Linear partial differential equations for scientists and engineers / Tyn Myint-U and Lokenath Debnath.

By:

Myint-U, Tyn

Contributor(s):

Debnath, Lokenath

Material type: Text

TextPublication details: Boston : Birkhauser, c2007.Edition: 4th edDescription: xxii, 778 p. : ill. ; 24 cmISBN:

9788184890792

Subject(s):

Partial differential equations

DDC classification:

515.353 23 M996

Contents:

1. Introduction-- 2. First-order, quasi-linear equations and method of characteristics-- 3. Mathematical Models-- 4. Classification of Second-Order Linear Equations-- 5. The Cauchy Problem and Wave Equations-- 6. Fourier Series and Integrals with Applications-- 7. Method of Separation of Variables-- 8. Eigenvalue Problems and Special Functions-- 9. Boundary-Value Problems and Applications-- 10. Higher-Dimensional Boundary-Value Problems-- 11. Green's Functions and Boundary-Value Problems-- 12. Integral Transform Methods with Applications-- 13. Nonlinear Partial Differential Equations with Applications-- 14. Numerical and Approximation Methods-- 15. Tables of Integral Transforms-- 16. Answers and Hints to Selected Exercises-- Appendix: Some Special Functions and Their Properties-- Bibliography-- Index.

Summary: This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs.

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Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Books	ISI Library, Kolkata	515.353 M996 (Browse shelf(Opens below))	Available		C26368

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Fifth Indian reprint 2014.

Includes bibliographical references (p. [761]-770) and index.

1. Introduction--
2. First-order, quasi-linear equations and method of characteristics--
3. Mathematical Models--
4. Classification of Second-Order Linear Equations--
5. The Cauchy Problem and Wave Equations--
6. Fourier Series and Integrals with Applications--
7. Method of Separation of Variables--
8. Eigenvalue Problems and Special Functions--
9. Boundary-Value Problems and Applications--
10. Higher-Dimensional Boundary-Value Problems--
11. Green's Functions and Boundary-Value Problems--
12. Integral Transform Methods with Applications--
13. Nonlinear Partial Differential Equations with Applications-- 14. Numerical and Approximation Methods--
15. Tables of Integral Transforms--
16. Answers and Hints to Selected Exercises--
Appendix: Some Special Functions and Their Properties-- Bibliography--
Index.

This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs.

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