1.

Record Nr.

UNINA9910360854403321

Autore

Yu Kam

Titolo

Mathematical Economics : Prelude to the Neoclassical Model / / by Kam Yu

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019

ISBN

3-030-27289-3

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (XIII, 214 p. 26 illus., 18 illus. in color.)

Collana

Springer Texts in Business and Economics, , 2192-4333

Disciplina

330.0151

Soggetti

Game theory

Economic theory

Microeconomics

Macroeconomics

Game Theory, Economics, Social and Behav. Sciences

Economic Theory/Quantitative Economics/Mathematical Methods

Macroeconomics/Monetary Economics//Financial Economics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.