Linear Programming and Extensions (Princeton Landmarks in Mathematics and Physics) - Hardcover

Dantzig, George B.

Hardcover

ISBN 10: 0691080003 ISBN 13: 9780691080000

Publisher: Princeton University Press, 1963

Synopsis

The influential book that established the mathematical discipline of linear programming

In the worlds of finance, business, and management, mathematicians and economists frequently encounter problems of optimization. In this classic book, George Dantzig shows how the methods of linear programming can provide solutions. Drawing on a wealth of examples, he introduces the basic theory of linear inequalities and describes the powerful simplex method used to solve them. He discusses the price concept, the transportation problem, and matrix methods, and covers key mathematical concepts such as the properties of convex sets and linear vector spaces. Dantzig demonstrates how linear programming can be applied to a host of optimization problems, from minimizing traffic congestion to maximizing the scheduling of airline flights.

An invaluable resource for students and practitioners alike, Linear Programming and Extensions is an extraordinary account of the development and uses of this versatile mathematical technique, blending foundational research in mathematical theory with computation, economic analysis, and applications to industrial problems.

About this title

About the Author

George B. Dantzig (1914–2005) is widely acclaimed as the father of linear programming and was a leading figure in the development of mathematical optimization, making important contributions to fields such as industrial engineering, economics, and statistics. He was professor emeritus of operations research and computer science at Stanford University.

From the Back Cover

"The author of this book was the main force in establishing a new mathematical discipline, and he has contributed to its further development at every stage and from every angle. This volume ... is a treasure trove for those who work in this field--teachers, students, and users alike. Its encyclopaedic coverage, due in part to collaboration with other experts, makes it an absolute must."--S. Vajda,Zentralblatt für Mathematik und ihre Grenzgebiete

From the Inside Flap

"The author of this book was the main force in establishing a new mathematical discipline, and he has contributed to its further development at every stage and from every angle. This volume ... is a treasure trove for those who work in this field--teachers, students, and users alike. Its encyclopaedic coverage, due in part to collaboration with other experts, makes it an absolute must."--S. Vajda, Zentralblatt für Mathematik und ihre Grenzgebiete

Edition details

• Publisher: Princeton University Press
• Publication date: 1963
• Language: English
• ISBN 10: 0691080003
• ISBN 13: 9780691080000
• Binding: Hardcover
• Edition number: 1
• Number of pages: 642