Rings and Fields (Oxford Science Publications) 1st Edition by Graham Ellis (PDF)

Description

This accessible introduction to the mathematics of rings and fields shows how algebraic techniques can be used to solve many difficult problems. The book is carefully organized. Prerequisite mathematical skills are introduced at the beginning, and each chapter opens with an introduction to a problem followed by the development of the algebraic techniques necessary for its solution, using concrete mathematical and non-mathematical examples. Although prior knowledge of group theory is not required, a chapter is included which states the axiom for a group and proves the group theoretic results needed in Galois theory. The work is intended for advanced students and researchers in mathematics, computer science, and electronic engineering.

User’s Reviews

Editorial Reviews: Review “The coverage is broad enough and very interesting.” –Mathematical Reviews”Ellis makes available to students, in a clear, understandable fashion, many of the classic problems that are approachable through algebraic techniques. From Ellis’s book, an interested student could easily obtain an understanding of the problem and be presented with a method of solution. An excellent choice for any undergraduate library and a very worthy resource for a “special” topics course for interested upper-division undergraduates and graduate students.” –Choice About the Author Graham Ellis is at University College, Galway.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book was used for one of my undergraduate abstract algebra classes.The book is just as difficult to understand as a more advanced, comprehensive abstract algebra text, but it is small, and leaves out lots of material, glossing over difficult proofs and leaving out important topics.The book also has some serious flaws in major proofs–notably, one in the proof that solvability in Galois groups corresponds to solvability in polynomials.The overall reason for complaint however is that the book is not clear. It claims to be usable for a “first course in abstract algebra” but this claim is completely absurd–it was my second abstract algebra class and I still had trouble with the book. I had trouble both because it said so little, and because it said it so unclearly.DO not buy this book–make a decision, based on your background and buy:(1) An easier to read book with better explanationsOR(2) A more comprehensive text.Trust me–you’ll be better off!

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