The Mathematics of Nonlinear Programming (Undergraduate Texts in Mathematics)

Peressini, Anthony L. L.; Sullivan, Francis E.; Uhl, J.J. Jr.

ISBN 10: 146126989X / ISBN 13: 9781461269892

Verlag: Springer, 2012

Beschreibung

Bestandsnummer des Verkäufers I-9781461269892

Bibliografische Details

• Titel: The Mathematics of Nonlinear Programming (Undergraduate Texts in Mathematics)
• Verlag: Springer
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 146126989X
• ISBN-13: 9781461269892
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

The book is aimed at students who have a working knowledge of linear algebra and partial differentiation but has had no previous exposure to optimization. Mathematics instructors will be comfortable with the mathematical approach which deemphasizes recipes and emphasizes underlying concepts. There are many exercises chosen to highlight the fundamental ideas.

Reseña del editor

Nonlinear programming provides an excellent opportunity to explore an interesting variety of pure and solidly applicable mathematics, numerical analysis, and computing. This text develops some of the ideas and techniques involved in the optimization methods using calculus, leading to the study of convexity. This is followed by material on basic numerical methods, least squares, the Karush-Kuhn-Tucker theorem, penalty functions, and Lagrange multipliers. The authors have aimed their presentation at the student who has a working knowledge of matrix algebra and advanced calculus, but has had no previous exposure to optimization.