This is the first in a series of three volumes dealing with important topics in algebra. It offers an introduction to the foundations of mathematics together with the fundamental algebraic structures, namely groups, rings, fields, and arithmetic. Intended as a text for undergraduate and graduate students of mathematics, it discusses all major topics in algebra with numerous motivating illustrations and exercises to enable readers to acquire a good understanding of the basic algebraic structures, which they can then use to find the exact or the most realistic solutions to their problems.
Presents an accessible introduction to the major theorems of modern algebra
Provides a clear and motivating exposition with numerous examples and exercises
Is written by an expert with over 43 years of teaching experience of the subject
Ramji Lal
Algebra Number System Group Theory Arithmetic in Rings Equivalence Relations Elementary Theory of rings
“The rich material is explaind in a very lucid, detailed and rigorous style. Together with the unique wealth of instructive illustrations, examples, and exercises, the main text makes an excellent source for both teaching and self-study of the subject. Certainly, this new textbook is a very useful and valuable enrichment of the plenty of existing primers in the field of higher algebra.” (Werner Kleinert, zbMATH 1369.00002, 2017)