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

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 * [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]]