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Chaos: Making a New Science

Making a New Science

by James Gleick ...

The blockbuster modern science classic that introduced the butterfly effect to the world—even more relevant two decades after it became an international sensationFor centuries, scientific thought was focused on bringing order to the natural world. But even as relativity and quantum mechanics undermined that rigid certainty in the first half of the twentieth century, the scientific community clung ... Read more

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The blockbuster modern science classic that introduced the butterfly effect to the world—even more relevant two decades after it became an international sensationFor centuries, scientific thought was focused on bringing order to the natural world. But even as relativity and quantum mechanics undermined that rigid certainty in the first half of the twentieth century, the scientific community clung
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Introduction To The Theory Of Wave Maps And Related Geometric Problems, An

by Manoussos G Grillakis, Dan-andrei Geba ...

The wave maps system is one of the most beautiful and challenging nonlinear hyperbolic systems, which has captured the attention of mathematicians for more than thirty years now. In the study of its various issues, such as the well-posedness theory, the formation of singularities, and the stability of the solitons, in order to obtain optimal results, one has to use intricate tools coming not only ... Read more

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The wave maps system is one of the most beautiful and challenging nonlinear hyperbolic systems, which has captured the attention of mathematicians for more than thirty years now. In the study of its various issues, such as the well-posedness theory, the formation of singularities, and the stability of the solitons, in order to obtain optimal results, one has to use intricate tools coming not only
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Linear Programming: An Introduction to Finite Improvement Algorithms

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by Prof. Daniel Solow ...

Series series Dover Books on Mathematics
Suitable for undergraduate students of mathematics and graduate students of operations research and engineering, this text covers the basic theory and computation for a first course in linear programming. In addition to substantial material on mathematical proof techniques and sophisticated computation methods, the treatment features numerous examples and exercises.An introductory chapter offers a ... Read more

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Innovation Decision-Making Under Uncertain Environment

Edited by Jiuping Xu, Benjamin Lev, Zongmin Li ...

This book presents a cohesive collection of cutting-edge research focused on advanced decision-support methodologies for complex and ambiguous operational contexts. This volume systematically assembles ten pivotal studies employing uncertain decision-making, multi-criteria decision analysis (MCDA), and tailored optimization models to address substantive challenges in supply chain management, ... Read more

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This book presents a cohesive collection of cutting-edge research focused on advanced decision-support methodologies for complex and ambiguous operational contexts. This volume systematically assembles ten pivotal studies employing uncertain decision-making, multi-criteria decision analysis (MCDA), and tailored optimization models to address substantive challenges in supply chain management,
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Exploring Operations Research with R

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Series series Chapman & Hall/CRC Series in Operations Research
Exploring Operations Research with R shows how the R programming language can be a valuable tool – and way of thinking – which can be successfully applied to the field of operations research (OR). This approach is centred on the idea of the future OR professional as someone who can combine knowledge of key OR techniques (e.g., simulation, linear programming, data science, and network science) with ... Read more

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Exploring Operations Research with R shows how the R programming language can be a valuable tool – and way of thinking – which can be successfully applied to the field of operations research (OR). This approach is centred on the idea of the future OR professional as someone who can combine knowledge of key OR techniques (e.g., simulation, linear programming, data science, and network science) with
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Linear Transformation

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by Nita H. Shah, Urmila B. Chaudhari ...

Series series Mathematical Engineering, Manufacturing, and Management Sciences
This book introduces linear transformation and its key results, which have applications in engineering, physics, and various branches of mathematics. Linear transformation is a difficult subject for students.This concise text provides an in-depth overview of linear trans-formation. It provides multiple-choice questions, covers enough examples for the reader to gain a clear understanding, and ... Read more

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This book introduces linear transformation and its key results, which have applications in engineering, physics, and various branches of mathematics. Linear transformation is a difficult subject for students.This concise text provides an in-depth overview of linear trans-formation. It provides multiple-choice questions, covers enough examples for the reader to gain a clear understanding, and
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Applications of Advanced Optimization Techniques in Industrial Engineering

Edited by Abhinav Goel, Anand Chauhan, A. K. Malik ...

