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

@@ Line 20: / Line 20: @@
 ==== 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 ===
@@ Line 27: / Line 27: @@
 ==== 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 ====
+=== 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]
+* [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 ===
@@ Line 46: / Line 54: @@
 ==== 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 ===
@@ Line 59: / Line 67: @@
 ==== 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 ===
@@ Line 71: / Line 79: @@
 ==== 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]]