My Books:

Here is a compilation of pdfs that I have written, more precisely, I have taken multiple books in each field and have combined them each into a comprehensive study guide. Each pdf consists of the bulk/basics of each field, with proofs and examples being omitted. They are mostly complete, but will always be a work-in-progress. Whenever I commit to knowing/remembering something forever, I organize the material in such a way so that it is easy to engrain the information in my head… these books accomplish that.

Algebraic Number Theory

Analytic Number Theory

Category Theory

Modern Algebra

Complex Analysis

Real Analysis

I cannot proceed without giving credit to those authors, whom I have learned most from, and whose material I have chosen to use in my references. They are: Tenenbaum, Montgomery, Vaughan, Apostle, Ireland, Rosen, Titchmarsh, Jarvis, Marcus, Alaca, Lang, Ash, Samuel, Neukirch, Mac Lane, Leinster, Awodey, Hungerford, Dummit, Foote, Palka, Stein, Bass, and Royden.


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