Advances In Mathematical Economics Volume 15
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Author | : Shigeo Kusuoka |
Publisher | : Springer Science & Business Media |
Total Pages | : 138 |
Release | : 2011-03-16 |
Genre | : Business & Economics |
ISBN | : 4431539301 |
A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research.
Author | : Rakesh V. Vohra |
Publisher | : Psychology Press |
Total Pages | : 212 |
Release | : 2005 |
Genre | : Business & Economics |
ISBN | : 9780415700085 |
This textbook presents students with all they need for advancing in mathematical economics. Higher level undergraduates as well as postgraduate students in mathematical economics will find this book extremely useful.
Author | : Kenneth J. Arrow |
Publisher | : North Holland |
Total Pages | : 408 |
Release | : 1981 |
Genre | : Business & Economics |
ISBN | : |
V.2: Mathematical approaches to microeconomic theory. Mathematical approaches to competitive equilibrium.
Author | : Michael Carter |
Publisher | : MIT Press |
Total Pages | : 678 |
Release | : 2001-10-26 |
Genre | : Business & Economics |
ISBN | : 9780262531924 |
This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.
Author | : John William Scott Cassels |
Publisher | : Cambridge University Press |
Total Pages | : 161 |
Release | : 1981-12-10 |
Genre | : Business & Economics |
ISBN | : 052128614X |
This is the expanded notes of a course intended to introduce students specializing in mathematics to some of the central ideas of traditional economics. The book should be readily accessible to anyone with some training in university mathematics; more advanced mathematical tools are explained in the appendices. Thus this text could be used for undergraduate mathematics courses or as supplementary reading for students of mathematical economics.
Author | : Dean Corbae |
Publisher | : Princeton University Press |
Total Pages | : 696 |
Release | : 2009-02-17 |
Genre | : Business & Economics |
ISBN | : 1400833086 |
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
Author | : Shigeo Kusuoka |
Publisher | : Springer |
Total Pages | : 141 |
Release | : 2015-04-30 |
Genre | : Mathematics |
ISBN | : 4431554890 |
The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.
Author | : Shigeo Kusuoka |
Publisher | : Springer |
Total Pages | : 192 |
Release | : 2016-06-07 |
Genre | : Mathematics |
ISBN | : 9811004765 |
The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.
Author | : Jacob T. Schwartz |
Publisher | : Courier Dover Publications |
Total Pages | : 305 |
Release | : 2018-11-14 |
Genre | : Mathematics |
ISBN | : 0486828034 |
An early but still useful and frequently cited contribution to the science of mathematical economics, this volume is geared toward graduate students in the field. Prerequisites include familiarity with the basic theory of matrices and linear transformations and with elementary calculus. Author Jacob T. Schwartz begins his treatment with an exploration of the Leontief input-output model, which forms a general framework for subsequent material. An introductory treatment of price theory in the Leontief model is followed by an examination of the business-cycle theory, following ideas pioneered by Lloyd Metzler and John Maynard Keynes. In the final section, Schwartz applies the teachings of previous chapters to a critique of the general equilibrium approach devised by Léon Walras as the theory of supply and demand, and he synthesizes the notions of Walras and Keynes. 1961 edition.
Author | : Shigeo Kusuoka |
Publisher | : Springer Science & Business Media |
Total Pages | : 172 |
Release | : 2013-05-20 |
Genre | : Mathematics |
ISBN | : 4431543244 |
A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research.