Anthony Corsi

193
reputation

I'm largely self taught. I have learned Multivariable calculus, knowing everything from the gradient theorem to the Helmholtz decomposition. Dealing with most ODEs is no problem for me either, and I know some of the basic theory on PDEs (separation of variables, variation of parameters,... ect), mostly off Wikipedia. I have done an in depth study on undergraduate level real analysis, working through Jiri Lebl's Basic Analysis 1 and the first two chapters of his Basic Analysis 2. I have a complete, but non-rigorous, understanding of linear algebra, but am currently working to rigorously develop the theory by reading the well known Linear Algebra Done Right, by Sheldon Axler. So far I have done every single exercise from chapters 1-3 on my own, and could not be more pleased with the selection. Great textbook, undoubtably would recommend. Finally, my current roadmap for the future is to study Complex Analysis by Stein and Shakarchi, Pinter's Book of Abstract Algebra, and eventually Munkres Topology.