Extrema of Smooth Functions: With Examples from Economic Theory
It is not an exaggeration to state that most problems dealt with in economic theory can be formulated as problems in optimization theory. This holds true for the paradigm of "behavioral" optimization in the pursuit of individual self interests and societally efficient resource allocation,...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1991
|
Ausgabe: | 1st ed. 1991 |
Schlagworte: | |
Online-Zugang: | BTU01 Volltext |
Zusammenfassung: | It is not an exaggeration to state that most problems dealt with in economic theory can be formulated as problems in optimization theory. This holds true for the paradigm of "behavioral" optimization in the pursuit of individual self interests and societally efficient resource allocation, as well as for equilibrium paradigms where existence and stability problems in dynamics can often be stated as "potential" problems in optimization. For this reason, books in mathematical economics and in mathematics for economists devote considerable attention to optimization theory. However, with very few exceptions, the reader who is interested in further study is left with the impression that there is no further place to go to and that what is in these second hand sources is all these is available as far as the subject of optimization theory is concerned. On the other hand the main results from mathematics are often carelessly stated or, more often than not, they do not get to be formally stated at all. Furthermore, it should be well understood that economic theory in general and, mathematical economics in particular, must be classified as special types of applied mathematics or, more precisely, of motivated mathematics since tools of mathematical analysis are used to prove theorems in an economics context in the manner in which probability theory may be classified. Hence, rigor and correct scholarship are of utmost importance and can not be subject to compromise |
Beschreibung: | 1 Online-Ressource (XII, 197 p) |
ISBN: | 9783642767937 |
DOI: | 10.1007/978-3-642-76793-7 |
Internformat
MARC
LEADER | 00000nmm a2200000zc 4500 | ||
---|---|---|---|
001 | BV046872476 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 200828s1991 |||| o||u| ||||||eng d | ||
020 | |a 9783642767937 |9 978-3-642-76793-7 | ||
024 | 7 | |a 10.1007/978-3-642-76793-7 |2 doi | |
035 | |a (ZDB-2-SBE)978-3-642-76793-7 | ||
035 | |a (OCoLC)903191114 | ||
035 | |a (DE-599)BVBBV046872476 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
049 | |a DE-634 | ||
082 | 0 | |a 330.1 |2 23 | |
084 | |a QH 420 |0 (DE-625)141574: |2 rvk | ||
084 | |a QH 421 |0 (DE-625)141575: |2 rvk | ||
100 | 1 | |a El-Hodiri, Mohamed A. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Extrema of Smooth Functions |b With Examples from Economic Theory |c by Mohamed A. El-Hodiri |
250 | |a 1st ed. 1991 | ||
264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 1991 | |
300 | |a 1 Online-Ressource (XII, 197 p) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
520 | |a It is not an exaggeration to state that most problems dealt with in economic theory can be formulated as problems in optimization theory. This holds true for the paradigm of "behavioral" optimization in the pursuit of individual self interests and societally efficient resource allocation, as well as for equilibrium paradigms where existence and stability problems in dynamics can often be stated as "potential" problems in optimization. For this reason, books in mathematical economics and in mathematics for economists devote considerable attention to optimization theory. However, with very few exceptions, the reader who is interested in further study is left with the impression that there is no further place to go to and that what is in these second hand sources is all these is available as far as the subject of optimization theory is concerned. On the other hand the main results from mathematics are often carelessly stated or, more often than not, they do not get to be formally stated at all. Furthermore, it should be well understood that economic theory in general and, mathematical economics in particular, must be classified as special types of applied mathematics or, more precisely, of motivated mathematics since tools of mathematical analysis are used to prove theorems in an economics context in the manner in which probability theory may be classified. Hence, rigor and correct scholarship are of utmost importance and can not be subject to compromise | ||
650 | 4 | |a Economic Theory/Quantitative Economics/Mathematical Methods | |
