This book is chapter 1 of a series of book. The entire series is an introduction to combinatory, number theory, topology, groups, rings, fields, modules, algebraic and integral extensions, noncommutative algebra, algebraic number theory, algebraic geometry, algebraic topology, and even more. The title of the series is Abstract Algebra and Discrete Mathematics.The focus is on breadth, rather than depth. Excellent books already exist for any one of...