Mathematics for economist

Contents: Part I Introduction: One-Variable Calculus: Foundations • One-Variable Calculus: Applications • One-Variable Calculus: Chain Rule • Exponents and Logarithms • Part II Linear Algebra: Introduction to Linear Algebra • Systems of Linear Equations • Matrix Algebra • Determinants: An Overview • Euclidean Spaces • Linear Independence • Part II Calculus of Several Variables: Limits and Open Sets Functions of Several Variables • Calculus of Several Variables • Implicit Functions and their Derivatives • Part IV Optimization: Quadratic forms and Definite Matrices • Unconstrained Optimization • Constrained Optimization I: First Order Conditions • Constrained Optimization II • Homogeneous and Omothetic Functions • Concave and Quasiconcave Functions • Economic Applications • Part V Eigenvalues and Dynamics : Eigenvalues and Eigenvectors • Ordinary Differential Equations: Scalar Equations • Ordinary Differential Equations: Systems of Equations •Part VI Advanced Linear Algebra: Determinants : the Details • Subspaces Attached to a Matrix • Applications of Linear Independence • Part VII: Advanced Analysis: Limits and Compact Sets • Calculus of Several Variables II • Part VIII Appendices: Sets, Numbers, and Proofs • Trigonometric Functions • Complex Numbers • Integral Calculus • Introduction to Probability • Selected Answers • Index

Mathematics for Economists, a new text for advanced undergraduate and beginning graduate students in economics, is a thoroughly modern treatment of the mathematics that underlines economics theory.

An abundance of applications to current economic analysis, illustrative diagrams, thought-provoking exercises, careful proofs, and a flexible organization–these are the advantages that Mathematics for Economists brings to today’s classroom.