The method of integral representations is developed in order to establish 1. classical fundamental results of complex analysis both elementary and advanced, 2. subtle existence and regularity theorems for the Cauchy-Riemann equations on complex manifolds.
This carefully written textbook is an introduction to the beautiful concepts and results of complex analysis. It is intended for international bachelor and master programmes in Germany and throughout Europe; in the Anglo-American system of university education the content corresponds to a beginning graduate course. The book presents the fundamental results and methods of complex analysis and applies them to a study of elementary and non-elementary functions (elliptic functions, Gamma- and Zeta function including a proof of the prime number theorem ...) and – a new feature in this context! – to exhibiting basic facts in the theory of several complex variables. Part of the book is a translation of the authors’ German text “Einführung in die komplexe Analysis”; some material was added from the by now almost “classical” text “Funktionentheorie” written by the authors, and a few paragraphs were newly written for special use in a master’s programme.
Despite the fact that crystals make up an estimated 80% of chemical and pharmaceutical products, few resources exist that provide practical guidance on achieving precision control of their size and size distribution. Based on a model developed by the author and his colleagues, Precision Crystallization: Theory and Practice of Controlling Crystal Si
Featuring sixty-seven exceptional color maps as well as eighty-seven vivid images by photographer Hendrik Holler and others, this is the most comprehensive and up-to-date atlas of German wine—a detailed reference to vineyards and appellations. The authors explain the geography of all the German wine-growing regions and provide independent analysis and ranking of the most significant vineyards in each region. In addressing the growing American appreciation of German wines, the atlas pays in-depth attention to Rieslings from the Mosel and other premier regions while also acquainting readers with wines from less familiar areas such as the Ahr, Baden, the Taubertal, and Franconia. Beautifully produced, with helpful sidebars and succinct essays, this book will become the standard reference on the subject.
In the 100 years since Eugen Bleuler unveiled his concept of schizophrenia, which had dissociation at its core, the essential connection between traumatic life events, dissociative processes and psychotic symptoms has been lost. Psychosis, Trauma and Dissociation is the first book to attempt to reforge this connection, by presenting challenging new findings linking these now disparate fields, and by comprehensively surveying, from a wide range of perspectives, the complex relationship between dissociation and psychosis. A cutting-edge sourcebook, Psychosis, Trauma and Dissociation brings together highly-respected professionals working in the psychosis field with renowned clinicians and researchers from the fields of traumatic stress, dissociation and the dissociative disorders, and will be of interest to those working with or studying psychotic or dissociative disorders, as well as trauma-related conditions such as borderline personality disorder or complex post-traumatic stress disorder. It makes an invaluable contribution to the burgeoning literature on severe mental disorders and serious life events. The book has three sections: Connecting trauma and dissociation to psychosis - an exploration of the links between trauma, dissociation and psychosis from a wide range of historical and theoretical perspectives. Comparing psychotic and dissociative disorders - a presentation of empirical and clinical perspectives on similarities and differences between the two sets of disorders. Assessing and treating hybrid and boundary conditions - consideration of existing and novel diagnostic categories, such as borderline personality disorder and dissociative psychosis, that blend or border dissociative and psychotic disorders, along with treatment perspectives emphasising humanistic and existential concerns.
This carefully written textbook is an introduction to the beautiful concepts and results of complex analysis. It is intended for international bachelor and master programmes in Germany and throughout Europe; in the Anglo-American system of university education the content corresponds to a beginning graduate course. The book presents the fundamental results and methods of complex analysis and applies them to a study of elementary and non-elementary functions (elliptic functions, Gamma- and Zeta function including a proof of the prime number theorem ...) and – a new feature in this context! – to exhibiting basic facts in the theory of several complex variables. Part of the book is a translation of the authors’ German text “Einführung in die komplexe Analysis”; some material was added from the by now almost “classical” text “Funktionentheorie” written by the authors, and a few paragraphs were newly written for special use in a master’s programme.
The method of integral representations is developed in order to establish 1. classical fundamental results of complex analysis both elementary and advanced, 2. subtle existence and regularity theorems for the Cauchy-Riemann equations on complex manifolds.
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