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9781470464424 Academic Inspection Copy

Discovering Abstract Algebra

  • ISBN-13: 9781470464424
  • Publisher: AMERICAN MATHEMATICAL SOCIETY
    Imprint: AMERICAN MATHEMATICAL SOCIETY
  • By John K. Osoinach Jr
  • Price: AUD $178.00
  • Stock: 0 in stock
  • Availability: This book is temporarily out of stock, order will be despatched as soon as fresh stock is received.
  • Local release date: 30/04/2022
  • Format: Paperback (254.00mm X 178.00mm) 199 pages Weight: 392g
  • Categories: Algebra [PBF]
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Discovering Abstract Algebra takes an Inquiry-Based Learning approach to the subject, leading students to discover for themselves its main themes and techniques. Concepts are introduced conversationally through extensive examples and student investigation before being formally defined. Students will develop skills in carefully making statements and writing proofs, while they simultaneously build a sense of ownership over the ideas and results. The book has been extensively tested and reinforced at points of common student misunderstanding or confusion, and includes a wealth of exercises at a variety of levels. The contents were deliberately organized to follow the recommendations of the MAA's 2015 Curriculum Guide. The book is ideal for a one- or two-semester course in abstract algebra, and will prepare students well for graduate-level study in algebra.
John K. Osoinach, Jr, The University of Dallas, Irving, TX.
Group theory: Introduction Binary operations Groups Subgroups and generating sets Applications of subgroups Types of groups: Quotient groups Cyclic groups Direct products The isomorphism theorems The symmetric groups Alternating groups Ring theory: Rings Commutative rings Fields Quotient rings Linear algebra: Vector spaces Linear transformations Field theory: Extension fields Algebraic extensions Intermediate group theory: Group actions The Sylow theorems Appendices: Relations and functions Matrices Complex numbers Index
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