Introduction to Algebra

Developed to meet the needs of modern students, this Second\nEdition of the classic algebra text by Peter Cameron covers all the\nabstract algebra an undergraduate student is likely to need.\nStarting with an introductory overview of numbers, sets and\nfunctions, matrices, polynomials, and modular arithmetic, the text\nthen introduces the most important algebraic structures: groups,\nrings and fields, and their properties. This is followed by\ncoverage of vector spaces and modules with applications to abelian\ngroups and canonical forms before returning to the construction of\nthe number systems, including the existence of transcendental\nnumbers. The final chapters take the reader further into the theory\nof groups, rings and fields, coding theory, and Galois theory. With\nover 300 exercises, and web-based solutions, this is an ideal\nintroductory text for Year 1 and 2 undergraduate students in\nmathematics.

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