Linear Programming: An Introduction to Finite Improvement Algorithms: Second Edition (Dover Books on Mathematics)

Book Details

• Publisher: Dover Publications

• Author: Prof. Daniel Solow

• Language: English

• Edition: Second

• ISBN: 9780486493763

• Pages: 432

• Cover: Paperback

• Format: Illustrated

• Dimensions: 10.0 x 9.2 x 1.1 inches

About The Book

Introduction to Linear Programming (Second Edition) by Prof. Daniel Solow is a comprehensive and accessible textbook designed for undergraduate mathematics students and graduate students in operations research and engineering. This well-structured text covers the basic theory and computation for a first course in linear programming, providing a solid foundation for both theoretical and practical aspects of the subject.

The book starts with an introductory chapter that offers a systematic approach to problem formulation, followed by a detailed exploration of geometric motivation, proof techniques, and algebraic steps related to the simplex algorithm. The text delves deeply into the simplex method, including standard phase 1 problems and computational implementation, making it an essential resource for anyone learning or applying linear programming.

Additional key topics include duality theory, sensitivity and parametric analysis, techniques for handling bound constraints, and network flow problems. The second edition includes new appendices, with a helpful addition explaining how to use Excel to solve linear programming problems, enhancing the book’s practical application.

With numerous examples, exercises, and in-depth discussions, this book is ideal for students and professionals looking to gain a strong grasp of linear programming theory and computation. Prof. Daniel Solow’s clear explanations and practical approach make this text a valuable resource for anyone interested in mastering the concepts and techniques of linear programming.