Abstract
This chapter is an introduction to measure and integration on abstract spaces. The treatment is driven by the needs of modern analysis and probability. The result is a robust concept of integration that extends the concepts familiar in calculus.
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- 1.
For \(a,b \in \bar{ \mathbb{R}}\) we write a ∨ b for the maximum of a and b, and a ∧ b for the minimum. The notation extends to functions: f ∨ g is the function whose value at x is f(x) ∨ g(x); similarly for f ∧ g.
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© 2013 Springer Science+Business Media New York
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Çınlar, E., Vanderbei, R.J. (2013). Measure and Integration. In: Real and Convex Analysis. Undergraduate Texts in Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-5257-7_7
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DOI: https://doi.org/10.1007/978-1-4614-5257-7_7
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Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4614-5256-0
Online ISBN: 978-1-4614-5257-7
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