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Clear description of how any mathematical concept is constructed starting with an unstructured set
Clarifies the common patterns across mathematical concepts and results
Provides an intuitive explanation of the concepts and results most often used in microeconomics
This book explains the basic structure and patterns across mathematical concepts and results which is required to efficiently read and understand papers in economics that involve mathematics. It also illustrates the usefulness of understanding these patterns with the help of several applications which are detailed in the book. The reader is guided through the language of mathematics, basic mathematical concepts, structure to construction of a theoretical model, until the method to read, understand and analyze any research article. Handy examples from most common economic theories and models, assist the reader to understand the process in a easy-yet-sound manner. The exposition is intuitive allowing the brief to be included on the reading list for any graduate or advanced undergraduate course in economics and related social sciences. This book should also be of interest to any economist or social scientist who does not specialize in mathematical economics.
Content Level »Graduate
Keywords »Linear Structure - Mathematical Economics - Order Structure - Set Theory - Topology
.- Where does it all start?.
.- What are the alphabets of mathematics?.
.- From unstructured sets to structured sets, via structuring tools.
.- What are the main structured sets used in economics?.
.- Order structure.
.- What does it take to define a line?.
.- From a function to a continuous function?.
.- Properties of functions and correspondences.
.- The language of lemmas, propositions, theorems, and corollaries.
.- Reading and questioning a result.
.- The brief, in brief.