Mathematical Methods in the Physical Sciences

3rd Edition

ISBN: 9780471198260

Author: Mary L. Boas

Publisher: Wiley, John & Sons, Incorporated

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Textbook Question

Chapter 14.9, Problem 12P

If w = f ( z ) = u ( x , y ) + i v ( x , y ) , f ( z ) analytic, defines a transformation from the variables x, y to the variables u, v, show that the Jacobian of the transformation (Chapter 5, Section 4) is ∂ ( u , v ) / ∂ ( x , y ) = f ′ ( z ) 2 . Hint: To simplify the determinant, use the Cauchy-Riemann equations and the equations (Section 2 ) used in obtaining them.

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Chapter 14.9, Problem 11P

Chapter 14.9, Problem 13P

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Chapter 14 Solutions

Mathematical Methods in the Physical Sciences

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