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The Cauchy–Schwarz Master Class

A reading series · J. M. Steele

Learning one inequality so deeply it becomes a method — Steele's master class on Cauchy–Schwarz and the craft of the mathematical inequality. A planned read-and-teach series.

0 of 6 chapters written · a chapter a day.

  1. 1Cauchy–Schwarz, the starting pointthe inner-product inequality, and why everything else descends from itplanned
  2. 2AM–GM and its relativesthe workhorse means and their proofsplanned
  3. 3The power-mean ladderordering the means; Hölder & Minkowskiplanned
  4. 4Convexity & Jensenthe convexity engine under the inequalitiesplanned
  5. 5Symmetry, Schur, and SOSsymmetric tricks and sum-of-squares certificatesplanned
  6. 6Building your own inequalitiesfrom recognizing to inventingplanned