The Basic George B. Dantzig

Author: Richard Cottle Series: Stanford Business Books

Widely known as the father of linear programming, George B. Dantzig has been a major influence in mathematics, operations research and economics. This volume highlights the breadth and influence of his research, including mathematical statistics, economic modelling and network optimization.

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Summary

Description

The 24 chapters of this volume highlight the amazing breadth and enduring influence of Dantzig's research. Short, non-technical summaries at the opening of each major section introduce a specific research area and discuss the current significance of Dantzig's work in that field. Among the topics covered are mathematical statistics, the Simplex Method of linear programming, economic modeling, network optimization, and nonlinear programming. The book also includes a complete bibliography of Dantzig's writings.

Critic Reviews

“This collection of papers not only represents a sample of the extraordinary contributions of George Dantzig but also chronicles the fundamental concepts of mathematical programming and operations research. Virtually all of today's work in optimization finds its origin in one or more of these papers. Beyond their historical importance for developing new tools and insights, these articles also demonstrate the elegance and clarity of Dantzig's style of exposition. Students and researchers in all mathematical science fields can learn from his example." ”

About the Author

Richard W. Cottle is Professor of Management Science and Engineering at Stanford University.

Back Cover

"George B. Dantzig was one of the most important creative minds of the last half-century. Having a selection of his work is a scholarly must, and anyone interested in the application of quantitative methods to the achievement of efficiency must be grateful." -Kenneth J. Arrow,Nobel Laureate, Stanford University "This collection of papers not only represents a sample of the extraordinary contributions of George Dantzig but also chronicles the fundamental concepts of mathematical programming and operations research. Virtually all of today's work in optimization finds its origin in one or more of these papers. Beyond their historical importance for developing new tools and insights, these articles also demonstrate the elegance and clarity of Dantzig's style of exposition. Students and researchers in all mathematical science fields can learn from his example." -John R. Birge, Dean, Robert R. McCormick School of Engineering and Applied Science, Northwestern University

More on this Book

The late George B. Dantzig , widely known as the father of linear programming, was a major influence in mathematics, operations research, and economics. As Professor Emeritus at Stanford University, he continued his decades of research on linear programming and related subjects. Dantzig was awarded eight honorary doctorates, the National Medal of Science, and the John von Neumann Theory Prize from the Institute for Operations Research and the Management Sciences. The 24 chapters of this volume highlight the amazing breadth and enduring influence of Dantzig's research. Short, non-technical summaries at the opening of each major section introduce a specific research area and discuss the current significance of Dantzig's work in that field. Among the topics covered are mathematical statistics, the Simplex Method of linear programming, economic modeling, network optimization, and nonlinear programming. The book also includes a complete bibliography of Dantzig's writings.