Mathematics for economists /

• Main Author: Simon, Carl P.
• Other Authors: Blume, Lawrence E.
• Format: Book
• Published: New York, N.Y. : W. W. Norton, 1994
• Subjects: ECONOMIA MATEMATICA; ESTUDIOS DE CASOS; ALGEBRA LINEAL; ECUACIONES LINEALES; MATRICES; ECUACIONES DIFERENCIALES LINEALES; DETERMINANTES; ESPACIOS VECTORIALES; FUNCIONES TRIGONOMETRICAS; NUMEROS COMPLEJOS; EJERCICIOS DE MATEMATICA; OPTIMIZACION; CASOS PRACTICOS; APLICACIONES; ALGEBRA MATRICIAL; ESPACIOS LINEALES; FUNCIONES CIRCULARES; TRIGONOMETRIA
• Online Access: http://www.repetitfind.ru/Literature/subjects/Blume-Mathematics-for-Economists.pdf

Table of Contents:

• Preface
• 1. Introduction
• 2. One-varable calculus: foundations
• 3. One-variable calculus: applications
• 4. One-variable calculus: chain rule
• 5. Exponents and logarithms
• 6. Introduction to linear algebra
• 7. Systems of linear equations
• 8. Matrix algebra
• 9. Determinants: an overview
• 10. Euclidean spaces
• 11. Linear independence
• 12. Limits and open sets
• 13. Functions of several variables
• 14. Calculus of several variables
• 15. Implicit functions and their derivatives
• 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
• 23. Eigenvalues and eigenvectors
• 24. Ordinary differential equations: scalar equtions
• 25. Ordinary differential equations: systems of equtions
• 26. Determinants: the details
• 27. Subspaces attached to a matrix
• 28. Applications of linear independence
• 29. Limits and compact sets
• 30. Calculus of several variables II
• Appendices: A1: stes, numbers and proofs
• A2: trigonometrics functions
• A3: complex numbers
• A4: integral calculus
• A5: introduction to probability
• A6: selected answers.