650 | 4 | |a Operations Research/Decision Theory | |
650 | 4 | |a Systems Theory, Control | |
650 | 4 | |a Calculus of Variations and Optimal Control; Optimization | |
650 | 4 | |a Economic theory | |
650 | 4 | |a Operations research | |
650 | 4 | |a Decision making | |
650 | 4 | |a System theory | |
650 | 4 | |a Calculus of variations | |
650 | 0 | 7 | |a Glatte Funktion |0 (DE-588)4157468-0 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Mathematische Methode |0 (DE-588)4155620-3 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Optimierung |0 (DE-588)4043664-0 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Wirtschaftstheorie |0 (DE-588)4079351-5 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Extremwert |0 (DE-588)4137272-4 |2 gnd |9 rswk-swf |
655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
689 | 0 | 0 | |a Glatte Funktion |0 (DE-588)4157468-0 |D s |
689 | 0 | 1 | |a Extremwert |0 (DE-588)4137272-4 |D s |
689 | 0 | |5 DE-604 | |
689 | 1 | 0 | |a Optimierung |0 (DE-588)4043664-0 |D s |
689 | 1 | |5 DE-604 | |
689 | 2 | 0 | |a Wirtschaftstheorie |0 (DE-588)4079351-5 |D s |
689 | 2 | |5 DE-604 | |
689 | 3 | 0 | |a Mathematische Methode |0 (DE-588)4155620-3 |D s |
689 | 3 | |5 DE-604 | |
776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9783642767951 |
776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9783540543077 |
776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9783642767944 |
856 | 4 | 0 | |u https://doi.org/10.1007/978-3-642-76793-7 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
912 | |a ZDB-2-SBE |a ZDB-2-BAE | ||
940 | 1 | |q ZDB-2-SBE_Archiv | |
999 | |a oai:aleph.bib-bvb.de:BVB01-032282608 | ||
966 | e | |u https://doi.org/10.1007/978-3-642-76793-7 |l BTU01 |p ZDB-2-SBE |q ZDB-2-SBE_Archiv |x Verlag |3 Volltext |
Datensatz im Suchindex
_version_ | 1804181721485148160 |
---|---|
adam_txt | |
any_adam_object | |
any_adam_object_boolean | |
author | El-Hodiri, Mohamed A. |
author_facet | El-Hodiri, Mohamed A. |
author_role | aut |
author_sort | El-Hodiri, Mohamed A. |
author_variant | m a e h mae maeh |
building | Verbundindex |
bvnumber | BV046872476 |
classification_rvk | QH 420 QH 421 |
collection | ZDB-2-SBE ZDB-2-BAE |
ctrlnum | (ZDB-2-SBE)978-3-642-76793-7 (OCoLC)903191114 (DE-599)BVBBV046872476 |
dewey-full | 330.1 |
dewey-hundreds | 300 - Social sciences |
dewey-ones | 330 - Economics |
dewey-raw | 330.1 |
dewey-search | 330.1 |
dewey-sort | 3330.1 |
dewey-tens | 330 - Economics |
discipline | Wirtschaftswissenschaften |
discipline_str_mv | Wirtschaftswissenschaften |
doi_str_mv | 10.1007/978-3-642-76793-7 |
edition | 1st ed. 1991 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04171nmm a2200709zc 4500</leader><controlfield tag="001">BV046872476</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">200828s1991 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642767937</subfield><subfield code="9">978-3-642-76793-7</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-642-76793-7</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-2-SBE)978-3-642-76793-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)903191114</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV046872476</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">330.1</subfield><subfield code="2">23</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">QH 421</subfield><subfield code="0">(DE-625)141575:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">El-Hodiri, Mohamed A.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Extrema of Smooth Functions</subfield><subfield code="b">With Examples from Economic Theory</subfield><subfield code="c">by Mohamed A. El-Hodiri</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1st ed. 1991</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, Heidelberg</subfield><subfield code="b">Springer Berlin Heidelberg</subfield><subfield code="c">1991</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XII, 197 p)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">It is not an exaggeration to state that most problems dealt with in economic theory can be formulated as problems in optimization theory. This holds true for the paradigm of "behavioral" optimization in the pursuit of individual self interests and societally efficient resource allocation, as well as for equilibrium paradigms where existence and stability problems in dynamics can often be stated as "potential" problems in optimization. For this reason, books in mathematical economics and in mathematics for