ESCP Europe

"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." - description from worldcat.

Preface --- 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 --- Index..