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Further Algebra and Applications is the second volume of a new and revised edition of P.M. Cohn's classic three-volume text "Algebra" which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students. The first volume, "Basic Algebra", covers the important results of algebra; this companion volume focuses on the applications and covers the more advanced parts of topics such as: - groups and algebras - homological algebra - universal algebra - general ring theory - representations of finite groups - coding theory - languages and automata The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks.

Algebra. --- 512.5 --- 512.5 General algebra --- General algebra --- Algebra --- Mathematics --- Mathematical analysis --- Field theory (Physics). --- Ordered algebraic structures. --- Applied mathematics. --- Engineering mathematics. --- Field Theory and Polynomials. --- Order, Lattices, Ordered Algebraic Structures. --- Applications of Mathematics. --- Engineering --- Engineering analysis --- Algebraic structures, Ordered --- Structures, Ordered algebraic --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics