The long-awaited second edition of Norman Bigg's best-selling Discrete Mathematics, includes new chapters on statements and proof, logical framework, natural numbers, and the integers, in addition to updated chapters from the previous edition. Carefully structured, coherent and comprehensive, each chapter contains tailored exercises and solutions to selected questions, and miscellaneous exercises are presented throughout. This is an invaluable text for students seeking a clear introduction to discrete mathematics, graph theory, combinatorics, number theory and abstract algebra.

Discrete Mathematics

Computers & Technology

Biggs, Norman

Computer Science

Oxford University Press

Mathematics didn't spring spontaneously to life, rules and definitions set in stone for all time. Its progress story has rich connections with measurement and money that have often shaped its development and driven its progress, a process that continues to this day. Quite Right explains how simple mathematical ideas have evolved all the way from prehistoric times so that they pervade almost every aspect of life in the 21st century. Most histories of mathematics look at the narrow role of professional mathematicians through the ages. Professor Biggs' sweeping tale is far wider. Making use of new discoveries of artefacts and documents, he reveals the part that mathematics has played in the human story and reflects on the nature of mathematics itself. The story reveals the power and beauty of mathematical concepts, which often belie their utilitarian origins. The twin paradigms of logical justification and algorithmic calculation recur throughout the book. Another theme is the relationship between mathematics and measurement of all kinds. No other book covers money and measurement in this way.Includes sections on:-- The origins of banking and interest in ancient Mesopotamia-- Using mathematics to keep secrets in medieval times-- The impact of tax and trade on the development of mathematics-- Financial speculation in our information age-- The role mathematics plays today in keeping you safeQuite Right is a fascinating story, suitable for anyone interested in the foundations of the mathematical world we live in.Norman Biggs is Professor (Emeritus) of Mathematics at the London School of Economics. He is the author of 12 books, including a perennial best-selling book Discrete Mathematics (Oxford University Press). He has a special interest in measurement and was Chair of the International Society of Weights and Scales Collectors from 2009-14. He served as a Vice President of the British Society for the History of Mathematics in 2014 and is an active member of the British Numismatic Society.  'This is a history of mathematics book with a difference. Instead of the usual chronological sequence of events, presented with mathematical hindsight (interpreting mathematical achievements from a modern point of view), this book tries to see things more from the context of the time - presenting the topics thematically rather than strictly chronologically, and including results and problems only when they fit into the themes EL the level of exposition is first-rate, with a far greater fluency than most mathematical writers can attain EL I am very happy to recommend it wholeheartedly.' Professor Robin Wilson, University of Oxford

Quite Right: The Story of Mathematics, Measurement and Money

Science & Math

History & Philosophy

Finite Groups of Automorphisms: Course given at the University of Southampton, October-December 1969 (London Mathematical Society Lecture Note Series)

Finite Groups of Automorphisms: Course given at the University of Southampton, October-December 1969 (London Mathematical Society Lecture Note Series, Series Number 6)

Mathematics

Cambridge University Press

Algebraic Graph Theory (Cambridge Mathematical Library)

In this substantial revision of a much-quoted 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.

In this substantial revision of a much-quoted 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.

Without expecting any particular background of the reader, this book covers graphs and relations, sequences and limits, partial derivatives, optimization, vectors, and matrix algebra. 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.

Mathematics for Economics and Finance: Methods and Modelling

Business & Money

Anthony, Martin

Economics

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Books by Biggs, Norman

See the best price to sell, buy, or rent books by Biggs, Norman. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Discrete Mathematics

Quite Right: The Story of Mathematics, Measurement and Money

Finite Groups of Automorphisms: Course given at the University of Southampton, October-December 1969 (London Mathematical Society Lecture Note Series, Series Number 6)

Algebraic Graph Theory (Cambridge Mathematical Library)

Algebraic Graph Theory (Cambridge Mathematical Library)

Mathematics for Economics and Finance: Methods and Modelling

Mathematics for Economics and Finance: Methods and Modelling

Mathematics for Economics and Finance: Methods and Modelling