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

@@ Line 1: / Line 1: @@
 == Chapter by Chapter ==
-=== The Roots of Science ===
+=== [[Chapter 1: The roots of science|The Roots of Science]] ===
 ==== Videos ====
@@ Line 7: / Line 7: @@
 * [https://www.youtube.com/playlist?list=PL8dPuuaLjXtNgK6MZucdYldNkMybYIHKR CrashCourse Philosophy Episodes 1-8]
-=== An ancient theorem and a modern question ===
+=== [[Chapter 2: An ancient theorem and a modern question|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 Euclidia]
-* [https://mathcs.clarku.edu/~djoyce/java/elements/elements.html]
+* [https://mathcs.clarku.edu/~djoyce/java/elements/elements.html Euclid’s Elements]
 ==== Videos ====
-* [https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab]
+* [https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab The Essence of Linear Algebra]
 ==== Books ====
-* [https://mathblog.com/pillars-geometry]
+* [https://mathblog.com/pillars-geometry The Four Pillars of Geometry by John Stillwell]
-* [https://mathblog.com/linear-algebra]
+* [https://mathblog.com/linear-algebra Linear Algebra Done Right by Sheldon Axler]
-=== Kinds of number in the physical world ===
+=== [[3 Kinds of numbers in the physical world|Kinds of number in the physical world]] ===
 ==== Books ====
-* [https://mathblog.com/baby-rudin]
+* [https://mathblog.com/baby-rudin Principles of Mathematical Analysis, Third Edition by Walter Rudin]
-* [https://mathblog.com/real-analysis]
+* [https://mathblog.com/real-analysis Real Analysis by N.L. Carothers]
-* [https://mathblog.com/big-rudin]
+* [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin]
-==== Geometry of logarithms, powers, and roots ====
+=== [[4 Magical complex numbers|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]
+=== [[5 Geometry of logarithms, powers, and roots|Geometry of logarithms, powers, and roots]] ===
 ==== Videos ====
-* [https://www.youtube.com/watch?v=mvmuCPvRoWQ]
+* [https://www.youtube.com/watch?v=mvmuCPvRoWQ Euler’s formula with introduction to group theory]
 ==== Books ====
-* [https://mathblog.com/comples-analysis]
+* [https://mathblog.com/comples-analysis A First Course in Complex Analysis With Applications by Dennis Zill and Patrick Shanahan]
-* [https://mathblog.com/visual-complex]
+* [https://mathblog.com/visual-complex Visual Complex Analysis by Tristan Needham]
-* [https://mathblog.com/big-rudin]
+* [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin]
-=== Real-number calculus ===
+=== [[6 Real-number calculus|Real-number calculus]] ===
 ==== Videos ====
-* [https://www.youtube.com/watch?v=WUvTyaaNkzM&list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr]
+* [https://www.youtube.com/watch?v=WUvTyaaNkzM&list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr The Essence of Calculus]
-* [https://www.youtube.com/watch?v=v0YEaeIClKY]
+* [https://www.youtube.com/watch?v=v0YEaeIClKY Understanding e to the i pi in 3.14 minutes]
-=== Books===
+==== Books====
-* [https://mathblog.com/calculus1]
+* [https://mathblog.com/calculus1 Calculus, Vol. 1 by Tom M. Apostol]
-* [https://mathblog.com/calculus2]
+* [https://mathblog.com/calculus2 Calculus, Vol. 2 by Tom M. Apostol]
-* [https://mathblog.com/calculus]
+* [https://mathblog.com/calculus Calculus by Michael Spivak’]
-=== Complex-number calculus ===
+=== [[7 Complex-number calculus|Complex-number calculus]] ===
 ==== Videos====
-* [https://www.youtube.com/watch?v=sD0NjbwqlYw]
+* [https://www.youtube.com/watch?v=sD0NjbwqlYw Visualizing the Riemann hypothesis and analytic continuation]
 ==== Books ====
-* [https://mathblog.com/comples-analysis]
+* [https://mathblog.com/comples-analysis A First Course in Complex Analysis With Applications by Dennis Zill and Patrick Shanahan]
-* [https://mathblog.com/visual-complex]
+* [https://mathblog.com/visual-complex Visual Complex Analysis by Tristan Needham]
-* [https://mathblog.com/big-rudin]
+* [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin]
-=== Riemann surfaces and complex mappings ===
+=== [[8 Riemann surfaces and complex mappings|Riemann surfaces and complex mappings]] ===
 ==== Videos ====
-* [https://www.youtube.com/watch?v=sD0NjbwqlYw]
+* [https://www.youtube.com/watch?v=sD0NjbwqlYw Visualizing the Riemann hypothesis and analytic continuation]
 ==== Books ====
-* [https://mathblog.com/comples-analysis]
+* [https://mathblog.com/comples-analysis A First Course in Complex Analysis With Applications by Dennis Zill and Patrick Shanahan]
-* [https://mathblog.com/visual-complex]
+* [https://mathblog.com/visual-complex Visual Complex Analysis by Tristan Needham]
-* [https://mathblog.com/big-rudin]
+* [https://mathblog.com/big-rudin Real and Complex Analysis by Walter Rudin]
 === Manifolds of n dimensions ===
@@ Line 83: / Line 91: @@
 ==== Articles ====
-* [https://bastian.rieck.me/blog/posts/2019/manifold/]
+* [https://bastian.rieck.me/blog/posts/2019/manifold/ What is a manifold? by Bastian Rieck]
-* [http://pi.math.cornell.edu/~sjamaar/manifolds/manifold.pdf]
+* [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]]