Understanding Analysis

Ranked #36 in Calculus, Ranked #50 in Analysis

This book outlines an elementary, one-semester course that exposes students 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 of a course in real analysis should be 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.

This new edition is extensively revised and updated with a refocused layout. In addition to the inclusion of extra exercises, the quality and focus...
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