A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 1 is devoted to real analysis. From one point of view, it presents the infinitesimal calculus of the twentieth century with the ultimate integral calculus (measure theory) and the ultimate differential calculus (distribution theory). From another, it shows the triumph of abstract spaces: topological spaces, Banach and Hilbert spaces, measure spaces, Riesz spaces, Polish spaces, locally convex spaces, Fréchet spaces, Schwartz space, and spaces. Finally it is the study of big techniques, including the Fourier series and transform, dual spaces, the Baire category, fixed point theorems, probability ideas, and Hausdorff dimension. Applications include the constructions of nowhere differentiable functions, Brownian motion, space-filling curves, solutions of the moment problem, Haar measure, and equilibrium measures in potential theory.

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Designed to serve as the first point of reference on the subject, Comprehensive Chemometrics presents an integrated summary of the present state of chemical and biochemical data analysis and manipulation. The work covers all major areas ranging from statistics to data acquisition, analysis, and applications. This major reference work provides broad-ranging, validated summaries of the major topics in chemometrics—with chapter introductions and advanced reviews for each area. The level of material is appropriate for graduate students as well as active researchers seeking a ready reference on obtaining and analyzing scientific data. Features the contributions of leading experts from 21 countries, under the guidance of the Editors-in-Chief and a team of specialist Section Editors: L. Buydens; D. Coomans; P. Van Espen; A. De Juan; J.H. Kalivas; B.K. Lavine; R. Leardi; R. Phan-Tan-Luu; L.A. Sarabia; and J. Trygg Examines the merits and limitations of each technique through practical examples and extensive visuals: 368 tables and more than 1,300 illustrations (750 in full color) Integrates coverage of chemical and biological methods, allowing readers to consider and test a range of techniques Consists of 2,200 pages and more than 90 review articles, making it the most comprehensive work of its kind Offers print and online purchase options, the latter of which delivers flexibility, accessibility, and usability through the search tools and other productivity-enhancing features of ScienceDirect

The Middle East can be bewildering, which is why we need to connect the dots that pull together the political, economic, diplomatic, military, cultural, and religious pieces of the puzzle. Professor Steven Carol slashes through the confusion with a topical approach, focusing on key issues such as the geographic features of the Middle East, demographics of the region, the influence of Islam, political processes, shifting alliances, war in the region, and the need for security. He also takes a careful look at perpetual negotiations, attempts to secure peace, and the role that the media play in how we view the region. His goal: to clarify the confusing nature of Middle East affairs and to combat the mistaken beliefs, misrepresentations, and outright fabrications about the region. In a bid to reclaim the truth, he shares basic principles, relying on factual supporting evidence to prove their validity. Seventy-eight maps and numerous tables make understanding complex topics easier. Whether you’re a student, educator, bureaucrat or politician, you’ll find insights based on facts in Understanding the Volatile and Dangerous Middle East.

This dynamic guide to doing literature reviews demystifies the process in seven steps to show researchers how to produce a comprehensive literature review. Teaching techniques to bring systematic thoroughness and reflexivity to research, the authors show how to achieve a rich, ethical and reflexive review. What makes this book unique: Focuses on multimodal texts and settings such as observations, documents, social media, experts in the field and secondary data so that your review covers the full research environment Puts mixed methods at the centre of the process Shows you how to synthesize information thematically, rather than merely summarize the existing literature and findings Brings culture into the process to help you address bias and understand the role of knowledge interpretation, guiding you through Teaches the CORE of the literature review – Critical thinking, Organization, Reflections and Evaluation – and provides a guide for reflexivity at the end of each of the seven steps Visualizes the steps with roadmaps so you can track progress and self-evaluate as you learn the steps This book is the essential best practices guide for students and researchers, providing the understanding and tools to approach both the ‘how’ and ‘why’ of a rigorous, comprehensive, literature review.