diff options
Diffstat (limited to '')
-rw-r--r-- | documentation/bookmark/math.md | 483 |
1 files changed, 243 insertions, 240 deletions
diff --git a/documentation/bookmark/math.md b/documentation/bookmark/math.md index 760e4d177..3dbafd686 100644 --- a/documentation/bookmark/math.md +++ b/documentation/bookmark/math.md @@ -1,405 +1,408 @@ # Logarithm -1. [Logarithm: The Complete Guide (Theory & Applications)](https://mathvault.ca/logarithm-theory/) +0. [Logarithm: The Complete Guide (Theory & Applications)](https://mathvault.ca/logarithm-theory/) # Ball arithmetic -1. [Ball arithmetic](http://www.texmacs.org/joris/ball/ball.html) +0. [Ball arithmetic](http://www.texmacs.org/joris/ball/ball.html) # Arithmetic -1. [The Definitive Higher Math Guide on Integer Long Division (and Its Variants)](https://mathvault.ca/long-division/) +0. [The Definitive Higher Math Guide on Integer Long Division (and Its Variants)](https://mathvault.ca/long-division/) # Tensor calculus -1. [Introduction to Tensor Calculus](http://www.ita.uni-heidelberg.de/~dullemond/lectures/tensor/tensor.pdf) +0. [Introduction to Tensor Calculus](http://www.ita.uni-heidelberg.de/~dullemond/lectures/tensor/tensor.pdf) # Geometry -1. [Perspectives on Projective Geometry: A Guided Tour through Real and Complex Geometry](https://www-m10.ma.tum.de/foswiki/pub/Lehre/WS0910/ProjektiveGeometrieWS0910/GeomBook.pdf) -1. [Symplectic Geometry for Engineers - Fundamentals](https://www.researchgate.net/publication/338124384_Symplectic_Geometry_for_Engineers_-_Fundamentals) +0. [Perspectives on Projective Geometry: A Guided Tour through Real and Complex Geometry](https://www-m10.ma.tum.de/foswiki/pub/Lehre/WS0910/ProjektiveGeometrieWS0910/GeomBook.pdf) +0. [Symplectic Geometry for Engineers - Fundamentals](https://www.researchgate.net/publication/338124384_Symplectic_Geometry_for_Engineers_-_Fundamentals) # Prime number -1. [The History of the Primality of One: A Selection of Sources](https://cs.uwaterloo.ca/journals/JIS/VOL15/Caldwell2/cald6.pdf) +0. [The History of the Primality of One: A Selection of Sources](https://cs.uwaterloo.ca/journals/JIS/VOL15/Caldwell2/cald6.pdf) # Trigonometry -1. [Approximating the Sine Function](http://datagenetics.com/blog/july12019/index.html) +0. [Approximating the Sine Function](http://datagenetics.com/blog/july12019/index.html) # Period -1. https://en.wikipedia.org/wiki/Ring_of_periods -1. [PERIODS](http://www.ihes.fr/~maxim/TEXTS/Periods.pdf) +0. https://en.wikipedia.org/wiki/Ring_of_periods +0. [PERIODS](http://www.ihes.fr/~maxim/TEXTS/Periods.pdf) # Proof theory -1. [Mathematical Components](https://math-comp.github.io/mcb/) +0. [Mathematical Components](https://math-comp.github.io/mcb/) # Statistics -1. https://www.statisticsdonewrong.com/ +0. https://www.statisticsdonewrong.com/ # Topology -1. [What is Topology?](https://medium.com/cantors-paradise/what-is-topology-963ef4cc6365) -1. [Pointless topology](https://en.wikipedia.org/wiki/Pointless_topology) -1. [ELEMENTARY APPLIED TOPOLOGY](https://www.math.upenn.edu/~ghrist/notes.html) +0. [What is Topology?](https://medium.com/cantors-paradise/what-is-topology-963ef4cc6365) +0. [Pointless topology](https://en.wikipedia.org/wiki/Pointless_topology) +0. [ELEMENTARY APPLIED TOPOLOGY](https://www.math.upenn.edu/~ghrist/notes.html) # Library -1. https://github.com/ZacharyPatten/Towel +0. https://github.com/ZacharyPatten/Towel # Polynomials -1. https://brainbomb.org/0-1-efficient-metholds-for-evaluting-polynomials/ -1. https://en.wikipedia.org/wiki/Horner%27s_method +0. https://brainbomb.org/0-1-efficient-metholds-for-evaluting-polynomials/ +0. https://en.wikipedia.org/wiki/Horner%27s_method # Chaos Theory -1. http://ncase.me/attractors/ +0. http://ncase.me/attractors/ # Number Theory -1. https://twitter.com/johncarlosbaez/status/1184492139897507840 -1. https://en.wikipedia.org/wiki/Division_algebra -1. [Division algebras](https://www.youtube.com/watch?v=3BZyds_KFWM&list=PLNxhIPHaOTRZMO1VjJcs7_3dgyJ2qU1yZ) -1. https://www.quantamagazine.org/the-octonion-math-that-could-underpin-physics-20180720 -1. http://illustratedtheoryofnumbers.com/ -1. [Topology of Numbers](http://pi.math.cornell.edu/~hatcher/TN/TNpage.html) +0. https://twitter.com/johncarlosbaez/status/1184492139897507840 +0. https://en.wikipedia.org/wiki/Division_algebra +0. [Division algebras](https://www.youtube.com/watch?v=3BZyds_KFWM&list=PLNxhIPHaOTRZMO1VjJcs7_3dgyJ2qU1yZ) +0. https://www.quantamagazine.org/the-octonion-math-that-could-underpin-physics-20180720 +0. http://illustratedtheoryofnumbers.com/ +0. [Topology of Numbers](http://pi.math.cornell.edu/~hatcher/TN/TNpage.html) ## Hyperreal number -1. [Yes, You Can Manipulate Infinity—in Math](https://mindmatters.ai/2019/10/yes-you-can-manipulate-infinity-in-math/) +0. [Yes, You Can Manipulate Infinity—in Math](https://mindmatters.ai/2019/10/yes-you-can-manipulate-infinity-in-math/) # Quaternions -1. [Maths - Quaternions](http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/index.htm) -1. [Stepping into a New Dimension: Using Quaternions to See the Invisible](https://medium.com/@vieyrasoftware/stepping-into-a-new-dimension-using-quaternions-to-see-the-invisible-478087c9ebbf) -1. [How Quaternions Produce 3D