Mathematics for Economics (Hardcover)
暫譯: 經濟學數學 (精裝版)

一部針對經濟學學生的綜合本科數學教材的新版本。

本書全面介紹了解決經濟分析問題所需的數學知識。為了更好地理解數學概念，本書遵循數學發展的邏輯，而非經濟學課程的邏輯。唯一的先修課程是高中代數，但本書涵蓋了本科經濟學所需的所有數學內容。對於研究生來說，本書也是一個有用的參考資料。在回顧集合、數字和函數的基本概念後，本書涵蓋了極限與連續性、一元函數的微積分、線性代數、多變量微積分和動力學。為了培養學生的問題解決能力，本書通過大量的例子和經濟應用進行講解。這個精簡的第三版提供了一系列新的和更新的例子。此外，書中還提供了更長的證明和例子，這些內容可以在本書的網站上找到。書籍和網絡材料在文本中相互參考。學生解答手冊可供使用，教師可以訪問包含解答和PowerPoint幻燈片的在線教學材料。完整詳情請訪問 http://mitpress.mit.edu/math_econ3。

Michael Hoy is a faculty member in the Economics Department at the University of Guelph.

John Livernois is a faculty member in the Economics Department at the University of Guelph, Ontario.

Chris McKenna is a faculty member in the Economics Department at the University of Guelph, Ontario.

Ray Rees is a faculty member at the Ludwig Maximilians University, Munich.

Thanasis Stengos is a faculty member in the Economics Department at the University of Guelph, Ontario.

邁克爾·霍伊（Michael Hoy）是圭爾夫大學（University of Guelph）經濟學系的教職員。

約翰·利維爾諾伊（John Livernois）是圭爾夫大學（University of Guelph）經濟學系的教職員，位於安大略省（Ontario）。

克里斯·麥肯納（Chris McKenna）是圭爾夫大學（University of Guelph）經濟學系的教職員，位於安大略省（Ontario）。

雷·里斯（Ray Rees）是慕尼黑路德維希·馬克西米利安大學（Ludwig Maximilians University, Munich）的教職員。

塔納西斯·斯滕戈斯（Thanasis Stengos）是圭爾夫大學（University of Guelph）經濟學系的教職員，位於安大略省（Ontario）。

Part I Introduction and Fundamentals 
1 Introduction
2 Review of Fundamentals
3 Sequences, Series, and Limits

Part II Univariate Calculus and Optimization
4 Continuity of Functions
5 The Derivative and Differential for Functions of One Variable
6 Optimization of Functions of One Variable

Part III Linear Algebra 
7 Systems of Linear Equations
8 Matrices
9 Determinants and the Inverse Matrix
10 Some Advanced Topics in Linear Algebra

Part IV Multivariate Calculus 
11 Calculus for Functions of n-Variables
12 Optimization of Functions of n-Variables
13 Constrained Optimization
14 Comparative Statics 
15 Concave Programming and the Kuhn-Tucker Conditions

Part V Integration and Dynamic Methods 
16 Integration 
17 An Introduction to Mathematics for Economic Dynamics 
18 Linear, First-Order Difference Equations 
19 Nonlinear, First-Order Difference Equations
20 Linear, Second-Order Difference Equations
21 Linear, First-Order Differential Equations 
22 Nonlinear, First-Order Differential Equations 
23 Linear, Second-Order Differential Equations 
24 Simultaneous Systems of Differential and Difference Equations
25 Optimal Control Theory

Part I Introduction and Fundamentals 

1 Introduction

2 Review of Fundamentals

3 Sequences, Series, and Limits



Part II Univariate Calculus and Optimization

4 Continuity of Functions

5 The Derivative and Differential for Functions of One Variable

6 Optimization of Functions of One Variable



Part III Linear Algebra 

7 Systems of Linear Equations

8 Matrices

9 Determinants and the Inverse Matrix

10 Some Advanced Topics in Linear Algebra



Part IV Multivariate Calculus 

11 Calculus for Functions of n-Variables

12 Optimization of Functions of n-Variables

13 Constrained Optimization

14 Comparative Statics 

15 Concave Programming and the Kuhn-Tucker Conditions



Part V Integration and Dynamic Methods 

16 Integration 

17 An Introduction to Mathematics for Economic Dynamics 

18 Linear, First-Order Difference Equations 

19 Nonlinear, First-Order Difference Equations

20 Linear, Second-Order Difference Equations

21 Linear, First-Order Differential Equations 

22 Nonlinear, First-Order Differential Equations 

23 Linear, Second-Order Differential Equations 

24 Simultaneous Systems of Differential and Difference Equations

25 Optimal Control Theory