Course textbook and companion reader
The Math of Breaking a Curve Down to a Single Instant
Two books, and four ways in.
The course textbook and its history companion, each free to read in a browser and free on Apple Books.
Course Textbook
The Math of Breaking a Curve Down to a Single Instant
A derivative is a rate of change: how fast something moves at one instant, not averaged over a stretch. This course textbook builds that idea from the ground up, then makes it routine, then puts it to work.
Companion Reader
Twenty-Three Centuries, About Thirty People
Most textbooks give the history two sentences. Newton and Leibniz invented calculus, they had a fight about it, now here is the power rule. Both sentences are true and both are badly misleading. The tangent problem and the area problem had been worked on for roughly two thousand years before either man was born.
The rest of the shelf
Every one of them is free, opens in a browser, and keeps working with the wifi off.
