
An engaging introduction to vectors and matrices and the algorithms that operate on them, intended for the student who knows how to program. Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by doing, writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site, codingthematrix.com provides data and support code. Most of the assignments can be auto-graded online. Over two hundred illustrations, including a selection of relevant xkcd comics. Chapters: The Function, The Field, The Vector, The Vector Space, The Matrix, The Basis, Dimension, Gaussian Elimination, The Inner Product, Special Bases, The Singular Value Decomposition, The Eigenvector, The Linear Program
- Matrix Arcade (https://yizhe-ang.github.io/matrix-explorable//)
- Computational Discovery on Jupyter (https://computational-discovery-on-jupyter.github.io/Computa...)
- Nature Inspired Programming Recipes (https://github.com/clever-algorithms/CleverAlgorithms)
- A Little Calculus (https://papl.cs.brown.edu/2018/func-as-data.html#%28part._.A...)
- The Matrix in Computer Science (https://cs.brown.edu/courses/cs053/current/lectures.htm)
- Discrete Mathematics and Functional Programming (https://cs.wheaton.edu/~tvandrun/dmfp/)
- A Programmer's Introduction to Mathematics (https://pimbook.org/)
- Complexity Explorer (https://www.complexityexplorer.org/)
- Learn Physics with Functional Programming (https://nostarch.com/learn-physics-functional-programming)
- Seeing Theory (https://seeing-theory.brown.edu/)
- Coding The Matrix (https://codingthematrix.com/)
Target audience? -- is journey a story in which 'instructions/learning' are actions used to get the reader to partake in story? aka humanities novel as wrapper to 70's wall of documentation volumes.
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> Should I just focus on creating the content and making sure it’s useful/valuable and treat the book as just another method of presentation?
Is this for a 'Go Forth' TeD book of the month talk?
Any further clarification on type theory / category background? (cs, art, architecture, fonts, LaTex, ascii, utf, ...)
"The Power of Making Thinking Visible: Practices to Engage and Empower All Learners" by Ron Ritchhart (Author), Mark Church (Author)
"The Elements of Style" by William Strunk Jr. (Author), E. B. White (Author)
"Thinking with Type: Critical Guide for Designers, Writers, Editors, & Students Paperback" by Ellen Lupton
"Unleash the Power of Storytelling: Win Hearts, Change Minds, Get Results" by Rob Biesenbach
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> ... book just a nice to have thing? Wide variety of catecorical/topi types.
Physicall book can be less expensive / less hassel than mangaging drmo on elecronic tablet/format only to have reference auto-erased. Dont have to worry about battery leaking/exploding. Thankfully, electronic formats allow for circumventing the imaginary wierd mechanics of trying to carry around wall's worth of pearls within multiple physical book encylopedia volumes without spending one's life working out at gym to be able to effortlessly carry/handle the encylopedia volume(s).
Categorical/Topi 'sea' type stuff:
"Alice in Wonderland" by Lewis Carol;
"Alice in Puzzle-Land: A Carrollian Tale for Children Under Eighty" by Raymond M. Smullyan
"To Mock a Mockingbird" by Raymond Smullyan;
"The New Turing Omnibus: Sixty-Six Excursions in Computer Science" by A.K. Dewdney
"Once Upon an Algorithm: How Stories Explain Computing" by Martin Erwig
"The Annotated Gödel: A Reader's Guide to his Classic Paper on Logic and Incompleteness Paperback" by Hal Prince (Author)
"Gödel, Escher, Bach: An Eternal Golden Braid" by Douglas R Hofstadter
"Information Theory: A Tutorial Introduction (2nd Edition)" by James V Stone
"An Introduction to Information Theory: Symbols, Signals and Noise" Subsequent Edition by John R. Pierce
"Coding the Matrix: Linear Algebra through Applications to Computer Science" by Philip N. Klein
"Land of Lisp: Learn to Program in Lisp, One Game at a Time!" by Conrad Barski M.D.
"Build Your Own Lisp" by Mr Daniel Holden
"LISP IS MY FAVORITE LANGUAGE IN LIFE FOUR MONTHS TO LEARN: Funny beginner's noteook to Learn LISP Programming Step-by-Step(PROGRAMMING LANGUAGE)"
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"Coding The Matrix: Linear Algebra Through Computer Science Applications" https://codingthematrix.com/
It used to be on Coursera too, has video lectures and a book to go with it.
https://www.youtube.com/playlist?list=PLEhMEyM9jSinRHXJgRCOL...
- For intuition: https://www.youtube.com/watch?v=fNk_zzaMoSs
- For rigor: https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010...
- For code: https://codingthematrix.com/
- For numerical/algorithmic details: https://people.maths.ox.ac.uk/trefethen/text.html
Coding the Matrix: Linear Algebra through Applications to Computer Science