Biggs, Norman
Overview
Works:  38 works in 325 publications in 5 languages and 8,098 library holdings 

Genres:  Sources History Conference proceedings 
Roles:  Author 
Classifications:  QA166, 536.401 
Publication Timeline
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Most widely held works by
Norman Biggs
Discrete mathematics
by
Norman Biggs(
Book
)
89 editions published between 1985 and 2012 in 4 languages and held by 1,342 WorldCat member libraries worldwide
This muchawaited new edition of Biggs' bestselling text includes new chapters on statements and proof, logical framework, and natural numbers and the integers, in addition to updated chapters, over 1000 tailored exercises and an accompanying website containing hints and solutions to all exercises. The text is designed explicitly for mathematicians and computer scientists seeking a first approach to this important topic
89 editions published between 1985 and 2012 in 4 languages and held by 1,342 WorldCat member libraries worldwide
This muchawaited new edition of Biggs' bestselling text includes new chapters on statements and proof, logical framework, and natural numbers and the integers, in addition to updated chapters, over 1000 tailored exercises and an accompanying website containing hints and solutions to all exercises. The text is designed explicitly for mathematicians and computer scientists seeking a first approach to this important topic
Interaction models course given at Royal Holloway College, University of London, OctoberDecember 1976
by
Norman Biggs(
)
18 editions published in 1977 in English and held by 1,282 WorldCat member libraries worldwide
This book is based on a set of lectures given to a mixed audience of physicists and mathematicians
18 editions published in 1977 in English and held by 1,282 WorldCat member libraries worldwide
This book is based on a set of lectures given to a mixed audience of physicists and mathematicians
Permutation groups and combinatorial structures
by
Norman Biggs(
)
14 editions published between 1977 and 2008 in English and held by 1,010 WorldCat member libraries worldwide
The subject of this book is the action of permutation groups on sets associated with combinatorial structures
14 editions published between 1977 and 2008 in English and held by 1,010 WorldCat member libraries worldwide
The subject of this book is the action of permutation groups on sets associated with combinatorial structures
Algebraic graph theory
by
Norman Biggs(
Book
)
40 editions published between 1973 and 2001 in English and Undetermined and held by 1,001 WorldCat member libraries worldwide
40 editions published between 1973 and 2001 in English and Undetermined and held by 1,001 WorldCat member libraries worldwide
Graph theory 17361936
by
Norman Biggs(
Book
)
32 editions published between 1976 and 2006 in 3 languages and held by 976 WorldCat member libraries worldwide
32 editions published between 1976 and 2006 in 3 languages and held by 976 WorldCat member libraries worldwide
Mathematics for economics and finance : methods and modelling
by
Martin Anthony(
Book
)
45 editions published between 1996 and 2012 in 3 languages and held by 800 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
45 editions published between 1996 and 2012 in 3 languages and held by 800 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
Codes an introduction to information communication and cryptography
by
Norman Biggs(
)
13 editions published in 2008 in English and held by 604 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
13 editions published in 2008 in English and held by 604 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
Finite groups of automorphisms; course given at the University of Southampton, OctoberDecember 1969
by
Norman Biggs(
Book
)
19 editions published between 1071 and 1971 in English and held by 409 WorldCat member libraries worldwide
19 editions published between 1071 and 1971 in English and held by 409 WorldCat member libraries worldwide
Computational learning theory : an introduction
by
Martin Anthony(
Book
)
17 editions published between 1992 and 1997 in English and Undetermined and held by 348 WorldCat member libraries worldwide
17 editions published between 1992 and 1997 in English and Undetermined and held by 348 WorldCat member libraries worldwide
Introduction to computing with Pascal
by
Norman Biggs(
Book
)
6 editions published in 1989 in English and held by 258 WorldCat member libraries worldwide
6 editions published in 1989 in English and held by 258 WorldCat member libraries worldwide
Bullion weights : an outline catalogue
by
Norman Biggs(
Book
)
2 editions published in 1995 in English and held by 12 WorldCat member libraries worldwide
2 editions published in 1995 in English and held by 12 WorldCat member libraries worldwide
Combinatorics the proceedings of the British Combinatorical Conference held in the University College of Wales, Aberystwyth, 26 July 1973
by
British Combinatorial Conference(
Book
)
3 editions published in 1974 in English and held by 12 WorldCat member libraries worldwide
3 editions published in 1974 in English and held by 12 WorldCat member libraries worldwide
Exchange rates and the matrixtree theorem
by
Norman Biggs(
Book
)
2 editions published between 1992 and 1994 in English and held by 10 WorldCat member libraries worldwide
2 editions published between 1992 and 1994 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
Combinatorics : the proceedings of the (fourth) British combinatorial conference : Aberystwyth, 26 July 1973
(
Book
)
1 edition published in 1974 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1974 in English and held by 4 WorldCat member libraries worldwide
Finite groups of automorphisms
by
Norman Biggs(
Book
)
1 edition published in 1969 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1969 in Undetermined and held by 1 WorldCat member library worldwide
The spectral radius of infinite graphs
by
Norman Biggs(
)
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
For a $k$regular infinite graph $G$ some inequalities between the spectral radius $\rho(G)$ and the isoperimetric number $i(G)$ are derived. If $i(G) = 0$ then $\rho(G) = k$. If $\rho(G) < k$ then $G$ has exponential growth. Also $i(G) \ge 4(k\rho(G))/k$ and $i(G) \le ki^2(G)/2k$
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
For a $k$regular infinite graph $G$ some inequalities between the spectral radius $\rho(G)$ and the isoperimetric number $i(G)$ are derived. If $i(G) = 0$ then $\rho(G) = k$. If $\rho(G) < k$ then $G$ has exponential growth. Also $i(G) \ge 4(k\rho(G))/k$ and $i(G) \le ki^2(G)/2k$
Exchange rates and the matrixtree theorem
(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Strongly regular graphs with no triangles
by
Norman Biggs(
)
1 edition published in 2009 in Undetermined and held by 1 WorldCat member library worldwide
A simplified version of the theory of strongly regular graphs is developed for the case in which the graphs have no triangles. This leads to (i) direct proofs of the Krein conditions, and (ii) the characterization of strongly regular graphs with no triangles such that the second subconstituent is also strongly regular. The method also provides an effective means of listing feasible parameters for such graphs
1 edition published in 2009 in Undetermined and held by 1 WorldCat member library worldwide
A simplified version of the theory of strongly regular graphs is developed for the case in which the graphs have no triangles. This leads to (i) direct proofs of the Krein conditions, and (ii) the characterization of strongly regular graphs with no triangles such that the second subconstituent is also strongly regular. The method also provides an effective means of listing feasible parameters for such graphs
Zhi huan qun yu zu he jie gou
by
Norman Biggs(
)
1 edition published in 1987 in Chinese and held by 1 WorldCat member library worldwide
1 edition published in 1987 in Chinese and held by 1 WorldCat member library 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 EconomicsMathematical models England Finance FinanceMathematical models Finite groups Graph theory Machine learning Mathematical models Mathematics Number theory Pascal (Computer program language) Permutation groups Phase transformations (Statistical physics) Precious metalsWeights and measures Taxation Telecommunication 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
ビッグス, N. L
ビッグス, ノーマン
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