Thread: Book Recommendation

I am going to be a second year maths undergraduate and I am not satisfied with my current level of maths understanding in some areas. Can anyone recommend books on analysis and differential equations.

The analysis book to cover topics; limits of sequences and series (real and complex), differentiability, continuity, functions, cauchy Riemann, fundamental theorem of calculus, cauchy's theorem

The differential equation book to cover basic ODE's up to fourier and laplace transforms.

Can anyone recommend books and give me the contents.

I used this

Amazon.com: Advanced Engineering Mathematics (9780471488859): Erwin Kreyszig: Books

should cover most of, if not all of what you require.

Thanks. anyone else