这本数学书对科研方向或者还在学习的都是非常好的参考和学习书目, 这是一本在美国和欧洲基本上书架上都会有的一本经济数学书, 强烈建议大家下载! 这个版本是原版扫描的, 不是网上的手打版本,非常稀少!
习题答案论坛里也有, 大家搜作者名字也能搜到的, 论坛不让我传, 说已经被上传过了.
Table of Content
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 Optimizations II
20. Homogenous 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
A1. Sets, Numbers, and Proofs
A2. Trigonometric Functions
A3. Complex Numbers
A4. Integral Calculus
A5. Introduction to Probability
A6. Selected Answers