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) - Softcover
Synopsis
Explore a rigorous approach to solving complex differential equations in mathematical physics. This work reveals how certain equations can be integrated in a general, systematic way using the concept of minor germs and symbolic methods.
This edition presents a practical framework for transforming and solving linear differential equations with multiple independent variables. Readers will see how one known integral can unlock the rest, how infinite series and symbolical equivalents express complete general integrals, and how to manage cases with variable coefficients and multiple variables.
- Clear strategies for obtaining complete general integrals from partial information
- Techniques that use minor germs to extend the reach of integration methods
- Step-by-step guidance on representing solutions as infinite series in multiple variables
- Examples that connect symbolic practice with concrete integral forms
Ideal for readers of advanced differential equations, mathematical physics, and the theory of integrals who seek a rigorous, methodical approach.
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Paperback. Condition: 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. Seller Inventory # 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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ISBN 10: 133010112X
ISBN 13: 9781330101124
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