LEADER 03758nam 22006135 450 001 9910254864203321 005 20200701175322.0 010 $a3-319-23353-X 024 7 $a10.1007/978-3-319-23353-6 035 $a(CKB)4340000000001631 035 $a(DE-He213)978-3-319-23353-6 035 $a(MiAaPQ)EBC6314237 035 $a(MiAaPQ)EBC5578611 035 $a(Au-PeEL)EBL5578611 035 $a(OCoLC)944307947 035 $a(PPN)224344153 035 $a(EXLCZ)994340000000001631 100 $a20160211d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematics and Methodology for Economics $eApplications, Problems and Solutions /$fby Wolfgang Eichhorn, Winfried Gleißner 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XIX, 630 p. 143 illus. in color.) 225 1 $aSpringer Texts in Business and Economics,$x2192-4333 311 $a3-319-23352-1 327 $aSets, Numbers and Vectors -- Production Systems -- Mappings, Functions -- Affine and Linear Functions -- Linear Optimisation, Duality. Zero-Sum Games -- Functions, Their Limits, and Their Derivatives -- Nonlinear Functions -- Nonlinear Optimisation -- Set Valued Functions. Equilibria. Games -- Integrals -- Differential Equations -- Difference Equations -- Models and Theories in Economics. 330 $aThis book about mathematics and methodology for economics is the result of the lifelong experience of the authors. It is written for university students as well as for students of applied sciences. This self-contained book does not assume any previous knowledge of high school mathematics and helps understanding the basics of economic theory-building. Starting from set theory it thoroughly discusses linear and non-linear functions, differential equations, difference equations, and all necessary theoretical constructs for building sound economic models. The authors also present a solid introduction to linear optimisation and game theory using production systems. A detailed discussion on market equilibrium, in particular on Nash Equilibrium, and on non-linear optimisation is also provided. Throughout the book the student is well supplied with numerous examples, some 2000 problems and their solutions to apply the knowledge to economic theories and models. 410 0$aSpringer Texts in Business and Economics,$x2192-4333 606 $aEconomic theory 606 $aEconomic history 606 $aGame theory 606 $aEconomic Theory/Quantitative Economics/Mathematical Methods$3https://scigraph.springernature.com/ontologies/product-market-codes/W29000 606 $aHistory of Economic Thought/Methodology$3https://scigraph.springernature.com/ontologies/product-market-codes/W28000 606 $aGame Theory, Economics, Social and Behav. Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13011 615 0$aEconomic theory. 615 0$aEconomic history. 615 0$aGame theory. 615 14$aEconomic Theory/Quantitative Economics/Mathematical Methods. 615 24$aHistory of Economic Thought/Methodology. 615 24$aGame Theory, Economics, Social and Behav. Sciences. 676 $a519.3 700 $aEichhorn$b Wolfgang$4aut$4http://id.loc.gov/vocabulary/relators/aut$057341 702 $aGleißner$b Winfried$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254864203321 996 $aMathematics and Methodology for Economics$92200145 997 $aUNINA