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Mathematics for economists/ Carl P. Simon and Lawrence Blume

By: Simon, Carl PContributor(s): Blume, LawrenceMaterial type: Text

TextPublication details: New Delhi: Viva, 2009Description: xxiv, 930 p. : ill. ; 25 cmISBN: 9780393117523Subject(s): Mathematical Economics | Business mathematics | FinanceDDC classification: 330.0151

Contents:

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.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	330.0151 SIM/M (Browse shelf(Opens below))	Available		P07549

Total holds: 0

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.

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