Verfügbarkeit: Convex analysis

Convex analysis:

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Rockafellar, Ralph Tyrrell 1935- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Princeton [u.a.] Princeton University Press 1972
Ausgabe:	Second printing
Schriftenreihe:	Princeton mathematical series 28
Schlagworte:	Mathematical analysis Convex domains Konvexität Konvexe Analysis
Online-Zugang:	Publisher description Inhaltsverzeichnis
Beschreibung:	xviii, 451 Seiten
ISBN:	0691080690

Internformat

MARC


LEADER	00000nam a2200000 cb4500
001	BV002649292
003	DE-604
005	20240912
007	t
008	900529s1972 xxu \|\|\|\| 00\|\|\| engod
020			\|a 0691080690 \|9 0-691-08069-0
035			\|a (OCoLC)256403160
035			\|a (DE-599)BVBBV002649292
040			\|a DE-604 \|b ger \|e rda
041	0		\|a eng
044			\|a xxu \|c XD-US
049			\|a DE-91G \|a DE-384 \|a DE-739 \|a DE-703 \|a DE-824 \|a DE-29T \|a DE-19 \|a DE-521 \|a DE-634 \|a DE-11 \|a DE-188 \|a DE-83
050		0	\|a QA300.R573
082	0		\|a 517/.52
084			\|a QH 150 \|0 (DE-625)141534: \|2 rvk
084			\|a QH 420 \|0 (DE-625)141574: \|2 rvk
084			\|a SK 380 \|0 (DE-625)143235: \|2 rvk
084			\|a SK 600 \|0 (DE-625)143248: \|2 rvk
084			\|a SK 890 \|0 (DE-625)143267: \|2 rvk
084			\|a 26A51 \|2 msc/1970
084			\|a 90C25 \|2 msc/1970
084			\|a MAT 520f \|2 stub
084			\|a 49-02 \|2 msc/1970
084			\|a 52A06 \|2 msc/1970
100	1		\|a Rockafellar, Ralph Tyrrell \|d 1935- \|0 (DE-588)115723498 \|4 aut
245	1	0	\|a Convex analysis \|c R. Tyrrell Rockafellar
250			\|a Second printing
264		1	\|a Princeton [u.a.] \|b Princeton University Press \|c 1972
300			\|a xviii, 451 Seiten
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Princeton mathematical series \|v 28
650		4	\|a Mathematical analysis
650		4	\|a Convex domains
650	0	7	\|a Konvexität \|0 (DE-588)4114284-6 \|2 gnd \|9 rswk-swf
650	0	7	\|a Konvexe Analysis \|0 (DE-588)4138566-4 \|2 gnd \|9 rswk-swf
689	0	0	\|a Konvexität \|0 (DE-588)4114284-6 \|D s
689	0		\|5 DE-604
689	1	0	\|a Konvexe Analysis \|0 (DE-588)4138566-4 \|D s
689	1		\|5 DE-604
830		0	\|a Princeton mathematical series \|v 28 \|w (DE-604)BV000019035 \|9 28
856	4		\|u http://www.loc.gov/catdir/description/prin051/68056318.html \|3 Publisher description
856	4	2	\|m HBZ Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001699685&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-001699685

