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Introduction to Mathematical Programming [Hardcover]

Russell C. Walker (Author)


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Book Description

January 23, 1999 0132637650 978-0132637657

Empowering users with the knowledge necessary to begin using mathematical programming as a tool for managerial applications and beyond, this practical guide shows when a mathematical model can be useful in solving a problem, and instills an appreciation and understanding of the mathematics associated with the applied techniques. Surveys problem types, and discusses various ways to use specific mathematical tools. Contains prerequisite material for the study of linear programming, and offers a brief introduction to matrix algebra. Discusses the special structures of four network problems: the transportation problem, the critical path method, the shortest path problem, and minimal spanning trees. Covers compound interest and explores the financial aspects of specific problems considered throughout the book. Touches on "mathematics" oriented (vs. applications) material, with integrated proofs and discussions on such topics basic graph theory, linear algebra, analysis, properties of algorithms, and combinatorics. An extensive appendix section includes answers to many problems, an introduction to the linear programming package LINDO, an overview of the symbolic computation package Maple, and brief introductions to the TI-82 and TI-92 calculators and their applications.


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From the Back Cover

Empowering users with the knowledge necessary to begin using mathematical programming as a tool for managerial applications and beyond, this practical guide shows when a mathematical model can be useful in solving a problem, and instills an appreciation and understanding of the mathematics associated with the applied techniques. Surveys problem types, and discusses various ways to use specific mathematical tools. Contains prerequisite material for the study of linear programming, and offers a brief introduction to matrix algebra. Discusses the special structures of four network problems: the transportation problem, the critical path method, the shortest path problem, and minimal spanning trees. Covers compound interest and explores the financial aspects of specific problems considered throughout the book. Touches on "mathematics" oriented (vs. applications) material, with integrated proofs and discussions on such topics basic graph theory, linear algebra, analysis, properties of algorithms, and combinatorics. An extensive appendix section includes answers to many problems, an introduction to the linear programming package LINDO, an overview of the symbolic computation package Maple, and brief introductions to the TI-82 and TI-92 calculators and their applications.

Product Details

  • Hardcover: 560 pages
  • Publisher: Prentice Hall (January 23, 1999)
  • Language: English
  • ISBN-10: 0132637650
  • ISBN-13: 978-0132637657
  • Product Dimensions: 9.2 x 6.8 x 1.1 inches
  • Shipping Weight: 1.8 pounds
  • Amazon Best Sellers Rank: #1,418,036 in Books (See Top 100 in Books)

More About the Author

Russell C. Walker is a Teaching Professor in the Carnegie Mellon University
Department of Mathematical Sciences. He earned his undergraduate degree in
mathematics from the University of Akron, and his Masters and Doctor of Arts in
Mathematics from Carnegie Mellon.

He was the Associate Head of the Carnegie Mellon Department of Mathematical Sciences from 1985 until 2007.

He was the winner of the Carnegie Mellon University Academic Advising Award,
2003-04, and while at Seton Hill, the Alpha Lambda Delta Book Award as Professor of the Year, 1982-83.

He is the author of two books, "Introduction to Mathematical Programming", the text for Models and Methods for Optimization in the Business Adminstration degree program at Carnegie Mellon, and "The Stone-Cech Compactification", an expanded version of his Doctor of Arts thesis.

His hobbies are art and tropical fish. He enjoys playing basketball and cribbage.

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