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Partial Differential Equations: Sources and Solutions

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Partial Differential Equations: Sources and Solutions Cover

 

Synopses & Reviews

Publisher Comments:

Newly updated by the author, this text explores the solution of partial differential equations by separating variables, rather than by conducting qualitative theoretical analyses of their properties. These qualitative features--uniqueness, existence, elegance of composition, and convergence modes--are substantiated by physical reasoning, rather than rigorous arguments. Geared toward applied mathematicians, physicists, engineers, and others seeking explicit solutions, the book offers heuristic justifications for each construction.

The first three chapters review the necessary tools for understanding the separation of variables technique: basics of ordinary differential equations, Frobenius-series construction and properties of Bessel functions, and Fourier analysis. Subsequent chapters explore the exposition of the algorithmic nature of the separation of variables process, based on a sequence of steps that infallibly leads to the solution expansion, regardless of the nature of the boundary conditions.

Synopsis:

This newly updated text explores the solution of partial differential equations by separating variables, rather than by qualitative theoretical analyses of their properties. It reviews the necessary tools for understanding the separation of variables technique, and it examines the algorithmic nature of the separation of variables process. 1999 edition.

Product Details

ISBN:
9780486453408
Author:
Snider, Arthur David
Publisher:
Dover Publications
Author:
Mathematics
Subject:
Differential Equations - Partial Differential Equations
Subject:
General Mathematics
Subject:
Differential Equations
Subject:
General-General
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20061131
Binding:
TRADE PAPER
Grade Level:
General/trade
Language:
English
Illustrations:
Y
Pages:
672
Dimensions:
11 x 8.38 in 2.97 lb

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Related Subjects


Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » General
Science and Mathematics » Physics » General

Partial Differential Equations: Sources and Solutions New Trade Paper
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$34.95 In Stock
Product details 672 pages Dover Publications - English 9780486453408 Reviews:
"Synopsis" by ,
This newly updated text explores the solution of partial differential equations by separating variables, rather than by qualitative theoretical analyses of their properties. It reviews the necessary tools for understanding the separation of variables technique, and it examines the algorithmic nature of the separation of variables process. 1999 edition.

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