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History of Economics, Mathematical Economics
How Economics Became a Mathematical Science by E. Roy Weintraub — book cover

How Economics Became a Mathematical Science

by E. Roy Weintraub, Barbara Herrnstein Smith
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Overview

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.
This work will interest economists, mathematicians, philosophers, and historians of science, sociologists of science, and science studies scholars.

Synopsis

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.

This work will interest economists, mathematicians, philosophers, and historians of science, sociologists of science, and science studies scholars.

About the Author

E. Roy Weintraub is Professor of Economics at Duke University. He is the editor of Toward a History of Game Theory, also published by Duke University Press, and the author of numerous books, including Stabilizing Dynamics: Constructing Economic Knowledge.

Southern Economic Journal

I was not prepared to enjoy this book. I knew Weintraub to be a lively writer, but his topic was daunting. I was half expecting a forthrightly pedantic and in the end ploddingly dull monograph that followed the usual formulaic listing of 'seminal contributions' on the road to full mathematization. . . . To my great good fortune, Roy Weintraub's How Economics Became a Mathematical Science is neither pedantic or dull. It is, in fact, an altogether extraordinary book. . . . This, then, is an enjoyable book to read. But it is also an important one. I do not think it is an exaggeration to say that How Economics Became a Mathematical Science itself promises to change the way that people view the relationship between mathematics and economics. . . . How Economics Became a Mathematical Science is a gem, the work of a mature historian of thought at the peak of his powers. It is also a book that virtually any economist will enjoy. Whether you call it a late holiday present or anticipated beach reading, treat yourself to this book.—Bruce Caldwell,

About the Author, E. Roy Weintraub

E. Roy Weintraub is Professor of Economics at Duke University. He is the editor of Toward a History of Game Theory, also published by Duke University Press, and the author of numerous books, including Stabilizing Dynamics: Constructing Economic Knowledge.

Reviews

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Editorials

From the Publisher

“Roy Weintraub retells the history of twentieth-century economics through a series of engagements—duels of intellect and imagination—between individual members of two scientific communities: the mathematicians and the economists. A totally original, idiosyncratic, and highly personal account which illuminates brilliantly not just how economics became mathematized, but how mathematics cut free from the objects of science.”—Mary S. Morgan, London School of Economics and University of Amsterdam

“The mathematization of economics is probably the most important development in the history of twentieth-century economics. This book provides fascinating accounts of important episodes in this process and should interest anyone who wants to understand how and why it took place.”—Roger Backhouse, University of Birmingham

EH.Net

It is an important contribution to the history of economics, it is interesting in all respects, and I recommend it to economists and historians of science. . . . [L]et us salute Professor Weintraub for his excellent and stimulating book. One can only be heartened at Duke's continuing preeminence in and emphasis on the history of economics.—Robert D. Tollison,

Journal of Economics

Weintraub's book bring to the fore an interesting and well-documented story full of insight on the complex interplay among pure scientific ideas, images of these ideas, and no less than that, institutional and historical factors. . . . Weintraub's book makes it clear that there is also much to learn from a similar, detailed study of the history of economics. But more in general this book will make interesting reading to readers with a broader scope of interest in history of science at large. . . . I do believe that Weintraub's book embodies the kind of research that can positively help practitioners of the discipline realize the kind of insight to be expected by studying the history of their field when presented in a stimulating, well-researched and authoritative way as is the case here.—Leo Corry

Mathematical Reviews

[E]xcellent. . . . Weintraub's discussion is, as always, illuminating. . . . I have enjoyed reading this book and learned much from it. . . . [T]his book is a considerable success.—Salim Rashid

Journal of Business History

[S]hould interest a broad, interdisciplinary readership. . . . [S]ucceed[s] in ably demonstrating the virtues of combining different strategies for the analysis and writing of the history of economics itself. . . . Weintraub carefully (and honestly) avoids taking sides in this morality play. His objective is altogether different, new, and significant. . . . Weintraub concludes his extraordinary book with an altogether unusual blending of professional and personal history. . . . It is delightful, at times funny, always warm and touching, and in the end deeply poignant vignette.—Michael A. Bernstein

Southern Economic Journal

I was not prepared to enjoy this book. I knew Weintraub to be a lively writer, but his topic was daunting. I was half expecting a forthrightly pedantic and in the end ploddingly dull monograph that followed the usual formulaic listing of 'seminal contributions' on the road to full mathematization. . . . To my great good fortune, Roy Weintraub's How Economics Became a Mathematical Science is neither pedantic or dull. It is, in fact, an altogether extraordinary book. . . . This, then, is an enjoyable book to read. But it is also an important one. I do not think it is an exaggeration to say that How Economics Became a Mathematical Science itself promises to change the way that people view the relationship between mathematics and economics. . . . How Economics Became a Mathematical Science is a gem, the work of a mature historian of thought at the peak of his powers. It is also a book that virtually any economist will enjoy. Whether you call it a late holiday present or anticipated beach reading, treat yourself to this book.—Bruce Caldwell,

Journal of the History of Economic Thought

This book . . . demonstrates brilliantly the potential advantages of a wider perspective that draws from multiple disciplinary traditions.—Ted Porter

H-Net Reviews

[I]nteresting. . . . [F]ascinating. . . . I have nothing critical to say about the book. It is an important contribution to the history of economics, it is interesting in all respects, and I do recommend it to economists and historians of science. . . . [L]et us salute Professor Weintraub for his excellent and stimulating book. One can only be heartened at Duke's continuing preeminence in and emphasis on the history of economics.—Robert D. Tollison

Book Details

Published
January 1, 2002
Publisher
Duke University Press Books
Pages
313
Format
Paperback
ISBN
9780822328711

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