Abstract
Along this chapter, we denote by I a compact interval of the real line \({{\mathbb R}}\), i.e., an interval of the type [a, b].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The following definition is due to J. Kurzweil and R. Henstock: see Appendix E for a historical overview.
- 2.
Here and in the following we use in an intuitive way the algebraic operations involving sets. To be precise, the sum of two sets A and B is defined as
$$\displaystyle \begin{aligned} A+B=\{a+b:a\in A,\,b\in B\}\,. \end{aligned}$$ - 3.
By “elementary formula” I mean here an analytic formula where only polynomials, exponentials, logarithms and trigonometric functions appear.
References
R.G. Bartle, A Modern Theory of Integration, American Mathematical Society, Providence, 2001.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Fonda, A. (2018). Functions of One Real Variable. In: The Kurzweil-Henstock Integral for Undergraduates . Compact Textbooks in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-95321-2_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-95321-2_1
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-95320-5
Online ISBN: 978-3-319-95321-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)