000			01315nam a22002057a 4500
003			OSt
005			20220928174409.0
008			220928b |||||||| |||| 00| 0 eng d
020			_a9780521546775
040			_cICTS
050			_aQA295
100			_aSteele, J. Michael
245			_aThe Cauchy-Schwarz master class : an introduction to the art of mathematical inequalities
260			_aCambridge _bCambridge University Press _c2004
300			_ax, 306 pp.
505			_a1. 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
520			_aUsing 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
651			_aInequalities (Mathematics)
942			_2lcc _cBK
999			_c3199 _d3199