Groups, Rings and Fields [Paperback]

This is a basic introduction to modern algebra, providing a solid understanding of the axiomatic treatment of groups and then rings, aiming to promote a feeling for the evolutionary and historical development of the subject. It includes problems and fully worked solutions, enabling readers to master the subject rather than simply observing it.David Wallace has written a text on modern algebra which is suitable for afirst course in the subject given to mathematics undergraduates. It aimsto promote a feeling for the evolutionary and historical development ofalgebra. It assumes some familiarity with complex numbers, matrices andlinear algebra which are commonly taught during the first year of anundergraduate course.Each chapter contains examples, exercises and solutions, perfectly suitedto aid self-study. All arguments in the text are carefully crafted topromote understanding and enjoyment for the reader.1 Sets and Mappings.- 2 The Integers.- 3 Introduction to Rings.- 4 Introduction to Groups.- 5 Rings.- 6 Topics in Group Theory.- Hints to Solutions.- Suggestions for Further Study.INCLUDES NUMEROUS EXAMPLES AND EXERCISES (WITH SOLUTIONS) WHICH MAKE IT IDEAL FOR SELF-STUDY PROMOTES A FEELING FOR THE EVOLUTIONARY AND HISTORICAL DEVELOPMENT OF ALGEBRAThis is a text for a first course on modern algebra, usually taught in thesecond year of a degree course. It gives wider coverage than most othertexts on the subject, and omits the less significant aspects toconcentrate on the essentials. It features plenty of examples andexercises with solutions and so is ideally suited for self-study.Springer Book Archives