Rotation](https://penguinmaths.blogspot.com/2019/06/how-quaternions-produce-3d-rotation.html) -1. https://www.3dgep.com/understanding-quaternions/ -1. https://probablydance.com/2017/08/05/intuitive-quaternions/ -1. [Quaternion algebras](https://math.dartmouth.edu/~jvoight/quat.html) -1. [Rotations with quaternions](https://imadr.github.io/rotations-with-quaternions/) +0. [Quaternions: Part 1](https://liorsinai.github.io/mathematics/2021/11/05/quaternion-1-intro.html) +0. [Maths - Quaternions](http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/index.htm) +0. [Stepping into a New Dimension: Using Quaternions to See the Invisible](https://medium.com/@vieyrasoftware/stepping-into-a-new-dimension-using-quaternions-to-see-the-invisible-478087c9ebbf) +0. [How Quaternions Produce 3D Rotation](https://penguinmaths.blogspot.com/2019/06/how-quaternions-produce-3d-rotation.html) +0. https://www.3dgep.com/understanding-quaternions/ +0. https://probablydance.com/2017/08/05/intuitive-quaternions/ +0. [Quaternion algebras](https://math.dartmouth.edu/~jvoight/quat.html) +0. [Rotations with quaternions](https://imadr.github.io/rotations-with-quaternions/) # _Compendium of resources_ -1. [Free and Open-Source Textbooks](http://danaernst.com/resources/free-and-open-source-textbooks/) -1. [ALL IN ONE MATHEMATICS CHEAT SHEET](https://ourway.keybase.pub/mathematics_cheat_sheet.pdf) -1. https://github.com/llSourcell/learn_math_fast -1. https://www.algorithm-archive.org/ -1. [3b1b featured creators #1](https://www.youtube.com/watch?v=VcgJro0sTiM) -1. [An infinite descent into pure mathematics](https://infinitedescent.xyz/) -1. https://hackernoon.com/be-a-better-programmer-with-these-40-mathematics-courses-d8ca48a2f8a2 -1. https://www.intmath.com/ -1. https://en.wikipedia.org/wiki/Graduate_Texts_in_Mathematics +0. [Free and Open-Source Textbooks](http://danaernst.com/resources/free-and-open-source-textbooks/) +0. [ALL IN ONE MATHEMATICS CHEAT SHEET](https://ourway.keybase.pub/mathematics_cheat_sheet.pdf) +0. https://github.com/llSourcell/learn_math_fast +0. https://www.algorithm-archive.org/ +0. [3b1b featured creators #1](https://www.youtube.com/watch?v=VcgJro0sTiM) +0. [An infinite descent into pure mathematics](https://infinitedescent.xyz/) +0. https://hackernoon.com/be-a-better-programmer-with-these-40-mathematics-courses-d8ca48a2f8a2 +0. https://www.intmath.com/ +0. https://en.wikipedia.org/wiki/Graduate_Texts_in_Mathematics # Number systems -1. https://en.wikipedia.org/wiki/Negative_base +0. https://en.wikipedia.org/wiki/Negative_base # Discrete mathematics -1. [Applied Discrete Structures](http://discretemath.org/ads-latex/ads.pdf) -1. [Notes on Discrete Mathematics](http://www.cs.yale.edu/homes/aspnes/classes/202/notes.pdf) -1. [The system of integer functions, an efficient version of discrete mathematical analysis](https://arxiv.org/abs/1710.00676) -1. [Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra](http://math.sfsu.edu/beck/papers/ccd.pdf) -1. [Discrete Mathematics: An Open Introduction](http://discrete.openmathbooks.org/dmoi2/frontmatter.html) +0. [Applied Discrete Structures](http://discretemath.org/ads-latex/ads.pdf) +0. [Notes on Discrete Mathematics](http://www.cs.yale.edu/homes/aspnes/classes/202/notes.pdf) +0. [The system of integer functions, an efficient version of discrete mathematical analysis](https://arxiv.org/abs/1710.00676) +0. [Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra](http://math.sfsu.edu/beck/papers/ccd.pdf) +0. [Discrete Mathematics: An Open Introduction](http://discrete.openmathbooks.org/dmoi2/frontmatter.html) # Probability -1. [Introduction to Probability at anadvanced leve](https://www.stat.berkeley.edu/~aditya/resources/AllLectures2018Fall201A.pdf) +0. [Introduction to Probability at anadvanced leve](https://www.stat.berkeley.edu/~aditya/resources/AllLectures2018Fall201A.pdf) # Linear Algebra -1. [Linear Algebra And Multi Dimensional Geometry](https://mirtitles.org/2020/02/13/4129/) -1. [Interactive Linear Algebra](https://textbooks.math.gatech.edu/ila/) -1. [Don’t invert that matrix](https://www.johndcook.com/blog/2010/01/19/dont-invert-that-matrix/) -1. [“Don’t invert that matrix” – why and how](https://civilstat.com/2015/07/dont-invert-that-matrix-why-and-how/) -1. [Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra](https://kam.mff.cuni.cz/~matousek/stml-53-matousek-1.pdf) -1. [Covectors are Different than Vectors, Usually](http://infohost.nmt.edu/~parendt/Phys509/notes/2diracnot/node4.html) -1. [Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares](https://web.stanford.edu/~boyd/vmls/vmls.pdf) -1. [Linear Algebra Done Wrong.](http://www.math.brown.edu/~treil/papers/LADW/LADW.html) -1. [Linear Algebra Done Right](http://linear.axler.net/) -1. [Down with Determinants!](http://www.axler.net/DwD.html) -1. https://github.com/jacobbogers/blasjs -1. https://graphicallinearalgebra.net/ -1. [Wild Linear Algebra](https://www.youtube.com/watch?v=yAb12PWrhV0&list=PLIljB45xT85BhzJ-oWNug1YtUjfWp1qAp &&& https://www.youtube.com/watch?v=nJdWFoliRnc&list=PLIljB45xT85DF5G-Hq0xPsVUnR5_wJRSw) -1. https://github.com/ferreiradaselva/mathc -1. http://www.fast.ai/2017/07/17/num-lin-alg/ -1. https://github.com/bluemathsoft/bm-linalg -1. [The Matrix