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A First Course In Optimization Theory

Author: Rangarajan K. Sundaram
Publisher: Cambridge University Press
ISBN: 9780521497701
Size: 69.90 MB
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Divided into three separate parts, this book introduces students to optimization theory and its use in economics and allied disciplines. A preliminary chapter and three appendices are designed to keep the book mathematically self-contained.

A First Course In Optimization

Author: Charles L. Byrne
Publisher: CRC Press
ISBN: 1482226588
Size: 32.77 MB
Format: PDF
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Give Your Students the Proper Groundwork for Future Studies in Optimization A First Course in Optimization is designed for a one-semester course in optimization taken by advanced undergraduate and beginning graduate students in the mathematical sciences and engineering. It teaches students the basics of continuous optimization and helps them better understand the mathematics from previous courses. The book focuses on general problems and the underlying theory. It introduces all the necessary mathematical tools and results. The text covers the fundamental problems of constrained and unconstrained optimization as well as linear and convex programming. It also presents basic iterative solution algorithms (such as gradient methods and the Newton–Raphson algorithm and its variants) and more general iterative optimization methods. This text builds the foundation to understand continuous optimization. It prepares students to study advanced topics found in the author’s companion book, Iterative Optimization in Inverse Problems, including sequential unconstrained iterative optimization methods.

A First Course In Combinatorial Optimization

Author: Jon Lee
Publisher: Cambridge University Press
ISBN: 9780521010122
Size: 57.25 MB
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A First Course in Combinatorial Optimization is a text for a one-semester introductory graduate-level course for students of operations research, mathematics, and computer science. It is a self-contained treatment of the subject, requiring only some mathematical maturity. Topics include: linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Central to the exposition is the polyhedral viewpoint, which is the key principle underlying the successful integer-programming approach to combinatorial-optimization problems. Another key unifying topic is matroids. The author does not dwell on data structures and implementation details, preferring to focus on the key mathematical ideas that lead to useful models and algorithms. Problems and exercises are included throughout as well as references for further study.

Optimization Theory With Applications

Author: Donald A. Pierre
Publisher: Courier Corporation
ISBN: 0486136957
Size: 51.10 MB
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Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more. 1969 edition.

A First Course In Functional Analysis

Author: Rabindranath Sen
Publisher: Anthem Press
ISBN: 1783083247
Size: 29.54 MB
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This book provides the reader with a comprehensive introduction to functional analysis. Topics include normed linear and Hilbert spaces, the Hahn-Banach theorem, the closed graph theorem, the open mapping theorem, linear operator theory, the spectral theory, and a brief introduction to the Lebesgue measure. The book explains the motivation for the development of these theories, and applications that illustrate the theories in action. Applications in optimal control theory, variational problems, wavelet analysis and dynamical systems are also highlighted. ‘A First Course in Functional Analysis’ will serve as a ready reference to students not only of mathematics, but also of allied subjects in applied mathematics, physics, statistics and engineering.

Optimization In Economic Theory

Author: Avinash K. Dixit
Publisher: Oxford University Press on Demand
ISBN: 9780198772101
Size: 64.95 MB
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Building on a base of simple economic theory and elementary linear algebra and calculus, this broad treatment of static and dynamic optimization methods discusses the importance of shadow prices, and reviews functions defined by solutions of optimization problems. Recently revised and expanded, the second edition will be a valuable resource for upper level undergraduate and graduate students.

Optimization Theory For Large Systems

Author: Leon S. Lasdon
Publisher: Courier Corporation
ISBN: 0486143694
Size: 78.34 MB
Format: PDF
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Important text examines most significant algorithms for optimizing large systems and clarifying relations between optimization procedures. Initial chapter on linear and nonlinear programming provide the foundation for the rest of the book. Appendixes.

Foundations Of Optimization

Author: Osman Güler
Publisher: Springer Science & Business Media
ISBN: 9780387684079
Size: 38.45 MB
Format: PDF, ePub
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This book covers the fundamental principles of optimization in finite dimensions. It develops the necessary material in multivariable calculus both with coordinates and coordinate-free, so recent developments such as semidefinite programming can be dealt with.

Practical Mathematical Optimization

Author: Jan Snyman
Publisher: Springer Science & Business Media
ISBN: 0387243496
Size: 17.34 MB
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This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to engineering, physics, chemistry, or business economics.