Verfügbarkeit: The Cauchy-Schwarz master class :

The Cauchy-Schwarz master class :: an introduction to the art of mathematical inequalities /

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...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Steele, J. Michael (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge, UK ; New York : Cambridge University Press, 2004.
Schriftenreihe:	MAA problem books series.
Schlagworte:	Inequalities (Mathematics) Processes, Infinite. Inégalités (Mathématiques) Processus infinis. MATHEMATICS > Algebra > Elementary. Processes, Infinite Ungleichung Electronic book. Electronic books.
Online-Zugang:	Volltext
Zusammenfassung:	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.
Beschreibung:	1 online resource (x, 306 pages) : illustrations
Bibliographie:	Includes bibliographical references (pages 292-301) and index.
ISBN:	9780511211348 0511211341 9780511207761 051120776X 9780511213113 0511213115 9780511216718 0511216718 9780511817106 051181710X 1316099326 9781316099322 1107150434 9781107150430 9786613329264 6613329266 1283329263 9781283329262 0511214928 9780511214929 0511567065 9780511567063

Internformat

MARC


LEADER	00000cam a2200000 i 4500
001	ZDB-4-EBA-ocn144618405
003	OCoLC
005	20241004212047.0
006	m o d
007	cr mn\|\|\|\|\|\|\|\|\|
008	040115t20042004enka ob 001 0 eng d
040			\|a COCUF \|b eng \|e rda \|e pn \|c COCUF \|d YDXCP \|d OCLCQ \|d TEFOD \|d EBLCP \|d OCLCQ \|d DKDLA \|d ADU \|d E7B \|d N$T \|d OCLCQ \|d DEBSZ \|d OCLCA \|d OCLCQ \|d OCLCO \|d OCLCQ \|d CAMBR \|d OCL \|d TEFOD \|d OCLCQ \|d OSU \|d AZK \|d CNNLC \|d LOA \|d OCLCO \|d CNNOR \|d BUB \|d CCO \|d MOR \|d PIFBR \|d ZCU \|d MERUC \|d OCLCQ \|d U3W \|d UAB \|d STF \|d BRL \|d WRM \|d OCLCQ \|d NRAMU \|d ICG \|d INT \|d VT2 \|d AU@ \|d OCLCQ \|d OCLCO \|d G3B \|d TKN \|d OCLCQ \|d WYU \|d OCLCF \|d DKC \|d OCLCQ \|d OCLCO \|d UKAHL \|d OCLCQ \|d A6Q \|d OCLCQ \|d AGLDB \|d VLY \|d LUN \|d AJS \|d OCLCQ \|d OCLCO \|d AUW \|d OCLCO \|d OCLCQ \|d OCLCO \|d OCLCL \|d OCLCQ \|d SFB \|d OCLCO
019			\|a 76956661 \|a 123416125 \|a 481855515 \|a 488326131 \|a 614932261 \|a 647519288 \|a 722475712 \|a 772458718 \|a 888528199 \|a 889949910 \|a 891205124 \|a 961642617 \|a 962608379 \|a 1037520522 \|a 1055358371 \|a 1062904411 \|a 1109201925 \|a 1117879269 \|a 1162204865 \|a 1167821893 \|a 1228579000 \|a 1241756604 \|a 1259204562
020			\|a 9780511211348 \|q (electronic bk.)
020			\|a 0511211341 \|q (electronic bk.)
020			\|a 9780511207761 \|q (electronic bk. ; \|q Adobe Reader)
020			\|a 051120776X \|q (electronic bk. ; \|q Adobe Reader)
020			\|a 9780511213113 \|q (electronic bk. ; \|q Adobe Reader)
020			\|a 0511213115 \|q (electronic bk. ; \|q Adobe Reader)
020			\|a 9780511216718 \|q (electronic bk.)
020			\|a 0511216718 \|q (electronic bk.)
020			\|a 9780511817106 \|q (electronic bk.)
020			\|a 051181710X \|q (electronic bk.)
020			\|a 1316099326
020			\|a 9781316099322
020			\|a 1107150434
020			\|a 9781107150430
020			\|a 9786613329264
020			\|a 6613329266
020			\|a 1283329263
020			\|a 9781283329262
020			\|a 0511214928
020			\|a 9780511214929
020			\|a 0511567065
020			\|a 9780511567063
020			\|z 9780521837750 \|q (hardback)
020			\|z 0521837758 \|q (hardback)
020			\|z 9780521546775 \|q (pbk.)
020			\|z 052154677X \|q (pbk.)
