This book presents an introduction to modern (abstract) algebra covering the basic ideas of groups, rings, and fields. The first part of the book treats ideas that are important but neither abstract nor complicated, and provides practice in handling mathematical statements - their meaning, quantification, negation, and proof. This edition features a new section to give more substance to the introduction to Galois theory, updated lists of references and discussions of topics such as Fermat's Last Theorem and the finite simple groups.
A very readable first text on modern algebra! This book does a great job to ease the reader into the subject. Durbin keeps it in mind that students often struggle with reading and writing proofs at this level, and accomadates starting off with detailed proofs in the beginning and backs off as he moves on through the text. Those who want a more rigorous treatment may want to read Herstein. Over all, it's a fine introductory text.
A comprehensive and concise introduction to Algebra.
Published by Thriftbooks.com User , 24 years ago
As a first year student studying maths at Trinity College Dublin I have found this book very helpful. Our lecturer in Algebra sticks closely to the format of the book and almost uses it as his lecture notes. The book is very student friendly and gives a lot of good examples along the way. As with any good maths book no point is trivialised and the wording is all important. Modern Algebra can be a challenging subject but it is also immensely rewarding when things begin to fall together.
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