Essays about: "Fundamental theorem of calculus"

Found 2 essays containing the words Fundamental theorem of calculus.

1. 1. The Henstock–Kurzweil Integral

   University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

   Author : Manolis David; [2020]
   Keywords : Henstock–Kurzweil integral; generalized Riemann integral; gauge integral; Denjoy–Perron integral; narrow Denjoy integral; Perron integral; non-absolute integration; Lebesgue outer measure; absolute integrability; fundamental theorem of calculus; convergence theorems; single variable calculus;

   Abstract : Since the introduction of the Riemann integral in the middle of the nineteenth century, integration theory has been subject to significant breakthroughs on a relatively frequent basis. We have now reached a point where integration theory has been thoroughly researched to a point where one has to delve quite deep into a particular subject in order to encounter open conjectures. READ MORE

3. 2. On the fundamental theorem of calculus

   University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

   Author : Jesper Singh; [2015]
   Keywords : Fundamental theorem of calculus; Gauge integral; Riemann integral;

   Abstract : The Riemann integral has many flaws, some that becomes visible in the fundamental theorem of calculus. The main point of this essay is to introduce the gauge integral, and prove a much more suitable version of that theorem. .. READ MORE