Difference between revisions of "A Reference Guide to The Road to Reality"
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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] | |||
* [https://mathcs.clarku.edu/~djoyce/java/elements/elements.html] | |||
==== Videos ==== | |||
* [https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab] | |||
==== Books ==== | |||
* [https://mathblog.com/pillars-geometry] | |||
* [https://mathblog.com/linear-algebra] | |||
=== Kinds of number in the physical world === | |||
==== Books ==== | |||
* [https://mathblog.com/baby-rudin] | |||
* [https://mathblog.com/real-analysis] | |||
* [https://mathblog.com/big-rudin] | |||
==== Geometry of logarithms, powers, and roots === | |||
==== Videos ==== | |||
* [https://www.youtube.com/watch?v=mvmuCPvRoWQ] | |||
==== Books ===== | |||
* [https://mathblog.com/comples-analysis] | |||
* [https://mathblog.com/visual-complex] | |||
* [https://mathblog.com/big-rudin] | |||
=== Real-number calculus === | |||
==== Videos ==== | |||
* [https://www.youtube.com/watch?v=WUvTyaaNkzM&list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr] | |||
* [https://www.youtube.com/watch?v=v0YEaeIClKY] | |||
=== Books=== | |||
* [https://mathblog.com/calculus1] | |||
* [https://mathblog.com/calculus2] | |||
* [https://mathblog.com/calculus] | |||
=== Complex-number calculus === | |||
==== Videos==== | |||
* [https://www.youtube.com/watch?v=sD0NjbwqlYw] | |||
==== Books ==== | |||
* [https://mathblog.com/comples-analysis] | |||
* [https://mathblog.com/visual-complex] | |||
* [https://mathblog.com/big-rudin] | |||
=== Riemann surfaces and complex mappings === | |||
==== Videos ==== | |||
* [https://www.youtube.com/watch?v=sD0NjbwqlYw] | |||
==== Books ==== | |||
* [https://mathblog.com/comples-analysis] | |||
* [https://mathblog.com/visual-complex] | |||
* [https://mathblog.com/big-rudin] | |||
=== Manifolds of n dimensions === | |||
==== Articles ==== | |||
* [https://bastian.rieck.me/blog/posts/2019/manifold/] | |||
* [http://pi.math.cornell.edu/~sjamaar/manifolds/manifold.pdf] | |||