Foundations Of Mathematical Economics

Author : Michael Carter
Publisher : MIT Press
Page : 678 pages
File Size : 44,8 Mb
Release : 2001-10-26
Category : Business & Economics
ISBN : 0262531925

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Foundations of Mathematical Economics by Michael Carter Pdf

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 : Kamran Dadkhah
Publisher : Springer Science & Business Media
Page : 547 pages
File Size : 55,8 Mb
Release : 2011-01-11
Category : Business & Economics
ISBN : 9783642137488

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Foundations of Mathematical and Computational Economics by Kamran Dadkhah Pdf

This is a book on the basics of mathematics and computation and their uses in economics for modern day students and practitioners. The reader is introduced to the basics of numerical analysis as well as the use of computer programs such as Matlab and Excel in carrying out involved computations. Sections are devoted to the use of Maple in mathematical analysis. Examples drawn from recent contributions to economic theory and econometrics as well as a variety of end of chapter exercises help to illustrate and apply the presented concepts.

Author : Dean Corbae,Maxwell Stinchcombe,Juraj Zeman
Publisher : Princeton University Press
Page : 696 pages
File Size : 43,5 Mb
Release : 2009-02-17
Category : Business & Economics
ISBN : 9781400833085

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An Introduction to Mathematical Analysis for Economic Theory and Econometrics by Dean Corbae,Maxwell Stinchcombe,Juraj Zeman Pdf

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 : Kelvin Lancaster
Publisher : Courier Corporation
Page : 450 pages
File Size : 45,8 Mb
Release : 2012-10-10
Category : Mathematics
ISBN : 9780486145044

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Mathematical Economics by Kelvin Lancaster Pdf

Graduate-level text provides complete and rigorous expositions of economic models analyzed primarily from the point of view of their mathematical properties, followed by relevant mathematical reviews. Part I covers optimizing theory; Parts II and III survey static and dynamic economic models; and Part IV contains the mathematical reviews, which range fromn linear algebra to point-to-set mappings.

Author : Herman J. Bierens
Publisher : Cambridge University Press
Page : 356 pages
File Size : 42,7 Mb
Release : 2004-12-20
Category : Business & Economics
ISBN : 0521542243

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Introduction to the Mathematical and Statistical Foundations of Econometrics by Herman J. Bierens Pdf

This book is intended for use in a rigorous introductory PhD level course in econometrics.

Author : Thomas A. Boylan,Paschal F. O'Gorman
Publisher : Routledge
Page : 334 pages
File Size : 41,6 Mb
Release : 2018-04-09
Category : Business & Economics
ISBN : 9781351124546

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Philosophy of Mathematics and Economics by Thomas A. Boylan,Paschal F. O'Gorman Pdf

With the failure of economics to predict the recent economic crisis, the image of economics as a rigorous mathematical science has been subjected to increasing interrogation. One explanation for this failure is that the subject took a wrong turn in its historical trajectory, becoming too mathematical. Using the philosophy of mathematics, this unique book re-examines this trajectory. Philosophy of Mathematics and Economics re-analyses the divergent rationales for mathematical economics by some of its principal architects. Yet, it is not limited to simply enhancing our understanding of how economics became an applied mathematical science. The authors also critically evaluate developments in the philosophy of mathematics to expose the inadequacy of aspects of mainstream mathematical economics, as well as exploiting the same philosophy to suggest alternative ways of rigorously formulating economic theory for our digital age. This book represents an innovative attempt to more fully understand the complexity of the interaction between developments in the philosophy of mathematics and the process of formalisation in economics. Assuming no expert knowledge in the philosophy of mathematics, this work is relevant to historians of economic thought and professional philosophers of economics. In addition, it will be of great interest to those who wish to deepen their appreciation of the economic contours of contemporary society. It is also hoped that mathematical economists will find this work informative and engaging.

Author : Joel N. Franklin
Publisher : Springer
Page : 307 pages
File Size : 44,5 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662253175

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Methods of Mathematical Economics by Joel N. Franklin Pdf

In 1924 the firm of Julius Springer published the first volume of Methods of Mathematical Physics by Richard Courant and David Hilbert. In the preface, Courant says this: Since the seventeenth century, physical intuition has served as a vital source for mathematical problems and methods. Recent trends and fashions have, however, weakened the connection between mathematics and physics; mathematicians, turning away from the roots of mathematics in intuition, have concentrated on refinement and emphasized the postulational side of mathematics, and at times have overlooked the unity of their science with physics and other fields. In many cases, physicists have ceased to appreciate the attitudes of mathematicians. This rift is unquestionably a serious threat to science as a whole; the broad stream of scientific development may split into smaller and smaller rivulets and dry out. It seems therefore important to direct our efforts toward reuniting divergent trends by clarifying the common features and interconnections of many distinct and diverse scientific facts. Only thus can the student attain some mastery of the material and the basis be prepared for further organic development of research. The present work is designed to serve this purpose for the field of mathe matical physics . . . . Completeness is not attempted, but it is hoped that access to a rich and important field will be facilitated by the book. When I was a student, the book of Courant and Hilbert was my bible.

