This two-volume course on abstract algebra provides a broad introduction to the subject for those with no previous knowledge of it but who are well grounded in ordinary algebraic techniques. It starts ...

The search for good error-control codes has relied to a large extent on the structures of abstract algebra, such as the structures of groups, rings, Galois fields, and polynomials over Galois fields.

One mathematician has helped to prove both one of these and another problem just this year.

The course is an introduction to the use of formal definitions and proofs in mathematics, and to basic results of elementary set theory, number theory, linear algebra, algebra and analysis. Specific ...

Nick Gurski, Case Western Reserve University ‘This is a great introduction to abstract algebra for graduate students and mathematically mature undergraduates.' Thomas Garrity, Williams College ...

Representation theory transforms abstract algebra groups into things like simpler matrices. The field’s founder left a list of 43 problems for others to study, iterate on, and prove. One ...