LEADER 03332nam 22006855 450 001 9910360854403321 005 20251113210615.0 010 $a9783030272890 010 $a3030272893 024 7 $a10.1007/978-3-030-27289-0 035 $a(CKB)4100000009759104 035 $a(DE-He213)978-3-030-27289-0 035 $a(MiAaPQ)EBC5979345 035 $a(PPN)250812886 035 $a(MiAaPQ)EBC31886974 035 $a(Au-PeEL)EBL31886974 035 $a(OCoLC)1126339813 035 $a(EXLCZ)994100000009759104 100 $a20191101d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Economics $ePrelude to the Neoclassical Model /$fby Kam Yu 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XIII, 214 p. 26 illus., 18 illus. in color.) 225 1 $aSpringer Texts in Business and Economics,$x2192-4341 311 08$a9783030272883 311 08$a3030272885 320 $aIncludes bibliographical references and index. 327 $aChapter 1. Logic and Proof -- Chapter 2. Sets and Relations -- Chapter 3. Basic Topology -- Chapter 4. Linear Algebra -- Chapter 5. Vector Calculus -- Chapter 6. Convex Analysis -- Chapter 7. Optimization -- Chapter 8. Probability -- Chapter 9. Dynamic Modeling. 330 $aThis textbook provides a one-semester introduction to mathematical economics for first year graduate and senior undergraduate students. Intended to fill the gap between typical liberal arts curriculum and the rigorous mathematical modeling of graduate study in economics, this text provides a concise introduction to the mathematics needed for core microeconomics, macroeconomics, and econometrics courses. Chapters 1 through 5 builds students? skills in formal proof, axiomatic treatment of linear algebra, and elementary vector differentiation. Chapters 6 and 7 present the basic tools needed for microeconomic analysis. Chapter 8 provides a quick introduction to (or review of) probability theory. Chapter 9 introduces dynamic modeling, applicable in advanced macroeconomics courses. The materials assume prerequisites in undergraduate calculus and linear algebra. Each chapter includes in-text exercises and a solutions manual, making this text ideal for self-study. 410 0$aSpringer Texts in Business and Economics,$x2192-4341 606 $aGame theory 606 $aEconometrics 606 $aMicroeconomics 606 $aMacroeconomics 606 $aGame Theory 606 $aQuantitative Economics 606 $aMicroeconomics 606 $aMacroeconomics and Monetary Economics 615 0$aGame theory. 615 0$aEconometrics. 615 0$aMicroeconomics. 615 0$aMacroeconomics. 615 14$aGame Theory. 615 24$aQuantitative Economics. 615 24$aMicroeconomics. 615 24$aMacroeconomics and Monetary Economics. 676 $a330.0151 700 $aYu$b Kam$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781368 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910360854403321 996 $aMathematical Economics$91732557 997 $aUNINA