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Science

The physical and natural world.

Resources​

Physics

Math

Mixed

  • 3Blue1Brown Lessons
    • 3Blue1Brown lessons by topics (calculus, puzzles, Pi, neural networks, computer science, etc.)
  • Where the wood-wide web narrative went wrong (HN)
    • Wood-wide web: fungi spread out through forest soil, interconnecting tree roots
    • False claims or misinterpretations like the web signal danger, recognize offspring or share nutrients
    • How confirmation bias affects scientists and journalists amplify studies with emotional and seductive stories
  • Matrices and Graphs (HN)
    • Matrices are graphs and graphs are matrices
    • Frobenius normal form: revealing cyclic subspaces and edges between the subspaces
  • We are not empty
    • Atoms are 99% empty is a myth in popular science
    • Based on quantum theory, the nucleus delocalised into "continuous quantum clouds"
    • A long and detailed explanation of the structure of atoms with quantum theory
  • YouTube: How the Most Useless Branch of Math Could Save Your Life | Veritasium
    • The knot theory, the knot equivalence problem and nowadays common knot applications in chemistry and biology
    • Invariants: crossing number, p-colorable, alexander polynomial, jones polynomial, HOMFLY-PT polynomial, etc.
  • Introduction to Modern Statistics
    • An online book about stat, with examples using R
  • The collapse of insects | Reuters Graphics
    • Nice graphic illustrating the global Insect Apocalypse
  • Immersive Math
    • 10 chapters from basic geometry to vectors, to matrix, to eigenvalues and eigenvectors
  • An animated introduction to Fourier series
    • Long form guide from circles, to sinusoids, to epicycles to Fourier series
  • An Intuitive Guide to Maxwell's Equations
    • In depth, long form guide explaining the 4 Maxwell's equations, explaining equations with graphs
  • Calculus with Julia
    • From the basic use of Julia, to limits, derivatives and integrals, ODEs and vector calculus
  • Introduction to Kalman Filter
    • Online book explaining the Kalman Filter
    • Kalman Filter is an estimation algorithm that uses a time series of measurements to provide (1) the estimate and (2) the prediction of the state and (3) the uncertainty of the estimate and prediction

Numbers, riddles, conjectures

Curves