Algebra and Combinatorics
Algebra is one of fundamental disciplines of mathematics and an algebraic way of thinking is pervasive in much of mathematics. Many mathematical and physical phenomenon can be described by one of the many algebraic structures, such as groups, rings, fields, modules and vectorspaces. Applications are numerous and include computer graphics (as an application of algebraic geometry) and coding/cryptography (as an application of number theory).
Combinatorics has been an increasingly important part of mathematics in latter half of the twentieth century. The proliferation of computer technology has only accelerated this trend, since combinatorics and discrete mathematics provide the foundations on which the theories and sractices of computation are based.
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Last update: 10 January 2012