For use in advanced abstract algebra courses, "Fundamentals of Abstract Algebra" takes a blended theory and applications approach. Each chapter consists of definitions, theorems, proofs, and corollaries. Throughout the text the reader should find numerous examples that illustrate the concepts, historical background on the development of abstract algebra, and profiles of notable mathematicians.
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THEORY VS. APPLICATIONS:
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. This text takes the blended theory/applications approach.
Primary Course: Prealgebra
Course: Introduction to Algebra
Integrates the elementary concepts of algebra with fundamental concepts of arithmetic.
Involves the student in the development of mathematical concepts using a sequence of explicit detailed examples.
Applications emphasized throughout.
Also includes equations,geometry, rate & motion measurement.
Emphasis on applications enhances the mathematical integrity and historical perspective, allowing students to more easily grasp concepts.
Worked-out exercises at the end of each section provide students with problem-solving techniques.
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.
APPLICATIONS: Special topics showing applications of abstract algebra to other areas of mathematics as well as real world applications are included.
WORKED-OUT EXERCISES: These exercises appear at the end of each section and give students a model they can use to solve other exercises.
COMPUTATIONAL TECHNIQUES: These techniques are provided throughout the text to help illustrate abstract concepts. For example, how to find the subgroups of a group, find the Sylow subgroups, find different finite Abelian groups of a given order, etc.
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Book Description Paperback. Book Condition: Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Bookseller Inventory # GOR007693651
Book Description McGraw-Hill Inc.,US. PAPERBACK. Book Condition: Very Good. 0071154221 Item in very good condition and at a great price! Textbooks may not include supplemental items i.e. CDs, access codes etc. Bookseller Inventory # Z0071154221Z2