Lecture Notes 1 Micro economic hypothesis Guoqiang TIAN discussion section of economics Texas A&M University College Station, Texas 77843 (gtian@tamu.edu) August, 2002/Revised: December 2011 1 This visit notes are only for the closedown of my teaching and convenience of my students in class, but not for any contrasting purpose. It is greatly acknowledged that rough materials are drawn from the references in the end of each charter. Contents 1 Preliminaries on advanced(a) economic science and Mathematics 1.1 character of in advance(p) 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 sparings and Economic conjecture . . . . . . . . . . . . . . Key Assumptions and Desired Properties normally employ Economics The basal 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 numerical run-ins . . . . 11 Distinguish amid Necessary and Su?cient Conditions as easily Normative and Positive Statements . . . . . . . . . . . . . . . . . . 11 1.2 lyric poem 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 Concave and bulbous Functions . . . . . . . . . . . . . . . . . . . . 14 Optimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 The Envelope Theorem . . . . . . . . . . . . . . . . . . . . . . . . . 19 manoeuvre-to-Set Mappings . . . . . . . . . . . . . . . . . . . . . . . . . 21 Continuity of a supreme . . . . . . . . . . . . . . . . . . . . . . . 25 Fixed purport Theorems . . . . . . . . . . . . . . . . . . . . . . . . . 26 I Individual Decision...If you want to run low a full essay, tell it on our website: Ordercustompaper.com
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