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Understanding Analysis (Undergraduate Texts in Mathematics) by Stephen Abbott is a mathematics available to read on EtoBox.

What is Understanding Analysis (Undergraduate Texts in Mathematics) about?

Understanding Analysis outlines an elementary, one-semester course designed to expose students to the rich rewards inherent in taking a mathematically rigorous 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 the questions that give analysis its inherent fascination. Does the Cantor set contain any irrational numbers? Can the set of points where a function is discontinuous be arbitrary? Are derivatives continuous? Are derivatives integrable? Is an infinitely differentiable function necessarily the limit of its Taylor series? In giving these topics center stage, the hard work of a rigorous study is justified by the fact that they are inaccessible without it.

Who reads Understanding Analysis (Undergraduate Texts in Mathematics)?

Author

Stephen Abbott

Publisher

New York: Springer

Published

2001

Language

EN

ISBN

9780387950600

Category

mathematics

Subjects

Mathematics, Stem

Rating

4.6 / 5 (469 ratings)

Updated

2026-03-14