A Reference Guide to The Road to Reality
Chapter by Chapter
The Roots of Science
Videos
An ancient theorem and a modern question
Interactive
Videos
Books
Kinds of number in the physical world
Books
- Principles of Mathematical Analysis, Third Edition by Walter Rudin
- Real Analysis by N.L. Carothers
- Real and Complex Analysis by Walter Rudin
Magical complex numbers
Books
- A First Course in Complex Analysis With Applications by Dennis Zill and Patrick Shanahan
- Visual Complex Analysis by Tristan Needham
- Real and Complex Analysis by Walter Rudin
Geometry of logarithms, powers, and roots
Videos
Books
- A First Course in Complex Analysis With Applications by Dennis Zill and Patrick Shanahan
- Visual Complex Analysis by Tristan Needham
- Real and Complex Analysis by Walter Rudin
Real-number calculus
Videos
Books
- Calculus, Vol. 1 by Tom M. Apostol
- Calculus, Vol. 2 by Tom M. Apostol
- [https://mathblog.com/calculus Calculus by Michael Spivakâ
]
Complex-number calculus
Videos
Books
- A First Course in Complex Analysis With Applications by Dennis Zill and Patrick Shanahan
- Visual Complex Analysis by Tristan Needham
- Real and Complex Analysis by Walter Rudin
Riemann surfaces and complex mappings
Videos
Books
- A First Course in Complex Analysis With Applications by Dennis Zill and Patrick Shanahan
- Visual Complex Analysis by Tristan Needham
- Real and Complex Analysis by Walter Rudin