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A comment on Ask HN: Learning Maths from the Ground Up.
Herbert Gross' “Calculus Revisited” three-part series.
— https://ocw.mit.edu/courses/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/ — https://ocw.mit.edu/courses/res-18-007-calculus-revisited-multivariable-calculus-fall-2011/ — https://mitocw.ups.edu.ec/resources/res-18-008-calculus-revisited-complex-variables-differential-equations-and-linear-algebra-fall-2011/index.htm
The below is “normal college” math:
Edward Frenkel's Multivariable Calculus lectures:
https://www.youtube.com/playlist?list=PLaLOVNqqD-2GcoO8CLvCb...
Dr. Valerie Hower's Linear Algebra lectures:
https://youtube.com/playlist?list=PLpcwHaLYiaEXW5fLNOlItPH4A...
Interactive Linear Algebra (online “college level” textbook):
https://textbooks.math.gatech.edu/ila/
Tutorial-like Linear Algebra (interactive online textbook):
https://immersivemath.com/ila/index.html
Sheldon Axler's Linear Algebra Done Right book:
https://linear.axler.net/
Sergei Treil's Linear Algebra Done Wrong book:
https://www.math.brown.edu/streil/papers/LADW/LADW-2014-09.p...
Linear algebra and vector calculus revamped:
— Linear and Geometric Algebra by Alan Macdonald: http://www.faculty.luther.edu/~macdonal/laga/index.html
— Vector and Geometric Calculus: http://www.faculty.luther.edu/~macdonal/vagc/index.html
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Herbert Gross' “Calculus Revisited” three-part series.
The above is more or less “engineering math”.The below is “normal college” math:
Edward Frenkel's Multivariable Calculus lectures:
https://www.youtube.com/playlist?list=PLaLOVNqqD-2GcoO8CLvCb...
Dr. Valerie Hower's Linear Algebra lectures:
https://youtube.com/playlist?list=PLpcwHaLYiaEXW5fLNOlItPH4A...
Interactive Linear Algebra (online “college level” textbook):
https://textbooks.math.gatech.edu/ila/
Tutorial-like Linear Algebra (interactive online textbook):
https://immersivemath.com/ila/index.html
Sheldon Axler's Linear Algebra Done Right book:
https://linear.axler.net/
Sergei Treil's Linear Algebra Done Wrong book:
https://www.math.brown.edu/streil/papers/LADW/LADW-2014-09.p...
Linear algebra and vector calculus revamped:
— Linear and Geometric Algebra by Alan Macdonald: http://www.faculty.luther.edu/~macdonal/laga/index.html
— Vector and Geometric Calculus: http://www.faculty.luther.edu/~macdonal/vagc/index.html