Each chapter consists of definitions, theorems, proofs, and corollaries. Throughout the text you will find numerous examples that illustrate the concepts, historical background on the development of abstract algebra, and profiles of notable mathematicians. Within the discipline, there are those instructors in the minority that teach this strictly as a theory course. Most of the market is looking for a more meaningful approach whereby theory and applications are blended. The emphasis on applications does not take away from the mathematical integrity and historical perspective but helps to enhance it.
Students are then able to grasp concepts more easily.
Involves the student in the development of mathematical concepts using a sequence of explicit detailed examples. Applications emphasized throughout. Emphasis on applications enhances the mathematical integrity and historical perspective, allowing students to more easily grasp concepts. Computational techniques are provided throughout the text to help illustrate abstract concepts. Special topics, such as algebraic varieties, matrix rings, and Noetherian and Artinian rings are unique to this text.