====== Linear Algebra ======


<tabbox Intuitive> 

<blockquote>Linear algebra gives you mini-spreadsheets for your math equations.

We can take a table of data (a matrix) and create updated tables from the original. It’s the power of a spreadsheet written as an equation.
<cite>[[https://betterexplained.com/articles/linear-algebra-guide/|An Intuitive Guide to Linear Algebra]] by Kalid Azad</cite></blockquote>
  
<tabbox Concrete> 
  * A great introduction is [[https://betterexplained.com/articles/linear-algebra-guide/|An Intuitive Guide to Linear Algebra]] by Kalid Azad
  * For a quick introduction, see https://minireference.com/static/tutorials/linear_algebra_in_4_pages.pdf
  * and http://www.cns.nyu.edu/~eero/NOTES/geomLinAlg.pdf which explains really nicely many linear algebra in geometric terms.
  * For a nice guide, see [[https://www.physicsforums.com/insights/self-study-algebra-linear-algebra|How to Self-study Algebra: Linear Algebra	]]
  * https://graphicallinearalgebra.net
  * [[http://immersivemath.com/ila/index.html|immersive linear algebra]] by J. Ström, K. Åström, and T. Akenine-Möller (free online book)
  * [[https://m.youtube.com/watch?v=kjBOesZCoqc|Essence of Linear Algebra]] video mini-series

Good books are:

  * Linear Algebra Done Right by Sheldon Axler - despite the title a great book.
  * [[http://www.math.brown.edu/~treil/papers/LADW/LADW.html|Linear Algebra Done Wrong]] by Treil - even better than Linear Algebra done Right. 
  * [[https://minireference.com/|No bullshit guide to linear algebra]] by Ivan Savov
  * Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach by John H. Hubbard and Barbara Burke Hubbard - Extremely student friendly, lots of margin notes that talk about the "soft" stuff that's so crucial to the actual practice of math. Reading just the margins jumps your mathematical maturity by 2 years.

A nice video introduction is

  * [[https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab|Essence of linear algebra]] by 3Blue1Brown
 
<tabbox Abstract> 

<note tip>
The motto in this section is: //the higher the level of abstraction, the better//.
</note>

<tabbox Why is it interesting?> 


</tabbox>

{{tag>theories:quantum_theory:quantum_mechanics theories:quantum_theory:quantum_field_theory theories:classical_theories:classical_mechanics}}