Abstract Algebra: A Gentle Introduction advantages a trend in mathematics textbook publishing towards smaller, less expensive and brief introductions to primary courses. The authors move away from the 'everything for everyone' approach so common in textbooks. Instead, they provide the reader with coverage of numerous algebraic topics to cover the most important areas of abstract algebra.
Through a careful selection of topics, supported by interesting applications, the authors Intend the book to be used for a one-semester course in abstract algebra. It is suitable for an introductory course in for mathematics majors. The text is also very suitable for education majors
who need to have an introduction to the topic.
As textbooks go through various editions and authors employ the suggestions of numerous well-intentioned reviewers, these book become larger and larger and subsequently more expensive. This book is meant to counter that process. Here students are given a "gentle introduction," meant to provide enough for a course, yet also enough to encourage them toward future study of the topic.
Features
- Groups before rings approach
- Interesting modern applications
- Appendix includes mathematical induction, the well-ordering principle, sets, functions, permutations, matrices, and complex nubers.
- Numerous exercises at the end of each section
- Chapter "Hint and Partial Solutions" offers built in solutions manual
Autorentext
Gary Mullen is Professor of Mathematics, The Pennsylvania State University, where he earned his Ph.D. His main interest is finite fields, and is founder of the journal "Finite Fields and Their Introduction." He is also the Editor of The Handbook of Finite Fields published by CRC Press.
James Sellers is Professor and Associate Head for Undergraduate Mathematics, The Pennsylvania State University, where he also earned his Ph.D. He has published many research articles and won awards related to his efforts to advance mathematics education.
Zusammenfassung
High brightness metal vapor lasers have become the most bright and powerful in the visible spectral range among all existing laser types, resulting in numerous applications ranging from purely fundamental research to practical application in large-scale commercial problems such as isotope selection. This book presents a full series of fundamental problems on the development of physical fundamentals and mathematical models for practical realization of a high-power laser radiation on self-contained transitions in metal atoms. It is the first fundamental review on physics and the technique of high-brightness metal vapor lasers.