Cookbook](https://www.math.uwaterloo.ca/~hwolkowi/matrixcookbook.pdf) -1. https://dhruvp.netlify.com/2018/12/31/matrices/ -1. https://www.nalgebra.org/ -1. http://immersivemath.com/ila/index.html -1. [Linear Logic and Linear Algebra](http://www.cs.bham.ac.uk/~drg/bll/steve.pdf) -1. https://www.math3ma.com/blog/matrices-probability-graphs -1. [Essence of linear algebra](https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab) -1. https://www.dhruvonmath.com/2018/12/31/matrices/ -1. http://blog.ezyang.com/2019/05/a-short-note-about-functional-linear-maps/ -1. https://www.math3ma.com/blog/matrices-as-tensor-network-diagrams -1. [Convolution is outer product](https://arxiv.org/abs/1905.01289) -1. [Graphical Calculus for products and convolutions](https://arxiv.org/abs/1903.01366) -1. [3 Point Parameterization of Affine Transform](https://www.catid.io/affine3) +0. [Linear Algebra And Multi Dimensional Geometry](https://mirtitles.org/2020/02/13/4129/) +0. [Interactive Linear Algebra](https://textbooks.math.gatech.edu/ila/) +0. [Don’t invert that matrix](https://www.johndcook.com/blog/2010/01/19/dont-invert-that-matrix/) +0. [“Don’t invert that matrix” – why and how](https://civilstat.com/2015/07/dont-invert-that-matrix-why-and-how/) +0. [Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra](https://kam.mff.cuni.cz/~matousek/stml-53-matousek-1.pdf) +0. [Covectors are Different than Vectors, Usually](http://infohost.nmt.edu/~parendt/Phys509/notes/2diracnot/node4.html) +0. [Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares](https://web.stanford.edu/~boyd/vmls/vmls.pdf) +0. [Linear Algebra Done Wrong.](http://www.math.brown.edu/~treil/papers/LADW/LADW.html) +0. [Linear Algebra Done Right](http://linear.axler.net/) +0. [Down with Determinants!](http://www.axler.net/DwD.html) +0. https://github.com/jacobbogers/blasjs +0. https://graphicallinearalgebra.net/ +0. [Wild Linear Algebra](https://www.youtube.com/watch?v=yAb12PWrhV0&list=PLIljB45xT85BhzJ-oWNug1YtUjfWp1qAp &&& https://www.youtube.com/watch?v=nJdWFoliRnc&list=PLIljB45xT85DF5G-Hq0xPsVUnR5_wJRSw) +0. https://github.com/ferreiradaselva/mathc +0. http://www.fast.ai/2017/07/17/num-lin-alg/ +0. https://github.com/bluemathsoft/bm-linalg +0. [The Matrix Cookbook](https://www.math.uwaterloo.ca/~hwolkowi/matrixcookbook.pdf) +0. https://dhruvp.netlify.com/2018/12/31/matrices/ +0. https://www.nalgebra.org/ +0. http://immersivemath.com/ila/index.html +0. [Linear Logic and Linear Algebra](http://www.cs.bham.ac.uk/~drg/bll/steve.pdf) +0. https://www.math3ma.com/blog/matrices-probability-graphs +0. [Essence of linear algebra](https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab) +0. https://www.dhruvonmath.com/2018/12/31/matrices/ +0. http://blog.ezyang.com/2019/05/a-short-note-about-functional-linear-maps/ +0. https://www.math3ma.com/blog/matrices-as-tensor-network-diagrams +0. [Convolution is outer product](https://arxiv.org/abs/1905.01289) +0. [Graphical Calculus for products and convolutions](https://arxiv.org/abs/1903.01366) +0. [3 Point Parameterization of Affine Transform](https://www.catid.io/affine3) # Domain Theory -1. [A Brief Intro to Domain Theory](https://www.alignmentforum.org/posts/4C4jha5SdReWgg7dF/a-brief-intro-to-domain-theory) +0. [A Brief Intro to Domain Theory](https://www.alignmentforum.org/posts/4C4jha5SdReWgg7dF/a-brief-intro-to-domain-theory) # Category Theory -1. [Programming with Categories](https://www.youtube.com/watch?v=Y5YCE_mVjvg&list=PLhgq-BqyZ7i7MTGhUROZy3BOICnVixETS&index=1) -1. [Awesome Applied Category Theory](https://github.com/statebox/awesome-applied-ct) -1. [Categorical Query Language](https://www.categoricaldata.net/) -1. [Abstract and Concrete Categories: The Joy of Cats](http://katmat.math.uni-bremen.de/acc/acc.pdf) -1. https://bartoszmilewski.com/ -1. [YOW! Lambda Jam 2018 - Mark Hopkins -All of Basic Category Theory](https://www.youtube.com/watch?v=9u1q3lH7VbE) -1. [Categorifying cardinal arithmetic](http://www.math.jhu.edu/~eriehl/arithmetic.pdf) -1. https://bartoszmilewski.com/2014/10/28/category-theory-for-programmers-the-preface/ -1. [Elements of ∞-Category Theory](http://www.math.jhu.edu/~eriehl/elements.pdf) -1. [Category Theory: A Gentle Introduction](https://www.logicmatters.net/resources/pdfs/GentleIntro.pdf) -1. [Applied Category Theory (@ MIT 2019)](https://www.youtube.com/playlist?list=PLhgq-BqyZ7i5lOqOqqRiS0U5SwTmPpHQ5) -1. https://jvns.ca/blog/2019/03/26/what-are-monoidal-categories/ -1. [Daniela Sfregola - A Pragmatic Introduction to Category Theories - Code Mesh 2017](https://www.youtube.com/watch?v=8XGFFMPHG0o) -1. [Seven Sketches in Compositionality: An Invitation to Applied Category Theory](http://xahlee.info/math/i/category_theory_brendan_fong_david_spivak_2018-03.pdf) +0. [Programming with Categories](https://www.youtube.com/watch?v=Y5YCE_mVjvg&list=PLhgq-BqyZ7i7MTGhUROZy3BOICnVixETS&index=1) +0. [Awesome Applied Category Theory](https://github.com/statebox/awesome-applied-ct) +0. [Categorical Query Language](https://www.categoricaldata.net/) +0. [Abstract and Concrete Categories: The Joy of Cats](http://katmat.math.uni-bremen.de/acc/acc.pdf) +0. https://bartoszmilewski.com/ +0. [YOW! Lambda Jam 2018 - Mark Hopkins -All of Basic Category