Linear Programming: 106 (Progress in Theoretical Computer Science) - Hardcover

Karloff, Howard

Hardcover

ISBN 10: 3764335610 ISBN 13: 9783764335618

Publisher: Birkhauser Verlag AG, 1991

Synopsis

To this reviewer’s knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming.... Style is informal. ...Recommended highly for acquisition, since it is not only a textbook, but can also be used for independent reading and study.

―Choice Reviews

 

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

―Zentralblatt Math

About this title

Review

From the reviews:

“... the reader will be well served by reading the monograph from cover to cover. The author succeeds in providing a concise, readable, understandable introduction to modern linear programming.” (Mathematics of Computing)

“The presentation is admirable; Karloff's style is informal (even humorous at times) without sacrificing anything necessary for understanding. Diagrams (including horizontal brackets that group terms) 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)

From the Back Cover

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 (even humorous at times) without sacrificing anything necessary for understanding. Diagrams (including horizontal brackets that group terms) 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. The author succeeds in providing a concise, readable, understandable introduction to modern linear programming.

―Mathematics of Computing

 

This is a textbook intended for advanced undergraduate or graduate students. It contains both theory and computational practice. After preliminary discussion of linear algebra and geometry, it describes the simplex algorithm, duality, the ellipsoid algorithm (Khachiyan’s algorithm) and Karmarkar’s algorithm.

―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

Edition details

• Publisher: Birkhauser Verlag AG
• Publication date: 1991
• ISBN 10: 3764335610
• ISBN 13: 9783764335618
• Binding: Hardcover
• Language: English
• Edition number: 2
• Number of pages: 142