Автор: Poston, Tim Название: Catastrophe Theory and Its Applications ISBN: 048669271X ISBN-13(EAN): 9780486692715 Издательство: Dover Рейтинг: Цена: 4014 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This first integrated treatment of the main ideas behind Rene Thom's theory of catastrophes aims to make them accessible to scientists wishing to apply the theory in their own fields of research. The mathematical basis of the theory is therefore explained with a minimum of technicalities, although some knowledge of the calculus of variables is assumed. Thom's now-famous list of seven elementary catastrophes, broadly classifying various types of discontinuous change, is elucidated, as are the reasons for its appearance. Nearly half the book concentrates on detailed applications of the theory, emphasizing its uses in the physical sciences where applications can be made quantitative and can be experimentally verified. The more controversial and speculative applications to areas in the social sciences are also mentioned, but not discussed in detail. Over 200 illustrations help clarify the ideas and applications in this volume, which will be of interest to researchers and postgraduate students in such diverse disciplines as engineering, mathematics, physics, and biology. 1978 edition. Bibliography."
Автор: Brown Frank Markham Название: Boolean Reasoning: The Logic of Boolean Equations ISBN: 0486427854 ISBN-13(EAN): 9780486427850 Издательство: Dover Рейтинг: Цена: 2272 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
A systematic treatment of Boolean reasoning, this concise, newly revised edition combines the works of early logicians with recent investigations, including previously unpublished research results. For the benefit of readers without formal training in mathematics, the text starts with an overview of elementary mathematical concepts and outlines the theory of Boolean algebras, based on Huntington's postulate. It defines operators for elimination, division, and expansion, providing a coherent and systematic basis for subsequent discussions of syllogistic reasoning, the solution of Boolean equations, and functional deduction. Examples and end-of-chapter problems appear throughout the book, many taken from the design for switching systems. Two concluding chapters deal with applications; one applies Boolean reasoning to diagnostic problems, and the other discusses the design of multiple-output logic-circuits.
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