Partial differential equations and boundary value problems
著者
書誌事項
Partial differential equations and boundary value problems
Prentice Hall, c2000
大学図書館所蔵 全5件
注記
Includes bibliographical references (p. [562]-565) and index
内容説明・目次
内容説明
For introductory courses in PDEs taken by majors in engineering, physics, and mathematics.
Packed with examples, this text provides a smooth transition from a course in elementary ordinary differential equations to more advanced concepts in a first course in partial differential equations. Asmar's relaxed style and emphasis on applications make the material understandable even for students with limited exposure to topics beyond calculus. This computer-friendly text encourages the use of computer resources for illustrating results and applications, but it is also suitable for use without computer access. Additional specialized topics are included that are covered independently of each other and can be covered by instructors as desired.
目次
1. A Preview of Applications and Techniques.
2. Fourier Series.
Supplement on Convergence.
3. Partial Differential Equations in Rectangular Coordinates.
4. Partial Differential Equations in Polar and Cylindrical Coordinates.
Supplement on Bessel Functions.
5. Partial Differential Equations in Spherical Coordinates.
Supplement on Legendre Functions.
6. Sturm-Liouville Theory with Engineering Applications.
7. The Fourier Transform and its Applications.
8. The Laplace and Hankel Transforms with Applications.
9. Finite Difference Numerical Methods.
10. Sampling and Discrete Fourier Analysis with Applications to Partial Differential Equations.
11. An Introduction to Quantum Mechanics.
Supplement on Orthogonal Polynomials.
Appendix A: Ordinary Differential Equations: Review of Concepts and Methods.
Appendix B: Tables of Transforms.
References.
Answers to Selected Exercises.
Index.
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