The Doctrine of Germs (Classic Reprint): Or the Integration of Certain Partial Differential Equations Which Occur in Mathematical Physics: Or the ... in Mathematical Physics (Classic Reprint) - Brossura
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Excerpt from The Doctrine of Germs
In Chap. III. Is introduced a theory of Symbolical Equivalences. The subject is regarded from a point of view which may be considered as in some degree new. The exigencies of this Essay did not seem likely to require the complete development of this Theory; and in consequence of this only so much detail is given as was likely to he wanted in subsequent chapters. The Theory is capable of throwing light on several troublesome known paradoxes which have often been a source of perplexity to the Mathematical Student. As the author was induced to undertake the development of the Doctrine of Germs by a desire to accomplish the complete integration of Laplace's Equation, and the consequent discovery of the general form of Laplace's Functions, he has deemed it to be of some possible advantage to obtain and to exhibit those results in several forms and aspects; hoping also that by this diversity the reader would be the more disposed to accept results which so confirm one another.
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The Doctrine of Germs (Classic Reprint)
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Paperback. Condizione: New. Print on Demand. This book is a mathematical treatise on the integration of linear partial differential equations. The author's aim is to demonstrate a versatile and effective method that incorporates germs. Germs are a unique kind of variable introduced into the integral, enhancing its generality and allowing for a broader range of solutions. The book delves into various aspects of the subject, including the properties of germs, their application in transforming and simplifying integrals, and their role in uncovering symbolical equivalencies, thereby enriching the understanding of differential equations. The author places particular emphasis on the identification of subintegrals, demonstrating how they form the basis for constructing general integral solutions. By providing a thorough analysis of the subject and presenting a novel method that unlocks integral solutions of greater complexity, this book serves as an invaluable resource for mathematicians and students seeking to advance their knowledge in the field. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781330101124_0
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The Doctrine of Germs: Or the Integration of Certain Partial Differential Equations Which Occur in Mathematical Physics (Classic Reprint)
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Paperback. Condizione: Brand New. 124 pages. 9.02x5.98x0.26 inches. This item is printed on demand. Codice articolo zk133010112X
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The Doctrine of Germs : Or the Integration of Certain Partial Differential Equations Which Occur in Mathematical Physics (Classic Reprint)
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ISBN 10: 133010112X
ISBN 13: 9781330101124
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