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Textbook Recommendations / General Advice - Applying for a PhD in Mathematics (for 2023/2024)
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I just finished a Masters, but not in math (although it was in stem) - I came to the realization that the only classes I liked were the math classes. I got this crazy idea / long-term goal of applying for a PhD in applied mathematics. To be transparent, I don't have an extensive history in the subject. I am comfortable with undergraduate Calculus, differential equations, Linear Algebra, but I know there are large holes in my knowledge as to what would be expected of me. I am getting into learning math as a hobby right now, currently watching the Gilbert Strang videos on YouTube - Linear Algebra lectures at MIT.

I am in no rush, but I would like to maximize my chances to get into a program in the next 2 to 3 years.

Below are 4 textbooks I've read in the last 6 months, as well as another nine that I thought might cover my bases's. I don't even know what order to tackle these in. My current plan is to go from top to bottom;

https://preview.redd.it/nhg2r5iakiv81.png?width=492&format=png&auto=webp&s=af004c98c2f75f6e671603b9f8590aebda9cb1db

Happy with any advice

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2 years ago