Introduction to Partial Differential Equations: From Fourier Series to Boundary-Value Problems (Dover Books on Mathematics)
| Author | : | |
| Rating | : | 4.78 (781 Votes) |
| Asin | : | 048666158X |
| Format Type | : | paperback |
| Number of Pages | : | 192 Pages |
| Publish Date | : | 2014-07-20 |
| Language | : | English |
DESCRIPTION:
Little Book, Big Impact This book may be small, but don't judge it by its size. "Introduction to Partial Differential Equations" has all the major topics covered in an intro to partial diffE course. One problem the book has is that it is not thorough enough. However, this book makes a great pocket reference. Instead of lugging a heavier . "pratical book" according to Nelson. So good for students who need a fast review about subject.IT is much clearly, developing ours ideas as soon as we going read it.
The Riemann-Lebesgue theorem1.4 Convergence of Fourier series1.5 The Parseval formula1.6 Determination of the sum of certain trigonometric seriesChapter 2. The zeros of the Bessel functions6.6 Bessel series6.7 The generating function of the Bessel functions of integral order6.8 Neumann functionsChapter 7. Bessel functions6.1 The gamma function6.2 The Bessel differential equation. Bessel functions6.3 Some particular Bessel functions6.4 Recursion formulas for the Bessel functions6.5 Estimation of Bessel functions for large values of x. Fourier transforms4.5 The convention theorem. The text is self-contained with respect to such analysis; however, in areas where the author relies on results from branches of mathematics outside the scope of this book, references to widely used books are given.Table of Contents:Chapter 1. Over 260 carefully chosen exercises, with answers, encompass both routing and more challenging problems to help students test their grasp of the material.. This exceptionally well-written and well-organized text is the outgrowth of a course given every year for 45 years at the Chalmers University of Technology, Goteborg, Sweden. The convolution theorem5.4 Applications to ordinary differential equationsChapter 6. Partial differential equations of first order7.1 Introduction7.2 The differential equation of a family of surfaces7.3 Homogeneous differential equat