Mathematical Economics: Prelude to the Neoclassical Model

Description

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. Front Matter ....Pages i-xiii Logic and Proof (Kam Yu)....Pages 1-17 Sets and Relations (Kam Yu)....Pages 19-42 Basic Topology (Kam Yu)....Pages 43-63 Linear Algebra (Kam Yu)....Pages 65-99 Vector Calculus (Kam Yu)....Pages 101-118 Convex Analysis (Kam Yu)....Pages 119-133 Optimization (Kam Yu)....Pages 135-152 Probability (Kam Yu)....Pages 153-176 Dynamic Modelling (Kam Yu)....Pages 177-206 Back Matter ....Pages 207-214