Engineering Optimization

Download Engineering Optimization PDF Online Free

Author :
Publisher : New Age International
ISBN 13 : 9788122411492
Total Pages : 936 pages
Book Rating : 4.4/5 (114 download)

DOWNLOAD NOW!


Book Synopsis Engineering Optimization by : S. S. Rao

Download or read book Engineering Optimization written by S. S. Rao and published by New Age International. This book was released on 2000 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Rigorous Mathematical Approach To Identifying A Set Of Design Alternatives And Selecting The Best Candidate From Within That Set, Engineering Optimization Was Developed As A Means Of Helping Engineers To Design Systems That Are Both More Efficient And Less Expensive And To Develop New Ways Of Improving The Performance Of Existing Systems.Thanks To The Breathtaking Growth In Computer Technology That Has Occurred Over The Past Decade, Optimization Techniques Can Now Be Used To Find Creative Solutions To Larger, More Complex Problems Than Ever Before. As A Consequence, Optimization Is Now Viewed As An Indispensable Tool Of The Trade For Engineers Working In Many Different Industries, Especially The Aerospace, Automotive, Chemical, Electrical, And Manufacturing Industries.In Engineering Optimization, Professor Singiresu S. Rao Provides An Application-Oriented Presentation Of The Full Array Of Classical And Newly Developed Optimization Techniques Now Being Used By Engineers In A Wide Range Of Industries. Essential Proofs And Explanations Of The Various Techniques Are Given In A Straightforward, User-Friendly Manner, And Each Method Is Copiously Illustrated With Real-World Examples That Demonstrate How To Maximize Desired Benefits While Minimizing Negative Aspects Of Project Design.Comprehensive, Authoritative, Up-To-Date, Engineering Optimization Provides In-Depth Coverage Of Linear And Nonlinear Programming, Dynamic Programming, Integer Programming, And Stochastic Programming Techniques As Well As Several Breakthrough Methods, Including Genetic Algorithms, Simulated Annealing, And Neural Network-Based And Fuzzy Optimization Techniques.Designed To Function Equally Well As Either A Professional Reference Or A Graduate-Level Text, Engineering Optimization Features Many Solved Problems Taken From Several Engineering Fields, As Well As Review Questions, Important Figures, And Helpful References.Engineering Optimization Is A Valuable Working Resource For Engineers Employed In Practically All Technological Industries. It Is Also A Superior Didactic Tool For Graduate Students Of Mechanical, Civil, Electrical, Chemical And Aerospace Engineering.

Modern Optimization Methods for Science, Engineering and Technology

Download Modern Optimization Methods for Science, Engineering and Technology PDF Online Free

Author :
Publisher :
ISBN 13 : 9780750324045
Total Pages : 0 pages
Book Rating : 4.3/5 (24 download)

DOWNLOAD NOW!


Book Synopsis Modern Optimization Methods for Science, Engineering and Technology by : G. R. Sinha

Download or read book Modern Optimization Methods for Science, Engineering and Technology written by G. R. Sinha and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Achieving a better solution or improving the performance of existing system design is an ongoing a process for which scientists, engineers, mathematicians and researchers have been striving for many years. Ever increasingly practical and robust methods have been developed, and every new generation of computers with their increased power and speed allows for the development and wider application of new types of solutions. This book defines the fundamentals, background and theoretical concepts of optimization principles in a comprehensive manner along with their potential applications and implementation strategies. It encompasses linear programming, multivariable methods for risk assessment, nonlinear methods, ant colony optimization, particle swarm optimization, multi-criterion and topology optimization, learning classifier, case studies on six sigma, performance measures and evaluation, multi-objective optimization problems, machine learning approaches, genetic algorithms and quality of service optimizations. The book will be very useful for wide spectrum of target readers including students and researchers in academia and industry.

Modern Optimization with R

Download Modern Optimization with R PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030728196
Total Pages : 264 pages
Book Rating : 4.0/5 (37 download)

DOWNLOAD NOW!


