The subject of this book is the higher transcendental function known as the confluent hypergeometric function. In the last two decades this function has taken on an ever increasing significance because of its use in the application of mathematics to physical and technical problems. There is no doubt that this trend will continue until the general theory of confluent hypergeometric functions becomes familiar to the majority of physicists in much the same way as the cylinder functions, which were previously less well known, are now used in many engineering and physical problems. This book is intended to further this development. The important practical significance of the functions which are treated hardly demands an involved discussion since they include, as special cases, a number of simpler special functions which have long been the everyday tool of the physicist. It is sufficient to mention that these include, among others, the logarithmic integral, the integral sine and cosine, the error integral, the Fresnel integral, the cylinder functions and the cylinder function in parabolic cylindrical coordinates. For anyone who puts forth the effort to study the confluent hypergeometric function in more detail there is the inestimable advantage of being able to understand the properties of other functions derivable from it. This gen eral point of view is particularly useful in connection with series ex pansions valid for values of the argument near zero or infinity and in connection with the various integral representations.
This Third Edition is the first English-language edition of the award-winning Meilensteine der Rechentechnik; illustrated in full color throughout in two volumes. The Third Edition is devoted to both analog and digital computing devices, as well as the world's most magnificient historical automatons and select scientific instruments (employed in astronomy, surveying, time measurement, etc.). It also features detailed instructions for analog and digital mechanical calculating machines and instruments, and is the only such historical book with comprehensive technical glossaries of terms not found in print or in online dictionaries. The book also includes a very extensive bibliography based on the literature of numerous countries around the world. Meticulously researched, the author conducted a worldwide survey of science, technology and art museums with their main holdings of analog and digital calculating and computing machines and devices, historical automatons and selected scientific instruments in order to describe a broad range of masterful technical achievements. Also covering the history of mathematics and computer science, this work documents the cultural heritage of technology as well.
In front of a serene summer landscape Susanne and Christian go through the story of her love. Susanne, already promised to another man, feels a unprecedented affection for the human strong, unconventional but also aimless Christian, who brings them into a deep conflict and its controlled and manageable life suddenly call into question.
Written by the author of the award-winning "Chemische Kabinettstücke" this book demonstrates over 80 enjoyable, impressive and sometimes almost unbelievable chemical experiments for the classroom, lecture hall or home. All the experiments are explained in full, and have been tested several times such that their successful reproduction is guaranteed. Grouped into several cycles -- water, the color blue, the color red, soles, and self-organization -- the topics are perfect for experimental lectures or school projects. Detailed illustrations and the lively writing style make this book equally attractive to readers interested in chemistry, even if they are unable to perform the experiments.
Almost everyone has a Last Will and Testament that tells their family and friends what is to become of their property, but few people have thought about the spiritual gifts and memories they'd like to leave their loved ones. Well-known and beloved author Herbert Brokering here shares the spiritual gifts and intimate memories that he'd like to leave to his family and his readers. As he ponders the grace he has received from the people, places, and events of his life he inspires our own reflection on what we wish to leave to our loved ones. Each chapter includes a Bible passage and key questions for reflection.
The leading players and outstanding matches of two thrilling decades in tennis history From Rod Laver’s amateur Grand Slam in 1962 to the first US Open held at the National Tennis Center in Flushing Meadows, legendary sportswriter Herbert Warren Wind captures the grace and drama of modern tennis in this brilliant collection drawn from the pages of the New Yorker. The era’s biggest names, including Margaret Court, Chris Evert, John Newcombe, Arthur Ashe, and Pancho Gonzales, thrill the crowds of Roland Garros, Wimbledon, and Forest Hills, and America’s Davis Cup team battles patriotic linesmen and frenzied fans in an epic showdown against the Romanians in Bucharest. In “Mrs. King versus Mr. Riggs,” Wind paints a witty and evocative portrait of Billy Jean King’s historic beatdown of Bobby Riggs, and in “Forest Hills and the Final Between Connors and Borg,” he vividly recounts one of the wildest and woolliest tournaments in the sport’s history. Rendered with the same authority and eloquence that led the New York Times to declare Wind the dean of American golf writers, these dispatches from center court testify to the celebrated journalist’s passion and versatility.
Retaining the proven didactic concept of the successful "Chemical Biology - Learning through Case Studies", this sequel features 27 new case studies, reflecting the rapid growth in this interdisciplinary topic over the past few years. Edited by two of the world's leading researchers in the field, this textbook introduces students and researchers to the modern approaches in chemical biology, as well as important results, and the techniques and methods applied. Each chapter presents a different biological problem taken from everyday lab work, elucidated by an international team of renowned scientists. With its broad coverage, this is a valuable source of information for students, graduate students, and researchers working on the borderline between chemistry, biology, and biochemistry.
A distillation of the thought and research to which Herbert Butterfield devoted the last twenty years of his life to, this book, originally published in 1981, traces how differently people understood the relevance of their past and its connection with their religion. It examines ancient Egypt and Mesopotamia; the political perceptiveness of the Hittites; the Jewish sense of God in history, of promise and fulfilment; the classical achievement of scientific history; and the unique Chinese tradition of historical writing. The author explains the problems of the early Christians in relating their traditions of Jesus to their life and faith and the emergence, when Christianity became the religion of the Roman Empire, of a new historical understanding. The book then charts the gradual growth of a sceptical approach to recorded authority in Islam and Western Europe, the reconstruction of the past by deductive analysis of the surviving evidence and the secularisation of the eighteenth century.
A volume which embodies an entire generation of scholarship on the artist. Seurat's brief but brilliant career is traced from his early academic drawings of the 1870s to the paintings of popular entertainments and the serene landscapes of his final years.
Herbert Kritzer presents a clear introduction to the history, methods and substance of empirical legal research (ELR). Quantitative methods dominate in empirical legal research, but an important segment of the field draws on qualitative methods, such as semi-structured interviews and observation. In this book both methodologies are explored alongside systematic data analysis. Offering an overview of the broad ELR literature, the institutions of the law, the central actors of the law, and the subjects of the law are each addressed in this highly readable account that will be essential reading for legal researchers.
This book collects in a single volume Marc Galanter's seminal work, "Why the 'Haves' Come Out Ahead," with ten contemporary articles about Galanter's theory. The articles, which present new research results and synthesize work done over the past few decades, examine the lasting influence and continued importance of this groundbreaking work.
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