I'm looking for a big list of resources for advanced undergraduate - beginning graduate (and even beyond, really) with a particular feature. Namely, I really like solving "project"-like problems that include the general direction of the proof. I think it helps keep me motivated and learn more by solving multi-step problems with some direction.

Here are a few specific examples:

Dummit & Foote, pg. 96:

enter image description here

Dummit & Foote, pg. 268-269

enter image description here

Bartle, Elements of Real Analysis, p. 273

enter image description here

Generally, these problems are few and far between (probably for good reason) but I was hoping there were some books (from any subject area!!) that go out of the way to include problems like this.

Obviously I am familiar with Dummit & Foote and Bartle's Elements of Real Analysis. I know Rudin's PMA also has quite a few problems in the same vein. Which do you know?

Thanks,


Strom J - Modern Classical Homotopy Theory.


Anthony Knapp's Basic Algebra (presumably his Advanced Algebra as well) has several problems like this in every chapter, introducing new important concepts, extending ideas from the text, or investigating applications. Here is an example project:

Knapp's Basic Algebra