Book Synopsis Modern Optimization with R by : Paulo Cortez

Download or read book Modern Optimization with R written by Paulo Cortez and published by Springer Nature. This book was released on 2021-07-30 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to gather in a single work the most relevant concepts related in optimization methods, showing how such theories and methods can be addressed using the open source, multi-platform R tool. Modern optimization methods, also known as metaheuristics, are particularly useful for solving complex problems for which no specialized optimization algorithm has been developed. These methods often yield high quality solutions with a more reasonable use of computational resources (e.g. memory and processing effort). Examples of popular modern methods discussed in this book are: simulated annealing; tabu search; genetic algorithms; differential evolution; and particle swarm optimization. This book is suitable for undergraduate and graduate students in computer science, information technology, and related areas, as well as data analysts interested in exploring modern optimization methods using R. This new edition integrates the latest R packages through text and code examples. It also discusses new topics, such as: the impact of artificial intelligence and business analytics in modern optimization tasks; the creation of interactive Web applications; usage of parallel computing; and more modern optimization algorithms (e.g., iterated racing, ant colony optimization, grammatical evolution).

Modern Optimization Techniques with Applications in Electric Power Systems

Download Modern Optimization Techniques with Applications in Electric Power Systems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 146141752X
Total Pages : 430 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!


Book Synopsis Modern Optimization Techniques with Applications in Electric Power Systems by : Soliman Abdel-Hady Soliman

Download or read book Modern Optimization Techniques with Applications in Electric Power Systems written by Soliman Abdel-Hady Soliman and published by Springer Science & Business Media. This book was released on 2011-12-15 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the application of some AI related optimization techniques in the operation and control of electric power systems. With practical applications and examples the use of functional analysis, simulated annealing, Tabu-search, Genetic algorithms and fuzzy systems for the optimization of power systems is discussed in detail. Preliminary mathematical concepts are presented before moving to more advanced material. Researchers and graduate students will benefit from this book. Engineers working in utility companies, operations and control, and resource management will also find this book useful. ​

Classical And Modern Optimization

Download Classical And Modern Optimization PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 180061067X
Total Pages : 388 pages
Book Rating : 4.8/5 (6 download)

DOWNLOAD NOW!


Book Synopsis Classical And Modern Optimization by : Guillaume Carlier

Download or read book Classical And Modern Optimization written by Guillaume Carlier and published by World Scientific. This book was released on 2022-03-16 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quest for the optimal is ubiquitous in nature and human behavior. The field of mathematical optimization has a long history and remains active today, particularly in the development of machine learning.Classical and Modern Optimization presents a self-contained overview of classical and modern ideas and methods in approaching optimization problems. The approach is rich and flexible enough to address smooth and non-smooth, convex and non-convex, finite or infinite-dimensional, static or dynamic situations. The first chapters of the book are devoted to the classical toolbox: topology and functional analysis, differential calculus, convex analysis and necessary conditions for differentiable constrained optimization. The remaining chapters are dedicated to more specialized topics and applications.Valuable to a wide audience, including students in mathematics, engineers, data scientists or economists, Classical and Modern Optimization contains more than 200 exercises to assist with self-study or for anyone teaching a third- or fourth-year optimization class.

Modern Methods of Optimization

Download Modern Methods of Optimization PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3662028514
Total Pages : 358 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!


Book Synopsis Modern Methods of Optimization by : Werner Krabs

Download or read book Modern Methods of Optimization written by Werner Krabs and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the summer school "Modern Methods of Optimization", held at the Schlof3 Thurnau of the University of Bayreuth, October 1-6, 1990. Like other branches of applied mathematics the area of optimization is undergoing a rapid development since the beginning of the computer age. Optimizaiton methods are of increasing importance for both, science and industry. The aim of the summer school was to present state-of-the-art knowledge by inviting 12 specialists from Op timization (and related fields) to present their areas of activity in the form of survey talks. This volume contains 10 of these presentations in slightly extended form. Most lectures started from an undergraduate level and outlinad the developments up to the latest scientifique achievements. This enabled the audience, consisting of about 45 students and young researchers, to get an excellent overview of the latest trends in Optimization as w~ll as a grasp of the breadth of its potential applications. Equally important to the success of the summer school was the "nonmeasurable" part of the activities inherent in such a summer school. Here the inspiring atmosphere of a place like Thurnau helped to establish numerous contacts between "teachers" and "students". The summer school was organized by the Universitii. t Bayreuth together with the Technische Hochschule Darmstadt and was generously sponsored by the Volkswagen stiftung and the Universitii. tsverein Bayreuth. Their interest in the meeting and their support is hereby gratefully acknowledged.

