This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that until now has been available only in journals. Topics include background from the theory of meromorphic functions on hyperelliptic surfaces and the study of covering maps of the Riemann sphere with...

It is fairly well known that one of Hilbert's famous list of problems is that of developing an axiomatic theory of mathematical probability theory (this problem could be said to have been solved by Khintchine, Kolmogorov, andLevy), and also among the list is the "axiomatization of physics. What is not so well known is that these are two parts of one and the same problem, namely, the sixth, and that the axiomatics of probability are discussed in the context of the foundations of statistical...

Convexity is important in theoretical aspects of mathematics and also for economists and physicists. In this monograph the author provides a comprehensive insight into convex sets and functions including the infinite-dimensional case and emphasizing the analytic point of view. Chapter one introduces the reader to the basic definitions and ideas that play central roles throughout the book. The rest of the book is divided into four parts: convexity and topology on infinite-dimensional spaces...

This book provides an in depth discussion of Loewner’s theorem on the characterization of matrix monotone functions. The author refers to the book as a ‘love poem,’ one that highlights a unique mix of algebra and analysis and touches on numerous methods and results. The book details many different topics from analysis, operator theory and algebra, such as divided differences, convexity, positive definiteness, integral representations of function classes, Pick interpolation, rational approx...

Real-life cases for success on the emergency medicine clerkship and shelf-examExperience with clinical cases is key to mastering the art and science of medicine and ultimately to providing patients with competent medical care. Case Files®*: Emergency Medicine, Fifth Edition* delivers 60 true-to-life cases that illustrate essential concepts in emergency medicine. Each case includes a complete discussion, clinical pearls, references, high-yield presentation ...

SHARPEN YOUR CRITICAL THINKING SKILLS AND IMPROVE PATIENT CAREExperience with clinical cases is key to mastering the art and science of medicine and ultimately to providing patients with competent medical care. Case Files®: Emergency Medicine, Fourth Edition delivers 59 true-to-life cases that illustrate essential concepts in Emergency Medicine. Each case includes an easy-to-understand discussion correlated to key concepts, definitions of key term...

Real life cases for the emergency medicine clerkship and shelf-examYou need exposure to high-yield cases to excel on the emergency medicine clerkship and the shelf-exam. Case Files: Emergency Medicine presents 50 real-life cases that illustrate essential concepts in emergency medicine. Each case includes a complete discussion, clinical pearls, references, definitions of key terms, and USMLE-style review questions. With this system, you'll learn in the cont...

This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous application...

Service integration and management (SIAM) is a management methodology for creating value in an ecosystem where multiple service providers contribute to end-to-end services. It has evolved as organizations moved from single-supplier outsourcing to multi-sourced, increasingly digital, cloud-enabled delivery, where objectives, contracts, data and targets can become misaligned.SIAM enables cross-functional, cross-process and cross-provider integration by establishing a service integrat...

The design of chemical reactors and their safety are as critical to the success of a chemical process as the actual chemistry taking place within the reactor. This book provides a comprehensive overview of the practical aspects of multiphase reactor design and operation with an emphasis on safety and clean technology. It considers not only standard operation conditions, but also the problems of runaway reaction conditions and protection against ensuing over-pressure.Hydrodynami...

A brand-new collection of previously unpublished episodes taken from the programme’s first four decadesShimmering like jewels on a velvet backcloth of world events, this collection presents 14 vintage episodes from BBC Radio 4’s long-running panel show, chaired by Barry Took and Simon HoggartJoining regular panelists Alan Coren, Richard Ingrams, Jeremy Hardy and Francis Wheen to sparkle humorously are guest players includin...

As the NATO Alliance enters its seventh decade, it finds itself involved in an array of military missions ranging from Afghanistan to Kosovo to Sudan. It also stands at the center of a host of regional and global partnerships. Yet, NATO has still to articulate a grand strategic vision designed to determine how, when, and where its capabilities should be used, the values underpinning its new missions, and its relationship to other international actors such as the European Union and the Unit...