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 9.3, Problem 18P

Find the geodesics on a sphere. Hints: Use spherical coordinates with constant r = a . Choose your integration variable so that you can write a first integral of the Euler equation. For the second integration, make the change of variable w = cot θ To recognize your result as a great circle, find, in terms of spherical coordinates θ and ϕ , the equation of intersection of the sphere with a plane through the origin.

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Chapter 9.3, Problem 17P

Chapter 9.4, Problem 1P

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Chapter 9 Solutions

Mathematical Methods in the Physical Sciences

Ch. 9.1 - The speed of light in a medium of index of...Ch. 9.1 - The speed of light in a medium of index of...Ch. 9.1 - The speed of light in a medium of index of...Ch. 9.2 - Write and solve the Euler equations to make the...Ch. 9.2 - Write and solve the Euler equations to make the...Ch. 9.2 - Write and solve the Euler equations to make the...Ch. 9.2 - Write and solve the Euler equations to make the...Ch. 9.2 - Write and solve the Euler equations to make the...Ch. 9.2 - Write and solve the Euler equations to make the...Ch. 9.2 - Write and solve the Euler equations to make the...

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