Real Analysis with Real Applications

Rating:
Summary: To get started in analysis.
Review: A well balanced book! The first solid analysis course, with proofs, is central in the offerings of any math.-dept.;-- and yet, the new books that hit the market don't always hit the mark: The balance between theory and applications, --between technical profs and intuitive ideas,--between classical and modern subjects, and between real life exercises vs. the ones that drill a new concept. The Davidson-Donsig book is outstanding, and it does hit the mark. The writing is both systematic and engaged.- Refreshing! Novel: includes wavelets, approximation theory, discrete dynamics, differential equations,
Fourier analysis, and wave mechanics.

Rating:
Summary: A little advanced, examples could be better
Review: I'm a senior math major and am using this book in my Analysis I class. I find it a bit difficult to follow, and many students in my class agree that the examples are too few and lack simplicity. It would help if there was an answer key in the back of the book so that solutions could be confirmed. Also, the exercises are not very similar to the examples of a given section of a chapter. Lots of room for improvement.