Theory](https://www.youtube.com/watch?v=9u1q3lH7VbE) +0. [Categorifying cardinal arithmetic](http://www.math.jhu.edu/~eriehl/arithmetic.pdf) +0. https://bartoszmilewski.com/2014/10/28/category-theory-for-programmers-the-preface/ +0. [Elements of ∞-Category Theory](http://www.math.jhu.edu/~eriehl/elements.pdf) +0. [Category Theory: A Gentle Introduction](https://www.logicmatters.net/resources/pdfs/GentleIntro.pdf) +0. [Applied Category Theory (@ MIT 2019)](https://www.youtube.com/playlist?list=PLhgq-BqyZ7i5lOqOqqRiS0U5SwTmPpHQ5) +0. https://jvns.ca/blog/2019/03/26/what-are-monoidal-categories/ +0. [Daniela Sfregola - A Pragmatic Introduction to Category Theories - Code Mesh 2017](https://www.youtube.com/watch?v=8XGFFMPHG0o) +0. [Seven Sketches in Compositionality: An Invitation to Applied Category Theory](http://xahlee.info/math/i/category_theory_brendan_fong_david_spivak_2018-03.pdf) # Direct Logic -1. [Strong Types for Direct Logic](https://drive.google.com/file/d/1relKFB4aOMD2VZHM9qj3wWMXOq-q2AJr/view) +0. [Strong Types for Direct Logic](https://drive.google.com/file/d/1relKFB4aOMD2VZHM9qj3wWMXOq-q2AJr/view) # Geometric Algebra | Clifford Algebra -1. [Siggraph2019 Geometric Algebra](https://www.youtube.com/watch?v=tX4H_ctggYo) -1. [Dr Leo Dorst' Keynote talk at CGI2020](https://www.youtube.com/watch?v=T7xVTBpHMjA) -1. [GAME2020 - 1. Dr. Leo Dorst. Get Real!](https://www.youtube.com/watch?v=0fF2xToQmgs) -1. [GAME2020 3. Professor Anthony Lasenby. A new language for physics.](https://www.youtube.com/watch?v=x7eLEtmq6PY) -1. [HestenesJMM2019](https://www.youtube.com/watch?v=zsQQ7djCg_Y) -1. http://geocalc.clas.asu.edu/ -1. [Geometric Algebra](https://arxiv.org/abs/1205.5935) -1. [A Swift Introduction to Geometric Algebra](https://www.youtube.com/watch?v=60z_hpEAtD8) -1. [Euclidean Geometry and Geometric Algebra](http://geometry.mrao.cam.ac.uk/2020/06/euclidean-geometry-and-geometric-algebra/) -1. [Plane-based Geometric Algebra for Computer Science](https://bivector.net/PGA4CS.html) -1. [Differential geometric algebra foundations: Grassmann.jl Ascend](https://www.youtube.com/watch?v=7hlDRLEhc8o&feature=youtu.be) -1. [Projective Geometric Algebra Done Right](http://terathon.com/blog/projective-geometric-algebra-done-right/) -1. [Introduction to Clifford Algebra](https://www.av8n.com/physics/clifford-intro.htm) -1. [An Introduction to Geometric Algebra over R^2](https://bitworking.org/news/ga/2d) -1. [Exterior Product](https://medium.com/@marksaroufim/exterior-product-ecd5836c28ab) -1. [Projective geometric algebra: A modern framework for doing geometry](http://page.math.tu-berlin.de/~gunn/PGA/index.html) -1. [Geometric Algebra for Computer Graphics](https://slides.com/enkimute/siggraph/#/) -1. https://bivector.net/ -1. https://slehar.wordpress.com/2014/03/18/clifford-algebra-a-visual-introduction/ -1. [Vectors and Beyond: Geometric Algebra and its Philosophical Significance](http://www.tara.tcd.ie/bitstream/handle/2262/61825/Vectors%20and%20Beyond%20as%20Printed.pdf?sequence=1&isAllowed=y) -1. [Let's remove Quaternions from every 3D Engine](http://marctenbosch.com/quaternions/) -1. [Geometric Algebra Playlist](https://www.youtube.com/playlist?list=PLLvlxwbzkr7igd6bL7959WWE7XInCCevt) -1. https://github.com/wolftype/versor -1. [Exploring Physics with Geometric Algebra, Book 1](http://peeterjoot.com/archives/math2015/gabookI.pdf) -1. [Joan Lasenby on Applications of Geometric Algebra in Engineering](https://www.youtube.com/watch?v=ikCIUzX9myY) -1. https://www.amazon.com/Geometric-Algebra-Computer-Graphics-Vince/dp/1846289963 -1. https://www.amazon.com/Geometric-Algebra-Computer-Science-Revised/dp/0123749425 -1. https://www.amazon.com/Space-Time-Algebra-David-Hestenes/dp/3319184121 -1. https://www.amazon.com/Introduction-Clifford-Algebras-Spinors/dp/0198782926 -1. https://gist.github.com/pervognsen/b204bf31af0809af078617af1609c8b8 -1. [Fundamentals of Grassmann Algebra](http://www.terathon.com/gdc12_lengyel.pdf) -1. https://github.com/chakravala/Grassmann.jl +0. [Symplectic Geometry meets Geometric Algebra in 2D](https://www.researchgate.net/publication/356781838_Symplectic_Geometry_meets_Geometric_Algebra_in_2D) +0. [Siggraph2019 Geometric Algebra](https://www.youtube.com/watch?v=tX4H_ctggYo) +0. [Dr Leo Dorst' Keynote talk at CGI2020](https://www.youtube.com/watch?v=T7xVTBpHMjA) +0. [GAME2020 - 1. Dr. Leo Dorst. Get Real!](https://www.youtube.com/watch?v=0fF2xToQmgs) +0. [GAME2020 3. Professor Anthony Lasenby. A new language for physics.](https://www.youtube.com/watch?v=x7eLEtmq6PY) +0. [HestenesJMM2019](https://www.youtube.com/watch?v=zsQQ7djCg_Y) +0. http://geocalc.clas.asu.edu/ +0. [Geometric Algebra](https://arxiv.org/abs/1205.5935) +0. [A Swift Introduction to Geometric Algebra](https://www.youtube.com/watch?v=60z_hpEAtD8) +0. [Euclidean Geometry and Geometric Algebra](http://geometry.mrao.cam.ac.uk/2020/06/euclidean-geometry-and-geometric-algebra/) +0. [Plane-based Geometric Algebra for Computer Science](https://bivector.net/PGA4CS.html) +0. [Differential geometric algebra foundations: Grassmann.jl Ascend](https://www.youtube.com/watch?v=7hlDRLEhc8o&feature=youtu.be) +0. [Projective Geometric Algebra Done Right](http://terathon.com/blog/projective-geometric-algebra-done-right/) +0. [Introduction to