Abstract Algebra: Applications to Galois Theory, Algebraic...

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

Name: Abstract Algebra: Applications to Galois Theory, Algebraic Geometry, Representation Theory and Cryptography: Second Edition
ISBN: 9783110603934

Celine Carstensen-Opitz, Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger

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Main subject categories: • Abstract Algebra • Number Theory • Field Theory • Commutative Algebra • Algebraic Geometry • Associative Rings and Algebras • Group Theory • Ordinary Representations and Characters • History and Biography • General Algebraic Systems • Information and Communication Theory

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

Категории:

Mathematics - Algebra

Година:

2019

Издание:

Издателство:

De Gruyter, Walter de Gruyter GmbH

Език:

english