Ebook: Abstract Algebra: Applications to Galois Theory, Algebraic Geometry, Representation Theory and Cryptography

A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations and it also includes a chapter on cryptography. End of chapter problems help readers with accessing the subjects.

• Covering topics not found in competing works: Free groups, module theory, extensions of rings
• New chapter about Groups, Algebras and Representations
• New section about the hot topic Combinatorial and geometric group theory