035			\|a (OCoLC)144618405 \|z (OCoLC)76956661 \|z (OCoLC)123416125 \|z (OCoLC)481855515 \|z (OCoLC)488326131 \|z (OCoLC)614932261 \|z (OCoLC)647519288 \|z (OCoLC)722475712 \|z (OCoLC)772458718 \|z (OCoLC)888528199 \|z (OCoLC)889949910 \|z (OCoLC)891205124 \|z (OCoLC)961642617 \|z (OCoLC)962608379 \|z (OCoLC)1037520522 \|z (OCoLC)1055358371 \|z (OCoLC)1062904411 \|z (OCoLC)1109201925 \|z (OCoLC)1117879269 \|z (OCoLC)1162204865 \|z (OCoLC)1167821893 \|z (OCoLC)1228579000 \|z (OCoLC)1241756604 \|z (OCoLC)1259204562
037			\|b OverDrive, Inc. \|n http://www.overdrive.com
037			\|a F4F2B00F-E910-4C7D-AB6B-189D62A246C5 \|b OverDrive, Inc. \|n http://www.overdrive.com
050		4	\|a QA295 \|b .S78 2004eb
072		7	\|a MAT \|x 002030 \|2 bisacsh
082	7		\|a 512.9/7 \|2 22
084			\|a SK 490 \|2 rvk
049			\|a MAIN
100	1		\|a Steele, J. Michael, \|e author.
245	1	4	\|a The Cauchy-Schwarz master class : \|b an introduction to the art of mathematical inequalities / \|c J. Michael Steele, University of Pennsylvania.
264		1	\|a Cambridge, UK ; \|a New York : \|b Cambridge University Press, \|c 2004.
264		4	\|c ©2004
300			\|a 1 online resource (x, 306 pages) : \|b illustrations
336			\|a text \|b txt \|2 rdacontent
337			\|a computer \|b c \|2 rdamedia
338			\|a online resource \|b cr \|2 rdacarrier
347			\|a data file
490	1		\|a MAA problem books series
520			\|a 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.
504			\|a Includes bibliographical references (pages 292-301) and index.
505	0		\|a 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 -- Chapter notes -- References -- Index.
588	0		\|a Print version record.
546			\|a English.
650		0	\|a Inequalities (Mathematics) \|0 http://id.loc.gov/authorities/subjects/sh85065985
650		0	\|a Processes, Infinite. \|0 http://id.loc.gov/authorities/subjects/sh85107140
650		6	\|a Inégalités (Mathématiques)
650		6	\|a Processus infinis.
650		7	\|a MATHEMATICS \|x Algebra \|x Elementary. \|2 bisacsh
650		7	\|a Processes, Infinite \|2 fast
650		7	\|a Inequalities (Mathematics) \|2 fast
650		7	\|a Ungleichung \|2 gnd \|0 http://d-nb.info/gnd/4139098-2
655		0	\|a Electronic book.
655		4	\|a Electronic books.
758			\|i has work: \|a The Cauchy-Schwarz master class (Text) \|1 https://id.oclc.org/worldcat/entity/E39PCGk99XYmV3mHqCYr6vP683 \|4 https://id.oclc.org/worldcat/ontology/hasWork
776	0	8	\|i Print version: \|a Steele, J. Michael. \|t Cauchy-Schwarz master class. \|d Cambridge ; New York : Cambridge University Press, 2004 \|z 0521837758 \|w (DLC) 2004040402 \|w (OCoLC)54079548
830		0	\|a MAA problem books series. \|0 http://id.loc.gov/authorities/names/n00006924
856	4	0	\|l FWS01 \|p ZDB-4-EBA \|q FWS_PDA_EBA \|u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=164320 \|3 Volltext
938			\|a Askews and Holts Library Services \|b ASKH \|n AH25227034
938			\|a Askews and Holts Library Services \|b ASKH \|n AH33124311
938			\|a EBL - Ebook Library \|b EBLB \|n EBL266639
938			\|a ebrary \|b EBRY \|n ebr10131594
938			\|a EBSCOhost \|b EBSC \|n 164320
938			\|a YBP Library Services \|b YANK \|n 2619581
938			\|a YBP Library Services \|b YANK \|n 3584295
938			\|a YBP Library Services \|b YANK \|n 7365304
938			\|a YBP Library Services \|b YANK \|n 2592145
994			\|a 92 \|b GEBAY
912			\|a ZDB-4-EBA
049			\|a DE-863

