Linear Programming

To this reviewer s knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming from the Simplex Method via the Ellipsoid algorithm to Karmarkar s algorithm. Moreover, its point of view is algorithmic and thus it provides both a history and a case history of work in complexity theory. The presentation is admirable; Karloff' s style is informal. . . without sacrificing anything necessary for understanding. Diagrams. . . aid in providing clarity. The end-of-chapter notes are helpful. . . Recommended highly for acquisition, since it is not only a textbook, but can also be used for independent reading and study.
(Choice Reviews)

The reader will be well served by reading the monograph from cover to cover. (
Mathematics of Computing)

This is a textbook intended for advanced undergraduate or graduate students. It contains both theory and computational practice.
(Zentralblatt Math)

The exposition is clear and elementary; it also contains many exercises and illustrations. (
Mathematical Reviews)

A self-contained, concise mathematical introduction to the theory of linear programming. (
Journal of Economic Literature)