting principles; 1.3 Transitivity; 1.4 Applications to group theory; 1.5 Extensions of multiply transitive groups; 1.6 Primitivity; 1.7 Regular normal subgroups; 1.8 Project: Proof of SylowTs theorem; 1.9 Project: Some multiply transitive groups; Notes and references; Chapter 2 Finite Geometries; 2.1 Introduction; 2.2 Finite fields; 2.3 Finite vector spaces; 2.4 The structure of GL(V) and SL(V); 2.5 Projective spaces and their groups
20 editions published between 1979 and 2008 in English and held by 497 WorldCat member libraries worldwide
Cover; Title; Copyright; Contents; Introduction; Note on the Projects; Chapter 1 Permutation Groups; 1.1 Preliminary definitions; 1.2 Counting principles; 1.3 Transitivity; 1.4 Applications to group theory; 1.5 Extensions of multiply transitive groups; 1.6 Primitivity; 1.7 Regular normal subgroups; 1.8 Project: Proof of SylowTs theorem; 1.9 Project: Some multiply transitive groups; Notes and references; Chapter 2 Finite Geometries; 2.1 Introduction; 2.2 Finite fields; 2.3 Finite vector spaces; 2.4 The structure of GL(V) and SL(V); 2.5 Projective spaces and their groups
Finite groups of automorphisms; course given at the University of Southampton, OctoberDecember 1969 by
Norman Biggs(
Book
)
23 editions published between 1071 and 1971 in English and held by 434 WorldCat member libraries worldwide
23 editions published between 1071 and 1971 in English and held by 434 WorldCat member libraries worldwide
Computational learning theory : an introduction by
Martin Anthony(
Book
)
19 editions published between 1992 and 1997 in English and Undetermined and held by 379 WorldCat member libraries worldwide
Concepts, hypotheses, learning algorithms  Boolean formulae and representations  Probabilistic learning  Consistent algorithms and learnability  Efficient learning  The VC dimension  Learning and the VC dimension  VC dimension and efficient learning  Linear threshold networks
19 editions published between 1992 and 1997 in English and Undetermined and held by 379 WorldCat member libraries worldwide
Concepts, hypotheses, learning algorithms  Boolean formulae and representations  Probabilistic learning  Consistent algorithms and learnability  Efficient learning  The VC dimension  Learning and the VC dimension  VC dimension and efficient learning  Linear threshold networks
Interaction models : course given at Royal Holloway College, University of London, OctoberDecember 1976 by
Norman Biggs(
Book
)
25 editions published between 1977 and 2008 in 3 languages and held by 366 WorldCat member libraries worldwide
Cover; Title; Copyright; Contents; Chapter 1 Preview; 1.1 Apologia; 1.2 States on a graph; 1.3 Interaction models; 1.4 Physical background; 1.5 Transition points; Notes and references; Chapter 2 Methods; 2.1 Resonant models; 2.2 The transfer matrix; 2.3 Applications of the trace formula; 2.4 Correlation functions; Notes and references; Chapter 3 Duality; 3.1 Flows on a graph; 3.2 Dual models; 3.3 The algebraic duality theorem; 3.4 Planarity and duality; 3.5 Transition points for planar graphs; Notes and references; Chapter 4 Expansions; 4.1 Graph types; 4.2 The subgraph counting problem
25 editions published between 1977 and 2008 in 3 languages and held by 366 WorldCat member libraries worldwide
Cover; Title; Copyright; Contents; Chapter 1 Preview; 1.1 Apologia; 1.2 States on a graph; 1.3 Interaction models; 1.4 Physical background; 1.5 Transition points; Notes and references; Chapter 2 Methods; 2.1 Resonant models; 2.2 The transfer matrix; 2.3 Applications of the trace formula; 2.4 Correlation functions; Notes and references; Chapter 3 Duality; 3.1 Flows on a graph; 3.2 Dual models; 3.3 The algebraic duality theorem; 3.4 Planarity and duality; 3.5 Transition points for planar graphs; Notes and references; Chapter 4 Expansions; 4.1 Graph types; 4.2 The subgraph counting problem
Codes : an introduction to information communication and cryptography by
Norman Biggs(
Book
)
19 editions published in 2008 in English and held by 296 WorldCat member libraries worldwide
"This book is an integrated introduction to the mathematics of coding, that is, replacing information expressed in symbols, such as a natural language or a sequence of bits, by another message using (possibly) different symbols. There are three main reasons for doing this: economy, reliability, and security, and each is covered in detail. Only a modest mathematical background is assumed, the mathematical theory being introduced at a level that enables the basic problems to be stated carefully, but without unnecessary abstraction."Jacket
19 editions published in 2008 in English and held by 296 WorldCat member libraries worldwide