economists devote considerable attention to optimization theory. However, with very few exceptions, the reader who is interested in further study is left with the impression that there is no further place to go to and that what is in these second hand sources is all these is available as far as the subject of optimization theory is concerned. On the other hand the main results from mathematics are often carelessly stated or, more often than not, they do not get to be formally stated at all. Furthermore, it should be well understood that economic theory in general and, mathematical economics in particular, must be classified as special types of applied mathematics or, more precisely, of motivated mathematics since tools of mathematical analysis are used to prove theorems in an economics context in the manner in which probability theory may be classified. Hence, rigor and correct scholarship are of utmost importance and can not be subject to compromise</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Economic Theory/Quantitative Economics/Mathematical Methods</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Operations Research/Decision Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Systems Theory, Control</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Calculus of Variations and Optimal Control; Optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Economic theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Operations research</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Decision making</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">System theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Calculus of variations</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Glatte Funktion</subfield><subfield code="0">(DE-588)4157468-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematische Methode</subfield><subfield code="0">(DE-588)4155620-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Optimierung</subfield><subfield code="0">(DE-588)4043664-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wirtschaftstheorie</subfield><subfield code="0">(DE-588)4079351-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Extremwert</subfield><subfield code="0">(DE-588)4137272-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Glatte Funktion</subfield><subfield code="0">(DE-588)4157468-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Extremwert</subfield><subfield code="0">(DE-588)4137272-4</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">Optimierung</subfield><subfield code="0">(DE-588)4043664-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Wirtschaftstheorie</subfield><subfield code="0">(DE-588)4079351-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Mathematische Methode</subfield><subfield code="0">(DE-588)4155620-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9783642767951</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9783540543077</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9783642767944</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-642-76793-7</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SBE</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SBE_Archiv</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-032282608</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-642-76793-7</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-SBE</subfield><subfield code="q">ZDB-2-SBE_Archiv</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
genre | (DE-588)4151278-9 Einführung gnd-content |
genre_facet | Einführung |
id | DE-604.BV046872476 |
illustrated | Not Illustrated |
index_date | 2024-07-03T15:15:37Z |
indexdate | 2024-07-10T08:56:09Z |
institution | BVB |
isbn | 9783642767937 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032282608 |
oclc_num | 903191114 |
open_access_boolean | |
owner | DE-634 |
owner_facet | DE-634 |
physical | 1 Online-Ressource (XII, 197 p) |
psigel | ZDB-2-SBE ZDB-2-BAE ZDB-2-SBE_Archiv ZDB-2-SBE ZDB-2-SBE_Archiv |
publishDate | 1991 |
publishDateSearch | 1991 |
publishDateSort | 1991 |
publisher | Springer Berlin Heidelberg |
record_format | marc |
