Gender, Lifespan and Quality of Life

Gender, Lifespan and Quality of Life

This publication addresses the gender dimensions of peoples lived experience and emphasizes how gender relationships differentially impact on womens and girls as well as mens and boys subjective well-being across the lifespan. It therefore fills a significant gap in the literature on quality of life and subjective well-being. The book brings together research which compares females and males subjective experiences of well-being at various life stages from a variety of countries and regions, particularly focusing on womens subjective well-being. Sex-disaggregation of data on objective conditions of quality of life is now routinely undertaken in many countries of the world. However, despite the burgeoning of objective data on sex differences in life conditions across the world, very little gender analysis is carried out to explain fully such difference and there is still a serious dearth of data on gender differences in subjective experiences of quality of life and well-being. This publication will assist researchers, teachers, service providers and policy makers in filling some of the gaps in currently available literature on the nexus between age and gender in producing differential experiences of subjective wellbeing.

Gender, Lifespan and Quality of Life

Mathematics and Art

Mathematics and Art

Recent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory, solving polynomial equations, dynamical systems and differential topology. For a long time, arts, architecture, music and painting have been the source of new developments in mathematics. And vice versa, artists have often found new techniques, themes and inspiration within mathematics. Here, while mathematicians provide mathematical tools for the analysis of musical creations, the contributions from sculptors emphasize the role of mathematics in their work. This book emphasizes and renews the deep relation between Mathematics and Art. The Forum Discussion suggests to develop a deeper interpenetration between these two cultural fields, notably in the teaching of both Mathematics and Art.

Mathematics and Art

Linear Algebra

Linear Algebra

Every student of mathematics needs a sound grounding in the techniques of linear algebra. It forms the basis of the study of linear equations, matrices, linear mappings, and differential equations, and comprises a central part of any course in mathematics. This textbook provides a rigorous introduction to the main concepts of linear algebra which will be suitable for all students coming to the subject for the first time. The book is in two parts: Part One develops the basic theory of vector spaces and linear maps, including dimension, determinants, and eigenvalues and eigenvectors. Part Two goes on to develop more advanced topics and in particular the study of canonical forms for matrices. Professor Berberian is at pains to explain all the ideas underlying the proofs of results as well as to give numerous examples and applications. There is an abundant supply of exercises to reinforce the reader’s grasp of the material and to elaborate on ideas from the text. As a result, this book presents a well-rounded and mathematically sound first course in linear algebra.

Linear Algebra

Maple By Example

Maple By Example

Maple by Example, Third Edition, is a reference/text with CD for beginning and experienced students, professional engineers, and other Maple users. This new edition has been updated to be compatible with the most recent release of the Maple software. Coverage includes built-in Maple commands used in courses and practices that involve calculus, linear algebra, business mathematics, ordinary and partial differential equations, numerical methods, graphics and more. The CD-ROM provides updated Maple input and all text from the book.

Maple By Example

An Introduction to Stochastic Differential Equations

An Introduction to Stochastic Differential Equations

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An Introduction to Stochastic Differential Equations

Differential Evolution

Differential Evolution

Differential evolution is a very simple but very powerful stochastic optimizer. Since its inception, it has proved very efficient and robust in function optimization and has been applied to solve problems in many scientific and engineering fields. In Differential Evolution , Dr. Qing begins with an overview of optimization, followed by a state-of-the-art review of differential evolution, including its fundamentals and up-to-date advances. He goes on to explore the relationship between differential evolution strategies, intrinsic control parameters, non-intrinsic control parameters, and problem features through a parametric study. Findings and recommendations on the selection of strategies and intrinsic control parameter values are presented. Lastly, after an introductory review of reported applications in electrical and electronic engineering fields, different research groups demonstrate how the methods can be applied to such areas as: multicast routing, multisite mapping in grid environments, antenna arrays, analog electric circuit sizing, electricity markets, stochastic tracking in video sequences, and color quantization.

Differential Evolution

Non-fickian Solute Transport in Porous Media

Non-fickian Solute Transport in Porous Media

The advection-dispersion equation that is used to model the solute transport in a porous medium is based on the premise that the fluctuating components of the flow velocity, hence the fluxes, due to a porous matrix can be assumed to obey a relationship similar to Fick s law. This introduces phenomenological coefficients which are dependent on the scale of the experiments. This book presents an approach, based on sound theories of stochastic calculus and differential equations, which removes this basic premise. This leads to a multiscale theory with scale independent coefficients. This book illustrates this outcome with available data at different scales, from experimental laboratory scales to regional scales.

Non-fickian Solute Transport in Porous Media

Boundary Value Problems

Boundary Value Problems

Boundary Value Problems is the leading text on boundary value problems and Fourier series. The author, David Powers, (Clarkson) has written a thorough, theoretical overview of solving boundary value problems involving partial differential equations by the methods of separation of variables.

