Plane Waves and Spherical Means Applied to Partial Differential Equations (Dover Books on Mathematics)
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Plane Waves and Spherical Means Applied to Partial Differential Equ...
Book Details
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Author: Fritz John
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Brand: Dover
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Binding: Paperback
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ISBN: 9780486438047
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Pages: 176
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Cover: Paperback
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Dimensions: 8.3 x 5.4 x 0.4 inches
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Language: English
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Release Date: 26-07-2004
About The Book
Partial Differential Equations by Fritz John is an elementary and self-contained text offering a comprehensive collection of results on partial differential equations (PDEs). This accessible book is ideal for students and professionals looking to explore PDEs from a fundamental perspective.
The book makes use of elementary identities for plane and spherical integrals of an arbitrary function to derive results that apply to a broad range of differential equations. With this approach, the author demonstrates how a variety of results on fairly general differential equations can be derived from these identities.
Key topics include:
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Decomposition of arbitrary functions into functions like plane waves, which are the foundation of later chapters.
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The introduction of the Radon transformation and its application to solving the initial value problem for homogeneous hyperbolic equations with constant coefficients.
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The problem of determining a function from its integrals over spheres of radius 1.
This edition is based on the 1955 edition, making it an essential reference for anyone interested in the theoretical aspects of partial differential equations and their applications.
Key Features:
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A clear and elementary introduction to partial differential equations.
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In-depth coverage of fundamental concepts like plane wave decomposition and Radon transformation.
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Solutions to key problems like homogeneous hyperbolic equations and integral representations of functions.
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Ideal for both students and professionals in mathematics and engineering.
This Dover edition offers a precise and easy-to-follow exploration of PDEs, perfect for gaining a solid understanding of these core mathematical concepts.
