TY  - BOOK
AU  - Steele, J. Michael
TI  - The Cauchy-Schwarz master class : an introduction to the art of mathematical inequalities
SN  - 9780521546775
AV  - QA295 
PY  - 2004///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Inequalities (Mathematics)
N1  - 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;
11. Hardy's inequality;
12. Symmetric sums;
13. Majorization and Schur convexity;
14. Cancellation and aggregation;
Solutions to the exercises
N2  - Using the Cauchy-Schwarz inequality as the initial guide, this text explains the concepts of mathematical inequalities by presenting a sequence of problems as they might have been discovered, the solutions to which can either be found with one of history's great mathematicians or by the reader themselves
ER  -