Series series Information Technology, Management and Operations Research Practices
This book provides different approaches used to analyze, draw attention, and provide an understanding of the advancements in the optimization field across the globe. It brings all of the latest methodologies, tools, and techniques related to optimization and industrial engineering into a single volume to build insights towards the latest advancements in various domains.Applications of Advanced ... Read more

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Non-Linear Programming

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by Nita H. Shah, Poonam Prakash Mishra ...

Series series Mathematical Engineering, Manufacturing, and Management Sciences
This book is for beginners who are struggling to understand and optimize non-linear problems. The content will help readers gain an understanding and learn how to formulate real-world problems and will also give insight to many researchers for their future prospects.It proposes a mind map for conceptual understanding and includes sufficient solved examples for reader comprehension. The theory is ... Read more

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This book is for beginners who are struggling to understand and optimize non-linear problems. The content will help readers gain an understanding and learn how to formulate real-world problems and will also give insight to many researchers for their future prospects.It proposes a mind map for conceptual understanding and includes sufficient solved examples for reader comprehension. The theory is
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Conical Approach to Linear Programming

by P D'Alessandro ...

The conical approach provides a geometrical understanding of optimization and is a powerful research tool and useful problem-solving technique (for example, in decision support and real time control applications). Conical optimality conditions are first stated in a very general optimization framework, and then applied to linear programming. A complete theory along with primal and dual algorithms ... Read more

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The conical approach provides a geometrical understanding of optimization and is a powerful research tool and useful problem-solving technique (for example, in decision support and real time control applications). Conical optimality conditions are first stated in a very general optimization framework, and then applied to linear programming. A complete theory along with primal and dual algorithms
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by Joshua M. Epstein ...

Series series Princeton Studies in Complexity
The Final Volume of the Groundbreaking Trilogy on Agent-Based ModelingIn this pioneering synthesis, Joshua Epstein introduces a new theoretical entity: Agent_Zero. This software individual, or "agent," is endowed with distinct emotional/affective, cognitive/deliberative, and social modules. Grounded in contemporary neuroscience, these internal components interact to generate observed, often far ... Read more

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The Final Volume of the Groundbreaking Trilogy on Agent-Based ModelingIn this pioneering synthesis, Joshua Epstein introduces a new theoretical entity: Agent_Zero. This software individual, or "agent," is endowed with distinct emotional/affective, cognitive/deliberative, and social modules. Grounded in contemporary neuroscience, these internal components interact to generate observed, often far
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Nonlinear Continuum Mechanics for Finite Element Analysis

by Javier Bonet, Richard D. Wood ...

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Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques.
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Specification Analysis in the Linear Model

Edited by Maxwell L. King, David E. A. Giles ...

Series series Routledge Library Editions: Econometrics
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Originally published in 1987. This collection of original papers deals with various issues of specification in the context of the linear statistical model. The volume honours the early econometric work of Donald Cochrane, late Dean of Economics and Politics at Monash University in Australia. The chapters focus on problems associated with autocorrelation of the error term in the linear regression
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Introduction to the Mathematical Physics of Nonlinear Waves (Second Edition)

by Minoru Fujimoto ...

Series series IOP ebooks
Written for students at upper-undergraduate and graduate levels, it is suitable for advanced physics courses on nonlinear physics. The book covers the fundamental properties of nonlinear waves, dealing with both theory and experiment. The aim is to emphasize established tools and introduce new methods underpinning important new developments in this field, especially as applied to solid-state ... Read more

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Written for students at upper-undergraduate and graduate levels, it is suitable for advanced physics courses on nonlinear physics. The book covers the fundamental properties of nonlinear waves, dealing with both theory and experiment. The aim is to emphasize established tools and introduce new methods underpinning important new developments in this field, especially as applied to solid-state
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What are the risks of terrorism and what are their consequences and economic impacts? Are we safer from terrorism today than before 9/11? Does the government spend our homeland security funds well? These questions motivated a twelve-year research program of the National Center for Risk and Economic Analysis of Terrorism Events (CREATE) at the University of Southern California, funded by the ... Read more

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What are the risks of terrorism and what are their consequences and economic impacts? Are we safer from terrorism today than before 9/11? Does the government spend our homeland security funds well? These questions motivated a twelve-year research program of the National Center for Risk and Economic Analysis of Terrorism Events (CREATE) at the University of Southern California, funded by the
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Local Activity Principle: The Cause Of Complexity And Symmetry Breaking

by Klaus Mainzer, Leon O Chua ...

