Optimization Theory with Applications

Donald A. Pierre

ISBN 10: 048665205X / ISBN 13: 9780486652054

Published by Dover Publications, 1986

About this Item

: Este libro ofrece un amplio espectro de enfoques para la optimización, con énfasis en técnicas básicas tanto clásicas como modernas. Tras una introducción a los conceptos de sistemas, se discute la teoría clásica de mínimos y máximos, las condiciones necesarias y suficientes para los extremos relativos de los funcionales desde el punto de vista del formalismo de Euler-Lagrange del cálculo de variaciones. También se examinan las técnicas de búsqueda y la programación no lineal, el principio de optimalidad de Bellman y la extensión del principio máximo del cálculo de variaciones clásico. Diseñado para estudiantes avanzados, ingenieros y diseñadores de sistemas, el texto es accesible con conocimientos básicos de ecuaciones diferenciales y operaciones matriciales. EAN: 9780486652054 Tipo: Libros Categoría: Tecnología|Ciencias|Educación Título: Optimization Theory with Applications Autor: Donald A. Pierre Editorial: Dover Publications Idioma: en Páginas: 612 Formato: tapa blanda.

Seller Inventory # Happ-2026-06-04-b83014eb

Bibliographic Details

• Title: Optimization Theory with Applications
• Publisher: Dover Publications
• Publication Date: 1986
• Language: English
• ISBN 10: 048665205X
• ISBN 13: 9780486652054
• Binding: Soft cover
• Condition: Aceptable

About this title

Synopsis

Optimization principles are of undisputed importance in modern design and system operation. They can be used for many purposes: optimal design of systems, optimal operation of systems, determination of performance limitations of systems, or simply the solution of sets of equations. While most books on optimization are limited to essentially one approach, this volume offers a broad spectrum of approaches, with emphasis on basic techniques from both classical and modern work.
After an introductory chapter introducing those system concepts that prevail throughout optimization problems of all types, the author discusses the classical theory of minima and maxima (Chapter 2). In Chapter 3, necessary and sufficient conditions for relative extrema of functionals are developed from the viewpoint of the Euler-Lagrange formalism of the calculus of variations. Chapter 4 is restricted to linear time-invariant systems for which significant results can be obtained via transform methods with a minimum of computational difficulty. In Chapter 5, emphasis is placed on applied problems which can be converted to a standard problem form for linear programming solutions, with the fundamentals of convex sets and simplex technique for solution given detailed attention. Chapter 6 examines search techniques and nonlinear programming. Chapter 7 covers Bellman's principle of optimality, and finally, Chapter 8 gives valuable insight into the maximum principle extension of the classical calculus of variations.
Designed for use in a first course in optimization for advanced undergraduates, graduate students, practicing engineers, and systems designers, this carefully written text is accessible to anyone with a background in basic differential equation theory and matrix operations. To help students grasp the material, the book contains many detailed examples and problems, and also includes reference sections for additional reading.