Numbers and counting
What a number really is, and why where a digit sits changes its value.
topic 01
Mathematics from zero
Start knowing only how to count. Finish with the math foundation a programmer needs.
Four operations in depth
Addition, subtraction, multiplication, division — what they mean, not just how.
Fractions, decimals, percents
Three ways to write a part of a whole, and how to move between them.
Powers and roots
Repeated multiplication, and the question it cannot un-ask: the root.
Variables and algebra
A letter that stands for a number you do not know yet.
Functions
A machine: one input goes in, one output comes out, every time.
Logic and sets
True and false, and how to combine them; collections of things.
Growth and logarithms
Some things grow slowly, some explode — and the log measures the difference.
Combinatorics
Counting possibilities without listing them one by one.
Probability
Putting a number on how likely something is.
You can see the whole topic now.
Every unit, from the underground to the orbit. Mathematics from zero is one constellation in the atlas — climb another topic and watch the next one light up.