Convex Analysis

Noise and air pollution from motor vehicles have a major impact on the physical and mental well-being of urban residents worldwide. Although control measures have already been implemented in most developed countries, noise and air pollution have only recently become major problems in many developing countries, as rapid industrial growth, population increase and improved living standards have led to an increase in car ownership. If control measures are not implemented swiftly in developing countries, the effects on public health will be extremely serious.This book, which has been prepared by WHO in collaboration with the Ecotoxicology Service of the Department of Public Health in Geneva, discusses global trends in noise and air pollution from motor vehicles, their effects on public health, and the control measures available.This book discusses:* global trends of motor vehicle air pollution* its effects on public health* the various control measures available

Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.Convex Analysis introduces analytic tools for studying convexity and provides analytical applications of the concept. The book includes a general background on classical geometric theory which allows readers to obtain a glimpse of how modern mathematics is developed and how geometric ideas may be studied analytically. Featuring a user-friendly approach, the book contains copious examples and plenty of figures to illustrate the ideas presented. It also includes an appendix with the technical tools needed to understand certain arguments in the book, a tale of notation, and a thorough glossary to help readers with unfamiliar terms. This book is a definitive introductory text to the concept of convexity in the context of mathematical analysis and a suitable resource for students and faculty alike.