Exploring the Infinite An Introduction to Proof and Analysis | Mathematics

Product Description

Exploring the Infinite addresses the trend toward a combined transition course and introduction to analysis course. Itguides the reader through the processes of abstraction and log-ical argumentation to make the transition from student of mathematics topractitioner of mathematics. This requires more than knowledge of the definitions of mathematical structures elementary logic and standard proof techniques. The student focused on only these will develop little more than the ability to identify a number of proof templates and to apply them in predictable ways to standard problems. This book aims to do something more; it aims to help readers learn to explore mathematical situations to make con…