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Nevanlinna theory, normal families, and algebraic differential equations, Steinmetz, Norbert


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Автор: Steinmetz, Norbert
Название:  Nevanlinna theory, normal families, and algebraic differential equations
ISBN: 9783319597997
Издательство: Springer
Классификация:


ISBN-10: 331959799X
Обложка/Формат: Paperback
Страницы: 235
Вес: 0.40 кг.
Дата издания: 01.08.2017
Серия: Universitext
Язык: English
Издание: 1st ed. 2017
Иллюстрации: 8 illustrations, black and white; xviii, 235 p. 8 illus.
Размер: 157 x 234 x 19
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations.

Following a comprehensive treatment of Nevanlinnas theory of value distribution, the author presents advances made since Haymans work on the value distribution of differential polynomials and illustrates how value- and pair-sharing problems are linked to algebraic curves and Briot-Bouquet differential equations. In addition to discussing classical applications of Nevanlinna theory, the book outlines state-of-the-art research, such as the effect of the Yosida and Zalcman-Pang method of re-scaling to algebraic differential equations, and presents the Painlev -Yosida theorem, which relates Painlev transcendents and solutions to selected 2D Hamiltonian systems to certain Yosida classes of meromorphic functions.

Aimed at graduate students interested in recent developments in the field and researchers working on related problems, Nevanlinna Theory, Normal Families, and Algebraic Differential Equations will also be of interest to complex analysts looking for an introduction to various topics in the subject area. With examples, exercises and proofs seamlessly intertwined with the body of the text, this book is particularly suitable for the more advanced reader.



Calvin in context

Автор: Steinmetz, David C.
Название: Calvin in context
ISBN: 0199736383 ISBN-13(EAN): 9780199736386
Издательство: Oxford Academ
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Цена: 5701.00 р.
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Описание: The book illuminates Calvin's thought by placing it in the context of the theological and exegetical traditions--ancient, medieval, and contemporary-- that formed it and contributed to its particular texture. Steinmetz addresses a range of issues almost as wide as the Reformation itself,
including the knowledge of God, the problem of iconoclasm, the doctrines of justification and predestination, and the role of the state and the civil magistrate. Along the way, Steinmetz also clarifies the substance of Calvin's quarrels with Lutherans, Catholics, Anabaptists, and assorted radicals
from Ochino to Sozzini. For the new edition he has added a new Preface and four new chapters based on recent published and unpublished essays. An accessible yet authoritative general introduction to Calvin's thought, Calvin in Context engages a much wider range of primary sources than the standard
introductions. It provides a context for understanding Calvin not from secondary literature about the later middle ages and Renaissance, but from the writings of Calvin's own contemporaries and the rich sources from which they drew.


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