Datensatz im Suchindex

DE-BY-FWS_katkey	ZDB-4-EBA-ocn144618405
_version_	1816881648976789505
adam_text
any_adam_object
author	Steele, J. Michael
author_facet	Steele, J. Michael
author_role	aut
author_sort	Steele, J. Michael
author_variant	j m s jm jms
building	Verbundindex
bvnumber	localFWS
callnumber-first	Q - Science
callnumber-label	QA295
callnumber-raw	QA295 .S78 2004eb
callnumber-search	QA295 .S78 2004eb
callnumber-sort	QA 3295 S78 42004EB
callnumber-subject	QA - Mathematics
classification_rvk	SK 490
collection	ZDB-4-EBA
contents	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 -- Chapter notes -- References -- Index.
ctrlnum	(OCoLC)144618405
dewey-full	512.9/7
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	512 - Algebra
dewey-raw	512.9/7
dewey-search	512.9/7
dewey-sort	3512.9 17
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Electronic eBook
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>05910cam a2200997 i 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn144618405</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr mn\|\|\|\|\|\|\|\|\|</controlfield><controlfield tag="008">040115t20042004enka ob 001 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">COCUF</subfield><subfield code="b">eng</subfield><subfield code="e">rda</subfield><subfield code="e">pn</subfield><subfield code="c">COCUF</subfield><subfield code="d">YDXCP</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">TEFOD</subfield><subfield code="d">EBLCP</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">DKDLA</subfield><subfield code="d">ADU</subfield><subfield code="d">E7B</subfield><subfield code="d">N$T</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">OCLCA</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">CAMBR</subfield><subfield code="d">OCL</subfield><subfield code="d">TEFOD</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OSU</subfield><subfield code="d">AZK</subfield><subfield code="d">CNNLC</subfield><subfield code="d">LOA</subfield><subfield code="d">OCLCO</subfield><subfield code="d">CNNOR</subfield><subfield code="d">BUB</subfield><subfield code="d">CCO</subfield><subfield code="d">MOR</subfield><subfield code="d">PIFBR</subfield><subfield code="d">ZCU</subfield><subfield code="d">MERUC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">U3W</subfield><subfield code="d">UAB</subfield><subfield code="d">STF</subfield><subfield code="d">BRL</subfield><subfield code="d">WRM</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">NRAMU</subfield><subfield code="d">ICG</subfield><subfield code="d">INT</subfield><subfield code="d">VT2</subfield><subfield code="d">AU@</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">G3B</subfield><subfield code="d">TKN</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">WYU</subfield><subfield code="d">OCLCF</subfield><subfield code="d">DKC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">A6Q</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AGLDB</subfield><subfield code="d">VLY</subfield><subfield code="d">LUN</subfield><subfield code="d">AJS</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">AUW</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">SFB</subfield><subfield code="d">OCLCO</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">76956661</subfield><subfield code="a">123416125</subfield><subfield code="a">481855515</subfield><subfield code="a">488326131</subfield><subfield code="a">614932261</subfield><subfield code="a">647519288</subfield><subfield code="a">722475712</subfield><subfield code="a">772458718</subfield><subfield code="a">888528199</subfield><subfield code="a">889949910</subfield><subfield code="a">891205124</subfield><subfield code="a">961642617</subfield><subfield code="a">962608379</subfield><subfield code="a">1037520522</subfield><subfield code="a">1055358371</subfield><subfield code="a">1062904411</subfield><subfield code="a">1109201925</subfield><subfield code="a">1117879269</subfield><subfield code="a">1162204865</subfield><subfield code="a">1167821893</subfield><subfield code="a">1228579000</subfield><subfield code="a">1241756604</subfield><subfield code="a">1259204562</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511211348</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511211341</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511207761</subfield><subfield code="q">(electronic bk. ;</subfield><subfield code="q">Adobe Reader)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">051120776X</subfield><subfield code="q">(electronic bk. ;</subfield><subfield code="q">Adobe Reader)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511213113</subfield><subfield code="q">(electronic bk. ;</subfield><subfield code="q">Adobe Reader)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511213115</subfield><subfield code="q">(electronic bk. ;</subfield><subfield code="q">Adobe Reader)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511216718</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511216718</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511817106</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">051181710X</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1316099326</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781316099322</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1107150434</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107150430</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9786613329264</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">6613329266</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1283329263</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781283329262</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511214928</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511214929</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511567065</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511567063</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780521837750</subfield><subfield code="q">(hardback)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">0521837758</subfield><subfield code="q">(hardback)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780521546775</subfield><subfield code="q">(pbk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">052154677X</subfield><subfield code="q">(pbk.)