Synopsis
This book concerns the Riemann function of the Cauchy problem for linear hyperbolic systems of first-order equations with n independent variables. The study of these equations is significant since any solution to the Cauchy problem can be represented in terms of the Riemann function, giving key knowledge on how solutions in the present depend on their initial data. The author investigates the Riemann function's singularities to determine the structure of this dependence, deriving formulas for different types of equations and singularities. The author also provides geometrical interpretations of their results, relating them to the geometry of the normal surface and ray conoid, and deriving insights that help predict singularities of the Riemann function. The work advances an understanding of the Cauchy problem for linear hyperbolic systems and provides a foundation for developing more effective wave propagation models.
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The Singularities of the Riemann Function: January 1, 1961 (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book concerns the Riemann function of the Cauchy problem for linear hyperbolic systems of first-order equations with n independent variables. The study of these equations is significant since any solution to the Cauchy problem can be represented in terms of the Riemann function, giving key knowledge on how solutions in the present depend on their initial data. The author investigates the Riemann function's singularities to determine the structure of this dependence, deriving formulas for different types of equations and singularities. The author also provides geometrical interpretations of their results, relating them to the geometry of the normal surface and ray conoid, and deriving insights that help predict singularities of the Riemann function. The work advances an understanding of the Cauchy problem for linear hyperbolic systems and provides a foundation for developing more effective wave propagation models. 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 # 9781330152270_0
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The Singularities of the Riemann Function January 1, 1961 Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330152270
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