This book is the result of several years of work by the authors on different aspects of zeta functions and related topics. The aim is twofold. On one hand, a considerable number of useful formulas, essential for dealing with the different aspects of zeta-function regularization (analytic continuation, asymptotic expansions), many of which appear here, in book format, for the first time are presented. On the other hand, the authors show explicitly how to make use of such formulas and techniques in practical applications to physical problems of very different nature. Virtually all types of zeta functions are dealt with in the book.
One of the aims of this book is to explain in a basic manner the seemingly difficult issues of mathematical structure using some specific examples as a guide. In each of the cases considered, a comprehensible physical problem is approached, to which the corresponding mathematical scheme is applied, its usefulness being duly demonstrated. The authors try to fill the gap that always exists between the physics of quantum field theories and the mathematical methods best suited for its formulation, which are increasingly demanding on the mathematical ability of the physicist.
The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.
By paying attention to Algerian Independence, this book reconstructs the action of the Catholic Church regarding the issues of the spread of Islam in colonies, to Arab nationalism, Marxist propaganda in non-European countries, and the effects of the Algerian crisis upon the French political system. The complex relations between the Holy See and France, as well as those between the Vatican and the Episcopates and clergy of the overseas territories, are vital aspects of decolonisation, a topic which, to date, has been overlooked by historiography because of the impossibility of accessing documents relating to the pontificate of Pius XII (1939-1958) held in the Vatican archives. The opening in March 2020 of the archives of Pius XII, the Pope who had succeeded in imposing the strategic role of the Holy See upon the international scene, has made a vast amount of unpublished documentary material available to scholars. This book is useful for all students and scholars interested in the Cold War, the history of contemporary Europe, the history of the Church, postcolonial studies, and religious phenomenon in post-World War II Europe.
With nearly 400 scores to his credit, Ennio Morricone is one of the most prolific and influential film composers working today. He has collaborated with many significant directors, and his scores for such films as The Good, the Bad, and the Ugly; Once Upon a Time in America; Days of Heaven; The Mission; The Untouchables; Malèna; and Cinema Paradiso leave moviegoers with the conviction that something special was achieved—a conviction shared by composers, scholars, and fans alike. In Composing for the Cinema: The Theory and Praxis of Music in Film, Morricone and musicologist Sergio Miceli present a series of lectures on the composition and analysis of film music. Adapted from several lectures and seminars, these lessons show how sound design can be analyzed and offer a variety of musical solutions to many different kinds of film. Though aimed at composers, Morricone’s expositions are easy to understand and fascinating even to those without any musical training. Drawing upon scores by himself and others, the composer also provides insight into his relationships with many of the directors with whom he has collaborated, including Sergio Leone, Giuseppe Tornatore, Franco Zeffirelli, Warren Beatty, Ridley Scott, Roland Joffé, the Taviani Brothers, and others. Translated and edited by Gillian B. Anderson, an orchestral conductor and musicologist, these lessons reveal Morricone’s passion about musical expression. Delivered in a conversational mode that is both comprehensible and interesting, this groundbreaking work intertwines analysis with practical details of film music composition. Aimed at a wide audience of composers, musicians, film historians, and fans, Composing for the Cinema contains a treasure trove of practical information and observations from a distinguished musicologist and one of the most accomplished composers on the international film scene.
This book is the result of several years of work by the authors on different aspects of zeta functions and related topics. The aim is twofold. On one hand, a considerable number of useful formulas, essential for dealing with the different aspects of zeta-function regularization (analytic continuation, asymptotic expansions), many of which appear here, in book format, for the first time are presented. On the other hand, the authors show explicitly how to make use of such formulas and techniques in practical applications to physical problems of very different nature. Virtually all types of zeta functions are dealt with in the book.
One of the aims of this book is to explain in a basic manner the seemingly difficult issues of mathematical structure using some specific examples as a guide. In each of the cases considered, a comprehensible physical problem is approached, to which the corresponding mathematical scheme is applied, its usefulness being duly demonstrated. The authors try to fill the gap that always exists between the physics of quantum field theories and the mathematical methods best suited for its formulation, which are increasingly demanding on the mathematical ability of the physicist.
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