Author : Michael J. Panik
Publisher : CRC Press
Page : 343 pages
File Size : 53,5 Mb
Release : 2021-09-30
Category : Mathematics
ISBN : 9781000408843

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Mathematical Analysis and Optimization for Economists by Michael J. Panik Pdf

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.

Author : Kumaraswamy Velupillai
Publisher : Unknown
Page : 250 pages
File Size : 42,5 Mb
Release : 2000
Category : Business & Economics
ISBN : 0198295278

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Computable Economics by Kumaraswamy Velupillai Pdf

In the field of economic analysis, computability in the formation of economic hypotheses is seen as the way forward. In this book, Professor Velupillai implements a theoretical research program along these lines. Choice theory, learning rational expectations equlibria, the persistence of adaptive behavior, arithmetical games, aspects of production theory, and economic dynamics are given recursion theoretic (i.e. computable) interpretations.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 46,6 Mb
Release : 2024-04-26
Category : Electronic
ISBN : OCLC:882584270

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The Foundations of Mathematical Economics by Anonim Pdf

Author : Akira Takayama
Publisher : Cambridge University Press
Page : 770 pages
File Size : 50,5 Mb
Release : 1985-08-30
Category : Business & Economics
ISBN : 0521314984

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Mathematical Economics by Akira Takayama Pdf

This systematic exposition and survey of mathematical economics emphasizes the unifying structures of economic theory.

Author : Michael R. Caputo
Publisher : Cambridge University Press
Page : 592 pages
File Size : 49,5 Mb
Release : 2005-01-10
Category : Business & Economics
ISBN : 9781107717633

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Foundations of Dynamic Economic Analysis by Michael R. Caputo Pdf

Foundations of Dynamic Economic Analysis presents a modern and thorough exposition of the fundamental mathematical formalism used to study optimal control theory, i.e., continuous time dynamic economic processes, and to interpret dynamic economic behavior. The style of presentation, with its continual emphasis on the economic interpretation of mathematics and models, distinguishes it from several other excellent texts on the subject. This approach is aided dramatically by introducing the dynamic envelope theorem and the method of comparative dynamics early in the exposition. Accordingly, motivated and economically revealing proofs of the transversality conditions come about by use of the dynamic envelope theorem. Furthermore, such sequencing of the material naturally leads to the development of the primal-dual method of comparative dynamics and dynamic duality theory, two modern approaches used to tease out the empirical content of optimal control models. The stylistic approach ultimately draws attention to the empirical richness of optimal control theory, a feature missing in virtually all other textbooks of this type.

Author : Yves Balasko
Publisher : World Scientific
Page : 280 pages
File Size : 40,5 Mb
Release : 2016-05-11
Category : Business & Economics
ISBN : 9789814651721

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Foundations of the Theory of General Equilibrium by Yves Balasko Pdf

The economic theory of general equilibrium underpins the most important models used in economic theory in general and in its more specialized areas such as macroeconomics, international trade, environmental economics, growth theory, and developmental economics. In Foundations of the Theory of General Equilibrium, leading academic scholar, Yves Balasko offers a good introduction to the economic theory of general equilibrium and makes use of various mathematical tools as intuitive and easy as possible. The second half of the book addresses properties of the general equilibrium model that are still at the frontier of current research. These properties deal with the characterization of economies with a unique equilibrium and, more generally, with the relationships between the number of equilibria and the fundamentals of an economy. Contents:The Exchange ModelA Simple Linear Version of the Exchange ModelThe Exchange Model with Two Goods and Two ConsumersConsumer TheoryThe Equilibrium ManifoldThe Natural ProjectionEquilibrium Analysis for Fixed Total ResourcesThe Natural Projection and Envelope TheoryA Duality TheorySeveral Extensions of the General Equilibrium Model Readership: Graduate students in mathematics who want to specialize in economics and mathematical economics; researchers and professionals who will find in this book a detailed account of some of the most current developments of a difficult but essential theory.

Author : Geoffrey Renshaw,Norman Ireland
Publisher : Oxford University Press, USA
Page : 674 pages
File Size : 52,7 Mb
Release : 2009
Category : Business & Economics
ISBN : STANFORD:36105132256806

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Maths for Economics by Geoffrey Renshaw,Norman Ireland Pdf

'Maths for Economics' provides a solid and comprehensive foundation in the mathematical techniques used in economics, beginning by revisiting basic skills in arithmetic, algebra and equation solving and slowly building to more advanced topics.

Author : John M. Letiche
Publisher : Academic Press
Page : 988 pages
File Size : 49,7 Mb
Release : 2014-06-28
Category : Business & Economics
ISBN : 9781483297040

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International Economic Policies and Their Theoretical Foundations by John M. Letiche Pdf

The literature on international economics has become excessively specialized. In selecting distinguished readings for this source book--including contributions by Nobel laureates such as Lawrence R. Klein, Arthur Lewis, James Meade, and Theodore W. Schultz--Professor Letiche breaks the mold. The essays concentrate on interrelation between theory and actual policy design, and this collection of classic pieces and recent economic contributions are a valued resource in universities and government offices.