By Paul B. Garrett
Addresses universal Curricular Weaknesses
In addition to straightforward introductory fabric at the topic, resembling Lagrange's and Sylow's theorems in staff conception, the textual content presents very important particular illustrations of normal conception, discussing intimately finite fields, cyclotomic polynomials, and cyclotomic fields. The booklet additionally specializes in broader historical past, together with short yet consultant discussions of naive set idea and equivalents of the axiom of selection, quadratic reciprocity, Dirichlet's theorem on primes in mathematics progressions, and a few simple advanced research. a variety of labored examples and routines all through facilitate an intensive realizing of the material.
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Abstract Algebra by Paul B. Garrett