Exercises, Hints and Selected Solutions

Scheck, Florian

doi:10.1007/978-3-319-40049-5_6

Florian Scheck¹²

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Abstract

1.1. Prove the formula (1.8a) in Sect. 1.3,

$$\displaystyle{ \int \mathrm{d}^{n}x\; =\int _{ 0}^{+\infty }\!\!\!\mathrm{d}r\;r^{n-1}\int _{ 0}^{2\pi }\!\!\!\mathrm{d}\phi \prod _{ k=1}^{n-2}\int _{ 0}^{\pi }\!\!\!\mathrm{d}\theta _{ k}\sin ^{k}(\theta _{ k}) }$$

(1.1)

by means of induction.

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Institut für Physik, Universität Mainz, Mainz, Germany
Florian Scheck

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Scheck, F. (2016). Exercises, Hints and Selected Solutions. In: Statistical Theory of Heat. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-40049-5_6

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DOI: https://doi.org/10.1007/978-3-319-40049-5_6
Published: 16 November 2016
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-40047-1
Online ISBN: 978-3-319-40049-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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