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.
Jumps right into PDEsReview material of ODEs
is in Appendix A.
Applied approach with proofs in Appendices. Large number of exercises per sectionThe more
advanced ones include detailed hints to make them accessible to all
students at this level.
Each set begins with a series of straightforward problems
that reinforce basic concepts in that section; later exercises are
more involved and lead to a deeper understanding of the concepts.
The most computer-friendly PDE text on the marketAsks
students to investigate problems using computer-generated graphics
and to generate numerical data that cannot be computed by hand.
Helps students visualize and understand even the most
abstract notions covered in the course.
Marginal comments and remarks throughout the textOffers
insightful remarks, keys to following the material, and formulas recalled
for the students' convenience.
Mathematica filesAvailable for download from
the author's websiteLinks through Prentice Hall address www.prenhall.com/pubguide/
Includes material not covered in other textse.g.
a chapter on quantum mechanics.
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
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.
Answers to Selected Exercises.