Megan WarrenMath Books

All seven books

Course textbook and companion reader

Integrals

The Math of Building a Whole Back Up from Infinite Pieces

Two books.
The course textbook and its history companion, both free to read in a browser, and on Apple Books as each one lands there.

Cover of Integrals: The Math of Building a Whole Back Up from Infinite Pieces, by Megan Warren.

Course Textbook

Integrals

The Math of Building a Whole Back Up from Infinite Pieces

An integral builds a whole back up out of infinitely many pieces. This course textbook starts with rectangles under a curve and does not stop until that one idea is computing volumes, arc lengths, work, and probability.

  • 42 sections
  • 12 interactive widgets
  • 546 hints
  • 342 worked solutions
Read it in your browserThe interactive widgets and the Ask the TA chat live here Apple BooksPublished, and the store link is still propagating

Cover of The History of Calculus: Twenty-Three Centuries, About Thirty People, by Megan Warren.

Companion Reader

The History of Calculus

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.

  • 12 chapters
  • 340 dated events
  • 11 appendices and a glossary
  • Companion to both calculus courses

The rest of the shelf

There are 5 more

Every one of them is free, opens in a browser, and keeps working with the wifi off.

See all seven books