TY  - BOOK
AU  - Constanda,C.
TI  - Solution techniques for elementary partial differential equations
T2  - Chapman & Hall/CRC mathematics
SN  - 9781439811399
AV  - QA377 .C7629 2010
PY  - 2010///
CY  - Boca Raton
PB  - Chapman & Hall/CRC
KW  - Differential equations, Partial
KW  - Numerical solutions
N1  - Includes bibliographical references and index; -- Contents; 	Foreword; 	Preface to the Second Edition; 	Preface to the First Edition; Chapter 1	Ordinary Differential Equations: Brief Review; 1.1	First-Order Equations; 1.2	Homogeneous Linear Equations with Constant Coefficients; 1.3	Nonhomogeneous Linear Equations with Constant Coefficients; 1.4	Cauchy-Euler Equations; 1.5	Functions and Operators; 	Exercises; Chapter 2	Fourier Series; 2.1	The Full Fourier Series; 2.2	Fourier Sine Series; 2.3	Fourier Cosine Series; 2.4	Convergence and Differentiation; 	Exercises; Chapter 3	Sturm---Liouville Problems; 3.1	Regular Sturm---Liouville Problems; 3.2	Other Problems; 3.3	Bessel Functions; 3.4	Legendre Polynomials; 3.5	Spherical Harmonics; 	Exercises; Chapter 4	Some Fundamental Equations of Mathematical Physics; 4.1	The Heat Equation; 4.2	The Laplace Equation; 4.3	The Wave Equation; 4.4	Other Equations; 	Exercises; Chapter 5	The Method of Separation of Variables; 5.1	The Heat Equation; 5.2	The Wave Equation; 5.3	The Laplace Equation; 5.4	Other Equations; 5.5	Equations with More than Two Variables; 	Exercises; Chapter 6	Linear Nonhomogeneous Problems; 6.1	Equilibrium Solutions; 6.2	Nonhomogeneous Problems; 	Exercises; Chapter 7	The Method of Eigenfunction Expansion; 7.1	The Heat Equation; 7.2	The Wave Equation; 7.3	The Laplace Equation; 7.4	Other Equations; 	Exercises; Chapter 8	The Fourier Transformations; 8.1	The Full Fourier Transformation; 8.2	The Fourier Sine and Cosine Transformations; 8.3	Other Applications; 	Exercises; Chapter 9	The Laplace Transformation; 9.1	Definition and Properties; 9.2	Applications; 	Exercises; Chapter 10	The Method of Green's Functions; 10.1	The Heat Equation; 10.2	The Laplace Equation; 10.3	The Wave Equation; 	Exercises; Chapter 11	General Second-Order Linear Partial Differential Equations with Two Independent Variables; 11.1	The Canonical Form; 11.2	Hyperbolic Equations; 11.3	Parabolic Equations; 11.4	Elliptic Equations; 	Exercises; Chapter 12	The Method of Characteristics; 12.1	First-Order Linear Equations; 12.2	First-Order Quasilinear Equations; 12.3	The One-Dimensional Wave Equation; 12.4	Other Hyperbolic Equations; 	Exercises; Chapter 13	Perturbation and Asymptotic Methods; 13.1	Asymptotic Series; 13.2	Regular Perturbation Problems; 13.3	Singular Perturbation Problems; 	Exercises; Chapter 14	Complex Variable Methods; 14.1	Elliptic Equations; 14.2	Systems of Equations; 	Exercises; 	Answers to Odd-Numbered Exercises; 	Appendix; 	Bibliography; 	Index
ER  -