Guide Introduction to Abstract Algebra

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In twelve chapters, the author explains the main topics in abstract algebra with many useful examples.

An Introduction to Abstract Algebra

The first two chapters introduce fundamental concepts set, class, properties of integers, GCD, Euclidean algorithm, the fundamental theorem of arithmetics. The concept of a group is explored in Chapters 3, 4, 5 and 9. The exposition follows a historical development, and the author uses the group of permutations as a motivating example.

MATHEMATICS OPTIONAL - Introduction to Abstract Algebra

Group actions are used to investigate the group structure. Algebraic structures with two binary operations are introduced in Chapter 6: rings, Euclidean domains, roots of polynomials, and splitting fields.

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Vector spaces are used in many applications: they are discussed in a separate chapter with many examples. Chapters 10 and 11 contain a description of fields and Galois theory, with applications to orthogonal latin squares, Steiner systems and the solvability of equations by radicals.

Topics progress from the structure of mathematical proof, to groups, fields, and then rings. The universal nature of abstract algebra is illustrated in the textbook by the demonstration that certain geometric constructions are impossible. Find the book you need Go! Price: We are terribly sorry, but in order to download our books or watch our videos, you will need a browser that allows JavaScript.

Math 403 - Introduction to Abstract Algebra

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