Providing an introduction to mathematical analysis as it applies
to economic theory and econometrics, this book bridges the gap that
has separated the teaching of basic mathematics for economics and
the increasingly advanced mathematics demanded in economics
research today. Dean Corbae, Maxwell B. Stinchcombe, and Juraj
Zeman equip students with the knowledge of real and functional
analysis and measure theory they need to read and do research in
economic and econometric theory.
Unlike other mathematics textbooks for economics, "An
Introduction to Mathematical Analysis for Economic Theory and
Econometrics" takes a unified approach to understanding basic and
advanced spaces through the application of the Metric Completion
Theorem. This is the concept by which, for example, the real
numbers complete the rational numbers and measure spaces complete
fields of measurable sets. Another of the book's unique features is
its concentration on the mathematical foundations of econometrics.
To illustrate difficult concepts, the authors use simple examples
drawn from economic theory and econometrics.
Accessible and rigorous, the book is self-contained, providing
proofs of theorems and assuming only an undergraduate background in
calculus and linear algebra.Begins with mathematical analysis and
economic examples accessible to advanced undergraduates in order to
build intuition for more complex analysis used by graduate students
and researchers Takes a unified approach to understanding basic and
advanced spaces of numbers through application of the Metric
Completion Theorem Focuses on examples from econometrics to explain
topics in measure theory
General
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