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Linear Programming and Extensions

Linear Programming and Extensions

Linear Programming and Extensions Paperback / softback - 1998

by George B. Dantzig

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In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter optimization problems. First published in 1963, this classic work looks at a wealth of examples and develops linear programming methods for solutions. Treatments covered include price concepts, transportation problems, matrix methods, and the properties of convex sets and linear vector spaces.

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Paperback / softback. New. In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter optimization problems. This book develops linear programming methods for their solutions. It introduces the basic theory of linear inequalities and describes the simplex method used to solve them.
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Details

  • Title Linear Programming and Extensions
  • Author George B. Dantzig
  • Binding Paperback
  • Edition New Ed
  • Condition New
  • Pages 656
  • Volumes 1
  • Language ENG
  • Publisher Princeton University Press
  • Publication date 1998-08-23
  • Features Bibliography
  • Bookseller's Inventory # A9780691059136
  • ISBN 9780691059136 / 0691059136
  • Weight 1.92 lbs (0.87 kg)
  • Dimensions 9.2 x 6.12 x 1.31 in (23.37 x 15.54 x 3.33 cm)
  • Category Mathematics
  • Dewey Decimal Code 519.92
  • Quantity available 1

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Reader reviews for Linear Programming and Extensions

From the publisher

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.

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From the rear 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 fr Mathematik und ihre Grenzgebiete

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.
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