For subjects like Topology and Complex Analysis, look for "Visual Complex Analysis" by Tristan Needham to see the geometry behind the symbols. Are you looking to dive into a specific branch first, or are you looking for a structured curriculum for self-study?
Here is a curated roadmap of the foundational and advanced texts that have shaped the minds of mathematicians for decades. 1. The Gateway: Transition to Higher Math higher mathematics books
If Calculus is about "how" things change, Analysis is about "why." It’s where you deal with the "epsilon-delta" definitions that make calculus work. For subjects like Topology and Complex Analysis, look
This field looks at "operations" (like addition) on "sets" (like integers) and abstracts them into Groups, Rings, and Fields. "Abstract Algebra" by Dummit & Foote: "Abstract Algebra" by Dummit & Foote: : Often
: Often considered the "bridge" book, it teaches students how to construct formal arguments using set theory and logic. by Michael Spivak