The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circuits in a mathematically rigorous way, it can be generalized and proven at least for the class of nonlinear reaction-diffusion systems in physics, chemistry, biology, and brain research. Recently, it was realized by memristors for ... Read more

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The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circuits in a mathematically rigorous way, it can be generalized and proven at least for the class of nonlinear reaction-diffusion systems in physics, chemistry, biology, and brain research. Recently, it was realized by memristors for
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Advances on Mathematical Modeling and Optimization with Its Applications

Edited by Gunjan Mukherjee, Biswadip Basu Mallik, Rahul Kar, Aryan Chaudhary ...

Series series Emerging Technologies
Advances on Mathematical Modeling and Optimization with Its Applications discusses optimization, equality, and inequality constraints and their application in the versatile optimizing domain. It further covers non-linear optimization methods such as global optimization, and gradient-based non-linear optimization, and their applications.Discusses important topics including multi-component ... Read more

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Advances on Mathematical Modeling and Optimization with Its Applications discusses optimization, equality, and inequality constraints and their application in the versatile optimizing domain. It further covers non-linear optimization methods such as global optimization, and gradient-based non-linear optimization, and their applications.Discusses important topics including multi-component
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Generalized Linear and Nonlinear Models for Correlated Data

Theory and Applications Using SAS

by Edward F. Vonesh ...

Edward Vonesh's Generalized Linear and Nonlinear Models for Correlated Data: Theory and Applications Using SAS is devoted to the analysis of correlated response data using SAS, with special emphasis on applications that require the use of generalized linear models or generalized nonlinear models. Written in a clear, easy-to-understand manner, it provides applied statisticians with the necessary ... Read more

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Edward Vonesh's Generalized Linear and Nonlinear Models for Correlated Data: Theory and Applications Using SAS is devoted to the analysis of correlated response data using SAS, with special emphasis on applications that require the use of generalized linear models or generalized nonlinear models. Written in a clear, easy-to-understand manner, it provides applied statisticians with the necessary
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Otimização linear

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by Margarida Carvalho ...

Este e-book, apresentado em formato de notas de aula, reúne conteúdos introdutórios de Programação Linear e Dualidade. O objetivo é proporcionar ao estudante uma abordagem clara, visual e estruturada dos conceitos fundamentais, incluindo a interpretação geométrica do conjunto das soluções admissíveis, a caracterização de pontos extremos, a resolução gráfica e a formulação e análise do problema ... Read more

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Este e-book, apresentado em formato de notas de aula, reúne conteúdos introdutórios de Programação Linear e Dualidade. O objetivo é proporcionar ao estudante uma abordagem clara, visual e estruturada dos conceitos fundamentais, incluindo a interpretação geométrica do conjunto das soluções admissíveis, a caracterização de pontos extremos, a resolução gráfica e a formulação e análise do problema
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Phase Space Structures in Reaction Dynamics

A Dynamical Systems Approach

by Stephen Wiggins, Víctor J García-Garrido, Matthaios Katsanikas ...

Chemical reaction dynamics is crucial for the study of chemical processes and the mechanisms which govern them. Most frameworks, however, remain static when representing the landscape of chemical reactions, falling short of capturing fully the evolution over time of the reaction profile.This book presents an application of fundamental mathematical theories — dynamical systems theory and phase ... Read more

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Chemical reaction dynamics is crucial for the study of chemical processes and the mechanisms which govern them. Most frameworks, however, remain static when representing the landscape of chemical reactions, falling short of capturing fully the evolution over time of the reaction profile.This book presents an application of fundamental mathematical theories — dynamical systems theory and phase
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Synchronization

From Coupled Systems to Complex Networks

by Stefano Boccaletti, Alexander N. Pisarchik, Charo I. del Genio, Andreas Amann ...

