Now in its second edition, this textbook provides an introduction and overview of number theory based on the density and properties of the prime numbers. This unique approach offers both a firm backgr
The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from three different areas of mathematics: abstr
The purpose of this book is to examine three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology. It is ideal for a "capstone" co
Introduction to Abstract Algebra presents a systematic approach to one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, the authors begin with familiar top
The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presen
Fine, Gaglione, Myasnikov, Rosenberger, and Spellman present students, academics, and researchers with an in-depth examination of the general elementary theory of groups necessary to understand proofs
