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035 _a(OCoLC)144618405
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072 7 _aMAT
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082 0 4 _a512.9/7
_222
084 _aSK 490
_2rvk
049 _aMAIN
100 1 _aSteele, J. Michael,
_eauthor.
_9381237
245 1 4 _aThe Cauchy-Schwarz master class :
_ban introduction to the art of mathematical inequalities /
_cJ. Michael Steele, University of Pennsylvania.
264 1 _aCambridge, UK ;
_aNew York :
_bCambridge University Press,
_c2004.
264 4 _c©2004
300 _a1 online resource (x, 306 pages) :
_billustrations.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _adata file
_2rda
380 _aBibliography
490 1 _aMAA problem books series
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.
504 _aIncludes bibliographical references (pages 292-301) and index.
505 0 _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 -- Chapter notes -- References -- Index.
588 _aDescription based on print version record.
590 _aMaster record variable field(s) change: 082
650 0 _aInequalities (Mathematics)
_93085
650 0 _aProcesses, Infinite.
_927968
650 6 _aInégalités (Mathématiques)
_970837
650 7 _aMATHEMATICS
_xAlgebra
_xElementary.
_2bisacsh
_920025
650 7 _aProcesses, Infinite
_2fast
_0(OCoLC)fst01078055
_927968
650 7 _aInequalities (Mathematics)
_2fast
_0(OCoLC)fst00972020
_93085
650 0 7 _aUngleichung.
_2swd
_970819
655 0 _aElectronic books.
_9396
776 0 8 _iPrint version:
_aSteele, J. Michael.
_tCauchy-Schwarz master class.
_dCambridge ; New York : Cambridge University Press, 2004
_z0521837758
_w(DLC) 2004040402
_w(OCoLC)54079548
830 0 _aMAA problem books series.
_9381238
856 4 0 _3EBSCOhost
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