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This book centers on normal families of holomorphic and meromorphic functions and also normal functions. The authors treat one complex variable, several complex variables, and infinitely many complex variables (i.e., Hilbert space). The theory of normal families is more than 100 years old. It has played a seminal role in the function theory of complex variables. It was used in the first rigorous proof of the Riemann mapping theorem. It is used to study automorphism groups of domains, geometric analysis, and partial differential equations. The theory of normal families led to the idea, in 1957, of normal functions as developed by Lehto and Virtanen. This is the natural class of functions for treating the Lindelof principle. The latter is a key idea in the boundary behavior of holomorphic functions. This book treats normal families, normal functions, the Lindelof principle, and other related ideas. Both the analytic and the geometric approaches to the subject area are offered. The authors include many incisive examples. The book could be used as the text for a graduate research seminar. It would also be useful reading for established researchers and for budding complex analysts.
This book gathers the latest advances, innovations, and applications in the field of effective methods of calculation, resource-saving technologies and advanced materials in civil and environmental engineering, as presented by leading international researchers and engineers at the XVII International Scientific Conference Current Issues of Civil and Environmental Engineering “Lviv- Košice – Rzeszów”, held in Lviv, Ukraine on September 11-13, 2019. It covers highly diverse topics, including structural shaping and optimization; aspects of structural behavior and modeling; advanced analysis methods; experimental tests and numerical simulations; design codes, in particular Eurocodes and o...
This book gathers together a novel collection of problems in mathematical analysis that are challenging and worth studying. They cover most of the classical topics of a course in mathematical analysis, and include challenges presented with an increasing level of difficulty. Problems are designed to encourage creativity, and some of them were especially crafted to lead to open problems which might be of interest for students seeking motivation to get a start in research. The sets of problems are comprised in Part I. The exercises are arranged on topics, many of them being preceded by supporting theory. Content starts with limits, series of real numbers and power series, extending to derivativ...
In 1988, the first edition of Orest Subtelny's Ukraine was published to international acclaim, as the definitive history of what was at that time a republic in the USSR. In the years since, the world has seen the dismantling of the Soviet bloc and the restoration of Ukraine's independence - an event celebrated by Ukrainians around the world but which also heralded a time of tumultuous change for those in the homeland. While previous updates brought readers up to the year 2000, this new fourth edition includes an overview of Ukraine's most recent history, focusing on the dramatic political, socio-economic, and cultural changes that occurred during the Kuchma and Yushchenko presidencies. It analyzes political developments - particularly the so-called Orange Revolution - and the institutional growth of the new state. Subtelny examines Ukraine's entry into the era of globalization, looking at social and economic transformations, regional, ideological, and linguistic tensions, and describes the myriad challenges currently facing Ukrainian state and society.
Welcome to Ukraine--home of the Lemurian Lake, the National Chernobyl Museum, and vast fields of grain! Informative, easy-to-read text and oversize scenic photos draw in readers as they learn about Ukraine's history, government, major cities, land features, natural resources, culture, and more! Maps, a timeline with photos, and a facts page that includes major statistics complement the text. Aligned to Common Core standards and correlated to state standards. Big Buddy Books is an imprint of Abdo Publishing, a division of ABDO.
In this book, the renowned historian Orest Subtelny, who wrote Ukraine: A History, describes to us how, in 1911, a small group of teachers, whose people lived under foreign rule, at the crossroads of empires, took Baden Powell's idea, adapted it to their circumstances and formed a scouting organization for the betterment of Ukrainian youth and to provide hope to the Ukrainian nation. The organization was buffeted by history — repression, war, emigration, dispersement throughout the world — and finally found renewal in a free Ukraine. It was an amazing journey, truly a unique story.
`A compelling and highly personal narrative, Red' Quarter Moon adds much to our knowledge on the lives of the individuals and families who survived the Stalin era, yet lived behind the Iron Curtain for so many years.' Marlene Epp, Conrad Grebel University College, University of Waterloo This is a gripping story of individuals caught in an inhuman world ... With admirable persistence, Anne Konrad has managed to trace the lives of most of her relatives affected by these tragic times. She has scanned archives and collected testimonies in several continents, ranging from Canada to Ukraine, to Siberia, to Paraguay. Konrad offers a unique perspective on the personal costs of religion in Russia. From the foreword by Hiroaki Kuromiya
This book gathers the latest advances, innovations, and applications in the field of effective methods of calculation, resource-saving technologies, and advanced materials in civil and environmental engineering, as presented by leading international researchers and engineers at the XVIII International Scientific Conference Current Issues of Civil and Environmental Engineering “Lviv- Košice – Rzeszów”, held in Rzeszów, Poland, on September 6–8, 2023. It covers highly diverse topics, including structural shaping and optimization; aspects of structural behavior and modeling; advanced analysis methods; experimental tests and numerical simulations; design codes, in particular Eurocodes...