It takes the average reader 4 hours and 36 minutes to read Surveys in Applied Mathematics by Joseph B. Keller
Assuming a reading speed of 250 words per minute. Learn more
Partial differential equations play a central role in many branches of science and engineering. Therefore it is important to solve problems involving them. One aspect of solving a partial differential equation problem is to show that it is well-posed, i. e. , that it has one and only one solution, and that the solution depends continuously on the data of the problem. Another aspect is to obtain detailed quantitative information about the solution. The traditional method for doing this was to find a representation of the solution as a series or integral of known special functions, and then to evaluate the series or integral by numerical or by asymptotic methods. The shortcoming of this method is that there are relatively few problems for which such representations can be found. Consequently, the traditional method has been replaced by methods for direct solution of problems either numerically or asymptotically. This article is devoted to a particular method, called the "ray method," for the asymptotic solution of problems for linear partial differential equations governing wave propagation. These equations involve a parameter, such as the wavelength. . \, which is small compared to all other lengths in the problem. The ray method is used to construct an asymptotic expansion of the solution which is valid near . . \ = 0, or equivalently for k = 21r I A near infinity.
Surveys in Applied Mathematics by Joseph B. Keller is 273 pages long, and a total of 69,069 words.
This makes it 92% the length of the average book. It also has 84% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 6 hours and 17 minutes to read Surveys in Applied Mathematics aloud.
Surveys in Applied Mathematics is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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