Alexandria Library

A curated collection of awesome articles

Here are some ressources related to Differential equations, Wolfram, Integral calculus. Hoping you will find learning material, alternative tools or just some interesting stuff.

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Articles

Interactive live solutions of PDE systems

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The symmetry that makes solving math equations easy

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Problem solving with dimensional analysis

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On the Algebraic Properties of Flame Graphs

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Chaos Hypertextbook

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Lessons I wish I had learned before I started teaching differential equations [pdf] (1997)

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A lazy way to solve differential equations

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You need to know what right-half-plane zeros are

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Automatic Differentiation: Forward and Reverse

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What Is a Nomogram?

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A cheat-sheet for mathematical notation in code form

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A Bestiary of Functions for Systems Designers

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A Closer Look at Fractals

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Computer Calculus Reading Group

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The Black-Scholes formula, explained (2019)

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Printing Algebraic Numbers

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Differentiation Under Integral Sign (2015) [pdf]

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Automatic differentiation does incur truncation errors (kinda)

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Dave’s Short Course on Complex Numbers (2013)

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Emacs Symbolic Integration

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Convolution Is Fancy Multiplication

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Paul's Online Math Notes

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Euler's Formula: A Complete Guide

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Euclid – Scientific calculator for iOS/macOS

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What are Differential Equations and how do they work?

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How to Read a Log Scale

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Math-as-Code (2015)

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Differential Forms and Integration (2008) [pdf]

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Math Keeps Changing

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Polymath: A Markup Language for Everything

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Wolfram Alpha: {y = Re(sqrt(abs(x)(1-abs(x)))), y = Re(-sqrt(1-sqrt(abs(x))))}

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Dimensional Analysis in Programming Languages (2018)

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MathSharp, a vector and matrix library written in C# using hardware intrinsics

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Curve fitting A: Linear Least Squares

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Graphical Introduction to Dynamic Programming

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Mathematica Version 12 Released

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Learn Computer Graphics from Scratch

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Gauss's Principle of Least Constraint (2017)

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Computing Higher Order Derivatives of Matrix and Tensor Expressions [pdf]

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Leonardo da Vinci's tree rule may be explained by wind

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Introduction to Differential Equations (2008)

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D3 Graph Theory – Learn About Graph Theory Interactively

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Programmer's guide to polynomials and splines

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What are the complex numbers, really?

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Self-Replicating Functions

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Lessons I Wish I Had Learned Before Teaching Differential Equations (1997) [pdf]

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Graph Data Structure Interview Questions

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The Fundamental Theorem of Algebra: A Visual Approach (2015) [pdf]

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The Fundamental Theorem of Algebra: A Visual Approach [pdf]

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3-D Fractals Offer Clues to Complex Systems

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How to Learn Advanced Mathematics Without Heading to University – Part 3

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The emotional arcs of stories are dominated by six basic shapes

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Scratchapixel: Computer Graphics Programming from Scratch

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Paul's Online Math Notes

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Symbolic expressions can be automatically differentiated too

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MIT Mathlets: Interactive mathematics visualizations

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Math for Machine Learning (2009) [pdf]

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Is there such a thing as half a derivative?

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Structure and Interpretation of Classical Mechanics

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Hilbert: A Latex-like math-oriented programming language

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Learning to Love Complex Numbers

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A game based on the Havel-Hakimi algorithm

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Exact numeric nth derivatives

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Math notes to take you from one year of college calculus to grad student level

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If the IRS had discovered the quadratic formula...

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Planes overhead

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Accounting for Computer Scientists

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Formula for love: X^2+(y-sqrt(x^2))^2=1

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Lessons I wish I had learned before teaching differential equations [pdf] (1997)

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Higher Order Derivatives of Transforms

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Fractal Scaling and the Aesthetics of Trees

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Where is Noether's principle in machine learning?

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Learning Theory from First Principles [pdf]

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Legendre transform, better explained (2017)

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Integral Calculator

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Logarithmic Scales

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Fractal Geometry

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Street-Fighting Mathematics (2008)

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Crafting formulas: Lambdas all the way down

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