DeBonis, Mark J.,

Fundamentals of abstract algebra / Mark J. DeBonis. - First edition. - xii, 290 pages : illustrations ; 27 cm. - Textbooks in mathematics .

Includes bibliographical references and index.

Section I. Groups. 1. Background Material. 2. Basic Group Theory. 3. Simple Groups. 4. Group Action. Group Presentation and Representations. 5. Solvable and Nilpotent Groups. Section II. Rings and Fields. Chapter 7. Ring Theory. 8. Integral Domain Theory. 9. Field Theory. 10. Galois Theory.

"Fundamentals of Abstract Algebra is a primary textbook for a one year first course in Abstract Algebra, but it has much more to offer besides this. The book is full of opportunities for further, deeper reading, including explorations of interesting applications and more advanced topics, such as Galois theory. Replete with exercises and examples, the book is geared towards careful pedagogy and accessibility, and requires only minimal prerequisites. The book includes a primer on some basic mathematical concepts that will be useful for readers to understand, and in this sense the book is self-contained"--

9781032367019 9781032370910

2023048005


Algebra, Abstract--Textbooks.
Group theory.
Galois theory.

QA162 / D43 2024