Mathematics

Educational Youtube channels

• 3Blue1Brown

• Numberphile

• Stand-up Maths

• Mathologer

• PBS Infinite Series (discontinued)

• Mathmaniac

• Veritasium

• Vsauce

• Tibees

• Eddie Woo

• https://www.youtube.com/user/vihart

Vector Calculus

1. A Visual, Intuitive Guide to Imaginary Numbers

2. Intuitive Arithmetic With Complex Numbers

3. Understanding Why Complex Multiplication Works

4. Intuitive Guide to Angles, Degrees and Radians

5. Intuitive Understanding Of Euler's Formula

6. An Interactive Guide To The Fourier Transform

7. Intuitive Understanding of Sine Waves

8. An Intuitive Guide to Linear Algebra

9. A Programmer's Intuition for Matrix Multiplication

10. Imaginary Multiplication vs. Imaginary Exponents

Calculus

1. A Gentle Introduction To Learning Calculus

2. Understanding Calculus With A Bank Account Metaphor

3. Prehistoric Calculus: Discovering Pi

4. A Calculus Analogy: Integrals as Multiplication

5. Calculus: Building Intuition for the Derivative

6. How To Understand Derivatives: The Product, Power & Chain Rules

7. How To Understand Derivatives: The Quotient Rule, Exponents, and Logarithms

8. An Intuitive Introduction To Limits

9. Intuition for Taylor Series (DNA Analogy)

10. Why Do We Need Limits and Infinitesimals?

11. Learning Calculus: Overcoming Our Artificial Need for Precision

12. A Friendly Chat About Whether 0.999... = 1

13. Analogy: The Calculus Camera

14. Abstraction Practice: Calculus Graphs

15. Quick Insight: Easier Arithmetic With Calculus

16. How to Add 1 through 100 using Calculus

17. Integral of Sin(x): Geometric Intuition

Linear Algebra

• Essense of Linear algrebrea: https://www.3blue1brown.com/essence-of-linear-algebra-page/

• Introduction to Linear Algebra for Applied Machine Learning with Python

General

• So You Want to Study Mathematics… https://www.susanrigetti.com/math

• Recommendations by 3blue1brown: https://www.3blue1brown.com/recommendations

• Pauls online math notes - https://tutorial.math.lamar.edu/

• Mathworld from wolfram alpha - https://mathworld.wolfram.com/

• A Gentle Introduction to Tensors by Boaz Porat

• Algebra: An Elementary Text-Book by George Chrystal

• Approved Textbooks of the American Institute of Mathematics

• Book of Proof, Third Edition by Richard Hammack

• Books by Dr. Kenneth Kuttler

• Calculus Made Easy by Silvanus P. Thompson

• Category Theory for Programmers by Bartosz Milewski

• Euclid's Elements

• Immersive Linear Algebra by J. Ström, K. Åström, and T. Akenine-Möller

• Interactive Linear Algebra by Dan Margalit and Joseph Rabinoff

• Introduction to Theoretical Computer Science by Boaz Barak

• Seeing Theory - a book about statistics with interactive visualizations by Daniel Kunin, Jingru Guo, Tyler Dae Devlin, and Daniel Xiang

• Math as code - https://github.com/Jam3/math-as-code