How Long to Read Orthogonal Polynomials

By Walter Gautschi

How Long Does it Take to Read Orthogonal Polynomials?

It takes the average reader 5 hours and 2 minutes to read Orthogonal Polynomials by Walter Gautschi

Assuming a reading speed of 250 words per minute. Learn more

Description

This is the first book on constructive methods for, and applications of orthogonal polynomials, and the first available collection of relevant Matlab codes. The book begins with a concise introduction to the theory of polynomials orthogonal on the real line (or a portion thereof), relative to a positive measure of integration. Topics which are particularly relevant to computation are emphasized. The second chapter develops computational methods for generating the coefficients in the basic three-term recurrence relation. The methods are of two kinds: moment-based methods and discretization methods. The former are provided with a detailed sensitivity analysis. Other topics addressed concern Cauchy integrals of orthogonal polynomials and their computation, a new discussion of modification algorithms, and the generation of Sobolev orthogonal polynomials. The final chapter deals with selected applications: the numerical evaluation of integrals, especially by Gauss-type quadrature methods, polynomial least squares approximation, moment-preserving spline approximation, and the summation of slowly convergent series. Detailed historic and bibliographic notes are appended to each chapter. The book will be of interest not only to mathematicians and numerical analysts, but also to a wide clientele of scientists and engineers who perceive a need for applying orthogonal polynomials.

How long is Orthogonal Polynomials?

Orthogonal Polynomials by Walter Gautschi is 301 pages long, and a total of 75,551 words.

This makes it 102% the length of the average book. It also has 92% more words than the average book.

How Long Does it Take to Read Orthogonal Polynomials Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 52 minutes to read Orthogonal Polynomials aloud.

What Reading Level is Orthogonal Polynomials?

Orthogonal Polynomials 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.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Orthogonal Polynomials?

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