"This book is an integrated introduction to the mathematics of coding, that is, replacing information expressed in symbols, such as a natural language or a sequence of bits, by another message using (possibly) different symbols. There are three main reasons for doing this: economy, reliability, and security, and each is covered in detail. Only a modest mathematical background is assumed, the mathematical theory being introduced at a level that enables the basic problems to be stated carefully, but without unnecessary abstraction."Jacket
Introduction to computing with Pascal by
Norman Biggs(
Book
)
8 editions published in 1989 in English and held by 242 WorldCat member libraries worldwide
8 editions published in 1989 in English and held by 242 WorldCat member libraries worldwide
Quite right : the story of mathematics, measurement, and money by
Norman Biggs(
Book
)
6 editions published in 2016 in English and held by 123 WorldCat member libraries worldwide
"My aim is to explain how mathematical ideas evolved in response to the growing levels of organization in human societies, from prehistoric times to the present day"
6 editions published in 2016 in English and held by 123 WorldCat member libraries worldwide
"My aim is to explain how mathematical ideas evolved in response to the growing levels of organization in human societies, from prehistoric times to the present day"
Combinatorics : the proceedings of the British Combinatorical Conference held in the University College of Wales, Aberystwyth,
26 July 1973 by
British Combinatorial Conference(
Book
)
5 editions published in 1974 in English and held by 20 WorldCat member libraries worldwide
5 editions published in 1974 in English and held by 20 WorldCat member libraries worldwide
Matemáticas para la economía y las finanzas : una introcción by
Martin Anthony(
Book
)
3 editions published in 2001 in Spanish and held by 19 WorldCat member libraries worldwide
3 editions published in 2001 in Spanish and held by 19 WorldCat member libraries worldwide
English weights : an illustrated survey by
Norman Biggs(
Book
)
4 editions published between 1992 and 1993 in English and held by 19 WorldCat member libraries worldwide
4 editions published between 1992 and 1993 in English and held by 19 WorldCat member libraries worldwide
Exchange rates and the matrixtree theorem by
Norman Biggs(
Book
)
4 editions published between 1992 and 1994 in English and held by 14 WorldCat member libraries worldwide
4 editions published between 1992 and 1994 in English and held by 14 WorldCat member libraries worldwide
Bullion weights : an outline catalogue by
Norman Biggs(
Book
)
2 editions published in 1995 in English and held by 11 WorldCat member libraries worldwide
2 editions published in 1995 in English and held by 11 WorldCat member libraries worldwide
Codes an introduction to information communication and cryptography by
Norman Biggs(
)
2 editions published in 2008 in English and held by 10 WorldCat member libraries worldwide
2 editions published in 2008 in English and held by 10 WorldCat member libraries worldwide
Verification marks on weights : the administrative background by
Norman Biggs(
Book
)
1 edition published in 1996 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 8 WorldCat member libraries worldwide
Lead weights : the David Rogers Collection by
Norman Biggs(
Book
)
4 editions published in 2000 in English and held by 8 WorldCat member libraries worldwide
4 editions published in 2000 in English and held by 8 WorldCat member libraries worldwide
Antique weights : the nineteenth century by
Norman Biggs(
Book
)
3 editions published in 1998 in English and held by 7 WorldCat member libraries worldwide
3 editions published in 1998 in English and held by 7 WorldCat member libraries worldwide
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Artificial intelligence Business mathematics Coding theory Combinatorial analysis Computational learning theory Computer programming Computer science Computer scienceMathematics Cryptography Data structures (Computer science) Economics Economics, Mathematical England Finance FinanceMathematical models Finite groups Foreign exchange ratesEconometric models Foreign exchange ratesMathematical models Graph theory Great Britain Machine learning Mathematical models Mathematics MathematicsSocial aspects Number theory Pascal (Computer program language) Permutation groups Phase transformations (Statistical physics) Precious metalsWeights and measures Taxation Telecommunication Weighing instruments Weights and measures
Alternative Names
Biggs, N.
Biggs, N. L.
Biggs, N.L. 1941
Biggs, N. L. (Norman L.)
Biggs, N. L. (Norman Linstead)
Biggs, Norman.
Biggs, Norman 1941
Biggs, Norman L.
Biggs, Norman L. 1941
Biggs, Norman L. (Norman Linstead), 1941
Biggs, Norman Linstead
Biggs, Norman Linstead 1941
Linstead Biggs, Norman 1941
Norman L. Biggs Mathematician, algebraist
ノルマン・Ｌ・ビッグス
ビッグス, N. L
ビッグス, ノーマン
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