INCLUDES NUMEROUS EXAMPLES AND EXERCISES (WITH SOLUTIONS) WHICH MAKE IT IDEAL FOR SELF-STUDY PROMOTES A FEELING FOR THE EVOLUTIONARY AND HISTORICAL DEVELOPMENT OF ALGEBRA
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 a first course in the subject given to mathematics undergraduates. It aims to promote a feeling for the evolutionary and historical development of algebra. It assumes some familiarity with complex numbers, matrices and linear algebra which are commonly taught during the first year of an undergraduate course. Each chapter contains examples, exercises and solutions, perfectly suited to aid self-study. All arguments in the text are carefully crafted to promote understanding and enjoyment for the reader.|This is a text for a first course on modern algebra, usually taught in the second year of a degree course. It gives wider coverage than most other texts on the subject, and omits the less significant aspects to concentrate on the essentials. It features plenty of examples and exercises with solutions and so is ideally suited for self-study.
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.
Inhaltsverzeichnis
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.
Klappentext
David Wallace has written a text on modern algebra which is suitable for a
first course in the subject given to mathematics undergraduates. It aims
to promote a feeling for the evolutionary and historical development of
algebra. It assumes some familiarity with complex numbers, matrices and
linear algebra which are commonly taught during the first year of an
undergraduate course.
Each chapter contains examples, exercises and solutions, perfectly suited
to aid self-study. All arguments in the text are carefully crafted to
promote understanding and enjoyment for the reader.
This is a text for a first course on modern algebra, usually taught in the
second year of a degree course. It gives wider coverage than most other
texts on the subject, and omits the less significant aspects to
concentrate on the essentials. It features plenty of examples and
exercises with solutions and so is ideally suited for self-study.
