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2000, XIII, 210 p. 5 illus.
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G.A. Jones, J.M. Jones
Information and Coding Theory
Series: Springer Undergraduate Mathematics Series
▶ Written by the authors of "Elementary Number Theory", a hugely
popular SUMS title
▶ Information and Coding Theory are increasingly popular topics in
undergraduate curricula: this is the first book to cover both topics in-
depth in one volume
As this Preface is being written, the twentieth century is coming to an end. Historians
may perhaps come to refer to it as the century of information, just as its predecessor is
associated with the process of industrialisation. Successive technological developments
such as the telephone, radio, television, computers and the Internet have had profound
effects on the way we live. We can see pic tures of the surface of Mars or the early shapeof the Universe. The contents of a whole shelf-load of library books can be compressed
onto an almost weight less piece of plastic. Billions of people can watch the same football
match, or can keep in instant touch with friends around the world without leaving
home. In short, massive amounts of information can now be stored, transmitted and
processed, with surprising speed, accuracy and economy. Of course, these developments
do not happen without some theoretical ba sis, and as is so often the case, much of
this is provided by mathematics. Many of the first mathematical advances in this area
were made in the mid-twentieth century by engineers, often relying on intuition and
experience rather than a deep theoretical knowledge to lead them to their discoveries.
Soon the math ematicians, delighted to see new applications for their subject, joined in
and developed the engineers' practical examples into wide-ranging theories, com pletewith definitions, theorems and proofs.
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