A Reference Guide to The Road to Reality: Difference between revisions
(Created page with "== Chapter by Chapter == === The Roots of Science === ==== Videos ==== * [https://www.youtube.com/playlist?list=PL8dPuuaLjXtNgK6MZucdYldNkMybYIHKR CrashCourse Philosophy Ep...") Â |
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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 === | |||
==== Interactive ==== | |||
* [https://mathcs.clarku.edu/~djoyce/java/elements/elements.html Euclidia] | |||
* [https://mathcs.clarku.edu/~djoyce/java/elements/elements.html Euclid’s Elements] | |||
==== Videos ==== | |||
* [https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab The Essence of Linear Algebra] | |||
==== Books ==== | |||
* [https://mathblog.com/pillars-geometry The Four Pillars of Geometry by John Stillwell] | |||
* [https://mathblog.com/linear-algebra Linear Algebra Done Right by Sheldon Axler] | |||
=== Kinds of number in the physical world === | |||
==== Books ==== | |||
* [https://mathblog.com/baby-rudin Principles of Mathematical Analysis, Third Edition by Walter Rudin] | |||
* [https://mathblog.com/real-analysis Real Analysis by N.L. Carothers] | |||
* [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin] | |||
=== Magical complex numbers === | |||
==== Books ==== | |||
* [https://mathblog.com/comples-analysis A First Course in Complex Analysis With Applications by Dennis Zill and Patrick Shanahan] | |||
* [https://mathblog.com/visual-complex Visual Complex Analysis by Tristan Needham] | |||
* [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin] | |||
=== Geometry of logarithms, powers, and roots === | |||
==== Videos ==== | |||
* [https://www.youtube.com/watch?v=mvmuCPvRoWQ Euler’s formula with introduction to group theory] | |||
==== Books ==== | |||
* [https://mathblog.com/comples-analysis A First Course in Complex Analysis With Applications by Dennis Zill and Patrick Shanahan] | |||
* [https://mathblog.com/visual-complex Visual Complex Analysis by Tristan Needham] | |||
* [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin] | |||
=== Real-number calculus === | |||
==== Videos ==== | |||
* [https://www.youtube.com/watch?v=WUvTyaaNkzM&list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr The Essence of Calculus] | |||
* [https://www.youtube.com/watch?v=v0YEaeIClKY Understanding e to the i pi in 3.14 minutes] | |||
==== Books==== | |||
* [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/calculus Calculus by Michael Spivak’] | |||
=== Complex-number calculus === | |||
==== Videos==== | |||
* [https://www.youtube.com/watch?v=sD0NjbwqlYw Visualizing the Riemann hypothesis and analytic continuation] | |||
==== Books ==== | |||
* [https://mathblog.com/comples-analysis A First Course in Complex Analysis With Applications by Dennis Zill and Patrick Shanahan] | |||
* [https://mathblog.com/visual-complex Visual Complex Analysis by Tristan Needham] | |||
* [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin] | |||
=== Riemann surfaces and complex mappings === | |||
==== Videos ==== | |||
* [https://www.youtube.com/watch?v=sD0NjbwqlYw Visualizing the Riemann hypothesis and analytic continuation] | |||
==== Books ==== | |||
* [https://mathblog.com/comples-analysis A First Course in Complex Analysis With Applications by Dennis Zill and Patrick Shanahan] | |||
* [https://mathblog.com/visual-complex Visual Complex Analysis by Tristan Needham] | |||
* [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin] | |||
=== Manifolds of n dimensions === | |||
==== Articles ==== | |||
* [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] | |||
[[Category:Graph, Wall, Tome]] | |||
[[Category:Pages for Merging]] | |||
Latest revision as of 23:11, 28 October 2020
Chapter by ChapterEdit
The Roots of ScienceEdit
VideosEdit
An ancient theorem and a modern questionEdit
InteractiveEdit
VideosEdit
BooksEdit
Kinds of number in the physical worldEdit
BooksEdit
- Principles of Mathematical Analysis, Third Edition by Walter Rudin
- Real Analysis by N.L. Carothers
- Real and Complex Analysis by Walter Rudin
Magical complex numbersEdit
BooksEdit
- 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 rootsEdit
VideosEdit
BooksEdit
- 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 calculusEdit
VideosEdit
BooksEdit
Complex-number calculusEdit
VideosEdit
BooksEdit
- 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 mappingsEdit
VideosEdit
BooksEdit
- 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