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.
Formatted Contents Note
Part I. Introduction: 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: 1. Sets, numbers, and proofs 2. Trigonometric functions 3. Complex numbers 4. Integral calculus 5. Introduction to probability 6. Selected answers.