</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)144618405</subfield><subfield code="z">(OCoLC)76956661</subfield><subfield code="z">(OCoLC)123416125</subfield><subfield code="z">(OCoLC)481855515</subfield><subfield code="z">(OCoLC)488326131</subfield><subfield code="z">(OCoLC)614932261</subfield><subfield code="z">(OCoLC)647519288</subfield><subfield code="z">(OCoLC)722475712</subfield><subfield code="z">(OCoLC)772458718</subfield><subfield code="z">(OCoLC)888528199</subfield><subfield code="z">(OCoLC)889949910</subfield><subfield code="z">(OCoLC)891205124</subfield><subfield code="z">(OCoLC)961642617</subfield><subfield code="z">(OCoLC)962608379</subfield><subfield code="z">(OCoLC)1037520522</subfield><subfield code="z">(OCoLC)1055358371</subfield><subfield code="z">(OCoLC)1062904411</subfield><subfield code="z">(OCoLC)1109201925</subfield><subfield code="z">(OCoLC)1117879269</subfield><subfield code="z">(OCoLC)1162204865</subfield><subfield code="z">(OCoLC)1167821893</subfield><subfield code="z">(OCoLC)1228579000</subfield><subfield code="z">(OCoLC)1241756604</subfield><subfield code="z">(OCoLC)1259204562</subfield></datafield><datafield tag="037" ind1=" " ind2=" "><subfield code="b">OverDrive, Inc.</subfield><subfield code="n">http://www.overdrive.com</subfield></datafield><datafield tag="037" ind1=" " ind2=" "><subfield code="a">F4F2B00F-E910-4C7D-AB6B-189D62A246C5</subfield><subfield code="b">OverDrive, Inc.</subfield><subfield code="n">http://www.overdrive.com</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA295</subfield><subfield code="b">.S78 2004eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">002030</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">512.9/7</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 490</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Steele, J. Michael,</subfield><subfield code="e">author.</subfield></datafield><datafield tag="245" ind1="1" ind2="4"><subfield code="a">The Cauchy-Schwarz master class :</subfield><subfield code="b">an introduction to the art of mathematical inequalities /</subfield><subfield code="c">J. Michael Steele, University of Pennsylvania.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge, UK ;</subfield><subfield code="a">New York :</subfield><subfield code="b">Cambridge University Press,</subfield><subfield code="c">2004.</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2004</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (x, 306 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">data file</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">MAA problem books series</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 292-301) and index.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">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 -- Chapter notes -- References -- Index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">English.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Inequalities (Mathematics)</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85065985</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Processes, Infinite.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85107140</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Inégalités (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Processus infinis.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Algebra</subfield><subfield code="x">Elementary.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Processes, Infinite</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Inequalities (Mathematics)</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Ungleichung</subfield><subfield code="2">gnd</subfield><subfield code="0">http://d-nb.info/gnd/4139098-2</subfield></datafield><datafield tag="655" ind1=" " ind2="0"><subfield code="a">Electronic book.</subfield></datafield><datafield tag="655" ind1=" " ind2="4"><subfield code="a">Electronic books.</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">The Cauchy-Schwarz master class (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCGk99XYmV3mHqCYr6vP683</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Steele, J. Michael.</subfield><subfield code="t">Cauchy-Schwarz master class.</subfield><subfield code="d">Cambridge ; New York : Cambridge University Press, 2004</subfield><subfield code="z">0521837758</subfield><subfield code="w">(DLC) 2004040402</subfield><subfield code="w">(OCoLC)54079548</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">MAA problem books series.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n00006924</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=164320</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH25227034</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH33124311</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBL - Ebook Library</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL266639</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10131594</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">164320</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">2619581</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">3584295</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">7365304</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">2592145</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection>
