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Lot 132
LINEAR PROGRAMMING. SAMUELSON, PAUL ANTHONY. 1915-2009. The Le Chatelier principle in linear programming. U.S. Air Force Project RAND report RM-210. Santa Monica, CA: The RAND Corporation, 4 August 1949.
4 June 2014, 13:00 EDT
New YorkUS$1,500 - US$2,500
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LINEAR PROGRAMMING.
SAMUELSON, PAUL ANTHONY. 1915-2009. The Le Chatelier principle in linear programming. U.S. Air Force Project RAND report RM-210. Santa Monica, CA: The RAND Corporation, 4 August 1949.
8vo. 18 ff. Typescript duplicated by early chemical photocopy process. Original printed wrappers with author and title of paper supplied in original typescript, three or four small marginal tears, but fine otherwise.
Provenance: Samuelson's copy, no 25 (of most likely 50 copies or fewer), assigned to Samuelson on the title in a secretarial hand; Jeremy Norman.
FIRST EDITION, THE AUTHOR'S OWN COPY TO WHICH SAMUELSON FIRST APPLIED THE LE CHATELIER PRINCIPLE OF THERMODYNAMICS TO THE FIELD OF LINEAR PROGRAMMING. Samuelson was responsible, more than anyone else, for incorporating the use of mathematics and the principles of optimization that characterize the modern paradigm of economic analysis. In his magnum opus, The Foundations of Economic Analysis (1947), Samuelson established the method of "comparative statics" by adapting the Le Châtelier principle of thermodynamics in order to solve the fundamental problem of explaining how the coordinates of an equilibrium point defined by a system of equations shift when one or more of the given determining parameters changes. Samuelson's method of comparative statics lies at the core of modern economic analysis.
In this research paper Samuelson first introduced his principle, which later became known as the Samuelson-Le Châtelier (or correspondence) principle, into the newly born field of linear programming, which is a mathematical method for determining a way to achieve the best outcome in a given mathematical model. The method was first developed in 1939 by Russian mathematician Leonid Kantorovich, and further expanded in the following decade by George Dantzig, who published the simplex method in 1947, and John von Neumann, who developed the theory of the duality in the same year. Linear programming is used most often in business, economics and operations research. Samuelson published numerous works on linear programming, culminating with Linear Programming and Economic Analysis (1958), co-authored with Robert Dorfman and Robert Solow. Samuelson was the first American to receive the Nobel Prize in Economics.
8vo. 18 ff. Typescript duplicated by early chemical photocopy process. Original printed wrappers with author and title of paper supplied in original typescript, three or four small marginal tears, but fine otherwise.
Provenance: Samuelson's copy, no 25 (of most likely 50 copies or fewer), assigned to Samuelson on the title in a secretarial hand; Jeremy Norman.
FIRST EDITION, THE AUTHOR'S OWN COPY TO WHICH SAMUELSON FIRST APPLIED THE LE CHATELIER PRINCIPLE OF THERMODYNAMICS TO THE FIELD OF LINEAR PROGRAMMING. Samuelson was responsible, more than anyone else, for incorporating the use of mathematics and the principles of optimization that characterize the modern paradigm of economic analysis. In his magnum opus, The Foundations of Economic Analysis (1947), Samuelson established the method of "comparative statics" by adapting the Le Châtelier principle of thermodynamics in order to solve the fundamental problem of explaining how the coordinates of an equilibrium point defined by a system of equations shift when one or more of the given determining parameters changes. Samuelson's method of comparative statics lies at the core of modern economic analysis.
In this research paper Samuelson first introduced his principle, which later became known as the Samuelson-Le Châtelier (or correspondence) principle, into the newly born field of linear programming, which is a mathematical method for determining a way to achieve the best outcome in a given mathematical model. The method was first developed in 1939 by Russian mathematician Leonid Kantorovich, and further expanded in the following decade by George Dantzig, who published the simplex method in 1947, and John von Neumann, who developed the theory of the duality in the same year. Linear programming is used most often in business, economics and operations research. Samuelson published numerous works on linear programming, culminating with Linear Programming and Economic Analysis (1958), co-authored with Robert Dorfman and Robert Solow. Samuelson was the first American to receive the Nobel Prize in Economics.