Fundamental concepts of mathematical modeling

Modeling is one of the most effective, commonly used tools in engineering and the applied sciences. In this book, the authors deal with mathematical programming models both linear and nonlinear and across a wide range of practical applications.

Whereas other books concentrate on standard methods of analysis, the authors focus on the power of modeling methods for solving practical problems–clearly showing the connection between physical and mathematical realities–while also describing and exploring the main concepts and tools at work. This highly computational coverage includes:

• Discussion and implementation of the GAMS programming system
• Unique coverage of compatibility
• Illustrative examples that showcase the connection between model and reality
• Practical problems covering a wide range of scientific disciplines, as well as hundreds of examples and end-of-chapter exercises
• Real-world applications to probability and statistics, electrical engineering, transportation systems, and more

Building and Solving Mathematical Programming Models in Engineering and Science is practically suited for use as a professional reference for mathematicians, engineers, and applied or industrial scientists, while also tutorial and illustrative enough for advanced students in mathematics or engineering.

A unique, applied approach to problem solving in linear algebra
Departing from the standard methods of analysis, this unique book presents methodologies and algorithms based on the concept of orthogonality and demonstrates their application to both standard and novel problems in linear algebra. Covering basic theory of linear systems, linear inequalities, and linear programming, it focuses on elegant, computationally simple solutions to real-world physical, economic, and engineering problems. The authors clearly explain the reasons behind the analysis of different structures and concepts and use numerous illustrative examples to correlate the mathematical models to the reality they represent. Readers are given precise guidelines for:
* Checking the equivalence of two systems
* Solving a system in certain selected variables
* Modifying systems of equations
* Solving linear systems of inequalities
* Using the new exterior point method
* Modifying a linear programming problem
With few prerequisites, but with plenty of figures and tables, end-of-chapter exercises as well as Java and Mathematica programs available from the authors' Web site, this is an invaluable text/reference for mathematicians, engineers, applied scientists, and graduate students in mathematics.

To help solve physical and engineering problems, mimetic or compatible algebraic discretization methods employ discrete constructs to mimic the continuous identities and theorems found in vector calculus. Mimetic Discretization Methods focuses on the recent mimetic discretization method co-developed by the first author. Based on the Castillo-Grone operators, this simple mimetic discretization method is invariably valid for spatial dimensions no greater than three. The book also presents a numerical method for obtaining corresponding discrete operators that mimic the continuum differential and flux-integral operators, enabling the same order of accuracy in the interior as well as the domain boundary. After an overview of various mimetic approaches and applications, the text discusses the use of continuum mathematical models as a way to motivate the natural use of mimetic methods. The authors also offer basic numerical analysis material, making the book suitable for a course on numerical methods for solving PDEs. The authors cover mimetic differential operators in one, two, and three dimensions and provide a thorough introduction to object-oriented programming and C++. In addition, they describe how their mimetic methods toolkit (MTK)-available online-can be used for the computational implementation of mimetic discretization methods. The text concludes with the application of mimetic methods to structured nonuniform meshes as well as several case studies. Compiling the authors' many concepts and results developed over the years, this book shows how to obtain a robust numerical solution of PDEs using the mimetic discretization approach. It also helps readers compare alternative methods in the literature.

To help solve physical and engineering problems, mimetic or compatible algebraic discretization methods employ discrete constructs to mimic the continuous identities and theorems found in vector calculus. Mimetic Discretization Methods focuses on the recent mimetic discretization method co-developed by the first author. Based on the Castillo-Grone operators, this simple mimetic discretization method is invariably valid for spatial dimensions no greater than three. The book also presents a numerical method for obtaining corresponding discrete operators that mimic the continuum differential and flux-integral operators, enabling the same order of accuracy in the interior as well as the domain boundary. After an overview of various mimetic approaches and applications, the text discusses the use of continuum mathematical models as a way to motivate the natural use of mimetic methods. The authors also offer basic numerical analysis material, making the book suitable for a course on numerical methods for solving PDEs. The authors cover mimetic differential operators in one, two, and three dimensions and provide a thorough introduction to object-oriented programming and C++. In addition, they describe how their mimetic methods toolkit (MTK)-available online-can be used for the computational implementation of mimetic discretization methods. The text concludes with the application of mimetic methods to structured nonuniform meshes as well as several case studies. Compiling the authors' many concepts and results developed over the years, this book shows how to obtain a robust numerical solution of PDEs using the mimetic discretization approach. It also helps readers compare alternative methods in the literature.

