The Cauchy-Schwarz Master Class

@inproceedings{Steele2004TheCM,
  title={The Cauchy-Schwarz Master Class},
  author={J. Steele},
  year={2004}
}
1. Starting with Cauchy 2. The AM-GM inequality 3. Lagrange's identity and Minkowski's conjecture 4. On geometry and sums of squares 5. Consequences of order 6. Convexity - the third pillar 7. Integral intermezzo 8. The ladder of power means 9. Holder's inequality 10. Hilbert's inequality and compensating difficulties 11. Hardy's inequality and the flop 12. Symmetric sums 13. Majorization and Schur convexity 14. Cancellation and aggregation Solutions to the exercises Notes References. 
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