New Optimization Techniques in Engineering

Download New Optimization Techniques in Engineering PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3540399305
Total Pages : 716 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!


Book Synopsis New Optimization Techniques in Engineering by : Godfrey C. Onwubolu

Download or read book New Optimization Techniques in Engineering written by Godfrey C. Onwubolu and published by Springer. This book was released on 2013-03-14 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presently, general-purpose optimization techniques such as Simulated Annealing, and Genetic Algorithms, have become standard optimization techniques. Concerted research efforts have been made recently in order to invent novel optimization techniques for solving real life problems, which have the attributes of memory update and population-based search solutions. The book describes a variety of these novel optimization techniques which in most cases outperform the standard optimization techniques in many application areas. New Optimization Techniques in Engineering reports applications and results of the novel optimization techniques considering a multitude of practical problems in the different engineering disciplines – presenting both the background of the subject area and the techniques for solving the problems.

Modern Heuristic Optimization Techniques

Download Modern Heuristic Optimization Techniques PDF Online Free

Author :
Publisher : John Wiley & Sons
ISBN 13 : 0470225858
Total Pages : 616 pages
Book Rating : 4.4/5 (72 download)

DOWNLOAD NOW!


Book Synopsis Modern Heuristic Optimization Techniques by : Kwang Y. Lee

Download or read book Modern Heuristic Optimization Techniques written by Kwang Y. Lee and published by John Wiley & Sons. This book was released on 2008-01-28 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores how developing solutions with heuristic tools offers two major advantages: shortened development time and more robust systems. It begins with an overview of modern heuristic techniques and goes on to cover specific applications of heuristic approaches to power system problems, such as security assessment, optimal power flow, power system scheduling and operational planning, power generation expansion planning, reactive power planning, transmission and distribution planning, network reconfiguration, power system control, and hybrid systems of heuristic methods.

Handbook of Research on Modern Optimization Algorithms and Applications in Engineering and Economics

Download Handbook of Research on Modern Optimization Algorithms and Applications in Engineering and Economics PDF Online Free

Author :
Publisher : IGI Global
ISBN 13 : 1466696451
Total Pages : 999 pages
Book Rating : 4.4/5 (666 download)

DOWNLOAD NOW!


Book Synopsis Handbook of Research on Modern Optimization Algorithms and Applications in Engineering and Economics by : Vasant, Pandian

Download or read book Handbook of Research on Modern Optimization Algorithms and Applications in Engineering and Economics written by Vasant, Pandian and published by IGI Global. This book was released on 2016-03-08 with total page 999 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern optimization approaches have attracted many research scientists, decision makers and practicing researchers in recent years as powerful intelligent computational techniques for solving several complex real-world problems. The Handbook of Research on Modern Optimization Algorithms and Applications in Engineering and Economics highlights the latest research innovations and applications of algorithms designed for optimization applications within the fields of engineering, IT, and economics. Focusing on a variety of methods and systems as well as practical examples, this book is a significant resource for graduate-level students, decision makers, and researchers in both public and private sectors who are seeking research-based methods for modeling uncertain real-world problems. .

Modern Portfolio Optimization with NuOPTTM, S-PLUS®, and S+BayesTM

Download Modern Portfolio Optimization with NuOPTTM, S-PLUS®, and S+BayesTM PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 038727586X
Total Pages : 422 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!


