A Reference Guide to The Road to Reality: Difference between revisions
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== Chapter by Chapter == | == Chapter by Chapter == | ||
=== The Roots of Science === | === [[Chapter 1: The roots of science|The Roots of Science]] === | ||
==== Videos ==== | ==== Videos ==== | ||
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* [https://www.youtube.com/playlist?list=PL8dPuuaLjXtNgK6MZucdYldNkMybYIHKR CrashCourse Philosophy Episodes 1-8] | * [https://www.youtube.com/playlist?list=PL8dPuuaLjXtNgK6MZucdYldNkMybYIHKR CrashCourse Philosophy Episodes 1-8] | ||
=== An ancient theorem and a modern question === | === [[Chapter 2: An ancient theorem and a modern question|An ancient theorem and a modern question]] === | ||
==== Interactive ==== | ==== Interactive ==== | ||
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* [https://mathblog.com/linear-algebra Linear Algebra Done Right by Sheldon Axler] | * [https://mathblog.com/linear-algebra Linear Algebra Done Right by Sheldon Axler] | ||
=== Kinds of number in the physical world === | === [[3 Kinds of numbers in the physical world|Kinds of number in the physical world]] === | ||
==== Books ==== | ==== Books ==== | ||
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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] | ||
=== Magical complex numbers === | === [[4 Magical complex numbers|Magical complex numbers]] === | ||
==== Books ==== | ==== Books ==== | ||
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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 === | === [[5 Geometry of logarithms, powers, and roots|Geometry of logarithms, powers, and roots]] === | ||
==== Videos ==== | ==== Videos ==== | ||
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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] | ||
=== Real-number calculus === | === [[6 Real-number calculus|Real-number calculus]] === | ||
==== Videos ==== | ==== Videos ==== | ||
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* [https://mathblog.com/calculus Calculus by Michael Spivak’] | * [https://mathblog.com/calculus Calculus by Michael Spivak’] | ||
=== Complex-number calculus === | === [[7 Complex-number calculus|Complex-number calculus]] === | ||
==== Videos==== | ==== Videos==== | ||
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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] | ||
=== Riemann surfaces and complex mappings === | === [[8 Riemann surfaces and complex mappings|Riemann surfaces and complex mappings]] === | ||
==== Videos ==== | ==== Videos ==== | ||
Latest revision as of 02:50, 25 November 2025
Chapter by Chapter[edit]
The Roots of Science[edit]
Videos[edit]
An ancient theorem and a modern question[edit]
Interactive[edit]
Videos[edit]
Books[edit]
Kinds of number in the physical world[edit]
Books[edit]
- 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[edit]
Books[edit]
- 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[edit]
Videos[edit]
Books[edit]
- 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[edit]
Videos[edit]
Books[edit]
Complex-number calculus[edit]
Videos[edit]
Books[edit]
- 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[edit]
Videos[edit]
Books[edit]
- 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