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.

DIVDiscusses the history of 20th century economics, and how it has become dominated by mathematical approaches./div

The remarkable story and personalities behind one of the most important theories in modern economics Finding Equilibrium explores the post–World War II transformation of economics by constructing a history of the proof of its central dogma—that a competitive market economy may possess a set of equilibrium prices. The model economy for which the theorem could be proved was mapped out in 1954 by Kenneth Arrow and Gerard Debreu collaboratively, and by Lionel McKenzie separately, and would become widely known as the "Arrow-Debreu Model." While Arrow and Debreu would later go on to win separate Nobel prizes in economics, McKenzie would never receive it. Till Düppe and E. Roy Weintraub explore the lives and work of these economists and the issues of scientific credit against the extraordinary backdrop of overlapping research communities and an economics discipline that was shifting dramatically to mathematical modes of expression. Based on recently opened archives, Finding Equilibrium shows the complex interplay between each man's personal life and work, and examines compelling ideas about scientific credit, publication, regard for different research institutions, and the awarding of Nobel prizes. Instead of asking whether recognition was rightly or wrongly given, and who were the heroes or villains, the book considers attitudes toward intellectual credit and strategies to gain it vis-à-vis the communities that grant it. Telling the story behind the proof of the central theorem in economics, Finding Equilibrium sheds light on the changing nature of the scientific community and the critical connections between the personal and public rewards of scientific work.

Imagine one day you went to a cash-machine and found your money was gone. You rushed to your branch, where a teller said that overnight people had stopped believing in money, and it all vanished. Seem incredible? It happened, and it could happen again. Twilight of the Money Gods is the story of economics, told not as the science it strove to be, but as the religion it became. Over two centuries, it searched for the hidden codes which would reveal the path to a promised land of material abundance. While its prophets, from Adam Smith to John Maynard Keynes and Milton Friedman, concerned themselves with the human condition, its priesthood gradually grew remote from its followers, until it lost sight of their tribulations. Today, amid a crisis of faith in their expertise, we must re-imagine an economics for a new era - one filled with both danger and opportunity.

In this "lively and entertaining" history of ideas (Liaquat Ahamed, The New Yorker), New York Times editorial writer Binyamin Appelbaum tells the story of the people who sparked four decades of economic revolution. Before the 1960s, American politicians had never paid much attention to economists. But as the post-World War II boom began to sputter, economists gained influence and power. In The Economists' Hour, Binyamin Appelbaum traces the rise of the economists, first in the United States and then around the globe, as their ideas reshaped the modern world, curbing government, unleashing corporations and hastening globalization. Some leading figures are relatively well-known, such as Milton Friedman, the elfin libertarian who had a greater influence on American life than any other economist of his generation, and Arthur Laffer, who sketched a curve on a cocktail napkin that helped to make tax cuts a staple of conservative economic policy. Others stayed out of the limelight, but left a lasting impact on modern life: Walter Oi, a blind economist who dictated to his wife and assistants some of the calculations that persuaded President Nixon to end military conscription; Alfred Kahn, who deregulated air travel and rejoiced in the crowded cabins on commercial flights as the proof of his success; and Thomas Schelling, who put a dollar value on human life. Their fundamental belief? That government should stop trying to manage the economy.Their guiding principle? That markets would deliver steady growth, and ensure that all Americans shared in the benefits. But the Economists' Hour failed to deliver on its promise of broad prosperity. And the single-minded embrace of markets has come at the expense of economic equality, the health of liberal democracy, and future generations. Timely, engaging and expertly researched, The Economists' Hour is a reckoning -- and a call for people to rewrite the rules of the market. A Wall Street Journal Business BestsellerWinner of the Porchlight Business Book Award in Narrative & Biography

