How Long to Read The Location of Critical Points of Analytic and Harmonic Functions

How Long Does it Take to Read The Location of Critical Points of Analytic and Harmonic Functions?

It takes the average reader 6 hours and 40 minutes to read The Location of Critical Points of Analytic and Harmonic Functions by Joseph Leonard Walsh

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

Description

This book is concerned with the critical points of analytic and harmonic functions. A critical point of an analytic function means a zero of its derivative, and a critical point of a harmonic function means a point where both partial derivatives vanish. The analytic functions considered are largely polynomials, rational functions, and certain periodic, entire, and meromorphic functions. The harmonic functions considered are largely Green's functions, harmonic measures, and various linear combinations of them. The interest in these functions centers around the approximate location of their critical points. The approximation is in the sense of determining minimal regions in which all the critical points lie or maximal regions in which no critical point lies. Throughout the book the author uses the single method of regarding the critical points as equilibrium points in fields of force due to suitable distribution of matter. The exposition is clear, complete, and well-illustrated with many examples.

How long is The Location of Critical Points of Analytic and Harmonic Functions?

The Location of Critical Points of Analytic and Harmonic Functions by Joseph Leonard Walsh is 394 pages long, and a total of 100,076 words.

This makes it 133% the length of the average book. It also has 122% more words than the average book.

How Long Does it Take to Read The Location of Critical Points of Analytic and Harmonic Functions Aloud?

The average oral reading speed is 183 words per minute. This means it takes 9 hours and 6 minutes to read The Location of Critical Points of Analytic and Harmonic Functions aloud.

What Reading Level is The Location of Critical Points of Analytic and Harmonic Functions?

The Location of Critical Points of Analytic and Harmonic Functions 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 The Location of Critical Points of Analytic and Harmonic Functions?

The Location of Critical Points of Analytic and Harmonic Functions by Joseph Leonard Walsh is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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