genre	Electronic book. Electronic books.
genre_facet	Electronic book. Electronic books.
id	ZDB-4-EBA-ocn144618405
illustrated	Illustrated
indexdate	2024-11-27T13:16:04Z
institution	BVB
isbn	9780511211348 0511211341 9780511207761 051120776X 9780511213113 0511213115 9780511216718 0511216718 9780511817106 051181710X 1316099326 9781316099322 1107150434 9781107150430 9786613329264 6613329266 1283329263 9781283329262 0511214928 9780511214929 0511567065 9780511567063
language	English
oclc_num	144618405
open_access_boolean
owner	MAIN DE-863 DE-BY-FWS
owner_facet	MAIN DE-863 DE-BY-FWS
physical	1 online resource (x, 306 pages) : illustrations
psigel	ZDB-4-EBA
publishDate	2004
publishDateSearch	2004
publishDateSort	2004
publisher	Cambridge University Press,
record_format	marc
series	MAA problem books series.
series2	MAA problem books series
spelling	Steele, J. Michael, author. The Cauchy-Schwarz master class : an introduction to the art of mathematical inequalities / J. Michael Steele, University of Pennsylvania. Cambridge, UK ; New York : Cambridge University Press, 2004. ©2004 1 online resource (x, 306 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file MAA problem books series 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. Includes bibliographical references (pages 292-301) and index. 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 -- Chapter notes -- References -- Index. Print version record. English. Inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85065985 Processes, Infinite. http://id.loc.gov/authorities/subjects/sh85107140 Inégalités (Mathématiques) Processus infinis. MATHEMATICS Algebra Elementary. bisacsh Processes, Infinite fast Inequalities (Mathematics) fast Ungleichung gnd http://d-nb.info/gnd/4139098-2 Electronic book. Electronic books. has work: The Cauchy-Schwarz master class (Text) https://id.oclc.org/worldcat/entity/E39PCGk99XYmV3mHqCYr6vP683 https://id.oclc.org/worldcat/ontology/hasWork Print version: Steele, J. Michael. Cauchy-Schwarz master class. Cambridge ; New York : Cambridge University Press, 2004 0521837758 (DLC) 2004040402 (OCoLC)54079548 MAA problem books series. http://id.loc.gov/authorities/names/n00006924 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=164320 Volltext
spellingShingle	Steele, J. Michael The Cauchy-Schwarz master class : an introduction to the art of mathematical inequalities / MAA problem books series. 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 -- Chapter notes -- References -- Index. Inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85065985 Processes, Infinite. http://id.loc.gov/authorities/subjects/sh85107140 Inégalités (Mathématiques) Processus infinis. MATHEMATICS Algebra Elementary. bisacsh Processes, Infinite fast Inequalities (Mathematics) fast Ungleichung gnd http://d-nb.info/gnd/4139098-2
subject_GND	http://id.loc.gov/authorities/subjects/sh85065985 http://id.loc.gov/authorities/subjects/sh85107140 http://d-nb.info/gnd/4139098-2
title	The Cauchy-Schwarz master class : an introduction to the art of mathematical inequalities /
title_auth	The Cauchy-Schwarz master class : an introduction to the art of mathematical inequalities /
title_exact_search	The Cauchy-Schwarz master class : an introduction to the art of mathematical inequalities /
title_full	The Cauchy-Schwarz master class : an introduction to the art of mathematical inequalities / J. Michael Steele, University of Pennsylvania.
title_fullStr	The Cauchy-Schwarz master class : an introduction to the art of mathematical inequalities / J. Michael Steele, University of Pennsylvania.
title_full_unstemmed	The Cauchy-Schwarz master class : an introduction to the art of mathematical inequalities / J. Michael Steele, University of Pennsylvania.
title_short	The Cauchy-Schwarz master class :
title_sort	cauchy schwarz master class an introduction to the art of mathematical inequalities
title_sub	an introduction to the art of mathematical inequalities /
topic	Inequalities (Mathematics) http://id.loc.gov/authorities/subjects/sh85065985 Processes, Infinite. http://id.loc.gov/authorities/subjects/sh85107140 Inégalités (Mathématiques) Processus infinis. MATHEMATICS Algebra Elementary. bisacsh Processes, Infinite fast Inequalities (Mathematics) fast Ungleichung gnd http://d-nb.info/gnd/4139098-2
topic_facet	Inequalities (Mathematics) Processes, Infinite. Inégalités (Mathématiques) Processus infinis. MATHEMATICS Algebra Elementary. Processes, Infinite Ungleichung Electronic book. Electronic books.
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=164320
work_keys_str_mv	AT steelejmichael thecauchyschwarzmasterclassanintroductiontotheartofmathematicalinequalities AT steelejmichael cauchyschwarzmasterclassanintroductiontotheartofmathematicalinequalities

Verfügbarkeit

Es ist kein Print-Exemplar vorhanden.

Volltext öffnen

MARC

Datensatz im Suchindex

Es ist kein Print-Exemplar vorhanden.

Ähnliche Einträge