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 theories and practices of computation are based.
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Last update: 14 April 2015