4 ms·
Some books on proof, theorems/axioms, set theory, epsilon/delta/continuity/limits/differentiability, natural/rationals/reals/countability etc before heading int
by gtani 9y ago
Some books on proof, theorems/axioms, set theory, epsilon/delta/continuity/limits/differentiability, natural/rationals/reals/countability etc before heading into your first proof based LA or analysis sequence:
- Kevin Houston "How to Think Like a Mathematician"
- Keith Devlin "Intro Mathematical Thinking"
- "How to Study as a Mathematics Major" Lara Alcock (for some reason, she/Oxford Press has 2 books with seemingly identical content under Math Major and Math Degree titles)
- dvfjsdhgfv 9y agoMy favorite is Burn Math Class: And Reinvent Mathematics for Yourself
- goldenkey 9y agoSeems well liked but whats is up with the cover? Most people who are into mathematics aren't zealous rebels bent on burning the world. I feel like the marketing director for the book screwed up big time. I won't judge the book by its cover though. http://amzn.to/2CrgFDI http://amzn.to/2CrgFDI
- gowld 9y agoHuh? where did you get "zealous rebels bent on burning the world" ?
- dvfjsdhgfv 9y agoI actually don't remember the cover. The title is provocative but adequate. You could rephrase it as "Could you reinvent modern mathematics if it disappeared?" - but then probably less people would buy it.
- jacobolus 9y agoEven more useful as a first step in my opinion is to think about problem solving per se. E.g. see: Mason, Burton, & Stacey, Thinking Mathematically Pólya, How to Solve It; Mathematics and Plausible Reasoning (2 vols); Mathematical Discovery (2 vols) Schoenfeld, Mathematical Problem Solving Larson, Problem-Solving Through Problems