Linear and Nonlinear Programming with Maple: An Interactive, Applications-Based Approach

ISBN-13: 9780367384777 / Angielski / Miękka / 2019 / 413 str.

Paul E. Fishback

Opis

Integrating a hands-on learning approach, a strong linear algebra focus, Maple™ software, and real-world applications, this text introduces the mathematical concepts and principles underlying linear and nonlinear programming. It draws on the simplex method to develop the major ideas of duality and sensitivity analysis and provides applications and exercises from zoology, chemistry, and game theory to illustrate how linear and nonlinear programming are invaluable problem solving tools. The text solves problems using Maple and includes explicit Maple instructions, important commands, and sample worksheets. Maple worksheets and code are available on the book’s website.

Spis treści

LINEAR PROGRAMMING: An Introduction to Linear Programming. The Simplex Algorithm. Standard Applications of Linear Programming. Duality and Sensitivity Analysis. Integer Linear Programming. NONLINEAR PROGRAMMING: Algebraic Methods for Unconstrained Problems. Numeric Tools for Unconstrained Nonlinear Problems. Methods for Constrained Nonlinear Problems. Appendices. Bibliography. Index.

O autorze

Paul E. Fishback is a professor in the Department of Mathematics at Grand Valley State University in Allendale, Michigan, USA.