Synopsis : Understanding Analysis written by Stephen Abbott, published by Springer Science & Business Media which was released on 06 December 2012. Download Understanding Analysis Books now! Available in PDF, EPUB, Mobi Format.
This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.