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Books > Reference & Interdisciplinary > Communication studies > Coding theory & cryptology
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Codes: An Introduction to Information Communication and Cryptography (Paperback, 2008 ed.)
Loot Price: R1,065
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Codes: An Introduction to Information Communication and Cryptography (Paperback, 2008 ed.)
Series: Springer Undergraduate Mathematics Series
Expected to ship within 10 - 15 working days
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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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