“Math!” Image Resources

(Please note: all video sources will be italicized, and in green font)

INTRO PAGE:

  • Image of Einstein’s hand-written notes: http://mathoverflow.net/questions/201922/the-open-problem-in-general-relativity
  • Image of 3D Euclidean plane: http://math.tutorvista.com/algebra/Euclidean-space.html
  • Image of curved space-time picture: http://www.quantum-field-theory.net/space-time-curvature-relativity/

SOME BACKGROUND:

Vectors

  • Vector “tail-to-head” image: precal101.weebly.com
  • Vector addition picture: https://commons.wikimedia.org/wiki/Category:Vector_addition#/media/File:Vector_Addition.svg
  • Right triangle vector addition: http://www.physicsclassroom.com/class/vectors/Lesson-1/Vector-Addition
  • Direction of resultant vector: http://www.physicsclassroom.com/class/vectors/Lesson-1/Vector-Addition
  • Adding non-right angle vectors video: https://www.youtube.com/watch?v=Fn2GQqKJF4U

Matrices

  • Matrix: http://www.mathwarehouse.com/algebra/matrix/
  • Matrix Addition: http://www.mathsisfun.com/algebra/matrix-introduction.html
  • Matrix Multiplication: https://www.mathsisfun.com/algebra/matrix-multiplying.html
  • Matrix addition and subtraction: https://www.youtube.com/watch?v=-KU_FriVVQs
  • Matrix Multiplication: https://www.youtube.com/watch?v=kuixY2bCc_0

…MORE ON VECTORS…

  • Four vectors: https://en.wikibooks.org/wiki/Special_Relativity/Mathematical_approach2

TENSORS:

  • Visual tensor representation: https://en.wikipedia.org/wiki/Tensor
  • Einstein equation: http://scienceblogs.com/principles/2011/12/23/the-advent-calendar-of-physics-22/
  • Metric Tensor in Euclidean coordinates: http://hepweb.ucsd.edu/ph110b/110b_notes/node74.html
  • Metric Tensor in Spherical coordinates: http://hepweb.ucsd.edu/ph110b/110b_notes/node74.html
  • “What’s a Tensor” Video: https://www.youtube.com/watch?v=f5liqUk0ZTw