Difference between revisions of "A Reference Guide to The Road to Reality"
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* [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin] | * [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin] | ||
=== Geometry of logarithms, powers, and roots === | |||
==== Videos ==== | ==== Videos ==== | ||
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* [https://www.youtube.com/watch?v=v0YEaeIClKY Understanding e to the i pi in 3.14 minutes] | * [https://www.youtube.com/watch?v=v0YEaeIClKY Understanding e to the i pi in 3.14 minutes] | ||
=== Books=== | ==== Books==== | ||
* [https://mathblog.com/calculus1 Calculus, Vol. 1 by Tom M. Apostol] | * [https://mathblog.com/calculus1 Calculus, Vol. 1 by Tom M. Apostol] | ||
* [https://mathblog.com/calculus2 Calculus, Vol. 2 by Tom M. Apostol] | * [https://mathblog.com/calculus2 Calculus, Vol. 2 by Tom M. Apostol] | ||
* [https://mathblog.com/calculus Calculus by Michael Spivak’ | * [https://mathblog.com/calculus Calculus by Michael Spivak’] | ||
] | |||
=== Complex-number calculus === | === Complex-number calculus === | ||
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* [https://bastian.rieck.me/blog/posts/2019/manifold/ What is a manifold? by Bastian Rieck] | * [https://bastian.rieck.me/blog/posts/2019/manifold/ What is a manifold? by Bastian Rieck] | ||
* [http://pi.math.cornell.edu/~sjamaar/manifolds/manifold.pdf Manifolds and Differential Forms lecture notes by Reyer Sjamaar] | * [http://pi.math.cornell.edu/~sjamaar/manifolds/manifold.pdf Manifolds and Differential Forms lecture notes by Reyer Sjamaar] | ||
[[Category:Graph, Wall, Tome]] | |||
[[Category:Pages for Merging]] | |||
Latest revision as of 23:11, 28 October 2020
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
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