Discovering abstract algebra
- Providence : MAA Press, 2021
- xviii, 199 p. ; ill., 26 cm
- AMS/MAA textbooks, 2577-1205 ; vol. 67 .
Includes index.
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.
9781470464424
Algebra, Abstract Field theory and polynomials Commutative algebra Linear and multilinear algebra Group theory and generalizations Introductory exposition Matrix theory Abelian group Binary Operation Corollary Finite function Homomorphism Isomorphic Polynomial Sylow Vector space Lagrange's theorm