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Linear Differential Equations and Group Theory from Riemann to Poincaré

A study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and on-Euclidean geometry. The text for this second edition has been greatly expanded and revised, and the existing appendices enriched with historical accounts of the Riemann–Hilbert problem, the uniformization theorem, Picard–Vessiot theory, and the hypergeometric equation in higher dimensions. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level.

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Linear and Nonlinear Programming

"Linear and Nonlinear Programming" is considered a classic textbook in Optimization. While it is a classic, it also reflects modern theoretical insights. These insights provide structure to what might otherwise be simply a collection of techniques and results, and this is valuable both as a means for learning existing material and for developing new results. One major insight of this type is the connection between the purely analytical character of an optimization problem, expressed perhaps by properties of the necessary conditions, and the behavior of algorithms used to solve a problem. This was a major theme of the first and second editions. Now the third edition has been completely updated with recent Optimization Methods. Yinyu Ye has written chapters and chapter material on a number of these areas including Interior Point Methods.

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Linear and Generalized Linear Mixed Models and Their Applications

This book covers two major classes of mixed effects models, linear mixed models and generalized linear mixed models, and it presents an up-to-date account of theory and methods in analysis of these models as well as their applications in various fields. The book offers a systematic approach to inference about non-Gaussian linear mixed models. Furthermore, it has included recently developed methods, such as mixed model diagnostics, mixed model selection, and jackknife method in the context of mixed models.

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Linear Algebraic Monoids

The theory of linear algebraic monoids culminates in a coherent blend of algebraic groups, convex geometry, and semigroup theory. The book discusses all the key topics in detail, including classification, orbit structure, representations, universal constructions, and abstract analogues. An explicit cell decomposition is constructed for the wonderful compactification, as is a universal deformation for any semisimple group. A final chapter summarizes important connections with other areas of algebra and geometry. The book will serve as a solid basis for further research. Open problems are discussed as they arise and many useful exercises are included.

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Linear Algebra Thoroughly Explained

Linear Algebra Thoroughly Explained provides a comprehensive introduction to the subject suitable for adoption as a self-contained text for courses at undergraduate and postgraduate level. The clear and comprehensive presentation of the basic theory is illustrated throughout with an abundance of worked examples. The book is written for teachers and students of linear algebra at all levels and across mathematics and the applied sciences, particularly physics and engineering.

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Limits to the European Union’s Normative Power in a Post-conflict Society : EULEX and Peacebuilding in Kosovo

Investigates the EU’s peacebuilding activities in that country, in the light of the normative power theory in the post-conflict setting and peacebuilding theory. Ten years after the massive engagement of the EU in the country torn by war, the authors critically assess the effects of the EU projecting its normative power – the enforcement of its standards, ‘good’ or ‘bad’ – through the EULEX mission, taking into consideration also the local aspects, so far neglected in this field of research. Inspecting thoroughly the EULEX activities in the police, customs and judiciary sector.This open access book offers a comprehensive assessment of the EULEX mission, based on two Horizon2020 research projects: IECEU - Improving the Effectiveness of Capabilities in EU Conflict Prevention, and KOSNORTH – The European Union and its Normative Power in a Post-conflict Society: A Case Study of Northern Kosovo (Marie Sklodowska-Curie Individual Fellowship).

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Limit Cycles of Differential Equations

Contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Recerca Matemàtica Barcelona in 2006.The topics covered are the center-focus problem for polynomial vector fields, and the application of abelian integrals to limit cycle bifurcations. Both topics are related to Hilbert's sixteenth problem. In particular, the book will be of interest to students and researchers working in the qualitative theory of dynamical systems.

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Light-Associated Reactions of Synthetic Polymers

This book presents a range of reactions and materials with some of the most exciting current and future applications. It includes a brief introduction to photochemistry; in-depth discussion of photosensitizers, photoinititiators, and the processes of light curing and crosslinking; listing of light responsive polymers and their uses; and a discussion of polymeric materials for use in non-linear optics.

