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Early Developments in Mathematical Economics

Early Developments in Mathematical Economics
Author: Reghinos D. Theocharis
Publisher: Springer
Total Pages: 269
Release: 1983-06-18
Genre: Business & Economics
ISBN: 1349049492

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Mathematical Economics

Mathematical Economics
Author: Vasily E. Tarasov
Publisher: MDPI
Total Pages: 278
Release: 2020-06-03
Genre: Business & Economics
ISBN: 303936118X

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This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.


Early Developments in Mathematical Economics

Early Developments in Mathematical Economics
Author: Rēginos D. Theocharēs
Publisher: London : Macmillan ; New York : St. Martin's Press
Total Pages: 160
Release: 1961
Genre: Economics, Mathematical
ISBN:

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How Economics Became a Mathematical Science

How Economics Became a Mathematical Science
Author: E. Roy Weintraub
Publisher: Duke University Press
Total Pages: 329
Release: 2002-05-28
Genre: Business & Economics
ISBN: 0822383802

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In How Economics Became a Mathematical Science E. Roy Weintraub traces the history of economics through the prism of the history of mathematics in the twentieth century. As mathematics has evolved, so has the image of mathematics, explains Weintraub, such as ideas about the standards for accepting proof, the meaning of rigor, and the nature of the mathematical enterprise itself. He also shows how economics itself has been shaped by economists’ changing images of mathematics. Whereas others have viewed economics as autonomous, Weintraub presents a different picture, one in which changes in mathematics—both within the body of knowledge that constitutes mathematics and in how it is thought of as a discipline and as a type of knowledge—have been intertwined with the evolution of economic thought. Weintraub begins his account with Cambridge University, the intellectual birthplace of modern economics, and examines specifically Alfred Marshall and the Mathematical Tripos examinations—tests in mathematics that were required of all who wished to study economics at Cambridge. He proceeds to interrogate the idea of a rigorous mathematical economics through the connections between particular mathematical economists and mathematicians in each of the decades of the first half of the twentieth century, and thus describes how the mathematical issues of formalism and axiomatization have shaped economics. Finally, How Economics Became a Mathematical Science reconstructs the career of the economist Sidney Weintraub, whose relationship to mathematics is viewed through his relationships with his mathematician brother, Hal, and his mathematician-economist son, the book’s author.


Early Mathematical Economics, 1871-1915

Early Mathematical Economics, 1871-1915
Author: Roberto Marchionatti
Publisher: Taylor & Francis
Total Pages: 416
Release: 2004
Genre: Classical school of economics
ISBN: 9780415276078

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The Development of Mathematical Economics

The Development of Mathematical Economics
Author: Reghinos D. Theocharis
Publisher: Springer
Total Pages: 362
Release: 1993-06-18
Genre: Business & Economics
ISBN: 1349129925

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This sequel to the author's "Early Development in Mathematical Economics" covers developments in this field after the appearance of Cournot's "Recherches" in 1838 and until the publication of Jevons' "Theory" in 1871.


Advanced Mathematical Economics

Advanced Mathematical Economics
Author: Rakesh V. Vohra
Publisher: Psychology Press
Total Pages: 212
Release: 2005
Genre: Business & Economics
ISBN: 9780415700085

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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.


Mathematics for Economists

Mathematics for Economists
Author: William Novshek
Publisher: Emerald Group Publishing
Total Pages: 350
Release: 2009-12-01
Genre: Econometrics
ISBN: 9780125225687

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This text contains the mathematical material necessary as background for the topics covered in advanced microeconomics courses. It focuses on two key components of microeconomics - optimization subject to constraints and the development of comparative statistics. Assuming familiarity with calculus of one variable and basic linear algebra, the text allows more extensive coverage of additional topics like constrained optimization, the chain rule, Taylor's theorem, line integrals and dynamic programming. It contains numerous examples that illustrate economics and mathematical situations, many with complex solutions.