Book Synopsis Modern Portfolio Optimization with NuOPTTM, S-PLUS®, and S+BayesTM by : Bernd Scherer

Download or read book Modern Portfolio Optimization with NuOPTTM, S-PLUS®, and S+BayesTM written by Bernd Scherer and published by Springer Science & Business Media. This book was released on 2007-09-05 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years portfolio optimization and construction methodologies have become an increasingly critical ingredient of asset and fund management, while at the same time portfolio risk assessment has become an essential ingredient in risk management. This trend will only accelerate in the coming years. This practical handbook fills the gap between current university instruction and current industry practice. It provides a comprehensive computationally-oriented treatment of modern portfolio optimization and construction methods using the powerful NUOPT for S-PLUS optimizer.

Practical Optimization

Download Practical Optimization PDF Online Free

Author :
Publisher : SIAM
ISBN 13 : 1611975603
Total Pages : 421 pages
Book Rating : 4.6/5 (119 download)

DOWNLOAD NOW!


Book Synopsis Practical Optimization by : Philip E. Gill

Download or read book Practical Optimization written by Philip E. Gill and published by SIAM. This book was released on 2019-12-16 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the intervening years since this book was published in 1981, the field of optimization has been exceptionally lively. This fertility has involved not only progress in theory, but also faster numerical algorithms and extensions into unexpected or previously unknown areas such as semidefinite programming. Despite these changes, many of the important principles and much of the intuition can be found in this Classics version of Practical Optimization. This book provides model algorithms and pseudocode, useful tools for users who prefer to write their own code as well as for those who want to understand externally provided code. It presents algorithms in a step-by-step format, revealing the overall structure of the underlying procedures and thereby allowing a high-level perspective on the fundamental differences. And it contains a wealth of techniques and strategies that are well suited for optimization in the twenty-first century, and particularly in the now-flourishing fields of data science, “big data,” and machine learning. Practical Optimization is appropriate for advanced undergraduates, graduate students, and researchers interested in methods for solving optimization problems.

Optimization Techniques and Applications with Examples

Download Optimization Techniques and Applications with Examples PDF Online Free

Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119490545
Total Pages : 384 pages
Book Rating : 4.1/5 (194 download)

DOWNLOAD NOW!


Book Synopsis Optimization Techniques and Applications with Examples by : Xin-She Yang

Download or read book Optimization Techniques and Applications with Examples written by Xin-She Yang and published by John Wiley & Sons. This book was released on 2018-09-19 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to modern optimization applications and techniques in newly emerging areas spanning optimization, data science, machine intelligence, engineering, and computer sciences Optimization Techniques and Applications with Examples introduces the fundamentals of all the commonly used techniques in optimization that encompass the broadness and diversity of the methods (traditional and new) and algorithms. The author—a noted expert in the field—covers a wide range of topics including mathematical foundations, optimization formulation, optimality conditions, algorithmic complexity, linear programming, convex optimization, and integer programming. In addition, the book discusses artificial neural network, clustering and classifications, constraint-handling, queueing theory, support vector machine and multi-objective optimization, evolutionary computation, nature-inspired algorithms and many other topics. Designed as a practical resource, all topics are explained in detail with step-by-step examples to show how each method works. The book’s exercises test the acquired knowledge that can be potentially applied to real problem solving. By taking an informal approach to the subject, the author helps readers to rapidly acquire the basic knowledge in optimization, operational research, and applied data mining. This important resource: Offers an accessible and state-of-the-art introduction to the main optimization techniques Contains both traditional optimization techniques and the most current algorithms and swarm intelligence-based techniques Presents a balance of theory, algorithms, and implementation Includes more than 100 worked examples with step-by-step explanations Written for upper undergraduates and graduates in a standard course on optimization, operations research and data mining, Optimization Techniques and Applications with Examples is a highly accessible guide to understanding the fundamentals of all the commonly used techniques in optimization.

Engineering Optimization

Download Engineering Optimization PDF Online Free

Author :
Publisher : John Wiley & Sons
ISBN 13 : 0470640413
Total Pages : 377 pages
Book Rating : 4.4/5 (76 download)

DOWNLOAD NOW!


