A Concise Introduction to Pure Mathematics

Accessible to all students with a sound background in high school mathematics, this popular text presents some of the most fundamental and beautiful ideas in pure mathematics. Along with numerous new exercises, this edition includes two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications. It also contains new material on inequalities, counting methods, the inclusion-exclusion principle, and Euler's phi function.