Essays about: "Special integrals"

Found 3 essays containing the words Special integrals.

  1. 1. Analysis and Algebraic Structures of q-Analysis and its Generalizations

    University essay from Mälardalens högskola/Akademin för utbildning, kultur och kommunikation

    Author : Olle Karlsson; [2020]
    Keywords : calculus;

    Abstract : In this thesis we explore the concept of q-calculus and its generalisation. We begin by defining q-combinatorics which uses a real number to define a new set of numbers and then use these numbers to get classic combinatoric elements. These results have use when we work on our algebra that are related with this specific real number. READ MORE

  3. 2. 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

  4. 3. Some theoretical and numerical aspects of the N-body problem

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Kjartan Kari Gardarsson Myrdal; [2013]
    Keywords : N-body problem; central configuration; Euler s solution; Lagrange s solution; numerical methods; Euler s method; Heun s method; the classical fourth-order Runge-Kutta scheme; Störmer-Verlet; Mathematics and Statistics;

    Abstract : The N-body problem has been studied for many centuries and is still of interest in contemporary science. A lot of effort has gone into solving this problem but it's unlikely that a general solution will be found with the mathematical tools we have today. We review some of the progress that has been made over the centuries in solving it. READ MORE