Transcription of Chapter 7 Riemann-Stieltjes Integration
{{id}} {{{paragraph}}}
Example: dental hygienist
Chapter 7 Riemann-Stieltjes Integration
Chapter 7 Riemann-Stieltjes IntegrationCalculus provides us with tools to study nicely behaved phenomena using smalldiscrete increments for information collection. The general idea is to (intelligently)connect information obtained from examination of a phenomenon over a lot of tinydiscrete increments of some related quantity to close in on or approximate some-thing that behaves in a controlled ( , bounded, continuous, etc.) way. The clos-ing in on approach is useful only if we can get back to information concerning thephenomena that was originally under study. The bene t of this approach is mostbeautifully illustrated with the elementary theory of integral calculus us to adapt some limiting formulas that relate quantities of physical interestto study more realistic situations involving the three formulas that are encountered frequently in m
278 CHAPTER 7. RIEMANN-STIELTJES INTEGRATION If f is a function whose domain contains the closed interval I and f is bounded on the interval I, we know that f has both a least upper bound and a greatest lower bound on I as well as on each interval of any subdivision of I. De¿nition 7.1.3 Given a function f that is bounded and de¿nedontheinterval
Loading..
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: