An Introduction to Analysis

by William R. Wade

For one- or two-semester junior or senior level courses in Advanced Calculus, Analysis I, or Real Analysis. This text prepares students for future courses that use analytic ideas, such as real and complex analysis, partial and ordinary differential equations, numerical analysis, fluid mechanics, and differential geometry. This book is designed to challenge advanced students while encouraging and helping weaker students. Offering readability, practicality and flexibility, Wade presents fundamental theorems and ideas from a practical viewpoint, showing students the motivation behind the mathematics and enabling them to construct their own proofs.

Genres: Mathematics, Textbooks, Science, Nonfiction

696 pages, Hardcover

First published August 1, 1994

Reviews

[Felix303 · Rating 4 out of 5]

I covered a bulk of the book in my analysis course, as well as more in free time. The book provides a solid introduction to analysis. Compared to, say, Abbott's understanding analysis, its less of a hand-held experience, and the author expects the reader to take greater responsibility of their own learning.
However, I personally liked the rigorous and concise writing style. It provides a nice middle ground between Abbott's book, and Baby Rudin, being approachable by beginners, while accommodating the developing skills of the reader.

All in all, I would recommend this book to the dedicated beginner looking for a solid introduction to analysis.

[Patrick Hettinger · Rating 3 out of 5]

This one isn't quite a page-turner. But if you want to be able to prove why calculus works, this is a place to start!