Book Synopsis Engineering Optimization by : Xin-She Yang

Download or read book Engineering Optimization written by Xin-She Yang and published by John Wiley & Sons. This book was released on 2010-07-20 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to metaheuristics and optimization, featuring powerful and modern algorithms for application across engineering and the sciences From engineering and computer science to economics and management science, optimization is a core component for problem solving. Highlighting the latest developments that have evolved in recent years, Engineering Optimization: An Introduction with Metaheuristic Applications outlines popular metaheuristic algorithms and equips readers with the skills needed to apply these techniques to their own optimization problems. With insightful examples from various fields of study, the author highlights key concepts and techniques for the successful application of commonly-used metaheuristc algorithms, including simulated annealing, particle swarm optimization, harmony search, and genetic algorithms. The author introduces all major metaheuristic algorithms and their applications in optimization through a presentation that is organized into three succinct parts: Foundations of Optimization and Algorithms provides a brief introduction to the underlying nature of optimization and the common approaches to optimization problems, random number generation, the Monte Carlo method, and the Markov chain Monte Carlo method Metaheuristic Algorithms presents common metaheuristic algorithms in detail, including genetic algorithms, simulated annealing, ant algorithms, bee algorithms, particle swarm optimization, firefly algorithms, and harmony search Applications outlines a wide range of applications that use metaheuristic algorithms to solve challenging optimization problems with detailed implementation while also introducing various modifications used for multi-objective optimization Throughout the book, the author presents worked-out examples and real-world applications that illustrate the modern relevance of the topic. A detailed appendix features important and popular algorithms using MATLAB® and Octave software packages, and a related FTP site houses MATLAB code and programs for easy implementation of the discussed techniques. In addition, references to the current literature enable readers to investigate individual algorithms and methods in greater detail. Engineering Optimization: An Introduction with Metaheuristic Applications is an excellent book for courses on optimization and computer simulation at the upper-undergraduate and graduate levels. It is also a valuable reference for researchers and practitioners working in the fields of mathematics, engineering, computer science, operations research, and management science who use metaheuristic algorithms to solve problems in their everyday work.

Applications of Modern Heuristic Optimization Methods in Power and Energy Systems

Download Applications of Modern Heuristic Optimization Methods in Power and Energy Systems PDF Online Free

Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119602297
Total Pages : 896 pages
Book Rating : 4.1/5 (196 download)

DOWNLOAD NOW!


Book Synopsis Applications of Modern Heuristic Optimization Methods in Power and Energy Systems by : Kwang Y. Lee

Download or read book Applications of Modern Heuristic Optimization Methods in Power and Energy Systems written by Kwang Y. Lee and published by John Wiley & Sons. This book was released on 2020-04-14 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviews state-of-the-art technologies in modern heuristic optimization techniques and presents case studies showing how they have been applied in complex power and energy systems problems Written by a team of international experts, this book describes the use of metaheuristic applications in the analysis and design of electric power systems. This includes a discussion of optimum energy and commitment of generation (nonrenewable & renewable) and load resources during day-to-day operations and control activities in regulated and competitive market structures, along with transmission and distribution systems. Applications of Modern Heuristic Optimization Methods in Power and Energy Systems begins with an introduction and overview of applications in power and energy systems before moving on to planning and operation, control, and distribution. Further chapters cover the integration of renewable energy and the smart grid and electricity markets. The book finishes with final conclusions drawn by the editors. Applications of Modern Heuristic Optimization Methods in Power and Energy Systems: Explains the application of differential evolution in electric power systems' active power multi-objective optimal dispatch Includes studies of optimization and stability in load frequency control in modern power systems Describes optimal compliance of reactive power requirements in near-shore wind power plants Features contributions from noted experts in the field Ideal for power and energy systems designers, planners, operators, and consultants, Applications of Modern Heuristic Optimization Methods in Power and Energy Systems will also benefit engineers, software developers, researchers, academics, and students.

