More drawings by Robert Ghrist. Point-set topology, differential topology, geometric topology, symplectic topology, algebraic topology illustrated. From his (free) notes on applied homology.

GLOSSARY

  • Topology = connections between things.
  • Manifolds come in a wide variety of shapes, but they’re all tame.
  • Vector fields = arrows on a manifold.
  • Differential = linear approximation.
  • Symplectic = isotropic + antisymmetric + bilinear. (erm, not as complicated as it sounds)
  • Phase Space means these things can be conceptual rather than literal.







86 notes

  1. estamierdanomeaceptaninguno reblogged this from isomorphismes
  2. clazzjassicalrockhop reblogged this from isomorphismes
  3. anotheropti reblogged this from isomorphismes
  4. pandoricweb reblogged this from isomorphismes
  5. felper reblogged this from themathkid and added:
    Topología en dibujos!
  6. lumpnode reblogged this from isomorphismes
  7. 3uphrasie reblogged this from isomorphismes
  8. kyodo8 reblogged this from faceoftheuniverse and added:
    Knot Theory
  9. lmpressions reblogged this from likeaphysicist and added:
    This actually helps with my dissertation!
  10. logicianmagician reblogged this from faceoftheuniverse
  11. faceoftheuniverse reblogged this from themathkid and added:
    WHAT IS THIS BEAUTY
  12. cunafish reblogged this from wonder-fullmusings
  13. wonder-fullmusings reblogged this from themathkid
  14. interferon-gamma reblogged this from likeaphysicist
  15. cellular-automaton reblogged this from themathkid and added:
    I was reading about knot theory this morning actually, pretty crazy stuff.
  16. likeaphysicist reblogged this from themathkid
  17. themathkid reblogged this from isomorphismes
  18. fleischkuggel reblogged this from isomorphismes
  19. rustedsatellites reblogged this from isomorphismes
  20. mathhombre reblogged this from isomorphismes
  21. isomorphismes posted this