How We Got From There to Here: A Story of Real Analysis

Download or read book How We Got From There to Here: A Story of Real Analysis written by Eugene Boman and published by Lulu.com. This book was released on 2014-07-12 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductory real analysis textbook, presented through the lens of history. That is, it proposes that an effective way to motivate the highly non-intuitve definitions and theorems encountered in an introductory, college level Real Analysis course is via one of the stories (there are many) of the historical development of the subject, from its intuitive beginnings to modern rigor. The definitions and techniques are motivated by the actual difficulties encountered by the intuitive approach and are presented in their historical context.