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[美] 鸥克(Efe A.Ok) 著
出版社: 世界图书出版公司 ISBN:9787510050640 版次:1 商品编码:11142974 包装:平装 外文名称:Real Analysis with Economic Applications 开本:24开 出版时间:2013-01-01 用纸:胶版纸 页数:802 正文语种:英文
Prerequisites
Basic Conventions
PART Ⅰ SET THEORY
CHAPTER A Preliminaries of Real Analysis
A.1 Elements ofSet Theory
A.1.1 Sets
A.1.2 Relations
A.1.3 Equivalence Relations
A.1.4 O0rder Relations
A.1.5 Functions
A.1.6 Sequences, Vectors, and Matrices
A.1.7 A Glimpse ofAdvanced Set Theory: The Axiom of Choice
A.2 Real Numbers
A.2.1 Ordered Fields
A.2.2 Natural Numbers, Integers, and Rationals
A.2.3 Real Numbers
A.2.4 Intervals and R
A.3 Real Sequences
A.3.1 Convergent Sequences
A.3.2 Monotonic Sequences
A.3.3 Subsequential Limits
A.3.4 Infinite Series
A.3.5 Rear.rangement oflnfinite Series
A.3.6 Infinite Products
A.4 Real Functions
A.4.1 Basic Definitions
A.4.2 Limits, ContinLuty, and Differentiation
A.4.3 Riemann Integration
A.4.4 Exponential, Logarithmic, and Trigonometric Functions
A.4.5 Concave and Convex Functions
A.4.6 Quasiconcave and Quasiconvex Functions
CHAPTER B Countability
B.1 Countable and Uncountable Sets
B.2 Losets and Q
B.3 Some More Advanced Set Theory
B.3.1 The Cardinality Ordering
B.3.2 The Well-Ordering Principle
B.4 Application: Ordinal utility Theor)r
B.4.1 Preference Relations
B.4.2 Utilitv ReDresentation of Complete Preference Relations
B.4.3 Utility Representation oflncomplete Preference Relations
PART Ⅱ ANALYSIS ON METRIC SPACES
CHAPTER C Metric Spaces
C.1 Basic Notions
C.1.1 Metric Spaces: Definition and Examples
C.1.2 0pen and Closed Sets
C.1.3 Convergent Sequences
……
PART Ⅲ ANALYSIS ON LINEAR SPACES
PART Ⅳ ANALYSIS ON METRIC/NORMED LINEAR SPACES
Hints for Selected Exercises
References
Clossary of Selected Symbols
Index
实分析及其在经济学中的应用 [Real Analysis with Economic Applications] 电子书 下载 mobi epub pdf txt
实分析及其在经济学中的应用 [Real Analysis with Economic Applications]-so88
实分析及其在经济学中的应用 [Real Analysis with Economic Applications] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[美] 鸥克(Efe A.Ok) 著
出版社: 世界图书出版公司 ISBN:9787510050640 版次:1 商品编码:11142974 包装:平装 外文名称:Real Analysis with Economic Applications 开本:24开 出版时间:2013-01-01 用纸:胶版纸 页数:802 正文语种:英文
内容简介
This is primarily a textbook on mathematical analysis for graduate students in economics. While there are a large number of excellent textbooks on this broad topic in the mathematics literature, most ofthese texts are overly advanced relative to the needs of the vast majority of economics students and concentrate on various topics that are not readily helpful for studying economic theory. Moreover, it seems that most economics students lack the time or courage to enroll in a math course at the graduate level. Sometimes this is not even for bad reasons, for only few math departments offer classes that are designed for the parhcular needs of economists. Unfortunately,more often than not, the consequent lack ofmathematical background cre-ates problems for the students at a later stage of their education, since an exceedingly large fraction ofeconomic theory is impenetrable without some rigorous background in real analysis. The present text aims at providing a remedy for this inconvenient situation.内页插图
目录
PrefacePrerequisites
Basic Conventions
PART Ⅰ SET THEORY
CHAPTER A Preliminaries of Real Analysis
A.1 Elements ofSet Theory
A.1.1 Sets
A.1.2 Relations
A.1.3 Equivalence Relations
A.1.4 O0rder Relations
A.1.5 Functions
A.1.6 Sequences, Vectors, and Matrices
A.1.7 A Glimpse ofAdvanced Set Theory: The Axiom of Choice
A.2 Real Numbers
A.2.1 Ordered Fields
A.2.2 Natural Numbers, Integers, and Rationals
A.2.3 Real Numbers
A.2.4 Intervals and R
A.3 Real Sequences
A.3.1 Convergent Sequences
A.3.2 Monotonic Sequences
A.3.3 Subsequential Limits
A.3.4 Infinite Series
A.3.5 Rear.rangement oflnfinite Series
A.3.6 Infinite Products
A.4 Real Functions
A.4.1 Basic Definitions
A.4.2 Limits, ContinLuty, and Differentiation
A.4.3 Riemann Integration
A.4.4 Exponential, Logarithmic, and Trigonometric Functions
A.4.5 Concave and Convex Functions
A.4.6 Quasiconcave and Quasiconvex Functions
CHAPTER B Countability
B.1 Countable and Uncountable Sets
B.2 Losets and Q
B.3 Some More Advanced Set Theory
B.3.1 The Cardinality Ordering
B.3.2 The Well-Ordering Principle
B.4 Application: Ordinal utility Theor)r
B.4.1 Preference Relations
B.4.2 Utilitv ReDresentation of Complete Preference Relations
B.4.3 Utility Representation oflncomplete Preference Relations
PART Ⅱ ANALYSIS ON METRIC SPACES
CHAPTER C Metric Spaces
C.1 Basic Notions
C.1.1 Metric Spaces: Definition and Examples
C.1.2 0pen and Closed Sets
C.1.3 Convergent Sequences
……
PART Ⅲ ANALYSIS ON LINEAR SPACES
PART Ⅳ ANALYSIS ON METRIC/NORMED LINEAR SPACES
Hints for Selected Exercises
References
Clossary of Selected Symbols
Index
前言/序言
实分析及其在经济学中的应用 [Real Analysis with Economic Applications] 电子书 下载 mobi epub pdf txt
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