Taking a slightly different approach from similar texts, Introduction to Abstract Algebra presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from first principles. A Quick Introduction to Algebra The first three chapters of the book show how functional composition, cycle notation for permutations, and matrix notation for linear functions provide techniques for ...
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Taking a slightly different approach from similar texts, Introduction to Abstract Algebra presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from first principles. A Quick Introduction to Algebra The first three chapters of the book show how functional composition, cycle notation for permutations, and matrix notation for linear functions provide techniques for practical computation. The author also uses equivalence relations to introduce rational numbers and modular arithmetic as well as to present the first isomorphism theorem at the set level. The Basics of Abstract Algebra for a First-Semester Course Subsequent chapters cover orthogonal groups, stochastic matrices, Lagrange's theorem, and groups of units of monoids. The text also deals with homomorphisms, which lead to Cayley's theorem of reducing abstract groups to concrete groups of permutations. It then explores rings, integral domains, and fields. Advanced Topics for a Second-Semester Course The final, mostly self-contained chapters delve deeper into the theory of rings, fields, and groups. They discuss modules (such as vector spaces and abelian groups), group theory, and quasigroups.
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Add this copy of Introduction to Abstract Algebra to cart. $10.15, very good condition, Sold by quasifibration rated 4.0 out of 5 stars, ships from Toronto, ON, CANADA, published by CRC Press.
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Very Good. Boca Raton, FL: CRC Press, 2008. Very Good. Boca Raton, FL: CRC Press, 2008. Hard cover. 4. Very good. No dust jacket. Glued binding. Paper over boards. 327 p. Contains: Illustrations, black & white, Figures. Textbooks in Mathematics. Audience: General/trade. ORIGINAL FIRST hardcover edition; a tight bright unmarked copy in very good shape overall; never read!
Add this copy of Introduction to Abstract Algebra to cart. $56.25, very good condition, Sold by Second Story Books rated 5.0 out of 5 stars, ships from Rockville, MD, UNITED STATES, published 2009 by CRC Press.
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Book. Octavo, viii, x, 327 pages. In Very Good condition. Bound in the publisher's green cloth bearing white lettering to the spine. Boards have minimal wear. Text block has faint finger marks to the edges. Illustrated. First edition, first printing. NOTE: Shelved in Netdesk Column F, ND-F. 1378217. FP New Rockville Stock.
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Add this copy of Introduction to Abstract Algebra 2ed (Hb 2015) to cart. $75.49, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2015 by CRC Press.
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Add this copy of Introduction to Abstract Algebra to cart. $79.46, good condition, Sold by TextbookRush rated 5.0 out of 5 stars, ships from Grandview Hts, OH, UNITED STATES, published 2015 by CRC Press.
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