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## Main Question or Discussion Point

Hi everyone,

I just finished self-studying linear algebra from Treil's Linear Algebra Done Wrong, and I want to continue with analysis.

I don't know the requirements, so I'll just list what I know. I already know single and multi-variable calculus (to give a sense of my level, I knew everything necessary math-wise to comfortably go through Griffiths' Introduction to Electrodynamics), linear algebra (Treil's book is my only exposure but I went through it from cover to cover and did all the problems) and a bit of differential equations (only the very basic stuff - separation of variables of ODEs and PDEs and integrating factors).

I want to self-study analysis because I'm interested in a rigorous approach to calculus and because I liked the proof-writing and the more abstract (for me) approach of Treil's book. However, I do not know where to begin with it and which book(s) would be suitable for my level/interest.

Thanks in advance for any suggestions and explanations!

I just finished self-studying linear algebra from Treil's Linear Algebra Done Wrong, and I want to continue with analysis.

I don't know the requirements, so I'll just list what I know. I already know single and multi-variable calculus (to give a sense of my level, I knew everything necessary math-wise to comfortably go through Griffiths' Introduction to Electrodynamics), linear algebra (Treil's book is my only exposure but I went through it from cover to cover and did all the problems) and a bit of differential equations (only the very basic stuff - separation of variables of ODEs and PDEs and integrating factors).

I want to self-study analysis because I'm interested in a rigorous approach to calculus and because I liked the proof-writing and the more abstract (for me) approach of Treil's book. However, I do not know where to begin with it and which book(s) would be suitable for my level/interest.

Thanks in advance for any suggestions and explanations!