Geometric Algebra and Calculus

[last updated: 2024-11-17
vector mathematics
vectors: alternative definitions
quaternions
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• Links:
  • Gravity, Gauge Theories and Geometric Algebra - Cornell
    Lasenby, Doran, Gull
    https://arxiv.org/abs/gr-qc/0405033
  • Geometric Algebra as a Unifying Language for Physics and Engineering and Its Use in the Study of Gravity
    Lasenby
    https://inspirehep.net/literature/1516263
  • Electron paths, tunnelling, and diffraction in the spacetime algebra
    Stephen Gull, Anthony Lasenby & Chris Doran
    https://philpapers.org/rec/GULEPT
  • Gauge Theory Gravity with Geometric Calculus
    David Hestenes
    https://philpapers.org/rec/HESGTG
  • States and operators in the spacetime algebra
    Chris Doran, Anthony Lasenby & Stephen Gull
    https://philpapers.org/rec/DORSAO
  • The Fascinating Perspective of Geometric Algebra: https://www.youtube.com/watch?v=m5aKoQ2FTeo
  • Swift Introduction to Space-Time Algebra: https://www.youtube.com/watch?v=e7aIVSVc8cI
  • Swift Introduction to Geometric Algebra: https://www.youtube.com/watch?v=60z_hpEAtD8
  • Clifford Algebras and Time Loops: https://www.youtube.com/watch?v=1PmyjQ7L0l0
  • Spinors for Beginners - Clifford + Grassmann: https://www.youtube.com/watch?v=nktgFWLy32U
  • Geometric Calculus 0 - youtube: https://www.youtube.com/watch?v=-JQxOYL3vhY
  • Geometric Calculus 1 - youtube: https://www.youtube.com/watch?v=jfwdlW7Yr_I
  • Geometric Calculus 2 - youtube: https://www.youtube.com/watch?v=iv5G956UGfs
  • Geometric Algebra in 3D - Fundamentals - youtube: https://www.youtube.com/watch?v=ElLl6gzNbFE
  • Geometric Algebra Applications - Kepler Problem (Part 3) - youtube: https://www.youtube.com/watch?v=LhcKldTK9r4
  • Geometric Algebra in 2D - Linear Algebra and Cramer's Rule - youtube: https://www.youtube.com/watch?v=dnzUgDl43rQ
  • Geometric Algebra in 2D - Fundamentals and Another Look at Complex Numbers: https://www.youtube.com/watch?v=PNlgMPzj-7Q&list=PLpzmRsG7u_gqaTo_vEseQ7...
  • Geometric Algebra in 2D - Some Trigonometry: https://www.youtube.com/watch?v=lkhBcWtFxKU
  • Geometric Algebra - Linear and Spherical Interpolation (LERP, SLERP, NLERP): https://www.youtube.com/watch?v=ibkT5ao8kGY