This new edition, now in two parts, has been significantly reorganized and many sections have been rewritten. This first part, designed for a first year of graduate algebra, consists of two courses: Galois theory and Module theory. Topics covered in the first course are classical formulas for solutions of cubic and quartic equations, classical number theory, commutative algebra, groups, and Galois theory. Topics in the second course are Zorn's lemma, canonical forms, inner product spaces, categories and limits, tensor products, projective, injective, and flat modules, multilinear algebra, affine varieties, and Grobner bases.
- ISBN13 9781470415549
- Publish Date 1 July 2016 (first published 20 May 2002)
- Publish Status Active
- Publish Country US
- Imprint American Mathematical Society
- Edition 3rd Revised edition
- Format Hardcover
- Pages 709
- Language English