It takes the average reader 3 hours and 55 minutes to read The Schwarz Function and Its Applications by Philip J. Davis
Assuming a reading speed of 250 words per minute. Learn more
H. A. Schwarz showed us how to extend the notion of reflection in straight lines and circles to reflection in an arbitrary analytic arc. Notable applications were made to the symmetry principle and to problems of analytic continuation. Reflection, in the hands of Schwarz, is an antianalytic mapping. By taking its complex conjugate, we arrive at an analytic function that we have called here the Schwarz Function of the analytic arc. This function is worthy of study in its own right and this essay presents such a study. In dealing with certain familiar topics, the use of the Schwarz Function lends a point of view, a clarity and elegance, and a degree of generality which might otherwise be missing. It opens up a line of inquiry which has yielded numerous interesting things in complex variables; it illuminates some functional equations and a variety of iterations which interest the numerical analyst. The perceptive reader will certainly find here some old wine in relabelled bottles. But one of the principles of mathematical growth is that the relabelling process often suggests a new generation of problems. Means become ends; the medium rapidly becomes the message. This book is not wholly self-contained. Readers will find that they should be familiar with the elementary portions of linear algebra and of the theory of functions of a complex variable.
The Schwarz Function and Its Applications by Philip J. Davis is 228 pages long, and a total of 58,824 words.
This makes it 77% the length of the average book. It also has 72% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 21 minutes to read The Schwarz Function and Its Applications aloud.
The Schwarz Function and Its Applications 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.
The Schwarz Function and Its Applications by Philip J. Davis is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.
To buy The Schwarz Function and Its Applications by Philip J. Davis on Amazon click the button below.
Buy The Schwarz Function and Its Applications on Amazon