A Reference Guide to The Road to Reality: Difference between revisions

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(Created page with "== Chapter by Chapter == === The Roots of Science === ==== Videos ==== * [https://www.youtube.com/playlist?list=PL8dPuuaLjXtNgK6MZucdYldNkMybYIHKR CrashCourse Philosophy Ep...")
 
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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 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]

Magical complex numbers[edit]

Books[edit]

Geometry of logarithms, powers, and roots[edit]

Videos[edit]

Books[edit]

Real-number calculus[edit]

Videos[edit]

Books[edit]

Complex-number calculus[edit]

Videos[edit]

Books[edit]

Riemann surfaces and complex mappings[edit]

Videos[edit]

Books[edit]

Manifolds of n dimensions[edit]

Articles[edit]