Advanced Mathematics

Mathematical Methods for Physicists, Seventh Edition: A Comprehensive Guide   by George B. Arfken


This is the latest edition and seems to contain more preliminary material. I used a much earlier edition and fell in love with it. The examples are perfect for those who wish to see how how the power of mathematics can be used to handle realistic examples from the real physical world.

If you intend to major in physics, you need the mathematical background here.

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Elliptic Tales: Curves, Counting, and Number Theory by A. Ash and R. Gross
In this books the authors do an amazing job of explaining, clearly and simply, some very beautiful abstract mathematics that lies at the heart of one of the million dollar conjectures and also the solution of Fermat's last theorem.

Requires some background in undergrad maths and a love of maths.



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more books coming soon