Introduction to the Theory of Nonlinear Optimization
3rd Edition
Published on 6. December 2014
Book
Paperback/Softback
X, 292 pages
978-3-642-42657-5 (ISBN)
Description
This book serves as an introductory text to optimization theory in normed spaces and covers all areas of nonlinear optimization. It presents fundamentals with particular emphasis on the application to problems in the calculus of variations, approximation and optimal control theory. The reader is expected to have a basic knowledge of linear functional analysis.
Reviews / Votes
From the reviews of the third edition:
"Jahn's textbook provides a thorough development of optimality conditions for optimization problems on function spaces. . The book will be of interest to suitably prepared graduate students and researchers who are working on problems in optimal control theory. It may also be of interest to analysts who want to learn something about how functional analysis is used in the theory of optimization." (Brain Borchers, MathDL, April, 2007)
"The third edition of this book has eight chapters . . The book is written in a lucid style. It may be very useful to lecturers, students, and researchers." (Stanislaw Walczak, Zentralblatt MATH, Vol. 1115 (17), 2007)
More details
Edition
Third Edition 2007
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Edition type
Revised edition
Illustrations
X, 292 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 17 mm
Weight
464 gr
ISBN-13
978-3-642-42657-5 (9783642426575)
DOI
10.1007/978-3-540-49379-2
Schweitzer Classification
Other editions
New editions
Johannes Jahn
Introduction to the Theory of Nonlinear Optimization
Book
07/2020
4th Edition
Springer
€139.09
Shipment within 7-9 days
Additional editions
Johannes Jahn
Introduction to the Theory of Nonlinear Optimization
Book
01/2007
3rd Edition
Springer
€117.69
Article exhausted; check for reprint
Person
Johannes Jahn is a retired university professor at the Department of Mathematics of the Friedrich-Alexander-University Erlangen-Nürnberg (Germany). His research interests are theory and numerical methods in nonlinear optimization, vector optimization and set optimization. Johannes Jahn is the editor of the book series on "Vector Optimization" published with Springer.
Content
and Problem Formulation.- Existence Theorems for Minimal Points.- Generalized Derivatives.- Tangent Cones.- Generalized Lagrange Multiplier Rule.- Duality.- Application to Extended Semidefinite Optimization.- Direct Treatment of Special Optimization Problems.