Lecture Notes 1 Microeconomic hypothesis Guoqiang TIAN Department of economic skill Texas A&M University College Station, Texas 77843 (gtian@tamu.edu) August, 2002/Revised: December 2011 1 This sing notes are only for the end of my t all(prenominal)ing and convenience of my students in class, but not for any different purpose. It is greatly acknowledge that some materials are drawn from the references in the end of each charter. Contents 1 Preliminaries on Modern economic science and Mathematics 1.1 Nature of Modern economics . . . . . . . . . . . . . . . . . . . . . . . . . 1.1.1 1.1.2 1.1.3 1.1.4 1.1.5 1.1.6 1.1.7 1.1.8 Modern political economy and Economic surmise . . . . . . . . . . . . . . Key Assumptions and Desired Properties Commonly utilization economics The Basic Analytical Framework of Modern Economics . . . . . . . Methodologies for Studying Modern Economics . . . . . . . . . . . Roles, Generality, and Limitation of Economic Theory . . . . . . . 1 1 1 3 4 6 8 Roles of Mathematics in Modern Economics . . . . . . . . . . . . . 10 diversity amid Economic and Mathematical run-ins . . . . 11 Distinguish surrounded by Necessary and Su?cient Conditions as well Normative and Positive Statements . . . . . . . . . . . . . . . . . . 11 1.2 Language and Methods of Mathematics . . . . . . . . . . . . .
. . . . . . . 12 1.2.1 1.2.2 1.2.3 1.2.4 1.2.5 1.2.6 1.2.7 1.2.8 Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 Separating Hyperplane Theorem . . . . . . . . . . . . . . . . . . . . 14 cotyloidal and bulbous Functions . . . . . . . . . . . . . . . . . . . . 14 Optim! ization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 The Envelope Theorem . . . . . . . . . . . . . . . . . . . . . . . . . 19 manoeuvre-to-Set Mappings . . . . . . . . . . . . . . . . . . . . . . . . . 21 Continuity of a Maximum . . . . . . . . . . . . . . . . . . . . . . . 25 located Point Theorems . . . . . . . . . . . . . . . . . . . . . . . . . 26 I Individual Decision...If you want to reach a full essay, differentiate it on our website: BestEssayCheap.com
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