Boundary Value Problems

Analysis on Graphs and Its Applications

Analysis on Graphs and Its Applications

This book addresses a new interdisciplinary area emerging on the border between various areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus here is on problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. Also included are such diverse topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wiresystems, carbon nano-structures, metal-insulator transition, computer vision, and communication networks.This volume contains a unique collection of expert reviews on the main directions in analysis on graphs (e.g., on discrete geometric analysis, zeta-functions on graphs, recently emerging connections between the geometric group theory and fractals, quantum graphs, quantum chaos on graphs, modeling waveguide systems and modeling quantum graph systems with waveguides, control theory on graphs), as well as research articles.

Analysis on Graphs and Its Applications

A First Course in Differential Equations with Modeling Applications

A First Course in Differential Equations with Modeling Applications

A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 10th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, Remarks boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.

A First Course in Differential Equations with Modeling Applications

Nature-Inspired Algorithms for Optimisation

Nature-Inspired Algorithms for Optimisation

Sect. I. Introduction — Why Is Optimization Difficult? / Thomas Weise, Michael Zapf, Raymond Chiong, Antonio J. Nebro — The Rationale behind Seeking Inspiration from Nature / Kent C.B. Steer, Andrew Wirth, Saman K. Halgamuge — Sect. II. Evolutionary Intelligence — The Evolutionary-Gradient-Search Procedure in Theory and Practice / Ralf Salomon, Dirk V. Arnold — The Evolutionary Transition Algorithm: Evolving Complex Solutions out of Simpler Ones / Tom Lenaerts, Anne Defaweux, Jano van Hemert — A Model-Assisted Memetic Algorithm for Expensive Optimization Problems / Yoel Tenne — A Self-Adaptive Mixed Distribution Based Uni-variate Estimation of Distribution Algorithm for Large Scale Global Optimization / Yu Wang, Bin Li — Differential Evolution with Fitness Diversity Self-Adaptation / Ville Tirronen, Ferrante Neri — Central Pattern Generators: Optimisation and Application / Leena N. Patel — Sect. III. Collective Intelligence — Fish School Search / Carmelo J.A. Bastos Filho … [et al.] — Magnifier Particle Swarm Optimization / Ying Tan, Junqi Zhang — Improved Particle Swarm Optimization in Constrained Numerical Search Spaces / Efren Mezura-Montes, Jorge Isacc Flore-Mendoza — Applying River Formation Dynamics to Solve NP-Complete Problems / Pablo Rabanal, Ismael Rodriguez, Fernando Rubio — Sect. IV. Social-Natural Intelligence — Algorithms Inspired in Social Phenomena / Antonio Neme, Sergio Hernandez — Artificial Immune Systems for Optimization / Heder S. Bernardino, Helio J.C. Barbosa — Sect. V. Multi-Objective Optimisation — Ranking Methods in Many-objective Evolutionary Algorithms / Antonio Lopez Jaimes, Luis Vicente Santana Quintero, Carlos A. Coello Coello — On the Effect of Applying a Steady-State Selection Scheme in the Multi-Objective Genetic Algorithm NSGA-II / Antonio J. Nebro, Juan J. Durillo — Improving the Performance of Multiobjective Evolutionary Optimization Algorithms using Coevolutionary Learning /Tse Guan Tan, Jason Teo — Evolutionary Optimization for Multiobjective Portfolio Selection Under Markowitzs Model with Application to the Caracas Stock Exchange / Feijoo Colomine Duran, Carlos Cotta, Antonio J. Fernandez.

Nature-Inspired Algorithms for Optimisation

A Systems Description of Flow Through Porous Media

A Systems Description of Flow Through Porous Media

This text forms part of material taught during a course in advanced reservoir simulation at Delft University of Technology over the past 10 years. The contents have also been presented at various short courses for industrial and academic researchers interested in background knowledge needed to perform research in the area of closed-loop reservoir management, also known as smart fields, related to e.g. model-based production optimization, data assimilation (or history matching), model reduction, or upscaling techniques. Each of these topics has connections to system-theoretical concepts. The introductory part of the course, i.e. the systems description of flow through porous media, forms the topic of this brief monograph. The main objective is to present the classic reservoir simulation equations in a notation that facilitates the use of concepts from the systems-and-control literature. Although the theory is limited to the relatively simple situation of horizontal two-phase (oil-water) flow, it covers several typical aspects of porous-media flow. The first chapter gives a brief review of the basic equations to represent single-phase and two-phase flow. It discusses the governing partial-differential equations, their physical interpretation, spatial discretization with finite differences, and the treatment of wells. It contains well-known theory and is primarily meant to form a basis for the next chapter where the equations will be reformulated in terms of systems-and-control notation.

A Systems Description of Flow Through Porous Media

Recent Advances in Operator Theory, Operator Algebras and Their Applications

Recent Advances in Operator Theory, Operator Algebras and Their Applications

This book offers peer-reviewed articles from the 19th International Conference on Operator Theory, Summer 2002. It contains recent developments in a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory. The book covers a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, and more.

Recent Advances in Operator Theory, Operator Algebras and Their Applications

Mathematica in Action - Third edition

Mathematica in Action - Third edition

With the third edition of his popular Mathematica in Action, award-winning author Stan Wagon guides readers through the important changes that have been made to Mathematica 6.0. To utilize the more sophisticated graphics capabilities of 6.0, Wagon has significantly expanded the chapters on surfaces and the parametric plotting of surfaces. The chapter on differential equations now includes material from VisualDSolve , built into Mathematica 6.0. Like previous editions, this is not only an introduction to Mathematica 6.0, but also a tour of modern mathematics by one of the fields most gifted expositors. Wagon explores some of the most important areas of modern mathematics with new chapters on optimization, including algebraic and numerical optimization, and linear and integer programming. Connections are also made to computer science with new material on graphs and networks. Wagon is the author of nine books on mathematics, including A Course in Computational Number Theory , named one of the ten best math books of 2000 by the American Library Association. He has written extensively on the educational applications of Mathematica, inlcuding the books VisualDSolve: Visualizing Differential Equations with Mathematica, and Animating Calculus: Mathematica Notebooks for the Laboratory. From Reviews of the Second Edition: ‘The bottom line is that is an outstanding book containing many examples of real uses of Mathematica for the novice, intermediate, and expert user.’ Mark McClure, Mathematica in Education and Research Journal ‘In a dazzling range of examples Stan Wagon shows how such features as animation, 3-dimensional graphics and high-precision integer arithmetic can contribute to our understanding and enjoyment of mathematics.’ Richard Walker, The Mathematical Gazette

Mathematica in Action - Third edition

Semigroups of Linear Operators and Applications to Partial Differential Equations

Semigroups of Linear Operators and Applications to Partial Differential Equations

Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations. This book presents that theory and its basic applications, and the last two chapters give a connected account of the applications to partial differential equations.

Semigroups of Linear Operators and Applications to Partial Differential Equations

Partial Differential Equations

Partial Differential Equations

This book collects papers mainly presented at the ‘International Conference on Partial Differential Equations: Theory, Control and Approximation’ (May 28 to June 1, 2012 in Shanghai) in honor of the scientific legacy of the exceptional mathematician Jacques-Louis Lions. The contributors are leading experts from all over the world, including members of the Academies of Sciences in France, the USA and China etc., and their papers cover key fields of research, e.g. partial differential equations, control theory and numerical analysis, that Jacques-Louis Lions created or contributed so much to establishing.

Partial Differential Equations

The Localization Problem in Index Theory of Elliptic Operators

The Localization Problem in Index Theory of Elliptic Operators

The book deals with the localization approach to the index problem for elliptic operators. Localization ideas have been widely used for solving various specific index problems for a long time, but the fact that there is actually a fundamental localization principle underlying all these solutions has mostly passed unnoticed. The ignorance of this general principle has often necessitated using various artificial tricks and hindered the solution of new important problems in index theory. So far, the localization principle has been only scarcely covered in journal papers and not covered at all in monographs. The suggested book is intended to fill the gap. So far, it is the first and only monograph dealing with the topic. Both the general localization principle and its applications to specific problems, existing and new, are covered. The book will be of interest to working mathematicians as well as graduate and postgraduate university students specializing in differential equations and related topics.

The Localization Problem in Index Theory of Elliptic Operators

Concentration Analysis and Applications to PDE

Concentration Analysis and Applications to PDE

Concentration analysis provides, in settings without a priori available compactness, a manageable structural description for the functional sequences intended to approximate solutions of partial differential equations. Since the introduction of concentration compactness in the 1980s, concentration analysis today is formalized on the functional-analytic level as well as in terms of wavelets, extends to a wide range of spaces, involves much larger class of invariances than the original Euclidean rescalings and has a broad scope of applications to PDE. This book represents current research in concentration and blow-up phenomena from various perspectives, with a variety of applications to elliptic and evolution PDEs, as well as a systematic functional-analytic background for concentration phenomena, presented by profile decompositions based on wavelet theory and cocompact imbeddings.

Concentration Analysis and Applications to PDE

Numerical Analysis of Vibrations of Structures under Moving Inertial Load

Numerical Analysis of Vibrations of Structures under Moving Inertial Load

Moving inertial loads are applied to structures in civil engineering, robotics, and mechanical engineering. Some fundamental books exist, as well as thousands of research papers. Well known is the book by L. Frba, Vibrations of Solids and Structures Under Moving Loads, which describes almost all problems concerning non-inertial loads. This book presents broad description of numerical tools successfully applied to structural dynamic analysis. Physically we deal with non-conservative systems. The discrete approach formulated with the use of the classical finite element method results in elemental matrices, which can be directly added to global structure matrices. A more general approach is carried out with the space-time finite element method. In such a case, a trajectory of the moving concentrated parameter in space and time can be simply defined. We consider structures described by pure hyperbolic differential equations such as strings and structures described by hyperbolic-parabolic differential equations such as beams and plates. More complex structures such as frames, grids, shells, and three-dimensional objects, can be treated with the use of the solutions given in this book.

Numerical Analysis of Vibrations of Structures under Moving Inertial Load

Introduction to Stochastic Integration - Second Edition

Introduction to Stochastic Integration - Second Edition

A highly readable introduction to stochastic integration and stochastic differential equations, this book combines developments of the basic theory with applications. It is written in a style suitable for the text of a graduate course in stochastic calculus, following a course in probability.

Introduction to Stochastic Integration - Second Edition