Abstract
One of the main goals of mathematical analysis, besides applications in physics, is to compute the measure of sets (arc length, area, surface area, and volume).
This is a preview of subscription content, log in via an institution to check access.
Notes
- 1.
Camille Jordan (1838–1922), French mathematician.
- 2.
By an isometry we mean a distance preserving bijection from \(\mathbb {R}^p\) onto itself (see page 115).
- 3.
Wacław Sierpiński (1882–1969), Polish mathematician.
- 4.
James Stirling (1692–1770), Scottish mathematician.
- 5.
Stirling’s formula is the statement \(n! \sim (n/e)^n \cdot \sqrt{2\pi n}\) \((n\rightarrow \infty )\). See [7, Theorem 15.15].
- 6.
This needs some consideration, see Exercise 3.37.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer Science+Business Media LLC
About this chapter
Cite this chapter
Laczkovich, M., Sós, V.T. (2017). The Jordan Measure. In: Real Analysis. Undergraduate Texts in Mathematics, vol 3. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-7369-9_3
Download citation
DOI: https://doi.org/10.1007/978-1-4939-7369-9_3
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-7367-5
Online ISBN: 978-1-4939-7369-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)