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Algebra

Algebra is the mathematics of structure: of operations, of equations, of the symmetries that connect one quantity to another. It begins with the idea that a...

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Algebra is the mathematics of structure: of operations, of equations, of the symmetries that connect one quantity to another. It begins with the idea that a number you don't yet know can still be reasoned about — that x is a respectable noun. Key sections include: Algeb ra.; Opening What algebra is.; Chapter I Before the symbol.; Chapter II The word itself.; Chapter III Cardano, 1545.; Chapter IV Symbolic notation.; Chapter V Algebraic geometry, version one.; Chapter VI Vectors and matrices.; Chapter VII Solving for many unknowns.; Chapter VIII The single number..

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Slide outline
  1. 01Algeb ra.
  2. 02Opening What algebra is.
  3. 03Chapter I Before the symbol.
  4. 04Chapter II The word itself.
  5. 05Chapter III Cardano, 1545.
  6. 06Chapter IV Symbolic notation.
  7. 07Chapter V Algebraic geometry, version one.
  8. 08Chapter VI Vectors and matrices.
  9. 09Chapter VII Solving for many unknowns.
  10. 10Chapter VIII The single number.
  11. 11Chapter IX Vectors that don't turn.
  12. 12Chapter X The abstract framework.
  13. 13Chapter XI The unsolvable quintic.
  14. 14Chapter XII The mathematics of symmetry.
  15. 15Chapter XIII The four laws.
  16. 16Chapter XIV Two essential families.
  17. 17Chapter XV Two operations.
  18. 18Chapter XVI Where division works.
  19. 19Chapter XVII The fundamental theorem.
  20. 20Chapter XVIII Linear algebra everywhere.
  21. 21Chapter XIX The ring R[x].
  22. 22Chapter XX Boolean algebra.
  23. 23Chapter XXI Continuous symmetry.
  24. 24Chapter XXII Category theory.
  25. 25Chapter XXIII Algebra in physics.
  26. 26Chapter XXIV Equations as spaces.
  27. 27Chapter XXV The Langlands program.
  28. 28Chapter XXVI Twenty essentials.
  29. 29Chapter XXVII Watch & read.
  30. 30Chapter XXVIII Where to begin.
  31. 31The end of the deck.
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https://shipslides.com/d/mathematics-algebra
Category
Mathematics
Size
618.0 KB
Updated
2026-05-15
LLM text
https://shipslides.com/d/mathematics-algebra/llms.txt
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