The first semester of Modern Algebra (group theory) is the prerequisite for this course. Syllabus: Rings and commutative rings. Rings of polynomials, residues modulo n and other examples. Matrix rings ...

To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching. Computer algebra systems are now ubiquitous in all areas of science and ...

Fields and Galois Theory, by John Howie (pdf via Columbia Library). Howie covers essentially the same material as Rotman at a more leisurely pace. Abstract Algebra: Theory and Applications, by Thomas ...

Group theory - basic properties, permutation groups, finite Abelian groups, cosets, normal subgroups, homomorphism theorems, representation. Ring theory - integral domains and fields, ideals, ...

The related concepts of an invariant subgroup and an ideal in a ring are brought in and the reader introduced to vector spaces and Boolean algebra. The theorems behind the abstract work and the ...

IN HONOUR OF Maths Week, as is our annual tradition, we’re setting our readers some puzzles. Give them a go! Arithmetic deals ...

Abstract: This paper offers an epistemological reconstruction of the historical development of algebra from al-Khwārizmī, Cardano, and Descartes to Euler, Lagrange, and Galois. In the reconstruction ...