Algebra and Combinatorics
Algebra is one of the fundamental disciplines
of mathematics and an algebraic way of thinking is pervasive in much
of mathematics. Many mathematical and physical phenomena can be
described by one of the many algebraic structures, such as groups,
rings, fields, modules and vector spaces. 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 the 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 theory and practice of computation is based.
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Last update: 25 August 2015