Handbook Of Global Analysis

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Handbook of Global Analysis

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
The Convenient Setting of Global Analysis

Author: Andreas Kriegl
language: en
Publisher: American Mathematical Soc.
Release Date: 1997
For graduate students and research mathematicians interested in global analysis and the analysis of manifolds, lays the foundations for a differential calculus in infinite dimensions and discusses applications in infinite-dimension differential geometry and global analysis not involving Sobolev completions and fixed-point theory. Shows how the notion of smoothness as mapping smooth curves to smooth curves coincides with all known reasonable concepts up to Frechet spaces. Then develops a calculus of holomorphic mappings, and another of real analytical mapping. Emphasizes regular infinite dimensional Lie groups. Annotation copyrighted by Book News, Inc., Portland, OR
The Handbook of Global User Research

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