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Mathematics for economists / Carl P. Simon and Lawrence Blume.
1994
B 8 SIM.M
Available at WIPO Library
Items
Details
Title
Mathematics for economists / Carl P. Simon and Lawrence Blume.
Description
xxiv, 930 pages : illustrations ; 25 cm
ISBN
0393957330
9780393957334
9780393117523
0393117529
0393960838
9780393960839
0003930957330
9780393957334
9780393117523
0393117529
0393960838
9780393960839
0003930957330
Alternate Call Number
B 8 SIM.M
Summary
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.
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.
Series
Published
New York : Norton, c1994.
Language
English
Record Appears in
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