A modern introduction to synchronization phenomena, this text presents recent discoveries and the current state of research in the field, from low-dimensional systems to complex networks. The book describes some of the main mechanisms of collective behaviour in dynamical systems, including simple coupled systems, chaotic systems, and systems of infinite-dimension. After introducing the reader to ... Read more

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A modern introduction to synchronization phenomena, this text presents recent discoveries and the current state of research in the field, from low-dimensional systems to complex networks. The book describes some of the main mechanisms of collective behaviour in dynamical systems, including simple coupled systems, chaotic systems, and systems of infinite-dimension. After introducing the reader to
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Kam Story, The: A Friendly Introduction To The Content, History, And Significance Of Classical Kolmogorov-arnold-moser Theory

by H Scott Dumas ...

This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and scientific-minded readers. Parts of the book should also appeal to less mathematically trained readers with an interest in the history or philosophy of science.The scope of the book is broad ... Read more

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This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and scientific-minded readers. Parts of the book should also appeal to less mathematically trained readers with an interest in the history or philosophy of science.The scope of the book is broad
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Invitation to Linear Programming and Game Theory

by David C. Vella ...

Written in a conversational tone, this classroom-tested text introduces the fundamentals of linear programming and game theory, showing readers how to apply serious mathematics to practical real-life questions by modelling linear optimization problems and strategic games. The treatment of linear programming includes two distinct graphical methods. The game theory chapters include a novel proof of ... Read more

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Written in a conversational tone, this classroom-tested text introduces the fundamentals of linear programming and game theory, showing readers how to apply serious mathematics to practical real-life questions by modelling linear optimization problems and strategic games. The treatment of linear programming includes two distinct graphical methods. The game theory chapters include a novel proof of
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Fundamentals of Aerospace Navigation and Guidance

by Pierre T. Kabamba, Anouck R. Girard ...

Series Book 40 - Cambridge Aerospace Series
This text covers fundamentals used in the navigation and guidance of modern aerospace vehicles, in both atmospheric and space flight. It can be used as a textbook supporting a graduate level course on aerospace navigation and guidance, a guide for self-study, or a resource for practicing engineers and researchers. It begins with an introduction that discusses why navigation and guidance ought to ... Read more

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This text covers fundamentals used in the navigation and guidance of modern aerospace vehicles, in both atmospheric and space flight. It can be used as a textbook supporting a graduate level course on aerospace navigation and guidance, a guide for self-study, or a resource for practicing engineers and researchers. It begins with an introduction that discusses why navigation and guidance ought to
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Variational Methods with Applications in Science and Engineering

by Kevin W. Cassel ...

There is a resurgence of applications in which the calculus of variations has direct relevance. In addition to application to solid mechanics and dynamics, it is now being applied in a variety of numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. Many applications, such as nonlinear optimal control theory applied to continuous systems, ... Read more

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There is a resurgence of applications in which the calculus of variations has direct relevance. In addition to application to solid mechanics and dynamics, it is now being applied in a variety of numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. Many applications, such as nonlinear optimal control theory applied to continuous systems,
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Recommended For You

Linear Programming eBooks

Chaos: Making a New Science

Introduction To The Theory Of Wave Maps And Related Geometric Problems, An

Linear Programming: An Introduction to Finite Improvement Algorithms

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Exploring Operations Research with R

Linear Transformation

Applications of Advanced Optimization Techniques in Industrial Engineering

Non-Linear Programming

Conical Approach to Linear Programming

Agent_Zero

Nonlinear Continuum Mechanics for Finite Element Analysis

Specification Analysis in the Linear Model

Introduction to the Mathematical Physics of Nonlinear Waves (Second Edition)

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Local Activity Principle: The Cause Of Complexity And Symmetry Breaking

Advances on Mathematical Modeling and Optimization with Its Applications

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Phase Space Structures in Reaction Dynamics

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Variational Methods with Applications in Science and Engineering