This is a book which is about proofs in competition math. This blog post is a promotional one for its release.
Authors: Alex Toller, Freya Edholm, Dennis Chen.
Preorders start on March 14th, also known as Pi Day. Yes, this was on purpose. (3/14)
Release is on April 5th. The best way to remember this is you will have to run for your life if you don’t get this book on four-five. (4/5)
Why you should pre-order (when the time comes)
First, if you want to see my writing… this book doesn’t have much of it at the time of this post. (Oops.) Unfortunately, I’ve been bogged by other obligations, so I haven’t written much. (If you think the issue of splitting the earnings and me potentially getting money for nothing is an issue, I do too. More on that later.)
But if you agree with what I say on this blog, here’s something you’ll definitely agree with when the book comes out (and even if you don’t agree with me most of the time, you will agree here) – this book is high-quality. I will have proof for that (aka samples) soon, if the other two agree to release nontrivial yet non-significant portions. I’m writing Inversion, so if you liked EEG’s Inversion, you are going to like this one even more.
Also, Alex and Freya are very reputable within the math community themselves (though I suspect most readers of my blog already know this). (In fact, they’re much more reputable than me, but shh!)
Anyway, this is quality, this is hype, and this covers a lot of stuff.
Why you should pre-order: Part 2.
Here’s a rough ToC, with wording that is totally inaccurate.
Part 1: Proofs (this is logic in general, also stuff like iff. Good for beginners.)
Part 2: Algebra
A: algebra for noobs
B: Basic Inequalities + Complex Numbers + just stuff you should know for polynomials
C: Really hard stuff (see newton sums)
Part 3: Geometry
A: normal stuff
B: normal, but more advanced stuff
C: really hard normal stuff + bary/polar/cylindrical + inversion (I’ll get spiral similarity and homothety added if I can)
Part 4: Number Theory/Combinatorics
A: intro+interesting but unimportant stuff (its kind of the equivalent to spiral similarity or inversion)
B: More interesting but unimportant stuff.
C: Classic NT (Bases, mod arith)
D: Hard NT (HELP)
E: Even harder NT. (HELP II)
Part 5: Open Problems + for fun
A: Goes over open problems. Makes no progress but defines the backgrounds. (If we could make significant progress, we’d submit that as an article hm?)
B: Pythagorean’s Proofs (my favorite) and Fake-Proofs (my LEAST favorite).
I’m not being paid for this
I forget if I’ve said this to Alex, but I don’t intend to be paid for this simply due to the fact I’ve done an embarrassingly small amount of work on the book. I will still
a) take responsibility for the final product
b) be involved in marketing
c) actually work on the book now
but the little work I did does not warrant payment. (It’s a wonder I’m on the authors list…) I intend to make up for that by working on it now.
Buy the book when it comes out!
I’m a lazy bum too, so I deserve all the blame for flaws because I’d be able to fix them if I was paying more attention and none of the credit for success because I didn’t do anything. (Oops.)
Also, I don’t know where Homothety/Spiral Similarity will go. Preferably next to Inversion, with Homothety before Spiral (since Homothety is a special case of Spiral).
Please support this by sharing with your friends or whoever might be interested!
(If this post seems lazy, it’s because I’d rather get onto writing the book.)
Edit: I’m going to put this in every category, so people see this. I also will update my website soon.