Mathematical Methods in the Physical Sciences

3rd Edition

ISBN: 9780471198260

Author: Mary L. Boas

Publisher: Wiley, John & Sons, Incorporated

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Textbook Question

Chapter 14.9, Problem 2P

For each of the following functions w = f ( z ) = u + i v , find u and v as functions of x and y. Sketch the graphs in the ( x , y ) plane of the images of u = const. and v = const. for several values of u and several values of v as was done for w = z 2 in Figure 9.3. The curves u = const. should be orthogonal to the curves v = const.

w = z + 1 2 i

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Chapter 14.9, Problem 1P

Chapter 14.9, Problem 3P

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Mathematical Methods in the Physical Sciences

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