spelling | El-Hodiri, Mohamed A. Verfasser aut Extrema of Smooth Functions With Examples from Economic Theory by Mohamed A. El-Hodiri 1st ed. 1991 Berlin, Heidelberg Springer Berlin Heidelberg 1991 1 Online-Ressource (XII, 197 p) txt rdacontent c rdamedia cr rdacarrier It is not an exaggeration to state that most problems dealt with in economic theory can be formulated as problems in optimization theory. This holds true for the paradigm of "behavioral" optimization in the pursuit of individual self interests and societally efficient resource allocation, as well as for equilibrium paradigms where existence and stability problems in dynamics can often be stated as "potential" problems in optimization. For this reason, books in mathematical economics and in mathematics for economists devote considerable attention to optimization theory. However, with very few exceptions, the reader who is interested in further study is left with the impression that there is no further place to go to and that what is in these second hand sources is all these is available as far as the subject of optimization theory is concerned. On the other hand the main results from mathematics are often carelessly stated or, more often than not, they do not get to be formally stated at all. Furthermore, it should be well understood that economic theory in general and, mathematical economics in particular, must be classified as special types of applied mathematics or, more precisely, of motivated mathematics since tools of mathematical analysis are used to prove theorems in an economics context in the manner in which probability theory may be classified. Hence, rigor and correct scholarship are of utmost importance and can not be subject to compromise Economic Theory/Quantitative Economics/Mathematical Methods Operations Research/Decision Theory Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Economic theory Operations research Decision making System theory Calculus of variations Glatte Funktion (DE-588)4157468-0 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Wirtschaftstheorie (DE-588)4079351-5 gnd rswk-swf Extremwert (DE-588)4137272-4 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Glatte Funktion (DE-588)4157468-0 s Extremwert (DE-588)4137272-4 s DE-604 Optimierung (DE-588)4043664-0 s Wirtschaftstheorie (DE-588)4079351-5 s Mathematische Methode (DE-588)4155620-3 s Erscheint auch als Druck-Ausgabe 9783642767951 Erscheint auch als Druck-Ausgabe 9783540543077 Erscheint auch als Druck-Ausgabe 9783642767944 https://doi.org/10.1007/978-3-642-76793-7 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | El-Hodiri, Mohamed A. Extrema of Smooth Functions With Examples from Economic Theory Economic Theory/Quantitative Economics/Mathematical Methods Operations Research/Decision Theory Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Economic theory Operations research Decision making System theory Calculus of variations Glatte Funktion (DE-588)4157468-0 gnd Mathematische Methode (DE-588)4155620-3 gnd Optimierung (DE-588)4043664-0 gnd Wirtschaftstheorie (DE-588)4079351-5 gnd Extremwert (DE-588)4137272-4 gnd |
subject_GND | (DE-588)4157468-0 (DE-588)4155620-3 (DE-588)4043664-0 (DE-588)4079351-5 (DE-588)4137272-4 (DE-588)4151278-9 |
title | Extrema of Smooth Functions With Examples from Economic Theory |
title_auth | Extrema of Smooth Functions With Examples from Economic Theory |
title_exact_search | Extrema of Smooth Functions With Examples from Economic Theory |
title_exact_search_txtP | Extrema of Smooth Functions With Examples from Economic Theory |
title_full | Extrema of Smooth Functions With Examples from Economic Theory by Mohamed A. El-Hodiri |
title_fullStr | Extrema of Smooth Functions With Examples from Economic Theory by Mohamed A. El-Hodiri |
title_full_unstemmed | Extrema of Smooth Functions With Examples from Economic Theory by Mohamed A. El-Hodiri |
title_short | Extrema of Smooth Functions |
title_sort | extrema of smooth functions with examples from economic theory |
title_sub | With Examples from Economic Theory |
topic | Economic Theory/Quantitative Economics/Mathematical Methods Operations Research/Decision Theory Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Economic theory Operations research Decision making System theory Calculus of variations Glatte Funktion (DE-588)4157468-0 gnd Mathematische Methode (DE-588)4155620-3 gnd Optimierung (DE-588)4043664-0 gnd Wirtschaftstheorie (DE-588)4079351-5 gnd Extremwert (DE-588)4137272-4 gnd |
topic_facet | Economic Theory/Quantitative Economics/Mathematical Methods Operations Research/Decision Theory Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Economic theory Operations research Decision making System theory Calculus of variations Glatte Funktion Mathematische Methode Optimierung Wirtschaftstheorie Extremwert Einführung |
url | https://doi.org/10.1007/978-3-642-76793-7 |
work_keys_str_mv | AT elhodirimohameda extremaofsmoothfunctionswithexamplesfromeconomictheory |