ME.pdf
(1.62 MB)
经济学数学教材,内含线性代数、差分方程等经济学常用内容。
附目录如下:
Table of Contents
Chapter 2 One-Variable Calculus: Foundations 1
Chapter 3 One-Variable Calculus: Applications 5
Chapter 4 One-Variable Calculus: Chain Rule 9
Chapter 5 Exponents and Logarithms 11
Chapter 6 Introduction to Linear Algebra 13
Chapter 7 Systems of Linear Equations 15
Chapter 8 Matrix Algebra 25
Chapter 9 Determinants: An Overview 41
Chapter 10 Euclidean Spaces 45
Chapter 11 Linear Independence 52
Chapter 12 Limits and Open Sets 55
Chapter 13 Functions of Several Variables 60
Chapter 14 Calculus of Several Variables 63
Chapter 15 Implicit Functions and Their Derivatives 68
Chapter 16 Quadratic Forms and Definite Matrices 77
Chapter 17 Unconstrained Optimization 82
Chapter 18 Constrained Optimization I: First Order Conditions 88
Chapter 19 Constrained Optimization II 98
Chapter 20 Homogeneous and Homothetic Functions 106
Chapter 21 Concave and Quasiconcave Functions 110
Chapter 22 Economic Applications 116
Chapter 23 Eigenvalues and Eigenvectors 125
Chapter 24 Ordinary Differential Equations: Scalar Equations 146
Chapter 25 Ordinary Differential Equations: Systems of Equations 156
Chapter 26 Determinants: The Details 166
Chapter 27 Subspaces Attached to a Matrix 174
Chapter 28 Applications of Linear Independence 181
Chapter 29 Limits and Compact Sets 182
Chapter 30 Calculus of Several Variables II 188
Appendix 1 Sets, Numbers, and Proofs 193
Appendix 2 Trigonometric Functions 195
Appendix 3 Complex Numbers 199
Appendix 4 Integral Calculus 202
Appendix 5 Introduction to Probability 203
Figures 205



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