Datensatz im Suchindex

_version_	1810006622245748736
adam_text	Contents Preface vii Introductory Remarks: a Guide for the Reader xi PART I: BASIC CONCEPTS §1. Affine Sets 3 §2. Convex Sets and Cones 10 §3. The Algebra of Convex Sets 16 §4. Convex Functions 23 §5. Functional Operations 32 PART II: TOPOLOGICAL PROPERTIES §6. Relative Interiors of Convex Sets 43 §7. Closures of Convex Functions 51 §8. Recession Cones and Unboundedness 60 §9. Some Closedness Criteria 72 §10. Continuity of Convex Functions 82 PART III: DUALITY CORRESPONDENCES §11. Separation Theorems 95 §12. Conjugates of Convex Functions 102 §13. Support Functions 112 §14. Polars of Convex Sets 121 §15. Polars of Convex Functions 128 §16. Dual Operations 140 PART IV: REPRESENTATION AND INEQUALITIES §17. Caratheodory"s Theorem 153 §18. Extreme Points and Faces of Convex Sets 162 §19. Polyhedral Convex Sets and Functions 170 §20. Some Applications of Polyhedral Convexity 179 §21. Helly's Theorem and Systems of Inequalities 185 §22. Linear Inequalities 198 ix X CONTENTS PART V: DIFFERENTIAL THEORY §23. Directional Derivatives and Subgradients 213 §24. Differential Continuity and Monotonicity 227 §25. Differentiability of Convex Functions 241 §26. The Legendre Transformation 251 PART VI: CONSTRAINED EXTREMUM PROBLEMS §27. The Minimum of a Convex Function 263 §28. Ordinary Convex Programs and Lagrange Multipliers . . . 273 §29. Bifunctions and Generalized Convex Programs 291 §30. Adjoint Bifunctions and Dual Programs 307 §31. Fenchel's Duality Theorem 327 §32. The Maximum of a Convex Function 342 PART VII: SADDLE FUNCTIONS AND MINIMAX THEORY §33. Saddle Functions 349 §34. Closures and Equivalence Classes 359 §35. Continuity and Differentiability of Saddle functions . 370 §36. Minimax Problems 379 §37. Conjugate Saddle functions and Minimax Theorems . 388 PART VIII: CONVEX ALGEBRA §38. The Algebra of Bifunctions 401 §39. Convex Processes 413 Comments and References 425 Bibliography 433 Index 447
any_adam_object	1
author	Rockafellar, Ralph Tyrrell 1935-
author_GND	(DE-588)115723498
author_facet	Rockafellar, Ralph Tyrrell 1935-
author_role	aut
author_sort	Rockafellar, Ralph Tyrrell 1935-
author_variant	r t r rt rtr
building	Verbundindex
bvnumber	BV002649292
callnumber-first	Q - Science
callnumber-label	QA300
callnumber-raw	QA300.R573
callnumber-search	QA300.R573
callnumber-sort	QA 3300 R573
callnumber-subject	QA - Mathematics
classification_rvk	QH 150 QH 420 SK 380 SK 600 SK 890
classification_tum	MAT 520f
ctrlnum	(OCoLC)256403160 (DE-599)BVBBV002649292
dewey-full	517/.52
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	517 - [Unassigned]
dewey-raw	517/.52
dewey-search	517/.52
dewey-sort	3517 252
dewey-tens	510 - Mathematics
discipline	Mathematik Wirtschaftswissenschaften
edition	Second printing
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV002649292</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240912</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900529s1972 xxu \|\|\|\| 00\|\|\| engod</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0691080690</subfield><subfield code="9">0-691-08069-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)256403160</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002649292</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">XD-US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-521</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA300.R573</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">517/.52</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">QH 150</subfield><subfield code="0">(DE-625)141534:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">QH 420</subfield><subfield code="0">(DE-625)141574:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 380</subfield><subfield code="0">(DE-625)143235:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 890</subfield><subfield code="0">(DE-625)143267:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">26A51</subfield><subfield code="2">msc/1970</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">90C25</subfield><subfield code="2">msc/1970</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 520f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">49-02</subfield><subfield code="2">msc/1970</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">52A06</subfield><subfield code="2">msc/1970</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Rockafellar, Ralph Tyrrell</subfield><subfield code="d">1935-</subfield><subfield code="0">(DE-588)115723498</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Convex analysis</subfield><subfield code="c">R. Tyrrell Rockafellar</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second printing</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton [u.a.]</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">1972</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xviii, 451 Seiten</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Princeton mathematical series</subfield><subfield code="v">28</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Convex domains</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konvexität</subfield><subfield code="0">(DE-588)4114284-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konvexe Analysis</subfield><subfield code="0">(DE-588)4138566-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Konvexität</subfield><subfield code="0">(DE-588)4114284-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Konvexe Analysis</subfield><subfield code="0">(DE-588)4138566-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Princeton mathematical series</subfield><subfield code="v">28</subfield><subfield code="w">(DE-604)BV000019035</subfield><subfield code="9">28</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://www.loc.gov/catdir/description/prin051/68056318.html</subfield><subfield code="3">Publisher description</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001699685&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001699685</subfield></datafield></record></collection>
id	DE-604.BV002649292
illustrated	Not Illustrated
indexdate	2024-09-12T16:00:27Z
institution	BVB
isbn	0691080690
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-001699685
oclc_num	256403160
open_access_boolean
owner	DE-91G DE-BY-TUM DE-384 DE-739 DE-703 DE-824 DE-29T DE-19 DE-BY-UBM DE-521 DE-634 DE-11 DE-188 DE-83
owner_facet	DE-91G DE-BY-TUM DE-384 DE-739 DE-703 DE-824 DE-29T DE-19 DE-BY-UBM DE-521 DE-634 DE-11 DE-188 DE-83
physical	xviii, 451 Seiten
publishDate	1972
publishDateSearch	1972
publishDateSort	1972
publisher	Princeton University Press
record_format	marc
series	Princeton mathematical series
series2	Princeton mathematical series
spelling	Rockafellar, Ralph Tyrrell 1935- (DE-588)115723498 aut Convex analysis R. Tyrrell Rockafellar Second printing Princeton [u.a.] Princeton University Press 1972 xviii, 451 Seiten txt rdacontent n rdamedia nc rdacarrier Princeton mathematical series 28 Mathematical analysis Convex domains Konvexität (DE-588)4114284-6 gnd rswk-swf Konvexe Analysis (DE-588)4138566-4 gnd rswk-swf Konvexität (DE-588)4114284-6 s DE-604 Konvexe Analysis (DE-588)4138566-4 s Princeton mathematical series 28 (DE-604)BV000019035 28 http://www.loc.gov/catdir/description/prin051/68056318.html Publisher description HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001699685&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Rockafellar, Ralph Tyrrell 1935- Convex analysis Princeton mathematical series Mathematical analysis Convex domains Konvexität (DE-588)4114284-6 gnd Konvexe Analysis (DE-588)4138566-4 gnd
subject_GND	(DE-588)4114284-6 (DE-588)4138566-4
title	Convex analysis
title_auth	Convex analysis
title_exact_search	Convex analysis
title_full	Convex analysis R. Tyrrell Rockafellar
title_fullStr	Convex analysis R. Tyrrell Rockafellar
title_full_unstemmed	Convex analysis R. Tyrrell Rockafellar
title_short	Convex analysis
title_sort	convex analysis
topic	Mathematical analysis Convex domains Konvexität (DE-588)4114284-6 gnd Konvexe Analysis (DE-588)4138566-4 gnd
topic_facet	Mathematical analysis Convex domains Konvexität Konvexe Analysis
url	http://www.loc.gov/catdir/description/prin051/68056318.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001699685&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000019035
work_keys_str_mv	AT rockafellarralphtyrrell convexanalysis

Verfügbarkeit

Es ist kein Print-Exemplar vorhanden.

Fernleihe Bestellen Achtung: Nicht im THWS-Bestand! Inhaltsverzeichnis

MARC

Datensatz im Suchindex

Es ist kein Print-Exemplar vorhanden.

Ähnliche Einträge