Dealing with the different "sizes" of infinity. The Role of Solutions in Learning Proofs
Exploring the properties of sets, power sets, and Cartesian products. Relations and Functions: Moving beyond A Transition To Advanced Mathematics 7th Edition Solutions
Moving from high school algebra to rigorous definitions. Dealing with the different "sizes" of infinity
These are not structured solution manuals, but they are excellent for specific problems. Search for the exercise number (e.g., “Smith Transition to Advanced Math 7th ed Exercise 3.2.7”). You will often find detailed discussions of exactly where proofs go wrong. This is slower but pedagogically superior. A Transition To Advanced Mathematics 7th Edition Solutions