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==== Books ====
==== Books ====


* [https://mathblog.com/pillars-geometry The Four Pillars of Geometry by John Stillwell]
* [https://mathblog.com/pillars-geometry]
* [https://mathblog.com/linear-algebra Linear Algebra Done Right by Sheldon Axler]
* [https://mathblog.com/linear-algebra]


=== Kinds of number in the physical world ===
=== Kinds of number in the physical world ===
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==== Books ====
==== Books ====


* [https://mathblog.com/baby-rudin Principles of Mathematical Analysis, Third Edition by Walter Rudin]
* [https://mathblog.com/baby-rudin]
* [https://mathblog.com/real-analysis Real Analysis by N.L. Carothers]
* [https://mathblog.com/real-analysis]
* [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin]
* [https://mathblog.com/big-rudin]


=== Magical complex numbers ===
==== Geometry of logarithms, powers, and roots ====
Β 
==== Books ====
Β 
* [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]
Β 
=== Geometry of logarithms, powers, and roots ===


==== Videos ====
==== Videos ====


* [https://www.youtube.com/watch?v=mvmuCPvRoWQ Euler’s formula with introduction to group theory]
* [https://www.youtube.com/watch?v=mvmuCPvRoWQ]


==== Books ====
==== Books ====
* [https://mathblog.com/comples-analysis A First Course in Complex Analysis With Applications by Dennis Zill and Patrick Shanahan]
* [https://mathblog.com/comples-analysis]
* [https://mathblog.com/visual-complex Visual Complex Analysis by Tristan Needham]
* [https://mathblog.com/visual-complex]
* [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin]
* [https://mathblog.com/big-rudin]


=== Real-number calculus ===
=== Real-number calculus ===
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==== Videos ====
==== Videos ====


* [https://www.youtube.com/watch?v=WUvTyaaNkzM&list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr The Essence of Calculus]
* [https://www.youtube.com/watch?v=WUvTyaaNkzM&list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr]
* [https://www.youtube.com/watch?v=v0YEaeIClKY Understanding e to the i pi in 3.14 minutes]
* [https://www.youtube.com/watch?v=v0YEaeIClKY]


==== Books====
=== Books===


* [https://mathblog.com/calculus1 Calculus, Vol. 1 by Tom M. Apostol]
* [https://mathblog.com/calculus1]
* [https://mathblog.com/calculus2 Calculus, Vol. 2 by Tom M. Apostol]
* [https://mathblog.com/calculus2]
* [https://mathblog.com/calculus Calculus by Michael Spivak’]
* [https://mathblog.com/calculus]


=== Complex-number calculus ===
=== Complex-number calculus ===
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==== Videos====
==== Videos====


* [https://www.youtube.com/watch?v=sD0NjbwqlYw Visualizing the Riemann hypothesis and analytic continuation]
* [https://www.youtube.com/watch?v=sD0NjbwqlYw]


==== Books ====
==== Books ====


* [https://mathblog.com/comples-analysis A First Course in Complex Analysis With Applications by Dennis Zill and Patrick Shanahan]
* [https://mathblog.com/comples-analysis]
* [https://mathblog.com/visual-complex Visual Complex Analysis by Tristan Needham]
* [https://mathblog.com/visual-complex]
* [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin]
* [https://mathblog.com/big-rudin]


=== Riemann surfaces and complex mappings ===
=== Riemann surfaces and complex mappings ===
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==== Videos ====
==== Videos ====


* [https://www.youtube.com/watch?v=sD0NjbwqlYw Visualizing the Riemann hypothesis and analytic continuation]
* [https://www.youtube.com/watch?v=sD0NjbwqlYw]


==== Books ====
==== Books ====


* [https://mathblog.com/comples-analysis A First Course in Complex Analysis With Applications by Dennis Zill and Patrick Shanahan]
* [https://mathblog.com/comples-analysis]
* [https://mathblog.com/visual-complex Visual Complex Analysis by Tristan Needham]
* [https://mathblog.com/visual-complex]
* [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin]
* [https://mathblog.com/big-rudin]


=== Manifolds of n dimensions ===
=== Manifolds of n dimensions ===
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==== Articles ====
==== Articles ====


* [https://bastian.rieck.me/blog/posts/2019/manifold/ What is a manifold? by Bastian Rieck]
* [https://bastian.rieck.me/blog/posts/2019/manifold/]
* [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]
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