# Mathematics ## Educational Youtube channels * [3Blue1Brown](https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw) * [Numberphile](https://www.youtube.com/user/numberphile/featured) * [Stand-up Maths](https://www.youtube.com/user/standupmaths) * [Mathologer](https://www.youtube.com/c/Mathologer) * [PBS Infinite Series](https://www.youtube.com/c/pbsinfiniteseries/featured) ([discontinued](https://www.youtube.com/watch?v=UIwnCoqx91Q)) * [Mathmaniac](https://www.youtube.com/channel/UCrlZs71h3mTR45FgQNINfrg) * [Veritasium](https://www.youtube.com/c/veritasium/featured) * [Vsauce](https://www.youtube.com/channel/UC6nSFpj9HTCZ5t-N3Rm3-HA) * [Tibees](https://www.youtube.com/user/tibees/featured) * [Eddie Woo](https://youtube.com/c/misterwootube) * ## Vector Calculus 1. [A Visual, Intuitive Guide to Imaginary Numbers](https://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/) 2. [Intuitive Arithmetic With Complex Numbers](https://betterexplained.com/articles/intuitive-arithmetic-with-complex-numbers/) 3. [Understanding Why Complex Multiplication Works](https://betterexplained.com/articles/understanding-why-complex-multiplication-works/) 4. [Intuitive Guide to Angles, Degrees and Radians](https://betterexplained.com/articles/intuitive-guide-to-angles-degrees-and-radians/) 5. [Intuitive Understanding Of Euler's Formula](https://betterexplained.com/articles/intuitive-understanding-of-eulers-formula/) 6. [An Interactive Guide To The Fourier Transform](https://betterexplained.com/articles/an-interactive-guide-to-the-fourier-transform/) 7. [Intuitive Understanding of Sine Waves](https://betterexplained.com/articles/intuitive-understanding-of-sine-waves/) 8. [An Intuitive Guide to Linear Algebra](https://betterexplained.com/articles/linear-algebra-guide/) 9. [A Programmer's Intuition for Matrix Multiplication](https://betterexplained.com/articles/matrix-multiplication/) 10. [Imaginary Multiplication vs. Imaginary Exponents](https://betterexplained.com/articles/imaginary-multiplication-exponents/) ## Calculus 1. [A Gentle Introduction To Learning Calculus](https://betterexplained.com/articles/a-gentle-introduction-to-learning-calculus/) 2. [Understanding Calculus With A Bank Account Metaphor](https://betterexplained.com/articles/understanding-calculus-with-a-bank-account-metaphor/) 3. [Prehistoric Calculus: Discovering Pi](https://betterexplained.com/articles/prehistoric-calculus-discovering-pi/) 4. [A Calculus Analogy: Integrals as Multiplication](https://betterexplained.com/articles/a-calculus-analogy-integrals-as-multiplication/) 5. [Calculus: Building Intuition for the Derivative](https://betterexplained.com/articles/calculus-building-intuition-for-the-derivative/) 6. [How To Understand Derivatives: The Product, Power & Chain Rules](https://betterexplained.com/articles/derivatives-product-power-chain/) 7. [How To Understand Derivatives: The Quotient Rule, Exponents, and Logarithms](https://betterexplained.com/articles/how-to-understand-derivatives-the-quotient-rule-exponents-and-logarithms/) 8. [An Intuitive Introduction To Limits](https://betterexplained.com/articles/an-intuitive-introduction-to-limits/) 9. [Intuition for Taylor Series (DNA Analogy)](https://betterexplained.com/articles/taylor-series/) 10. [Why Do We Need Limits and Infinitesimals?](https://betterexplained.com/articles/why-do-we-need-limits-and-infinitesimals/) 11. [Learning Calculus: Overcoming Our Artificial Need for Precision](https://betterexplained.com/articles/learning-calculus-overcoming-our-artifical-need-for-precision/) 12. [A Friendly Chat About Whether 0.999... = 1](https://betterexplained.com/articles/a-friendly-chat-about-whether-0-999-1/) 13. [Analogy: The Calculus Camera](https://betterexplained.com/articles/analogy-calculus-camera/) 14. [Abstraction Practice: Calculus Graphs](https://betterexplained.com/articles/abstraction-practice-calculus-graphs/) 15. [Quick Insight: Easier Arithmetic With Calculus](https://betterexplained.com/articles/calculus-arithmetic/) 16. [How to Add 1 through 100 using Calculus](https://betterexplained.com/articles/how-to-add-1-to-100-using-calculus/) 17. [Integral of Sin(x): Geometric Intuition](https://betterexplained.com/articles/integral-sinx/) ## Linear Algebra * Essense of Linear algrebrea: * [Introduction to Linear Algebra for Applied Machine Learning with Python](https://pabloinsente.github.io/intro-linear-algebra) ## General * So You Want to Study Mathematics… * Recommendations by 3blue1brown: * Pauls online math notes - * Mathworld from wolfram alpha - * [A Gentle Introduction to Tensors](https://www.ese.wustl.edu/~nehorai/Porat_A_Gentle_Introduction_to_Tensors_2014.pdf) by *Boaz Porat* * [Algebra: An Elementary Text-Book](http://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp36404) by [*George Chrystal*](https://en.wikipedia.org/wiki/George_Chrystal) * [Approved Textbooks](https://aimath.org/textbooks/approved-textbooks) of the [*American Institute of Mathematics*](https://aimath.org/) * [Book of Proof](https://www.people.vcu.edu/~rhammack/BookOfProof), Third Edition by *Richard Hammack* * [Books by *Dr. Kenneth Kuttler*](https://klkuttler.com/) * [Calculus Made Easy](http://calculusmadeeasy.org/) by [*Silvanus P. Thompson*](https://en.wikipedia.org/wiki/Silvanus_P._Thompson) * [Category Theory for Programmers](https://bartoszmilewski.com/2014/10/28/category-theory-for-programmers-the-preface) by *Bartosz Milewski* * [Euclid's Elements](https://mathcs.clarku.edu/~djoyce/java/elements/toc.html) * [Immersive Linear Algebra](http://immersivemath.com/ila/index.html) by *J. Ström, K. Åström, and T. Akenine-Möller* * [Interactive Linear Algebra](http://textbooks.math.gatech.edu/ila) by *Dan Margalit and Joseph Rabinoff* * [Introduction to Theoretical Computer Science](https://introtcs.org) by [*Boaz Barak*](https://en.wikipedia.org/wiki/Boaz_Barak) * [Seeing Theory](https://seeing-theory.brown.edu) - a book about statistics with interactive visualizations by *Daniel Kunin, Jingru Guo, Tyler Dae Devlin, and Daniel Xiang* * Math as code -