經濟數學分析概論(英文版)(pdf 306頁)

An Introduction to Mathematical Analysis目錄：
in Economics1
1 Introduction 13
1.1 Rules of logic . . . . . . . . . . . . 13
1.2 Taxonomy of Proofs . . . . . . . . 17
1.3bibliography for Chapter 1 . . . . . 19
2 SetTheory 21
2.1 Set Operations . . . . . . . . . . . 23
2.1.1 Algebraic propertIEs of set operations . . .24
2.2 Cartesian Products . . . . . . . . . 24
2.3 Relations 25
2.3.1EQuivalence relations . . . . 25
2.3.2 Order relations . . . . . . . 27
2.4 Correspondences and Functions . . 30
2.4.1 Restrictions and extensions 32
2.4.2 ComposITion of functions . . 32
2.4.3 Injections and inverses . . . 33
2.4.4 Surjections andbijections . 33
2.5 Finite and In?nITe Sets . . . . . . . 34
2.6 Algebras of Sets . . . . . . . . . . . 38
2.7bibliography for Chapter 2 . . . . . 43
2.8 End of Chapter Problems. . . . . . 44
3 The Space of Real Numbers 45
3.1 The FIEld Axioms . . . . . . . . . 46
3.2 The Order Axioms . . . . . . . . . 48
3.3 The Completeness Axiom . . . . . 50
3.4 Open and Closed Sets . . . . . . . 53
3.5 Borel Sets . . . . . . . . . . . . . . 60

An Introduction to Mathematical Analysis內容簡介：
The objective of this book is to provide a simple introduction to mathemat-
ical analysis wITh applications in economics. There is increasing use of real
and functional analysis in economics, but few books cover that material at
an elementary level.

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