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.