Mathematical Analysis And Optimization For Economists
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Mathematical Analysis And Optimization For Economists
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Author : Michael J. Panik
language : en
Publisher: CRC Press
Release Date : 2021-09-30
Mathematical Analysis And Optimization For Economists written by Michael J. Panik and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-30 with Mathematics categories.
In Mathematical Analysis and Optimization for Economists, the author aims to introduce students of economics to the power and versatility of traditional as well as contemporary methodologies in mathematics and optimization theory; and, illustrates how these techniques can be applied in solving microeconomic problems. This book combines the areas of intermediate to advanced mathematics, optimization, and microeconomic decision making, and is suitable for advanced undergraduates and first-year graduate students. This text is highly readable, with all concepts fully defined, and contains numerous detailed example problems in both mathematics and microeconomic applications. Each section contains some standard, as well as more thoughtful and challenging, exercises. Solutions can be downloaded from the CRC Press website. All solutions are detailed and complete. Features Contains a whole spectrum of modern applicable mathematical techniques, many of which are not found in other books of this type. Comprehensive and contains numerous and detailed example problems in both mathematics and economic analysis. Suitable for economists and economics students with only a minimal mathematical background. Classroom-tested over the years when the author was actively teaching at the University of Hartford. Serves as a beginner text in optimization for applied mathematics students. Accompanied by several electronic chapters on linear algebra and matrix theory, nonsmooth optimization, economic efficiency, and distance functions available for free on www.routledge.com/9780367759018.
Mathematical Optimization And Economic Analysis
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Author : Mikulás Luptácik
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-03
Mathematical Optimization And Economic Analysis written by Mikulás Luptácik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-03 with Mathematics categories.
"Mathematical Optimization and Economic Analysis" is a self-contained introduction to various optimization techniques used in economic modeling and analysis such as geometric, linear, and convex programming and data envelopment analysis. Through a systematic approach, this book demonstrates the usefulness of these mathematical tools in quantitative and qualitative economic analysis. The book presents specific examples to demonstrate each technique’s advantages and applicability as well as numerous applications of these techniques to industrial economics, regulatory economics, trade policy, economic sustainability, production planning, and environmental policy. Key Features include: - A detailed presentation of both single-objective and multiobjective optimization; - An in-depth exposition of various applied optimization problems; - Implementation of optimization tools to improve the accuracy of various economic models; - Extensive resources suggested for further reading. This book is intended for graduate and postgraduate students studying quantitative economics, as well as economics researchers and applied mathematicians. Requirements include a basic knowledge of calculus and linear algebra, and a familiarity with economic modeling.
Dynamic Optimization And Mathematical Economics
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Author : Pan-Tai Liu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Dynamic Optimization And Mathematical Economics written by Pan-Tai Liu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Social Science categories.
As an outgrowth of the advancement in modern control theory during the past 20 years, dynamic modeling and analysis of economic systems has become an important subject in the study of economic theory. Recent developments in dynamic utility, economic planning, and profit optimiza tion, for example, have been greatly influenced by results in optimal control, stabilization, estimation, optimization under conflicts, multi criteria optimization, control of large-scale systems, etc. The great success that has been achieved so far in utilizing modern control theory in economic systems should be attributed to the effort of control theorists as well as economists. Collaboration between the two groups of researchers has proven to be most successful in many instances; nevertheless, the gap between them has existed for some time. Whereas a control theorist frequently sets up a mathematically feasible model to obtain results that permit economic interpretations, an economist is concerned more with the fidelity of the model in representing a real world problem, and results that are obtained (through possibly less mathematical analysis) are due largely to economic insight. The papers appearing in this volume are divided into three parts. In Part I there are five papers on the application of control theory to economic planning. Part II contains five papers on exploration, exploita tion, and pricing of extractive natural resources. Finally, in Part III, some recent advances in large-scale systems and decentralized control appear.
Mathematical Methods And Models For Economists
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Author : Angel de la Fuente
language : en
Publisher: Cambridge University Press
Release Date : 2000-01-28
Mathematical Methods And Models For Economists written by Angel de la Fuente and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-28 with Business & Economics categories.
A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
An Introduction To Mathematical Analysis For Economic Theory And Econometrics
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Author : Dean Corbae
language : en
Publisher: Princeton University Press
Release Date : 2009-02-17
An Introduction To Mathematical Analysis For Economic Theory And Econometrics written by Dean Corbae and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-17 with Business & Economics categories.
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
Economists Mathematical Manual
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Author : Knut Sydsaeter
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-20
Economists Mathematical Manual written by Knut Sydsaeter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-20 with Business & Economics categories.
This volume presents mathematical formulas and theorems commonly used in economics. It offers the first grouping of this material for a specifically economist audience, and it includes formulas like Roy’s identity and Leibniz's rule.
Mathematics For Economists
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Author : E. Roy Weintraub
language : en
Publisher: Cambridge University Press
Release Date : 1982
Mathematics For Economists written by E. Roy Weintraub and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Business & Economics categories.
Looking at the process through which we arrive at adequate explanations for economic events, the author organizes the topics beginning with real numbers and functions, emphasizes the idea of linearity and encourages the reader to develop geometric intuition for the mathematical results.
Topics In Mathematical Analysis For Economists
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Author : Knut Sydsæter
language : en
Publisher:
Release Date : 1981
Topics In Mathematical Analysis For Economists written by Knut Sydsæter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Business & Economics categories.
Differential equations of first order; Complex numbers. Algebraic equations; Topics in the theory of functions of several variables; Integration; Static optimization theory; Differential equations of higher order; Difference equations.
Fundamental Methods Of Mathematical Economics
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Author : Alpha C. Chiang
language : en
Publisher: Erlangga
Release Date : 2005-02-02
Fundamental Methods Of Mathematical Economics written by Alpha C. Chiang and has been published by Erlangga this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-02 with Business & Economics categories.
For this fourth edition of a text for students of economics, Chiang (University of Connecticut) and Wainwright (British Columbia Institute of Technology) add new chapters on the envelope theorem, advanced topics in optimization, and optimal control theory, and delete a chapter on mathematical programming. The book can serve as a text for a course o
Economists Mathematical Manual
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Author : Peter Berck
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Economists Mathematical Manual written by Peter Berck and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Business & Economics categories.
The practice of economics requires a wide-ranging knowledge of formulas from math ematics and mathematical economics. The selection of results from mathematics included in handbooks for chemistry and physics ill suits economists. There is no concise reporting of results in economics. With this volume, we hope to present a formulary, targeted to the needs of students as well as the working economist. It grew out of a collection of mathematical formulas for economists originally made by Professor B. Thalberg and used for many years by Scandinavian students and economists. The formulary has 32 chapters, covering calculus and other often used mathemat ics; programming and optimization theory; economic theory of the consumer and the firm; risk, finance, and growth theory; non-cooperative game theory; and elementary statistical theory. The book contains just the formulas and the minimum commentary needed to re-learn the mathematics involved. We have endeavored to state theorems at the level of generality economists might find useful. By and large, we state results for n-dimensional Euclidean space, even when the results are more generally true. In contrast to the economic maxim, "everything is twice more continuously differentiable than it needs to be", we have listed the regularity conditions for theorems to be true. We hope that we have achieved a level of explication that is accurate and useful without being pedantic.