Mathematics for economists / Carl P. Simon and Lawrence Blume.

Preface, xxi -- Part I. Introduction, 3 -- 1. Introduction, 3 -- 2. One- variable calculus: foundations, 10 -- 3. One-variable calculus: applications, 39 -- 4. One-variable calculus: Chain rule, 70 -- 5 Exponents and logarithms, 82 -- Part II. Linear algebra, 107 -- 6. Introduction to linear algebra, 107 -- 7. Systems of linear equations, 122 -- 8. Matrix algebra, 153 -- 9. Determinants: an overview, 188 -- 10. Euclidean spaces, 199 -- 11. Linear independence, 237 -- Part III. Calculus of several variables, 253 -- 12. Limits and open sets, 253 -- 13. Functions of several variables, 273 -- 14. Calculus of several variables, 300 -- 15. Implicit functions and their derivatives, 334 -- Part IV. Optimization, 375 -- 16. Quadratic forms and definite matrices, 375 -- 17. Unconstrained optimization, 396 -- 18. Constrained optimization I: first order conditions, 411 -- 19. Constrained Optimization II, 448 -- 20. Homogeneous and homothetic functions, 483 -- 21. Concave and quasiconcave functions, 505 -- 22. Economic applications, 544 -- 23. Eigenvalues and eigenvectors, 579 -- 24. Ordinary differential equations: scalar equations, 633 -- 25. Ordinary differential equations: systems of equations, 674 -- 26. Determinants: the details, 719 -- 27. Subspaces attached to a matrix, 750 -- 28. Applications of linear independence, 779 -- Part VII. Advanced analysis, 803 -- 29. Limits and compact sets, 803 -- 30. Calculus of several variables II, 822 -- Part VIII. Appendices, 847 -- A1. Sets, Numbers, and proofs, 847 -- A2. Trigonometric functions, 859 -- A3. Complex numbers, 876 -- A4. Integral calculus, 887 -- A5. Introduction to probability, 894 -- A6. Selected answers, 899 -- Index, 921.