Numerical Methods and Optimization in Finance

Download Numerical Methods and Optimization in Finance PDF Online Free

Author :
Publisher : Academic Press
ISBN 13 : 0128150653
Total Pages : 638 pages
Book Rating : 4.1/5 (281 download)

DOWNLOAD NOW!


Book Synopsis Numerical Methods and Optimization in Finance by : Manfred Gilli

Download or read book Numerical Methods and Optimization in Finance written by Manfred Gilli and published by Academic Press. This book was released on 2019-08-30 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computationally-intensive tools play an increasingly important role in financial decisions. Many financial problems-ranging from asset allocation to risk management and from option pricing to model calibration-can be efficiently handled using modern computational techniques. Numerical Methods and Optimization in Finance presents such computational techniques, with an emphasis on simulation and optimization, particularly so-called heuristics. This book treats quantitative analysis as an essentially computational discipline in which applications are put into software form and tested empirically. This revised edition includes two new chapters, a self-contained tutorial on implementing and using heuristics, and an explanation of software used for testing portfolio-selection models. Postgraduate students, researchers in programs on quantitative and computational finance, and practitioners in banks and other financial companies can benefit from this second edition of Numerical Methods and Optimization in Finance. Introduces numerical methods to readers with economics backgrounds Emphasizes core simulation and optimization problems Includes MATLAB and R code for all applications, with sample code in the text and freely available for download

Optimization Methods in Finance

Download Optimization Methods in Finance PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521861700
Total Pages : 358 pages
Book Rating : 4.8/5 (617 download)

DOWNLOAD NOW!


Book Synopsis Optimization Methods in Finance by : Gerard Cornuejols

Download or read book Optimization Methods in Finance written by Gerard Cornuejols and published by Cambridge University Press. This book was released on 2006-12-21 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization models play an increasingly important role in financial decisions. This is the first textbook devoted to explaining how recent advances in optimization models, methods and software can be applied to solve problems in computational finance more efficiently and accurately. Chapters discussing the theory and efficient solution methods for all major classes of optimization problems alternate with chapters illustrating their use in modeling problems of mathematical finance. The reader is guided through topics such as volatility estimation, portfolio optimization problems and constructing an index fund, using techniques such as nonlinear optimization models, quadratic programming formulations and integer programming models respectively. The book is based on Master's courses in financial engineering and comes with worked examples, exercises and case studies. It will be welcomed by applied mathematicians, operational researchers and others who work in mathematical and computational finance and who are seeking a text for self-learning or for use with courses.

Introduction to Optimization Methods

Download Introduction to Optimization Methods PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 940095705X
Total Pages : 214 pages
Book Rating : 4.4/5 (9 download)

DOWNLOAD NOW!


Book Synopsis Introduction to Optimization Methods by : P. Adby

Download or read book Introduction to Optimization Methods written by P. Adby and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decade the techniques of non-linear optim ization have emerged as an important subject for study and research. The increasingly widespread application of optim ization has been stimulated by the availability of digital computers, and the necessity of using them in the investigation of large systems. This book is an introduction to non-linear methods of optimization and is suitable for undergraduate and post graduate courses in mathematics, the physical and social sciences, and engineering. The first half of the book covers the basic optimization techniques including linear search methods, steepest descent, least squares, and the Newton-Raphson method. These are described in detail, with worked numerical examples, since they form the basis from which advanced methods are derived. Since 1965 advanced methods of unconstrained and constrained optimization have been developed to utilise the computational power of the digital computer. The second half of the book describes fully important algorithms in current use such as variable metric methods for unconstrained problems and penalty function methods for constrained problems. Recent work, much of which has not yet been widely applied, is reviewed and compared with currently popular techniques under a few generic main headings. vi PREFACE Chapter I describes the optimization problem in mathemat ical form and defines the terminology used in the remainder of the book. Chapter 2 is concerned with single variable optimization. The main algorithms of both search and approximation methods are developed in detail since they are an essential part of many multi-variable methods.