A Course in Real Analysis

by John N. McDonald, Neil A. Weiss

A Course in Real Analysis provides a firm foundation in real analysis concepts and principles while presenting a broad range of topics in a clear and concise manner. This student-oriented text balances theory and applications, and contains a wealth of examples and exercises. Throughout the text, the authors adhere to the idea that most students learn more efficiently by progressing from the concrete to the abstract. McDonald and Weiss have also created real application chapters on probability theory, harmonic analysis, and dynamical systems theory. The text offers considerable flexibility in the choice of material to cover.
* Motivation of Key Concepts: The importance of and rationale behind key ideas are made transparent
* Illustrative Examples: Roughly 200 examples are presented to illustrate definitions and results
* Abundant and Varied Exercises: Over 1200 exercises are provided to promote understanding
* Biographies: Each chapter begins with a brief biography of a famous mathematician

Genres: Mathematics

Hardcover

First published January 12, 1999

Reviews

[Wickernester Smallson · Rating 2 out of 5]

Very dense book that reads more like an auto repair manual than a textbook at times.

Reads more like a reference than a teaching tool, but also suffers critically from "Proof has been left as an exercise for the reader" disease. Basically, it can't decide whether it's a reference or a textbook.

Overall, it's got some good shit though. I liked the part about Hilbert spaces. Maybe real analysis just isn't my jam.