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E-book
Author Freiling, G.

Title Lectures on the differential equations of mathematical physics : a first course / G. Freiling and V. Yurko
Published New York : Nova Science Publishers, [2008]
©2008
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Description 1 online resource (viii, 304 pages) : illustrations
Contents ""Contents""; ""Preface""; ""Introduction""; ""1.1. Some Examples of Equations of Mathematical Physics""; ""1.2. Classification of Second-Order Partial Differential Equations""; ""1.3. Formulation of Problems of Mathematical Physics""; ""Hyperbolic Partial Differential Equations""; ""2.1. The Cauchy Problem for the Equation of the Vibrating String""; ""2.2. The Mixed Problem for the Equation of the Vibrating String""; ""2.3. The Goursat Problem""; ""2.4. The Riemann Method""; ""2.5. The Cauchy Problem for the Wave Equation""; ""2.6. An Inverse Problem for the WaveEquation""
""2.7. Inverse Spectral Problems""""2.8. Inverse Scattering on the Line""; ""2.9. The Cauchy Problem for the Korteweg -- De Vries Equation""; ""Parabolic Partial Differential Equations""; ""3.1. The Mixed Problem for the Heat Equation""; ""3.2. The Cauchy Problem for the Heat Equation""; ""Elliptic Partial Differential Equations""; ""4.1. Harmonic Functions and Their Properties""; ""4.2. Dirichlet and Neumann Problems""; ""4.3. The Green�s Function Method""; ""4.4. The Method of Upper and Lower Functions""; ""4.5. The Dirichlet Problem for the Poisson Equation""
""4.6. The Method of Integral Equations""""4.7. The Variational Method""; ""The Cauchy-Kowalevsky Theorem""; ""Exercises""; ""6.1. Classification of Second-Order Partial Differential Equations""; ""6.2. Hyperbolic Partial Differential Equations""; ""6.3. Parabolic Partial Differential Equations""; ""6.4. Elliptic Partial Differential Equations""; ""6.5. Answers and Hints""; ""References""; ""Index""
Bibliography Includes bibliographical references (pages 297-299) and index
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Subject Differential equations.
Mathematical physics.
Form Electronic book
Author Yurko, V. A.
LC no. 2008030492
ISBN 1607419076 (electronic bk.)
9781607419075 (electronic bk.)