basic_tools:linear_algebra
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basic_tools:linear_algebra [2017/11/11 10:57] jakobadmin [Student] |
basic_tools:linear_algebra [2018/05/05 15:19] (current) jakobadmin [Concrete] |
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| ====== Linear Algebra ====== | ====== Linear Algebra ====== | ||
| - | <tabbox Why is it interesting?> | ||
| - | <tabbox Layman> | + | <tabbox Intuitive> |
| - | <note tip> | + | <blockquote>Linear algebra gives you mini-spreadsheets for your math equations. |
| - | Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party. | + | |
| - | </note> | + | 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> | ||
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| - | <tabbox Student> | + | <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 | * 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 ]] | * 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: | Good books are: | ||
| - | * Linear Algebra Done Right by Sheldon Axler | + | * 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 | * [[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. | ||
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| + | A nice video introduction is | ||
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| + | * [[https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab|Essence of linear algebra]] by 3Blue1Brown | ||
| - | <tabbox Researcher> | + | <tabbox Abstract> |
| <note tip> | <note tip> | ||
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| </note> | </note> | ||
| - | --> Common Question 1# | + | <tabbox Why is it interesting?> |
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| - | --> Common Question 2# | ||
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| - | <tabbox Examples> | ||
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| - | --> Example1# | ||
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| - | --> Example2:# | ||
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| - | <tabbox History> | ||
| </tabbox> | </tabbox> | ||
| + | {{tag>theories:quantum_theory:quantum_mechanics theories:quantum_theory:quantum_field_theory theories:classical_theories:classical_mechanics}} | ||
basic_tools/linear_algebra.1510394250.txt.gz · Last modified: 2017/12/04 08:01 (external edit)
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