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Light Scattering Reviews 3 : Light Scattering and Reflection

Ddevoted to modern knowledge and milestones in both experimental and theoretical techniques related to light scattering and radiative transport problems. It will consist of 3 parts comprising 11 contributions written by world leading experts in their respective fields. The general focus of the book will be on remote sensing of geophysical media. The first part will be devoted exclusively to studies of single light scattering by particles of different shapes and chemical compositions. The first chapter will review in situ measurements of cloud optical characteristics like cloud extinction and phase function, with the emphasis on ice clouds. Chapter 2 will cover opitcally soft particles common in marine environments and bio-suspensions while Chapter 3 will describe numerical techniques applicable not only to isotropic but also to chiral and anisotropic mdia. The final chapter in this part will deal with spatial symmetries in light scattering problems.

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Light Scattering Reviews

Light Scattering Reviews is the first book in a series devoted to bringing together the state-of-the-art and milestones in our knowledge of light scattering media optics (LSMO). Contributions from leading researchers focus on both the theoretical and experimental results in the area. The book provides a valuable picture of recent developments in light scattering. It facilitates studies in LSMO and will be of great importance for researchers in a variety of disciplines. Divided into three parts, this volume first discusses single light scattering, followed by multiple light scattering and finally looks at the possible applications in combustion and marine research.

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Light Scattering from Polymer Solutions and Nanoparticle Dispersions

Light scattering is a very powerful method to characterize the structure of polymers and nanoparticles in solution. Recent technical developments have strongly enhanced the possible applications of this technique, overcoming previous limitations like sample turbidity or insufficient experimental time scales. However, despite their importance, these new developments have not yet been presented in a comprehensive form. In addition, and maybe even more important to the broad audience, there lacks a simple-to-read textbook for students and non-experts interested in the basic principles and fundamental techniques of light scattering. As part of the Springer Laboratory series, this book tries not only to provide such a simple-to-read and illustrative textbook about the seemingly very complicated topic of light scattering from polymers and nanoparticles in dilute solution, but also intends to cover some of the newest technical developments in experimental light scattering.

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Light scattering by systems of particles : Null-field method with discrete sources : Theory and programs

Light Scattering by Systems of Particles comprehensively develops the theory of the null-field method, while covering almost all aspects and current applications. The "Null-field Method with Discrete Sources" is an extension of the Null-field Method (also called T-Matrix Method) to compute light scattering by arbitrarily shaped dielectric particles. This book incorporates FORTRAN programs and exemplary simulation results that demonstrate all aspects of the latest developments of the method. Worked examples of the application of the FORTRAN programs show readers how to adapt or modify the programs for their specific application.

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Light Scattering by Optically Soft Particles: Theory and Applications

Deals with a particular class of approximation methods in the context of light scattering by small particles. This class of approximations has been termed as eikonal or soft particle approximations. The eikonal approximation was studied extensively in the potential scattering and then adopted in optical scattering problems. In this context, the eikonal and other soft particle approximations pertain to scatterers whose relative refractive index compared to surrounding medium is close to unity. The study of these approximations is very important because soft particles occur abundantly in nature. For example, the particles that occur in ocean optics, biomedical optics, atmospheric optics and in many industrial applications can be classified as soft particles. This book was written in recognition of the long-standing and current interest in the field of scattering approximations for soft particles. It should prove to be a useful addition for researchers in the field of light scattering.

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Light Absorption in Sea Water

Takes a fresh, holistic approach to the problems of light absorption and absorbers in seawaters, discussing the fundamentals of light absorption at various depths in seawaters of different trophicity by absorbers of diverse origin. The authors have drawn their information from a substantial body of contemporary research results published in the subject literature (over 700 references) as well as their own work during the last 30 years. No other book presently available examines the issues of light absorption and absorbers in seawaters in such a manner. The physical and chemical properties, as well as the optical constants, of organic and inorganic suspended particulate matter (SPM), are discussed in the context of their relationship to the light absorption properties of SPM. Special emphasis is placed on the role of the phytoplankton and the pigments it contains which are particularly strong and important absorbers of visible light in the sea.

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Lifting Modules : Supplements and Projectivity in Module Theory

Extending modules are generalizations of injective modules and, dually, lifting modules generalize projective supplemented modules. There is a certain asymmetry in this duality. While the theory of extending modules is well documented in monographs and text books, the purpose of our monograph is to provide a thorough study of supplements and projectivity conditions needed to investigate classes of modules related to lifting modules. The text begins with an introduction to small submodules, the radical, variations on projectivity, and hollow dimension. The subsequent chapters consider preradicals and torsion theories (in particular related to small modules), decompositions of modules (including the exchange property and local semi-T-nilpotency), supplements in modules (with specific emphasis on semilocal endomorphism rings), finishing with a long chapter on lifting modules, leading up their use in the theory of perfect rings, Harada rings, and quasi-Frobenius rings.

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Lifetime Spectroscopy : A Method of Defect Characterization in Silicon for Photovoltaic Applications

Lifetime spectroscopy is one of the most sensitive diagnostic tools for the identification and analysis of impurities in semiconductors. Since it is based on the recombination process, it provides insight into precisely those defects that are relevant to semiconductor devices such as solar cells. This book introduces a transparent modeling procedure that allows a detailed theoretical evaluation of the spectroscopic potential of the different lifetime spectroscopic techniques. The various theoretical predictions are verified experimentally with the context of a comprehensive study on different metal impurities. The quality and consistency of the spectroscopic results, as explained here, confirms the excellent performance of lifetime spectroscopy.

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Lifelong Learning, Participation and Equity

In many countries, schools, universities and other traditional learning institutions are not providing for the educational needs of all members of the community. In many communities, particularly in regional, rural and disadvantaged areas, there are only limited options for people to undertake learning. Limited participation in learning has the danger of reinforcing people’s alienation from mainstream education and from participation and inclusion in social institutions and economic and community life more generally. This book addresses the challenge of identifying effective ways of accommodating the learning needs of all people and in so doing achieving the goals of lifelong learning for all.

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Life Skills Education for Youth : Critical Perspectives

This book critically reviews a diverse body of scholarship and practice that informs the conceptualization, curriculum, teaching and measurement of life skills in education settings around the world. It discusses life skills as they are implemented in schools and non-formal education, providing both qualitative and quantitative evidence of when, with whom, and how life skills do or do not impact young women’s and men’s lives in various contexts. Specifically, it examines the nature and importance of life skills, and how they are taught.

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Life Conduct in Modern Times : Karl Jaspers and Psychoanalysis

This award-winning book investigates the critique of psychoanalysis formulated by the psychiatrist and philosopher Karl Jaspers (1883-1969) over a period of five decades. His arguments against Freud and his followers are examined from systematic perspectives. The study traces the medico-historical roots of Jasper’s criticism of psychoanalysis and then places it within the framework of scientific theory before devoting itself extensively to medico-ethical aspects of the controversy, which are ultimately treated in terms of a history of mentalities. According to this view, Jasper’s student Hannah Arendt saw to it that the philosopher be made aware of the socio-cultural impact which psychoanalysis was beginning to have in the U.S.A.

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Life : An Introduction to Complex Systems Biology

What is life? Has molecular biology given us a satisfactory answer to this question? And if not, why, and how to carry on from there? This book examines life not from the reductionist point of view, but rather asks the question: what are the universal properties of living systems and how can one construct from there a phenomenological theory of life that leads naturally to complex processes such as reproductive cellular systems, evolution and differentiation? The presentation has been deliberately kept fairly non-technical so as to address a broad spectrum of students and researchers from the natural sciences and informatics.

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