This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics- Written by world-experts in the field- Up-to-date contents

This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory. The approach is simple: a mapping is called smooth if it maps smooth curves to smooth curves. Up to Fr‚chet spaces, this notion of smoothness coincides with all known reasonable concepts. In the same spirit, calculus of holomorphic mappings (including Hartogs' theorem and holomorphic uniform boundedness theorems) and calculus of real analytic mappings are developed. Existence of smooth partitions of unity, the foundations of manifold theory in infinite dimensions, the relation between tangent vectors and derivations, and differential forms are discussed thoroughly. Special emphasis is given to the notion of regular infinite dimensional Lie groups. Many applications of this theory are included: manifolds of smooth mappings, groups of diffeomorphisms, geodesics on spaces of Riemannian metrics, direct limit manifolds, perturbation theory of operators, and differentiability questions of infinite dimensional representations.

User research is global – yet despite its pervasiveness, practitioners are not all well equipped to work globally. What may have worked in Nigeria may not be accepted in Russia, may be done differently in Brazil, may partly work in China, and may completely fail in Kuwait. And what often goes less noticed, but can be equally vexing are technical, logistical and planning issues such as hiring qualified translators, payment procedures, travel issues, setting up facilities and finding test participants.The Handbook of Global User Research is the first book to focus on global user research. The book collects insight from UX professionals from nine countries and, following a typical project timeline, presents practical insights into the preparation, fieldwork, analysis and reporting, and overall project management for global user research projects. Any user experience professional that works on global projects -- including those new to the field, UX veterans who need information on this expanding aspect of user research, and students -- will need this book to do their job effectively. - Presents the definitive collection of hard won lessons from user research professionals around the world - Includes real-world examples of global user research challenges and provides approaches to these issues - Contains anecdotes and hard-won from the field that illustrate actionable tactics for practitioners

In 1995 the Handbook of Global Optimization (first volume), edited by R. Horst, and P.M. Pardalos, was published. This second volume of the Handbook of Global Optimization is comprised of chapters dealing with modern approaches to global optimization, including different types of heuristics. Topics covered in the handbook include various metaheuristics, such as simulated annealing, genetic algorithms, neural networks, taboo search, shake-and-bake methods, and deformation methods. In addition, the book contains chapters on new exact stochastic and deterministic approaches to continuous and mixed-integer global optimization, such as stochastic adaptive search, two-phase methods, branch-and-bound methods with new relaxation and branching strategies, algorithms based on local optimization, and dynamical search. Finally, the book contains chapters on experimental analysis of algorithms and software, test problems, and applications.

The current health situation has been described as chaotic and devastating. Humanity’s trust in the future and in its human capacity to overcome a disaster of such magnitude is even starting to wither away. If science still lacks a response to the pandemic, can the humanities offer something to cope with this situation? The world can adopt a historical perspective and realize that this is not the first time a global pandemic has struck. Issues including illness, suffering, endurance, resilience, human survival, etc. have been dealt with by literature, philosophy, psychology, and sociology throughout the ages and should be explored once again in response to the COVID-19 pandemic. The Handbook of Research on Historical Pandemic Analysis and the Social Implications of COVID-19 explores the issue of disease from a variety of philosophical, legal, historical, and social perspectives to offer both comprehension and consolation to the human psyche. This group of scholars within the fields of education, psychology, linguistics, history, and philosophy provides a comprehensive view of the humanities as it relates to the pandemic within the frame of human reaction to pain and calamity. This book also looks at the impact the COVID-19 pandemic has had on society in a multidisciplinary capacity that examines its effects in education, government, business, and more. Covering topics such as public health legislation, sociology, impacts on women, and population genetics, this book is essential for sociologists, psychologists, communications experts, historians, researchers, students, and academicians.

This volume reviews the state of the field of world-systems analysis. World-systems analysts study the structure of the relationships among people, organisations, and states and how those relationships change over time.

Global value chains (GVCs) are a key feature of the global economy in the 21st century. They show how international investment and trade create cross-border production networks that link countries, firms and workers around the globe. This Handbook describes how GVCs arise and vary across industries and countries, and how they have evolved over time in response to economic and political forces. With chapters written by leading interdisciplinary scholars, the Handbook unpacks the key concepts of GVC governance and upgrading, and explores policy implications for advanced and developing economies alike. p.p1 {margin: 0.0px 0.0px 0.0px 0.0px; font: 10.0px Arial}