This undergraduate textbook introduces students to the basics of
real analysis, provides an introduction to more advanced topics
including measure theory and Lebesgue integration, and offers an
invitation to functional analysis. While these advanced topics are
not typically encountered until graduate study, the text is
designed for the beginner. The author's engaging style makes
advanced topics approachable without sacrificing rigor. The text
also consistently encourages the reader to pick up a pencil and
take an active part in the learning process. Key features include:
- examples to reinforce theory; - thorough explanations preceding
definitions, theorems and formal proofs; - illustrations to support
intuition; - over 450 exercises designed to develop connections
between the concrete and abstract. This text takes students on a
journey through the basics of real analysis and provides those who
wish to delve deeper the opportunity to experience mathematical
ideas that are beyond the standard undergraduate curriculum.
General
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