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94: Information and communication, circuits


Introduction

Information and communication includes questions of particular interest to algebraists, especially coding theory (related to linear algebra and finite groups) and encryption (related to number theory and combinatorics). Many topics appropriate to this area can be expressed in graph-theoretic terms, such as network flows and circuit design. Data compression and visualization overlap with statistics.

History

This year (1998) marks the fiftieth anniversary of the discipline, measured from the appearance of Shannon's papers. Neil Sloane writes, " Claude Shannon's ``A mathematical theory of communication'' was first published in two parts in the July and October 1948 editions of the Bell System Technical Journal " and has made the papers (as well as a discussion of their importance) available over the Internet.

Applications and related fields

[Schematic of subareas and related areas]

Subfields

Browse all (old) classifications for this area at the AMS.


Textbooks, reference works, and tutorials

De Bruyn, Kristien. "What is information theory?", Bull. Soc. Math. Belg. Sér. B 36 (1984), 215--234. MR86g:94001

Ross Williams has written a Painless Guide to CRC Error Detection Algorithms.

Among the appropriate newsgroups are sci.crypt, sci.electronics.design, and comp.arch.embedded.

Software and tables

Other web sites with this focus

Selected topics at this site


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Last modified 2000/01/14 by Dave Rusin. Mail: