Linear Programming and Generalizations
A Problem-based Introduction with Spreadsheets
1st Edition
Published on 25. July 2011
X, 673 pages
978-1-4419-6491-5 (ISBN)
Description
This book on constrained optimization is novel in that it fuses these themes:
use examples to introduce general ideas;
engage the student in spreadsheet computation;
survey the uses of constrained optimization;.
investigate game theory and nonlinear optimization,
link the subject to economic reasoning, and
present the requisite mathematics.
Blending these themes makes constrained optimization more accessible and more valuable. It stimulates the student's interest, quickens the learning process, reveals connections to several academic and professional fields, and deepens the student's grasp of the relevant mathematics.
The book is designed for use in courses that focus on the applications of constrained optimization, in courses that emphasize the theory, and in courses that link the subject to economics.
Reviews / Votes
From the reviews:
"This text includes a more in-depth review of LP, lending the student thorough knowledge of the art and science of problem solving using LP. . Undergraduate students in applied commerce or business programs are clearly part of the audience. It is also suitable for a course that introduces LP, its application, and its integration with widely used software . . Practitioners with an interest in refreshing their knowledge in LP or expanding their knowledge to include LP will be equally satisfied by this book." (Geoffrey T. Pond, Interfaces, Vol. 42 (3), May-June, 2012)
More details
Series
Language
English
Place of publication
New York
United States
Publishing group
Springer US
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
X, 673 p. 145 illus.
File size
9,96 MB
ISBN-13
978-1-4419-6491-5 (9781441964915)
DOI
10.1007/978-1-4419-6491-5
Schweitzer Classification
Other editions
Additional editions
Eric V. DeNardo
Linear Programming and Generalizations
A Problem-based Introduction with Spreadsheets
Book
07/2011
Springer
€106.99
Shipment within 15-20 days
Content
Chapter 1. Introduction to Linear Programs.- Chapter 2. Spreadsheet Computation.- Chapter 3. Mathematical Preliminaries.- Chapter 4. The Simplex Method, Part 1.- Chapter 5. Analyzing Linear Programs.- Chapter 6. The Simplex Method, Part 2.- Chapter 7. A Survey of Optimization Problems.- Chapter 8. Path-Length Problems and Dynamic Programming.- Chapter 9. Flows in Networks.- Chapter 10. Vector Spaces and Linear Programs.- Chapter 11. Multipliers and the Simplex Method.- Chapter 12. Duality.- Chapter 13. The Dual Simplex Pivot and Its Uses.- Chapter 14. Introduction to Game Theory.- Chapter 15. The Bi-Matrix Game.- Chapter 16. Fixed Points and Equilibria.- Chapter 17. Convex Sets.- Chapter 18. Differentiation.- Chapter 19. Convex Functions.- Chapter 20.- Nonlinear Programs.
