This exploration will make you a better mathematical problem-solver across several exciting topics, including algebra, geometry, number theory, and discrete math. We'll connect the dots between various strategies, so that you can tackle math competition problems (even the ones that don't look like problems you've seen before)! This exploration is here to guide you through the "magic", revealing the thought processes that lead to clever solutions to beautiful problems.
A taste of what's to come.
Exponents, rates, logs, and more.
From the basics to AM-GM and Cauchy-Schwarz.
You'll make Vieta proud.
Take a look into this telescope...
Primes, factors, GCD/LCM, and more.
From units digits to Euler's Theorem.
Triangles, circles, polygons, and more.
Coordinates, mass points, and even some complex numbers.
The basics, the laws and relationships, and roots of unity.
Counting is a bit harder than 1, 2, 3, ...
The probability you'll need this is pretty high.
These strategies can save the day.