Book recommendations for self-study at the level of 3rd-4th year undergraduate
I have only recently discovered an interested in mathematics and I could only take a year off work to be back at school. Needless to say, for financial reasons (couple of mortgages) I will need to return to work soon. Luckily though, I will be setting up a nice office with whiteboard etc to do some serious thinking in!
I have found some examples as well as a lot of resources for first and second year courses, though by time I return to work basically any 2nd year math class that my university offers as well as most of the third year ones I will have taken.
I know there are a ton of math professors on here, so I'm wondering if anyone can recommend a good textbook for learning.
- PDE (never done, save for some physics related stuff)
- Topology (never done but I am extremely interested in this topic)
- Complex Calculus (complex being imaginary numbers)
- Abstract Algebra (done second year only)
- Chaos (done intro only)
- Advanced ODE
As well as any other texts/books you find interesting (Graph theory etc) most things involving logic I find very intriguing basically anything but statistics.
I will have also completed a third year level analysis course so hopefully I can get through the math language. That being said, as dummy-proof of a layout as possible is preferred. Anyone out there that happens to have some material lying around to a related course that wouldn't mind emailing it to me or leaving there website below so I could steal some assignments and solutions I would really appreciate that as well. Most stuff I find on the internet isn't at the 3rd/4th year undergraduate level.
Solution 1:
1, PDE : PDE by Fritz John
Topology : Basic topology by Armstrong
Complex Calculus : Complex analysis by T W Gmaelin
Abstract Algebra : Topics in algebra by herstein , Abstract algebra by dummit and foote
ODE and Chaos : Differential equations, dynamical systems, and an introduction to chaos by Hirsch , DE with historical notes by simmons