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Conflicts Between Generalization, Rigor, and Intuition, Gert Schubring


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Автор: Gert Schubring
Название:  Conflicts Between Generalization, Rigor, and Intuition
ISBN: 9781441919878
Издательство: Springer
Классификация:


ISBN-10: 1441919872
Обложка/Формат: Paperback
Страницы: 680
Вес: 1.04 кг.
Дата издания: 2005
Серия: Sources and Studies in the History of Mathematics and Physical Sciences
Язык: English
Издание: Softcover reprint of
Иллюстрации: 22 black & white illustrations, biography
Размер: 234 x 156 x 35
Читательская аудитория: Professional & vocational
Подзаголовок: Number concepts underlying the development of analysis in 17th-19th century france and germany
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This volume is, as may be readily apparent, the fruit of many years labor in archives and libraries, unearthing rare books, researching Nachlasse, and above all, systematic comparative analysis of fecund sources. The work not only demanded much time in preparation, but was also interrupted by other duties, such as time spent as a guest professor at universities abroad, which of course provided welcome opportunities to present and discuss the work, and in particular, the organizing of the 1994 International Gramann Conference and the subsequent editing of its proceedings. If it is not possible to be precise about the amount of time spent on this work, it is possible to be precise about the date of its inception. In 1984, during research in the archive of the Ecole polytechnique, my attention was drawn to the way in which the massive rupture that took place in 1811--precipitating the change back to the synthetic method and replacing the limit method by the method of the quantites infiniment petites--significantly altered the teaching of analysis at this first modern institution of higher education, an institution originally founded as a citadel of the analytic method.


A Theory of Learning and Generalization: With Applications to Neural Networks and Control Systems

Название: A Theory of Learning and Generalization: With Applications to Neural Networks and Control Systems
ISBN: 1849968675 ISBN-13(EAN): 9781849968676
Издательство: Springer
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Цена: 23508.00 р.
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Описание: How does a machine learn a new concept on the basis of examples? This second edition takes account of important new developments in the field. It also deals extensively with the theory of learning control systems, now comparably mature to learning of neural networks.

Generalizations Of Finite Metrics And Cuts

Автор: Deza Michel Marie Et Al
Название: Generalizations Of Finite Metrics And Cuts
ISBN: 981474039X ISBN-13(EAN): 9789814740395
Издательство: World Scientific Publishing
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Цена: 16790.00 р.
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Описание: This book introduces oriented version of metrics and cuts and their multidimensional analogues, as well as partial metrics and weighted metrics.

Generalizations of Fuzzy Information Measures

Автор: Anshu Ohlan; Ramphul Ohlan
Название: Generalizations of Fuzzy Information Measures
ISBN: 3319459279 ISBN-13(EAN): 9783319459271
Издательство: Springer
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Цена: 10760.00 р.
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Описание: This book develops applications of novel generalizations of fuzzy information measures in the field of pattern recognition, medical diagnosis, multi-criteria and multi-attribute decision making and suitability in linguistic variables. The focus of this presentation lies on introducing consistently strong and efficient generalizations of information and information-theoretic divergence measures in fuzzy and intuitionistic fuzzy environment covering different practical examples. The target audience comprises primarily researchers and practitioners in the involved fields but the book may also be beneficial for graduate students.

Intuition and the Axiomatic Method

Автор: Emily Carson; Renate Huber
Название: Intuition and the Axiomatic Method
ISBN: 9048170192 ISBN-13(EAN): 9789048170197
Издательство: Springer
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Цена: 27251.00 р.
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Описание: Following developments in modern geometry, logic and physics, many scientists and philosophers in the modern era considered Kant`s theory of intuition to be obsolete.

Module Theory, Extending Modules and Generalizations

Автор: Tercan
Название: Module Theory, Extending Modules and Generalizations
ISBN: 3034809506 ISBN-13(EAN): 9783034809504
Издательство: Springer
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Цена: 15372.00 р.
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Описание: The main focus of this monograph is to offer a comprehensive presentation of known and new results on various generalizations of CS-modules and CS-rings. Extending (or CS) modules are generalizations of injective (and also semisimple or uniform) modules. While the theory of CS-modules is well documented in monographs and textbooks, results on generalized forms of the CS property as well as dual notions are far less present in the literature.With their work the authors provide a solid background to module theory, accessible to anyone familiar with basic abstract algebra. The focus of the book is on direct sums of CS-modules and classes of modules related to CS-modules, such as relative (injective) ejective modules, (quasi) continuous modules, and lifting modules. In particular, matrix CS-rings are studied and clear proofs of fundamental decomposition results on CS-modules over commutative domains are given, thus complementing existing monographs in this area.Open problems round out the work and establish the basis for further developments in the field. The main text is complemented by a wealth of examples and exercises.

Generalizations of Thomae`s Formula for Zn Curves

Автор: Hershel M. Farkas; Shaul Zemel
Название: Generalizations of Thomae`s Formula for Zn Curves
ISBN: 1461427584 ISBN-13(EAN): 9781461427582
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This book provides a comprehensive overview of the theory of theta functions, and the necessary background for understanding and proving the Thomae formulae and their relationship to the Zn curves. The book is intended for graduate students in mathematics studying complex analysis, algebraic geometry, and number theory as well as mathematical physicists and physicists studying conformal field theory.


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