Clifford Algebra](https://www.av8n.com/physics/clifford-intro.htm) +0. [An Introduction to Geometric Algebra over R^2](https://bitworking.org/news/ga/2d) +0. [Exterior Product](https://medium.com/@marksaroufim/exterior-product-ecd5836c28ab) +0. [Projective geometric algebra: A modern framework for doing geometry](http://page.math.tu-berlin.de/~gunn/PGA/index.html) +0. [Geometric Algebra for Computer Graphics](https://slides.com/enkimute/siggraph/#/) +0. https://bivector.net/ +0. https://slehar.wordpress.com/2014/03/18/clifford-algebra-a-visual-introduction/ +0. [Vectors and Beyond: Geometric Algebra and its Philosophical Significance](http://www.tara.tcd.ie/bitstream/handle/2262/61825/Vectors%20and%20Beyond%20as%20Printed.pdf?sequence=1&isAllowed=y) +0. [Let's remove Quaternions from every 3D Engine](http://marctenbosch.com/quaternions/) +0. [Geometric Algebra Playlist](https://www.youtube.com/playlist?list=PLLvlxwbzkr7igd6bL7959WWE7XInCCevt) +0. https://github.com/wolftype/versor +0. [Exploring Physics with Geometric Algebra, Book 1](http://peeterjoot.com/archives/math2015/gabookI.pdf) +0. [Joan Lasenby on Applications of Geometric Algebra in Engineering](https://www.youtube.com/watch?v=ikCIUzX9myY) +0. https://www.amazon.com/Geometric-Algebra-Computer-Graphics-Vince/dp/1846289963 +0. https://www.amazon.com/Geometric-Algebra-Computer-Science-Revised/dp/0123749425 +0. https://www.amazon.com/Space-Time-Algebra-David-Hestenes/dp/3319184121 +0. https://www.amazon.com/Introduction-Clifford-Algebras-Spinors/dp/0198782926 +0. https://gist.github.com/pervognsen/b204bf31af0809af078617af1609c8b8 +0. [Fundamentals of Grassmann Algebra](http://www.terathon.com/gdc12_lengyel.pdf) +0. https://github.com/chakravala/Grassmann.jl # Abstract Algebra -1. [A Brief Guide to A Few Algebraic Structures](https://argumatronic.com//posts/2019-06-21-algebra-cheatsheet.html) -1. [DUALITY FOR GROUPS](https://projecteuclid.org/download/pdf_1/euclid.bams/1183515045) -1. https://gowers.wordpress.com/2011/11/20/normal-subgroups-and-quotient-groups/ -1. [Abstract Algebra: Theory and Applications](http://abstract.ups.edu/) -1. [Group Theory](http://birdtracks.eu/version9.0/GroupTheory.pdf) -1. [VISUAL GROUP THEORY](http://web.bentley.edu/empl/c/ncarter/vgt/index.html) -1. [THE GEOMETRY OF REFLECTION GROUPS](http://people.mpim-bonn.mpg.de/geordie/mpg.pdf) -1. https://kubuszok.com/2018/algebras-we-love/ -1. [Notes on Computational Group Theory](https://www.math.colostate.edu/~hulpke/CGT/cgtnotes.pdf) -1. [An Invitation to General Algebra and Universal Constructions](https://math.berkeley.edu/~gbergman/245/) +0. [A Brief Guide to A Few Algebraic Structures](https://argumatronic.com//posts/2019-06-21-algebra-cheatsheet.html) +0. [DUALITY FOR GROUPS](https://projecteuclid.org/download/pdf_1/euclid.bams/1183515045) +0. https://gowers.wordpress.com/2011/11/20/normal-subgroups-and-quotient-groups/ +0. [Abstract Algebra: Theory and Applications](http://abstract.ups.edu/) +0. [Group Theory](http://birdtracks.eu/version9.0/GroupTheory.pdf) +0. [VISUAL GROUP THEORY](http://web.bentley.edu/empl/c/ncarter/vgt/index.html) +0. [THE GEOMETRY OF REFLECTION GROUPS](http://people.mpim-bonn.mpg.de/geordie/mpg.pdf) +0. https://kubuszok.com/2018/algebras-we-love/ +0. [Notes on Computational Group Theory](https://www.math.colostate.edu/~hulpke/CGT/cgtnotes.pdf) +0. [An Invitation to General Algebra and Universal Constructions](https://math.berkeley.edu/~gbergman/245/) # Logic -1. http://openlogicproject.org/ +0. http://openlogicproject.org/ # Calculus -1. [The Fractional Derivative, what is it? | Introduction to Fractional Calculus](https://www.youtube.com/watch?v=A4sTAKN6yFA) -1. [Calculus on Manifolds](http://strangebeautiful.com/other-texts/spivak-calc-manifolds.pdf) -1. [Calculus BLUE](https://www.youtube.com/watch?v=Jes5jwLl1q8&list=PL8erL0pXF3JYm7VaTdKDaWc8Q3FuP8Sa7) -1. [Extending the Algebraic Manipulability of Differentials](https://arxiv.org/abs/1801.09553) -1. https://en.wikipedia.org/wiki/Fractional_calculus -1. https://medium.com/@notaredpanda/fractional-calculus-48192f4e9c9f -1. [Fractional Calculus: Theory and Applications](https://www.mdpi.com/books/pdfview/book/755) -1. [EXTENDING THE ALGEBRAIC MANIPULABILITYOF DIFFERENTIALS](http://online.watsci.org/abstract_pdf/2019v26/v26n3a-pdf/4.pdf) -1. [Finite Calculus: A Tutorial for Solving Nasty Sums](https://www.cs.purdue.edu/homes/dgleich/publications/Gleich%202005%20-%20finite%20calculus.pdf) -1. http://jliszka.github.io/2013/10/24/exact-numeric-nth-derivatives.html +0. [What is Jacobian? | The right way of thinking derivatives and integrals](https://www.youtube.com/watch?v=wCZ1VEmVjVo) +0. [The Fractional Derivative, what is it? | Introduction to Fractional Calculus](https://www.youtube.com/watch?v=A4sTAKN6yFA) +0. [Calculus on Manifolds](http://strangebeautiful.com/other-texts/spivak-calc-manifolds.pdf) +0. [Calculus BLUE](https://www.youtube.com/watch?v=Jes5jwLl1q8&list=PL8erL0pXF3JYm7VaTdKDaWc8Q3FuP8Sa7) +0. [Extending the Algebraic Manipulability of Differentials](https://arxiv.org/abs/1801.09553) +0. https://en.wikipedia.org/wiki/Fractional_calculus +0. https://medium.com/@notaredpanda/fractional-calculus-48192f4e9c9f +0. [Fractional Calculus: Theory and