Infinitesimal Calculus with Finite Fields - Famous Math Problems

Infinitesimal Calculus with Finite Fields - Famous Math Problems

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Polynumbers are elemental "primary", functions are not.

4 of 9

4 of 9

Polynumbers are elemental "primary", functions are not.

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Infinitesimal Calculus with Finite Fields - Famous Math Problems

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  1. 1 Introduction
  2. 2 Retreat from the 'functional' POV.
  3. 3 A symmetrical POV. It makes 'at a glance' sense of the table of powers.
  4. 4 Polynumbers are elemental "primary", functions are not.
  5. 5 Polynumber formalism of Derivatives over [point-to-point] 'secantism'
  6. 6 Switch from 't ' 'variable' parameter to a polynumber 'α' := '| 0 , 1.. ' parameter dependence
  7. 7 Shift from a 'α' := '| 0, 1.. ' to 'α' := '| 1 , 0.. + 'ε' := '| 0 , 0.. bipolynumber parameter
  8. 8 'point' plus 'vector' Derivative description
  9. 9 31:10 see

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