A calculus of the absurd

Chapter B Resources

These are all resources which I find useful. They are not in any particular order.

General resources

Secondary school mathematics

Practice questions
General resources

Problem solving

Abstract algebra

Proof

Computer science

  • • “Algorithms” by Dasgupta, Papadimitriou and Vazirani

  • • “Quantum Computing Since Democritus” by Scott Aaronson (https://www.scottaaronson.com/democritus/) - a really wonderful book

  • • “A Logical Approach To Discrete Math[s]” by David Gries and Fred B. Schneider

Linear algebra

  • • Sergei Treil’s “Linear Algebra Done Wrong”. Great book.

  • • Friedberg, Insel and Spense’s “Linear Algebra”. Great book encyclopedia.

Miscellaneous

  • • BlackPenRedPen, a YouTube channel (https://www.youtube.com/channel/UC_SvYP0k05UKiJ_2ndB02IA)

  • • Stephen Miller’s "The Probability Lifesaver" - a wonderful book on probability

  • • Jiří Lebl’s "Notes on Diffy Qs" (https://www.jirka.org/diffyqs/diffyqs.pdf)

  • • The American Institute of Mathematics maintain a list of open access textbooks of which they approve (https://aimath.org/textbooks/approved-textbooks/).

  • • Ian Anderson’s "A First Course in Discrete Mathematics"

  • • Philip J. Davis and Reuben Hersh’s "The Mathematical Experience"

  • • I found Alan Schoenfeld’s "Mathematical Thinking and Problem Solving" interesting, but I can see why many other people might not.

  • • Michael Steele’s “The Cauchy-Schwarz Master Class”.