Does anyone know a good place to find math problems with worked solutions... just for practice. Preferably all different type, some that may require research.
You need to narrow down the question considerably as most technical disciplines beyond high school have more detailed specialist questions in their own textbooks than you will find in general maths books at the same level.
I'm interested in learning different branches of mathematics... My calculus and algebra is good, as well as frequency domain analysis. I guess I just want to learn more, the best learning method for me always starts with the problems... never with the research....
For many people, their math background is pushed by the physics courses they take, so you might get some texts on modern physics, mechanics and dynamics taught from a physics perspective, and statistical thermodynamics. Then there is always Mathematical Physics by Butkov, which is a very broad and deep text, but most people find to be very dense. A very good text, from the perspective of being very well written, is Electromagnetic Fields by Wangsness.
Still too broad I'm afraid. Mathematical Physics by B D Gupta Has a very wide range of what I might call classical mathematics for engineering and physics up to and including group theory, relativity, Maxwells theories, linear algebra, tensors and stuff and a very wide range of worked examples. It's set out in sections, not pages but |i think there's about a thousand and a half pages of wisdom for you bucks. Advanced Engineering Mathematics by Kreysig is another excellent tome, but a little less wide ranging. After that comes the 'Worked Examples In....' series I particularly like the 'Worked Examples in Fluid Mechanics.'