Paul Samuelson was at the heart of a revolution in economics. He was "the foremost academic economist of the 20th century," according to the New York Times, and the first American to win the Nobel Prize in Economics. His work transformed the field of economics and helped give it the theoretical and mathematic rigor that increased its influence in business and policy making. In Founder of Modern Economics, Roger E. Backhouse explores the central importance of Samuelson's personality and social networks to understanding his intellectual development. This is the first of two volumes covering Samuelson's extended and productive life and career. This volume surveys Samuelson's early years growing up in the Midwest to his experiences at the University of Chicago and Harvard University, where leading scholars in economics and other disciplines stimulated and rewarded his curiosity. His thinking was influenced by the natural sciences and he understood that a critical, scientific approach increased insights into important social and economic questions. He realized that these questions could not be answered through rhetorical debate but required rigor. His "eureka" moment came, he said, when "a good fairy whispered to me that math was a skeleton key to solve age old problems in economics." Backhouse traces Samuelson's thinking from his early days to the publication of his groundbreaking book Foundations of Economic Analysis and Economics: An Introductory Analysis, which influenced generations of students. His work set the stage for economics to become a more cohesive and coherent discipline, based on mathematical techniques that provided surprising insights into many important topics, from business cycles to wage and unemployment rates, and from how competition influences trade to how tax rates affects tax collection. Founder of Modern Economics is a profound contribution to understanding how modern economics developed and the thinking of a revolutionary thinker.

Deirdre Nansen McCloskey's latest meticulous work examines how economics can become a more "human" science. Economic historian Deirdre Nansen McCloskey has distinguished herself through her writing on the Great Enrichment and the betterment of the poor—not just materially but spiritually. In Bettering Humanomics she continues her intellectually playful yet rigorous analysis with a focus on humans rather than the institutions. Going against the grain of contemporary neo-institutional and behavioral economics which privilege observation over understanding, she asserts her vision of “humanomics,” which draws on the work of Bart Wilson, Vernon Smith, and most prominently, Adam Smith. She argues for an economics that uses a comprehensive understanding of human action beyond behaviorism. McCloskey clearly articulates her points of contention with believers in “imperfections,” from Samuelson to Stiglitz, claiming that they have neglected scientific analysis in their haste to diagnose the ills of the system. In an engaging and erudite manner, she reaffirms the global successes of market-tested betterment and calls for empirical investigation that advances from material incentives to an awareness of the human within historical and ethical frameworks. Bettering Humanomics offers a critique of contemporary economics and a proposal for an economics as a better human science.

This textbook introduces students of economics to the fundamental notions and instruments in linear algebra. Linearity is used as a first approximation to many problems that are studied in different branches of science, including economics and other social sciences. Linear algebra is also the most suitable to teach students what proofs are and how to prove a statement. The proofs that are given in the text are relatively easy to understand and also endow the student with different ways of thinking in making proofs. Theorems for which no proofs are given in the book are illustrated via figures and examples. All notions are illustrated appealing to geometric intuition. The book provides a variety of economic examples using linear algebraic tools. It mainly addresses students in economics who need to build up skills in understanding mathematical reasoning. Students in mathematics and informatics may also be interested in learning about the use of mathematics in economics.

The definitive guide to the history of economic thought, fully revised twenty years after first publication Roger Backhouse's definitive guide takes the story of economic thinking from the ancient world to the present day, with a brand-new chapter on the twenty-first century and updates throughout to reflect the latest scholarship. Covering topics including globalisation, inequality, financial crises and the environment, Backhouse brings his breadth of expertise and a contemporary lens to this original and insightful exploration of economics, revealing how we got to where we are today.

This study of the fundamental theoretical underpinnings of modern economies examines how economists define and categorize the market. It suggests that modeling a social science such as economics on the physical/mathematical sciences has created intractable problems, and that the basic structure of the theory needs rethinking.A meticulously researched work in the field of mathematical economics and pure theory, The Invisible Hand traces the evolution of general economic equilibrium theory in its rich interaction with the physical sciences over a period of more than 150 years. The authors discuss how the "invisible hand" that balances physical processes was inspiration and model for the creation of general economic equilibrium theory.Ingrao and Israel review fundamental concepts of the theory, showing how its early forms, strictly analogous to mechanical equilibrium, arose from the cultural atmosphere generated by Newtonianism and the French Enlightenment. They describe developments and changes in the theory from the work of Leon Walras and Vilfredo Pareto through restructuring by the Vienna group and John Von Neumann and the contributions of the Robbins group at the London School of Economics, to its current formulations in the work of Irving Fisher, Paul Samuelson, Kenneth Arrow, and Gerard Debreu.Concluding chapters survey the results obtained in attempts to deal with questions of the existence of equilibrium, its uniqueness, and the problem of global stability. Ingrao and Israel find that the theory has arrived at a dead end, which raises serious doubts about the internal consistency of the basic model.Bruna Ingrao is Associate Professor of Economics at the University of Sassari and Giorgio Israel is Associate Professor of Mathematics at the University of Rome.