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 ...
Read More
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.
Read Less
Add this copy of Advanced Modern Algebra: Third Edition, Part 1 to cart. $95.00, very good condition, Sold by Maxwell's House of Books rated 3.0 out of 5 stars, ships from La Mesa, CA, UNITED STATES, published 2015 by American Mathematical Society.
Add this copy of Advanced Modern Algebra: Third Edition, Part 1 to cart. $127.42, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Hialeah, FL, UNITED STATES, published 2015 by American Mathematical Society.
Add this copy of Advanced Modern Algebra: Third Edition, Part 1 to cart. $180.20, good condition, Sold by TEXTSHUB rated 5.0 out of 5 stars, ships from Franklin Lakes, NJ, UNITED STATES, published 2015 by American Mathematical Society.
Add this copy of Advanced Modern Algebra: Third Edition, Part 1 to cart. $181.27, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Hialeah, FL, UNITED STATES, published 2015 by American Mathematical Society.
I am a retired professor of mathematics from a major university. My field of rsearch was algebra. Previous books by Rotman were very attractive and so I was curious about this 1012 page algebra tome. The reason one writes a book is that at some point one thinks one has organized the material in one's mind successfully and putting the ideas down on paper clarifiys or validates this belief. So Rotman apparantly has reached this point in his thoughts about general algebra. I don't think he has anything to offer us that makes this book a needed addition to the literature. First of all the book is too long. It must have taken Rotman years to write this book and we don't have years to absorb all of it. Due to the continual mathematical "flashbacks" I don't think the book is very useful as a general reference. Here's what I recommend: Jacobson's two volumes Basic Algebra I and II have been reprinted inexpensively by Dover at under US$20 each. Volume I can actually be read and is enough algebra background for anyone entering research. Volume II is an excellent reference and supplies more than enough background for a professioal. However I must credit Rotman with very clear explanations of the material and proofs. I just wish this book was up to the level of Rotman's excellent group theory and homological algebra books.