Applications](https://www.mdpi.com/books/pdfview/book/755) +0. [EXTENDING THE ALGEBRAIC MANIPULABILITYOF DIFFERENTIALS](http://online.watsci.org/abstract_pdf/2019v26/v26n3a-pdf/4.pdf) +0. [Finite Calculus: A Tutorial for Solving Nasty Sums](https://www.cs.purdue.edu/homes/dgleich/publications/Gleich%202005%20-%20finite%20calculus.pdf) +0. http://jliszka.github.io/2013/10/24/exact-numeric-nth-derivatives.html # Continuous Calculus -1. [Continuous Calculus](http://www-users.math.umn.edu/~olver/ln_/cc.pdf) +0. [Continuous Calculus](http://www-users.math.umn.edu/~olver/ln_/cc.pdf) # Octonion -1. http://math.ucr.edu/home/baez/octonions/ +0. http://math.ucr.edu/home/baez/octonions/ # Differential Geometry -1. [differential geometry reconstructed: a unified systematic framework](http://www.geometry.org/tex/conc/dgstats.php) -1. [Differential geometry reconstructed: a unified systematic framework](http://www.topology.org/tex/conc/dg.html) +0. [differential geometry reconstructed: a unified systematic framework](http://www.geometry.org/tex/conc/dgstats.php) +0. [Differential geometry reconstructed: a unified systematic framework](http://www.topology.org/tex/conc/dg.html) # Information Theory -1. [Functional Bits: Lambda Calculus based Algorithmic Information Theory](https://tromp.github.io/cl/LC.pdf) +0. [Functional Bits: Lambda Calculus based Algorithmic Information Theory](https://tromp.github.io/cl/LC.pdf) # Graph Theory -1. [Graphs and Geometry](http://web.cs.elte.hu/~lovasz/bookxx/geomgraphbook/geombook2019.01.11.pdf) -1. [Graph-Based Algorithms for Boolean Function Manipulation](http://mtv.ece.ucsb.edu/courses/ece156B_14/randy_obdd86.pdf) -1. [better geometry through graph theory](http://ideolalia.com/2018/08/28/artifex.html) +0. [Graphs and Geometry](http://web.cs.elte.hu/~lovasz/bookxx/geomgraphbook/geombook2019.01.11.pdf) +0. [Graph-Based Algorithms for Boolean Function Manipulation](http://mtv.ece.ucsb.edu/courses/ece156B_14/randy_obdd86.pdf) +0. [better geometry through graph theory](http://ideolalia.com/2018/08/28/artifex.html) # Division by Zero -1. [29. Dividing by zero to invert matrices](https://graphicallinearalgebra.net/2016/06/22/29-inverting-matrices-and-dividing-by-zero/) -1. https://www.hillelwayne.com/post/divide-by-zero/ -1. https://www.1dividedby0.com/ +0. [29. Dividing by zero to invert matrices](https://graphicallinearalgebra.net/2016/06/22/29-inverting-matrices-and-dividing-by-zero/) +0. https://www.hillelwayne.com/post/divide-by-zero/ +0. https://www.1dividedby0.com/ # Partial Fractions -1. https://jaydaigle.net/blog/calculus/easier-partial-fractions/ +0. https://jaydaigle.net/blog/calculus/easier-partial-fractions/ # Non-commutative Algebra -1. [An Invitation to Noncommutative Algebra](https://arxiv.org/abs/1808.03172) +0. [An Invitation to Noncommutative Algebra](https://arxiv.org/abs/1808.03172) # Lambda Calculus -1. https://medium.com/@maiavictor/the-abstract-calculus-fe8c46bcf39c +0. https://medium.com/@maiavictor/the-abstract-calculus-fe8c46bcf39c # _Software Library_ -1. https://github.com/arguiot/TheoremJS -1. https://github.com/arguiot/Descartes +0. https://github.com/arguiot/TheoremJS +0. https://github.com/arguiot/Descartes # Set Theory -1. [Set Theory and Algebra in Computer Science: A Gentle Introduction to Mathematical Modeling](https://pdfs.semanticscholar.org/d106/6b6de601c1d7d5af25af3f7091bc7ad3ad51.pdf) +0. [Set Theory and Algebra in Computer Science: A Gentle Introduction to Mathematical Modeling](https://pdfs.semanticscholar.org/d106/6b6de601c1d7d5af25af3f7091bc7ad3ad51.pdf) # Uncertainty Theory -1. http://faculty.math.tsinghua.edu.cn/~bliu/ut.pdf -1. [An Introduction to the Mathematics of Uncertainty: including Set Theory, Logic, Probability, Fuzzy Sets, Rough Sets, and Evidence Theory](https://www.creighton.edu/fileadmin/user/CCAS/programs/fuzzy_math/docs/MOU.pdf) +0. http://faculty.math.tsinghua.edu.cn/~bliu/ut.pdf +0. [An Introduction to the Mathematics of Uncertainty: including Set Theory, Logic, Probability, Fuzzy Sets, Rough Sets, and Evidence Theory](https://www.creighton.edu/fileadmin/user/CCAS/programs/fuzzy_math/docs/MOU.pdf) # Computational Geometry -1. [CMPT 813: Computational Geometry (Fall 2011)](http://www.cs.sfu.ca/~binay/813.2011/) -1. https://www.johndcook.com/blog/2018/09/26/polygon-area/ -1. http://s2geometry.io/devguide/s2cell_hierarchy.html -1. http://alienryderflex.com/polygon/ -1. https://libigl.github.io/ +0. [CMPT 813: Computational Geometry (Fall 2011)](http://www.cs.sfu.ca/~binay/813.2011/) +0. https://www.johndcook.com/blog/2018/09/26/polygon-area/ +0. http://s2geometry.io/devguide/s2cell_hierarchy.html +0. http://alienryderflex.com/polygon/ +0. https://libigl.github.io/ # Finitism -1. ["REAL" ANALYSIS Is A DEGENERATE CASE of DISCRETE ANALYSIS](http://sites.math.rutgers.edu/~zeilberg/mamarim/mamarimPDF/real.pdf) +0. ["REAL" ANALYSIS Is A DEGENERATE CASE of DISCRETE ANALYSIS](http://sites.math.rutgers.edu/~zeilberg/mamarim/mamarimPDF/real.pdf) # Linear programming -1. https://en.wikibooks.org/wiki/GLPK -1. https://white.ucc.asn.au/2018/05/28/Optimizing-your-diet-with-JuMP.html +0. https://en.wikibooks.org/wiki/GLPK +0. https://white.ucc.asn.au/2018/05/28/Optimizing-your-diet-with-JuMP.html # Measure theory -1. [Resources for Learning Measure Theory](https://bcmullins.github.io/measure_theory_resources/) +0. [Resources for Learning Measure Theory](https://bcmullins.github.io/measure_theory_resources/) # Combinatorics -1. [Advances in Combinatorics](https://www.advancesincombinatorics.com/) -1. http://andy.kitchen/combinations.html -1. [Combinatorial Algorithms](http://www2.denizyuret.com/bib/kreher/donald1999combinatorial/combinatorialA.pdf) +0. [Advances in Combinatorics](https://www.advancesincombinatorics.com/) +0. http://andy.kitchen/combinations.html +0. [Combinatorial Algorithms](http://www2.denizyuret.com/bib/kreher/donald1999combinatorial/combinatorialA.pdf) # Vector -1. [A Student's Guide to Vectors and Tensors (Student's Guides)](https://www.amazon.com/Students-Guide-Vectors-Tensors-Guides/dp/0521171903) -1. https://www.researchgate.net/publication/327989714_Coordinate_Free_Vector_Algebra_in_R2 +0. [A Student's Guide to Vectors and Tensors (Student's Guides)](https://www.amazon.com/Students-Guide-Vectors-Tensors-Guides/dp/0521171903) +0. https://www.researchgate.net/publication/327989714_Coordinate_Free_Vector_Algebra_in_R2 # Knot theory -1. [KNOT THEORY and ITS APPLICATIONS](https://www.maths.ed.ac.uk/~v1ranick/papers/murasug3.pdf) -1. [Primes and Knots - Akshay Venkatesh](https://www.youtube.com/watch?v=jvoYgNYKyk0) -1. [The Knot Book](http://math.harvard.edu/~ctm/home/text/books/adams/knot_book/knot_book.pdf) +0. [KNOT THEORY and ITS APPLICATIONS](https://www.maths.ed.ac.uk/~v1ranick/papers/murasug3.pdf) +0. [Primes and Knots - Akshay Venkatesh](https://www.youtube.com/watch?v=jvoYgNYKyk0) +0. [The Knot Book](http://math.harvard.edu/~ctm/home/text/books/adams/knot_book/knot_book.pdf) # Axiom -1. [INTRODUCTION TO AXIOMATIC REASONING](http://www.math.harvard.edu/~mazur/papers/Axiomatic.pdf) +0. [INTRODUCTION TO AXIOMATIC REASONING](http://www.math.harvard.edu/~mazur/papers/Axiomatic.pdf) # Differential equations -1. [ELEMENTARY DIFFERENTIAL EQUATIONS](http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_FREE_DIFFEQ_I.PDF) -1. [Lecture Notes on Difference Equations](http://people.math.aau.dk/~matarne/11-imat/notes2011a.pdf) +0. [ELEMENTARY DIFFERENTIAL EQUATIONS](http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_FREE_DIFFEQ_I.PDF) +0. [Lecture Notes on Difference Equations](http://people.math.aau.dk/~matarne/11-imat/notes2011a.pdf) # Algebraic geometry -1. http://nautil.us/issue/69/patterns/the-math-that-takes-newton-into-the-quantum-world -1. [Algebraic Geometry](http://www.mathematik.uni-kl.de/~gathmann/class/alggeom-2014/main.pdf) -1. https://en.wikipedia.org/wiki/Superformula +0. http://nautil.us/issue/69/patterns/the-math-that-takes-newton-into-the-quantum-world +0. [Algebraic Geometry](http://www.mathematik.uni-kl.de/~gathmann/class/alggeom-2014/main.pdf) +0. https://en.wikipedia.org/wiki/Superformula # Physics -1. https://www.researchgate.net/publication/309533409_Beyond_Einstein_non-local_physics -1. https://www.theoretical-physics.com/dev/index.html +0. https://www.researchgate.net/publication/309533409_Beyond_Einstein_non-local_physics +0. https://www.theoretical-physics.com/dev/index.html # Spherical trigonometry -1. https://en.wikipedia.org/wiki/Haversine_formula +0. https://en.wikipedia.org/wiki/Haversine_formula # Hyperbolic geometry -1. [Intuitive Guide to Hyperbolic Functions](https://betterexplained.com/articles/hyperbolic-functions/) -1. [Hyperbolic Functions and Non-Hyperbolic Claims](https://elliptigon.com/hyperbolic-functions-explained/) +0. [Intuitive Guide to Hyperbolic Functions](https://betterexplained.com/articles/hyperbolic-functions/) +0. [Hyperbolic Functions and Non-Hyperbolic Claims](https://elliptigon.com/hyperbolic-functions-explained/) # **Temp Cache** -1. https://mathlets.org/mathlets/ -1. [Quadratic splines are useful too](https://wordsandbuttons.online/quadric_splines_are_useful_too.html) -1. [Derivations of Applied Mathematics](http://www.derivations.org/) -1. https://www.juliahomotopycontinuation.org/ -1. https://marginalrevolution.com/marginalrevolution/2018/05/one-parameter-equation-can-exactly-fit-scatter-plot.html -1. https://plato.stanford.edu/entries/mathematics-inconsistent/ -1. http://immersivemath.com/ila/index.html?m=1 -1. https://stacks.math.columbia.edu/ -1. http://www.gutenberg.org/ebooks/17384 -1. http://illustratedtheoryofnumbers.com/ -1. [Construction of the Transreal Numbers and Algebraic Transfields](http://www.iaeng.org/IJAM/issues_v46/issue_1/IJAM_46_1_03.pdf) -1. http://simit-lang.org/language -1. http://wykobi.com/tutorial0.html -1. https://pron.github.io/computation-logic-algebra -1. https://github.com/rossant/awesome-math -1. [Algebra, Topology, Differential Calculus, and Optimization Theory For Computer Science and Engineering](https://www.cis.upenn.edu/~jean/math-basics.pdf) -1. http://math.chapman.edu/~jipsen/structures/doku.php/ -1. http://stacks.math.columbia.edu/browse -1. https://bitworking.org/news/ga/2d -1. https://www.youtube.com/watch?v=OmJ-4B-mS-Y -1. https://www.youtube.com/watch?v=ZihywtixUYo -1. https://www.youtube.com/user/njwildberger -1. http://www.hedonisticlearning.com/posts/category-theory-syntactically.html -1. https://www.youtube.com/watch?v=EA1FFtTGAfw&list=PLSekr_gm4hWLRNHB5-sbajyUzN5tLOZmx -1. https://www.artofproblemsolving.com/wiki/index.php/Modular_arithmetic/Introduction -1. [Mathematics for Computer Science](https://courses.csail.mit.edu/6.042/spring17/mcs.pdf) -1. http://www.paultaylor.eu/ASD/foufct/ -1. [Toward the Unification of Physics and Number Theory](http://www.quantumgravityresearch.org/wp-content/uploads/2017/02/Toward-the-Unification-of-Physics2-1.pdf) -1. https://jeremykun.com/2014/03/13/programming-with-finite-fields/ -1. https://courses.cs.washington.edu/courses/cse590b/13au/ -1. http://magma.maths.usyd.edu.au/magma/ -1. [A VIEW OF MATHEMATICS](http://www.alainconnes.org/docs/maths.pdf) -1. [Introduction to Tensor Analysis and the Calculus of Moving Surfaces](https://www.amazon.com/gp/product/1461478669) -1. https://en.wikipedia.org/wiki/Wheel_theory -1. http://wordsandbuttons.online/interactive_guide_to_homogeneous_coordinates.html -1. https://a-guide-to-the-purescript-numeric-hierarchy.readthedocs.io/en/latest/index.html -1. http://blog.wolfram.com/2016/12/22/the-semantic-representation-of-pure-mathematics/ -1. https://www.youtube.com/watch?v=psSyM1zp82k -1. [Viviane Pons - Experimental pure mathematics using Sage - PyCon 2015](https://www.youtube.com/watch?v=3LZiZKgVjaU) -1. http://www.sagemath.org/ -1. [The axioms of constructive geometry](https://www.sciencedirect.com/science/article/pii/0168007295000052) -1. https://www.quora.com/What-is-it-like-to-understand-advanced-mathematics-Does-it-feel-analogous-to-having-mastery-of-another-language-like-in-programming-or-linguistics/answers/873950?share=1 -1. http://www.tricki.org/tricki/map -1. https://maxow.github.io/posts/computational-geometry-set-operations-on-polytopes.html -1. http://blog.robertelder.org/fast-multiplication-using-fourier-transform/ -1. [Graphical Models in a Nutshell](https://ai.stanford.edu/~koller/Papers/Koller+al:SRL07.pdf) +0. https://mathlets.org/mathlets/ +0. [Quadratic splines are useful too](https://wordsandbuttons.online/quadric_splines_are_useful_too.html) +0. [Derivations of Applied Mathematics](http://www.derivations.org/) +0. https://www.juliahomotopycontinuation.org/ +0. https://marginalrevolution.com/marginalrevolution/2018/05/one-parameter-equation-can-exactly-fit-scatter-plot.html +0. https://plato.stanford.edu/entries/mathematics-inconsistent/ +0. http://immersivemath.com/ila/index.html?m=1 +0. https://stacks.math.columbia.edu/ +0. http://www.gutenberg.org/ebooks/17384 +0. http://illustratedtheoryofnumbers.com/ +0. [Construction of the Transreal Numbers and Algebraic Transfields](http://www.iaeng.org/IJAM/issues_v46/issue_1/IJAM_46_1_03.pdf) +0. http://simit-lang.org/language +0. http://wykobi.com/tutorial0.html +0. https://pron.github.io/computation-logic-algebra +0. https://github.com/rossant/awesome-math +0. [Algebra, Topology, Differential Calculus, and Optimization Theory For Computer Science and Engineering](https://www.cis.upenn.edu/~jean/math-basics.pdf) +0. http://math.chapman.edu/~jipsen/structures/doku.php/ +0. http://stacks.math.columbia.edu/browse +0. https://bitworking.org/news/ga/2d +0. https://www.youtube.com/watch?v=OmJ-4B-mS-Y +0. https://www.youtube.com/watch?v=ZihywtixUYo +0. https://www.youtube.com/user/njwildberger +0. http://www.hedonisticlearning.com/posts/category-theory-syntactically.html +0. https://www.youtube.com/watch?v=EA1FFtTGAfw&list=PLSekr_gm4hWLRNHB5-sbajyUzN5tLOZmx +0. https://www.artofproblemsolving.com/wiki/index.php/Modular_arithmetic/Introduction +0. [Mathematics for Computer Science](https://courses.csail.mit.edu/6.042/spring17/mcs.pdf) +0. http://www.paultaylor.eu/ASD/foufct/ +0. [Toward the Unification of Physics and Number Theory](http://www.quantumgravityresearch.org/wp-content/uploads/2017/02/Toward-the-Unification-of-Physics2-1.pdf) +0. https://jeremykun.com/2014/03/13/programming-with-finite-fields/ +0. https://courses.cs.washington.edu/courses/cse590b/13au/ +0. http://magma.maths.usyd.edu.au/magma/ +0. [A VIEW OF MATHEMATICS](http://www.alainconnes.org/docs/maths.pdf) +0. [Introduction to Tensor Analysis and the Calculus of Moving Surfaces](https://www.amazon.com/gp/product/1461478669) +0. https://en.wikipedia.org/wiki/Wheel_theory +0. http://wordsandbuttons.online/interactive_guide_to_homogeneous_coordinates.html +0. https://a-guide-to-the-purescript-numeric-hierarchy.readthedocs.io/en/latest/index.html +0. http://blog.wolfram.com/2016/12/22/the-semantic-representation-of-pure-mathematics/ +0. https://www.youtube.com/watch?v=psSyM1zp82k +0. [Viviane Pons - Experimental pure mathematics using Sage - PyCon 2015](https://www.youtube.com/watch?v=3LZiZKgVjaU) +0. http://www.sagemath.org/ +0. [The axioms of constructive geometry](https://www.sciencedirect.com/science/article/pii/0168007295000052) +0. https://www.quora.com/What-is-it-like-to-understand-advanced-mathematics-Does-it-feel-analogous-to-having-mastery-of-another-language-like-in-programming-or-linguistics/answers/873950?share=1 +0. http://www.tricki.org/tricki/map +0. https://maxow.github.io/posts/computational-geometry-set-operations-on-polytopes.html +0. http://blog.robertelder.org/fast-multiplication-using-fourier-transform/ +0. [Graphical Models in a Nutshell](https://ai.stanford.edu/~koller/Papers/Koller+al:SRL07.pdf) |