Abstract Algebra - 2nd Edition
CRC Press
Abstract AlgebraA First Course\nAuthor(s): Stephen Lovett\nFormat: Hardback\nPublisher: Taylor & Francis Ltd, United Kingdom\nImprint: Chapman & Hall/CRC\nISBN-13: 9781032289397, 978-1032289397\nSynopsis\nWhen a student of mathematics studies abstract algebra, he or she inevitably faces questions in the vein of, \""What is abstract algebra\"" or \""What makes it abstract?\"" \n\nAlgebra, in its broadest sense, describes a way of thinking about classes of sets equipped with binary operations. In high school algebra, a student explores properties of operations (+, ?, , and ) on real numbers. \n\nAbstract algebra studies properties of operations without specifying what types of number or object we work with. Any theorem established in the abstract context holds not only for real numbers but for every possible algebraic structure that has operations with the stated properties.\n\nThis textbook intends to serve as a first course in abstract algebra. The selection of topics serves both.
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