Essays about: "Riemann integral"

Showing result 6 - 10 of 10 essays containing the words Riemann integral.

  1. 6. 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

  3. 7. The Riemann-Stieltjes integral : and some applications in complex analysis and probability theory

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

    Author : Klara Leffler; [2014]
    Keywords : ;

    Abstract : The purpose of this essay is to prove the existence of the Riemann-Stieltjes integral. After doing so, we present some applications in complex analysis, where we define the complex curve integral as a special case of the Riemann- Stieltjes integral, and then focus on Cauchy’s celebrated integral theorem. READ MORE

  4. 8. Generalized Riemann Integration : Killing Two Birds with One Stone?

    University essay from Matematik och tillämpad matematik; Tekniska högskolan

    Author : David Larsson; [2013]
    Keywords : Measure and integration; Special integrals; Henstock-Kurzweil integral; gauge integral; generalized Riemann integral; Denjoy and Perron integrals; Integrals of Riemann; Stieltjes and Lebesgue type; Antidifferentiation; One-variable calculus; Functions of bounded variation; Functions of several variables; Absolute integrability; Convergence theorems;

    Abstract : Since the time of Cauchy, integration theory has in the main been an attempt to regain the Eden of Newton. In that idyllic time [. . . READ MORE

  5. 9. The Riemann Hypothesis

    University essay from KTH/Matematik (Inst.)

    Author : Carl Aronsson; Gösta Kamp; [2013]
    Keywords : ;

    Abstract : The Riemann hypothesis was first proposed by Bernhard Riemann in 1860 [1] and says all non-trivial zeroes to the Riemann zeta function lie on the line with the real part 12 in the complex plane [1]. If proven to be true this would give a much better approximation of the number of prime numbers less than some number X. READ MORE

  6. 10. Aerodynamics of Flutter

    University essay from KTH/Mekanik

    Author : Emelie Barman; [2011]
    Keywords : ;

    Abstract : The unsteady ow around an aerofoil placed in a uniform ow stream with an angle of attack is investigated, under the assumption of inviscid, incompressible, two-dimensional flow. In particular, a function of the velocity jump over the wake is achieved, where this function depends on the horizontal displacement and time. READ MORE