Abstract Algebra

Identification Numbers and Modular Arithmetic.- Error Correcting Codes.- Rings and Fields.- Linear Algebra and Linear Codes.- Quotient Rings and Field Extensions.- Ruler and Compass Constructions.- Cyclic Codes.- Groups and Cryptography.- The Structure of Groups.- Symmetry.

The author is a professor at XX University.

"The essential characteristic of this book is the 'down-to-earth' presentation on the most fundamental aspects of modern algebra. This book is indeed accessible to a general audience without prior knowledge of modern algebra ... ." (Haohao Wang, Mathematical Reviews, April, 2017)


"Finston and Morandi intend to develop the structures and basic theorems of modern algebra through applications that have relevance to the students' daily lives. ... For the vast majority of their students this will be their final abstract algebra course. ... do an excellent job of introducing students to the theory of abstract algebra and its applications." (Ellen Ziliak, MAA Reviews, June, 2015)

"Finston (Brooklyn College) and Morandi (New Mexico State Univ.) have taken on the daunting task of writing an abstract algebra text for students who are majoring in math, math education, or computer science and emphasizing applications to cover in one semester. The well-written work is organized to meetthe authors' stated goals. ... Summing Up: Recommended. Upper-division undergraduates and faculty." (J. R. Burke, Choice, Vol. 52 (9), May, 2015)

"This book can be used in various situations: for an applied algebra course, for courses designed for secondary mathematics teachers, for programs of Master' degree in middle school mathematics education or a Master of Arts in Teaching Mathematics. ... The book is structured in ten chapters." (Florentina Chirtes, zbMATH, Vol. 1304, 2015)