"Honest" introductory real analysis book I was asked if I could suggest an "honest" introductory real analysis book, where "honest" means:


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*with every single theorem proved (that is, no "left to the reader" or "you can easily see");

*with every single problem properly solved (that is, solved in a formal (exam-like) way).


I've studied using Rudin mostly and I liked it, but it really doesn't fit the description, so I don't know what book I should suggest. Do you have any recommendations?
Update: I need to clarify that my friend has just started to study real analysis and the course starts from the very basics, deals with real valued functions of one variable, but introduces topological concepts and metric spaces too.

For an introduction more 'foot on the ground' analysis I recommend Elementary Classical Analysis. It's a shame that the partial visualization is not available. But you will not regret in search for this book in the library of a good university.
See too Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach. By John Hubbard and Barbara Burke. More in Amazon site.
