Norman L. Biggs's Books

Discrete Mathematics

By: Norman Biggs

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Discrete mathematics is a compulsory subject for undergraduate computer scientists. This new edition includes new chapters on statements and proof, logical framework, natural numbers and the integers and updated exercises from the previous edition.

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444

Publisher

Oxford University Press

Published Date

ISBN 10

0198507178

ISBN 13

9780198507178

Codes: An Introduction to Information Communication and Cryptography

By: Norman L. Biggs

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Codes: An Introduction to Information Communication and Cryptography

By: Norman L. Biggs

Many people do not realise that mathematics provides the foundation for the devices we use to handle information in the modern world. Most of those who do know probably think that the parts of mathematics involvedare quite ‘cl- sical’, such as Fourier analysis and di?erential equations. In fact, a great deal of the mathematical background is part of what used to be called ‘pure’ ma- ematics, indicating that it was created in order to deal with problems that originated within mathematics itself. It has taken many years for mathema- cians to come to terms with this situation, and some of them are still not entirely happy about it. Thisbookisanintegratedintroductionto Coding.Bythis Imeanreplacing symbolic information, such as a sequence of bits or a message written in a naturallanguage,byanother messageusing (possibly) di?erentsymbols.There are three main reasons for doing this: Economy (data compression), Reliability (correction of errors), and Security (cryptography). I have tried to cover each of these three areas in su?cient depth so that the reader can grasp the basic problems and go on to more advanced study. The mathematical theory is introduced in a way that enables the basic problems to bestatedcarefully,butwithoutunnecessaryabstraction.Theprerequisites(sets andfunctions,matrices,?niteprobability)shouldbefamiliartoanyonewhohas taken a standard course in mathematical methods or discrete mathematics. A course in elementary abstract algebra and/or number theory would be helpful, but the book contains the essential facts, and readers without this background should be able to understand what is going on. vi Thereareafewplaceswherereferenceismadetocomputeralgebrasystems.

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274

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1848002734

ISBN 13

9781848002739

Mathematics for Economics and Finance

Methods and Modelling

By: Martin Anthony,Norman Biggs

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Mathematics for Economics and Finance

Methods and Modelling

By: Martin Anthony,Norman Biggs

Mathematics has become indispensable in the modelling of economics, finance, business and management. 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, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and 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.

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Page Count

414

Publisher

Cambridge University Press

Published Date

ISBN 10

0521559138

ISBN 13

9780521559133

Graph Theory, 1736-1936

By: Norman Biggs,E. Keith Lloyd,Robin J. Wilson

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Graph Theory, 1736-1936

By: Norman Biggs,E. Keith Lloyd,Robin J. Wilson

First published in 1976, this book has been widely acclaimed as a major and enlivening contribution to the history of mathematics. The updated and corrected paperback contains extracts from the original writings of mathematicians who contributed to the foundations of graph theory. The author's commentary links each piece historically and frames the whole with explanations of the relevant mathematical terminology and notation.

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Page Count

260

Publisher

Oxford University Press

Published Date

ISBN 10

0198539169

ISBN 13

9780198539162

Book's by Norman L. Biggs

Discrete Mathematics

Discrete Mathematics

Codes: An Introduction to Information Communication and Cryptography

Codes: An Introduction to Information Communication and Cryptography

Mathematics for Economics and Finance

Mathematics for Economics and Finance

Graph Theory, 1736-1936

Graph Theory, 1736-1936

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