Extremal combinatorics

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1. gradschoolJun 2021
   some "out there" suggestions:

   - "Extremal Combinatorics" by Staysys Jukna

   - "Convex Optimization" by Boyd and Vandenberghe

   - "Delay Insensitive Circuits" [1]

   - "An Introduction to Mathematical Cryptography" by Hoffstein, Pipher, and Silverman

   - "Quantum Computing since Democritus" by Scott AAronson

   [1] https://www.delayinsensitive.com

   disclosure: I'm the author.

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2. zeta8Apr 2014
   I'm in a similar position as well - perhaps at just a wee bit higher level (am learning grad-level math by myself). Below is a list of books that I have enjoyed. Some might perhaps be at a slightly higher level than you might need right now though.

   1. Analysis - The Elias Stein, Rami Shakarchi Analysis series, Meassure Theory by Terrence Tao, Lebesgue Integration on Euclidean Spaces by Frank Jones, A radical approach to Lebesgue Integration by Bressoud

   2. Algebra - Can't do much better than the classic texts by Herstein & Artin here. I know Artin doesn't get much love but after a point, you really begin to appreciate it.

   3. Complex Analysis - is there a better math book than Visual Complex Analysis by Needham?

   4. Topology - i'm partial to a Dover book on Topology by Theodore Gamelin. I learnt the basics of point-set topology & homotopy form this book. Great exercises.

   5. Number Theory - check out the 2 problem books on number theory by Ram Murty. Melvyn Nathanson's book is quite good as well.

   6. Combinatorics - Combinatorics of Finite Sets by Ian Anderson. Extremal Combinatorics by Jukna.

   7. Graph Theory - Diestel or Bondy/Murty.

   8. Galois Theory - Rotman is great.

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