A straightforward, practical guide to extreme value modeling for today's world

Measuring and interpreting data for extreme values presents a unique and important challenge that has far-reaching implications for all aspects of modern engineering and science. Extreme Value and Related Models with Applications in Engineering and Science reflects the latest information in this growing field. The book incorporates illuminating real-world examples from such areas as structural engineering, hydraulics, meteorology, materials science, highway traffic analysis, environmetrics, and climatology, and is designed to help engineers, mathematicians, statisticians, and scientists gain a clearer understanding of extreme value theory and then translate that knowledge into practical applications within their own fields of research.

The book provides: A unique focus on modern topics including data analysis and inference Specific data in such areas as wind, flood, chain strength, electrical insulation, fatigue, precipitation, and wave heights Useful techniques for addressing extreme value problems, including discrete, continuous, univariate, and multivariate models Coverage of order statistics, return period, exceedances and shortfalls, along with detailed explanations on how to obtain exact distributions for these statistics An in-depth look at asymptotic models and the limit distributions of maxima, minima, and other order statistics

Enhanced with numerous graphs and exercises, plus an extensive bibliography for further study, this text is an important reference source for engineers designing structures that will withstand even the most extreme circumstances.

Uric acid is the end-product of the purine metabolism in human beings. Most of this substance is in the form of monosodium urate in compartments with pH 7.4, such as plasma and extracellular fluids. In this book, the authors present current research in the study of the biology, functions and disease relating to uric acid. Topics discussed include the role of uric acid in the avian species; uric acid in multiple sclerosis and neurodegenerative diseases and the role of uric acid in metabolic syndrome and in hypertension and renal failure.

El espiritu emprendedor se ha fortalecido de forma significativa a nivel global, actualmente las buenas ideas se estan convirtiendo en importantes negocios, pero los retos son enormes, la competencia feroz y la globalizacion provocan una necesidad de profesionalizacion de los nuevos administradores y emprendedores a nivel mundial si quieren permanecer en un mercado cada vez mas cambiante. Para destacar, el liderazgo en la comercializacion, la adecuada negociacion y la creatividad para posicionar el producto son cuestiones fundamentales, ya que sin ellas, por muy buena que sea la idea, producto o servicio, facilmente podra desaparecer del mercado. La presente obra pretende brindar a los nuevos administradores y emprendedores las herramientas necesarias para realmente emprender frente a la competitividad internacional, asimismo, presenta temas de la administracion en el contexto de la organizacion, donde se abordan los conceptos de Gobierno Corporativo y la importancia de un equipo de trabajo altamente motivado para generar una ventaja competitiva. El emprendedor actual tiene que saber negociar, identificar sus fortalezas y generar caminos de accion para lograr sus objetivos, temas incluidos en este libro que puede ser el ABC del emprendedor en estos tiempos de constante cambio.

Myopathies are a clinically and genetically heterogenous group of muscle diseases characterized by pathologic changes in muscle fibres that compromise their contractile ability. The authors of this book have gathered new research from across the globe and topics discussed in this compilation include inherited myopathies with distinct clinical manifestations; muscle biopsy as a diagnostic procedure in suspected myopathies; inflammation in dysferlinopathies; mitochondrial disorders; dysphagia in the myopathies; and aB-Crystallin (HSPB5) and myofibrillar myopathies.