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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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