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Linear optimization : the simplex workbook / Glenn H. Hurlbert.

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Author/Creator:
Hurlbert, Glenn H.
Language:
English.
Publication date:
2010
Imprint:
New York : Springer, c2010.
Format:
  • Book
  • xvii, 272 p. : ill. ; 25 cm.
Bibliography:
Includes bibliographical references and index.
Contents:
  • 1. Introduction
  • 2. The Simplex Algorithm
  • 3. Geometry
  • 4. The duality theorem
  • 5. Matrix environment
  • 6. General form
  • 7. Unsolvable systems
  • 8. Geometry revisited
  • 9. Game theory
  • Network environment
  • 11. Combinatorics
  • 12. Economics
  • 13. Integer optimization
  • A. Linear algebra review
  • B. Equivalence of auxiliary and shortcut methods
  • C. Complexity
  • D. Software.
Summary:
"This undergraduate textbook is written for a junior/senior level course on linear optimization. Unlike other texts, the treatment allows the use of the "modified Moore method" approach by working examples and proof opportunities into the text in order to encourage students to develop some of the content through their own experiments and arguments while reading the text. Additionally, the focus is on the mathematics underlying the ideas of optimizing linear functions under linear constraints and the algorithms used to solve them. In particular, the author uses the Simplex Algorithm to motivate these concepts. The text progresses at a gentle and inviting pace. The presentation is driven by numerous examples and illustrations."--BOOK JACKET.
Series:
Undergraduate texts in mathematics.
Subjects:
ISBN:
9780387791470
0387791477
9780387791487
0387791485
Publisher No.:
11927648

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