Overview

Rings and Fields provides an accessible introduction to rings and fields that will give the reader an appreciation of the power of algebraic techniques to handle diverse and difficult problems. A review of the prerequisite mathematics is given at the start of the book. Dr Ellis presents his ideas clearly and practically. Rather than presenting theory in abstract terms, chapters begin by introducing a problem and then go on to develop the necessary algebraic techniques for its solution in a purposeful, lucid manner, using concrete mathematical and non-mathematical examples. Although prior knowledge of group theory is unnecessary to understand the rest of the book, for those interested there is a chapter which states the axiom for a group and proves the group theoretic results needed in Galois theory.

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9780198534556

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The coverage is broad enough and very interesting. --Mathematical Reviews<br> 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<br>

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