Introduction to Linear Programming (English Version)

Author: Leonid N. Vaserstein (USA)
Publisher:
Publish Date: 2005-06-01
Features: This textbook evolved from an advanced undergraduate mathematics course. It covers the fundamental topics of linear programming while including many advanced topics. Through exercises of varying difficulty levels, it provides students with opportunities for gradual improvement and allows outstanding students to tackle more challenging tasks. This textbook evolved from an advanced undergraduate mathematics course. It covers the fundamental topics of linear programming while including many advanced topics. Through exercises of varying difficulty levels, it provides students with opportunities for gradual improvement and allows outstanding students to tackle more challenging tasks.
Key Features of the Book
● Emphasizes logical reasoning and application modeling, enabling students from non-mathematics disciplines such as management, economics, and operations research to learn and apply linear programming in their respective fields.
● Applies mathematical tools without relying on rigorous mathematical development, providing senior mathematics students with the theoretical foundation needed for further research.
● Exercises of varying difficulty levels cater to students of different abilities, offering challenging tasks.
● An appendix introduces deeper material on mathematical programming, providing advanced topics for mathematics students and references for applied students on established methods.
● Presents a systematic methodology for modeling problems, guiding students on how to develop modeling as a skill rather than relying on intuition to solve problems.
● Utilizes computer software to solve linear programming problems, instructing students on how to use various computer software packages and online tools for solving LP problems.
The solutions to the exercises in this book can be downloaded from [http://www.math.psu.edu/vstein/LPbook/sol2.pdf] or accessed via the Wharton Press website.