Mathematics For Economists

0.0

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. About The Author Carl P. Simon is professor of mathematics at the University of Michigan. He received his Ph.D. from Northwestern University and has taught at the university of California, Berkeley, and the University of North Caroline. He is the recipient of many awards for teaching, including the University of Michigan Faculty Recognition Award and the Excellence in Education Award. Lawrence Blume is professor of economics at Cornell University. He received his Ph.D. from the University of California, Berkeley, and has taught at Harvard University’s Kennedy School, the University of Michigan, University of Tel Aviv. Table of Contents 1. Introduction 2. One-Variable Calculus: Foundations 3. One-Variable Calculus: Applications 4. One-Variable Calculus: Chain Rule 5. Exponents and Logarithms Part II Linear Algebra 6. Introduction to Linear Algebra 7. Systems of Linear Equations 8. Matrix Algebra 9. Determinants: An Overview 10. Euclidean Spaces 11. Linear Independence Part III Calculus of Several Variables 12. Limits and Open Sets 13. Functions of Several Variables 14. Calculus of Several Variables 15. Implicit Functions and Their Derivatives Part IV Optimization 16. Quadratic Forms and Definite Matrices 17. Unconstrained Optimization 18. Constrained Optimization I: First Order Conditions 19. Constrained Optimization II 20. Homogeneous and Homothetic Functions 21. Concave and Quasiconcave Functions 22. Economic Applications Part V Eigenvalues and Dynamics 23. Eigenvalues and Eigenvectors 24. Ordinary Differential Equations: Scalar Equations 25. Ordinary Differential Equations: Systems of Equations Part VI Advanced Linear Algebra 26. Determinants: The Details 27. Subspaces Attached to a Matrix 28. Applications of Linear Independence Part VII Advanced Analysis 29. Limits and Compact Sets 30. Calculus of Several Variables II Part VIII Appendices 31. Sets, Numbers, and Proofs 32. Trigonometric Functions 33. Complex Numbers 34. Integral Calculus 35. Introduction to Probability 36. Selected Answers 37. Index