03877nam 22006495 450 991036085440332120200701134651.03-030-27289-310.1007/978-3-030-27289-0(CKB)4100000009759104(DE-He213)978-3-030-27289-0(MiAaPQ)EBC5979345(PPN)250812886(EXLCZ)99410000000975910420191101d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierMathematical Economics Prelude to the Neoclassical Model /by Kam Yu1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XIII, 214 p. 26 illus., 18 illus. in color.) Springer Texts in Business and Economics,2192-43333-030-27288-5 Includes bibliographical references and index.Chapter 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.This 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.Springer Texts in Business and Economics,2192-4333Game theoryEconomic theoryMicroeconomicsMacroeconomicsGame Theory, Economics, Social and Behav. Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13011Economic Theory/Quantitative Economics/Mathematical Methodshttps://scigraph.springernature.com/ontologies/product-market-codes/W29000Microeconomicshttps://scigraph.springernature.com/ontologies/product-market-codes/W31000Macroeconomics/Monetary Economics//Financial Economicshttps://scigraph.springernature.com/ontologies/product-market-codes/W32000Game Theory, Economics, Social and Behav. Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13011Game theory.Economic theory.Microeconomics.Macroeconomics.Game Theory, Economics, Social and Behav. Sciences.Economic Theory/Quantitative Economics/Mathematical Methods.Microeconomics.Macroeconomics/Monetary Economics//Financial Economics.Game Theory, Economics, Social and Behav. Sciences.330.0151Yu Kamauthttp://id.loc.gov/vocabulary/relators/aut781368MiAaPQMiAaPQMiAaPQBOOK9910360854403321Mathematical Economics1732557UNINA