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Julia: Introductions and Philosophy: TED Talk: - A Programming Language To Heal The Planet Together: Julia by Alan Edelman Julia coauthor Introduction to Julia for Pythonistas - by John Pearson Getting Started With Julia Julia Playlist at YouTube TIOBE Index - Julia at # 36 as of November 2021 Programming for Mathematical Applications - uses Julia (by Per-Olof Persson and Robert Sweeney Blanco) University of Cambridge (yes, that one!) Computer-Aided Teaching of All Mathematics (CATAM) Introduction to Julia for CATAM Julia References: The Julia Language - home download Julia here Julia Documentation Julia Cheatsheet - The Fast Track to Julia MATLAB-Julia-Python Cheatsheet - quantecon.org Julia Data Science eBook - 2021, pdf, 168 pages Julia Unicode Characters - for backslash tab completion Named Colors in Julia Julia Packages (roughly in order used in MIT Computational Thinking & Udemy Zero to Expert courses.) (* recommended packages to add via package manager when starting a new project, ymmv) : JuliaPackages.com - bills itself as a "one-stop-shop" InteractiveUtils - loaded automatically in "interactive mode" i.e. CLI Command Line (CLI) Options ------------------------------------------------------------- *Pluto The "User Notebook" (see main Pluto topic below) *PlutoUI i.e. "User Interface" (see main Pluto topic below) --------------------------Plots------------------------------- *Plots - at JuliaPlots.org Plots Tutorial - at JuliaPlots.org Plots Gallery - modeled after Matlab plot gallery Plots Cheatsheet - at github Plotly - (cloud) *PlotlyJS - (local) a visualization library MakiePlots LightGraphs GraphPlot RecipesBase GraphRecipes -------------------------Images------------------------------ ImageMagick ImageFiltering - blur, sharp, etc., plus non-linear filters ImageIO ImageShow Colors ColorVectorSpace ColorSchemes Images - example: show Mandlebrot set using CPU, ref.: doggydot video ------------------------Utilities------------------------------ DelimitedFiles - standard library, reading files inc. csv files FileIO HypertextLiteral LaTeXStrings BenchmarkTools Pringf - standard library, print formatting Underscores WebIO WAV - read/write WAV audio files CUDA - main interface for working with NVIDIA CUDA GPUs using Julia. -----------------------Linear Algebra-------------------------- Standard Linear Algebra Library LinearAlgebra Built-in Matrix Factorizations (decompositions) - list Singular Value Decomposition (SVD) - wiki ~ more OffsetArrays - change indices StaticArrays MappedArrays Sparse Matrices: SparseArrays - built-in Sparse Matrices in Julia - rsweeney GLM - linear models and generalized linear models -----------------------Data-------------------------- *DataFrames - documentation CSV Tables BrowseTables inc. HTMLTable() useful in Pluto Arrow - Apache Arrow Home Page - in-memory data processing VegaLite - plot package, stat plots (implementation of Vega = visualization grammar - Vega home ~ VegaLite home) Vega-Lite supports both data transformations (e.g., aggregation, binning, filtering, sorting) and visual transformations (e.g., stacking and faceting). VegaLite Video VegaDatasets - loads example datasets used by Vega Clustering RDatasets - add datasets used in R programming language ----------------------Statistics------------ --------------- Statistics Distributions StatsBase *StatsPlots Combinatorics HypothesisTests Rmath - emulates R's d-p-q-r functions for probability distributions ------------------------Math - General-------------------------------- Random - standard Julia library for random number generation Symbolics - doggo video Calculus ForwardDiff DifferentialEquations - tutorial ~ (also see SciML in Machine Learning) ModelingToolkit - ODE modeling tutorial Unitful NonlinearSolve SpecialFunctions - inc. Bessel, exp, trig., Airy, gamma... Roots - roots of continuous scalar functions of a single real variable Optimization: Optim - documentation JuMP - documentation Ipopt - non-linear solver (ref.: JuMP) FFT Related: FFTW - fast Fourier transform DSP - digital signal processing ------------------------Climate Modeling----------------- ClimateMARGO ----------------------Machine Learning------------ --------------- DifferentialEquations.jl: SciML Scientific Machine Learning Enabled Simulation and Estimation MLBase - machine learning utilities DecisionTree - DecisionTree (CART) and Random Forest algorithms LIBSVM - Support Vector Machine models Flux ------------------------Nonlinear Dynamics----------------- JuliaDynamics Agents.jl - framework for agent-based modeling (ABM) Pluto: Basic Commands in Pluto - github wiki JuliaCon 2020: Pluto Interactive Notebooks - by Pluto author Fons van der Plas JuliaCon2021: Pluto — One Year Later - by Fons van der Plas Pluto at Binder - Pluto in the Cloud PlutoUI at JuliaHub - inc. slider examples, etc. PlutoUI Video by JCharisTech - tutorial for PlutoUI package Julia at MIT: Intro. to Computational Thinking - Spring 2021 (this course doesn't show up in MIT's search box??I started the Fall 2020 course) (this course uses Pluto! Explains the different format. I am going to try switching to this one.) (Grant's video is still in Lesson 1.1, the web cam code works too.) Intro. to Computational Thinking - Fall 2020 MIT-created programming language Julia 1.0 debuts Discord Channel (register for a Discord account, search for MIT course, use the browser based Discord) Julia Videos: "Why Julia?" - A high level description of features/benefits of Julia by Tim Holy Oct 5, 2021 MATH2021 HKUST Linear Algebra Course With Julia: Syllabus Hong Kong University of Science and Technology (HKUST) Assistant Professor Eric Marberg Pluto Notebooks (in Julia): Introduction, linear systems, row operations [Pluto link] Echelon form, row reduction, solving linear systems [Pluto link] Vectors and linear combinations [Pluto link] Preview of matrix multiplication [Pluto link] Linear transformations, onto and one-to-one functions [Pluto link] Matrix multiplication and random walks [Pluto link] Geometry of invertible matrices [Pluto link] Determinants as signed volumes [Pluto link] Signs of determinants [Pluto link] Eigenvectors for the Fourier transform [Pluto link] Computing eigenvalues numerically [Pluto link] Fundamental theorem of algebra [Pluto link] Some spectral graph theory [Pluto link] Random orthogonal matrices [Pluto link] Random symmetric matrices [Pluto link] Polynomial interpolation [Pluto link] Applications of SVDs [Pluto link] Recommended Textbook: "Linear Algebra and its Applications", 5th edition by D. Lay, S. Lay, and J. McDonald - ISBN: 978-0321982384 Linear Algebra - Quantitative Economics with Julia : by Jesse Perla & Thomas J. Sargent & John Stachurski Chapter 15 - Linear Algebra Fundamantala of Numerical Computing: Textbook: "Fundamentals of Numerical Computation" by Tobin A. Driscoll and Richard J. Braun ISBN: 978-1611975079 Chapters 1-6 Converted to Julia Julia Projects and Examples: Analyze Your Health and Fitness Data using Julia Julia Programming Language - From Zero to Expert - Udemy ~ Dr. Nauman Anscombe's Quartet in Julia - by Mr. C. in Pluto from Dr. Nauman's Udemy Course