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31	The Riemann-Complete Integral Boyd, Eddie 05 1900 (has links) The problem with which this paper is concerned is that of defining the Riemann-Complete Integral and comparing it with the Riemann and the Lebesgue Integrals. Riemann-Complete integral Lebesgue integral mathematics
32	Integral Representation Theorems Hatta, Leiko 01 May 1971 (has links) Since F. Riesz showed in 1909 that the dual of C[0, 1] is BV[0, 1] (the functions of bounded variation on [0, 1] with II g IIBV = V(g)) via the Stieltjes integral, obtaining representations for linear operators in various settings has been a problem of interest. This paper shows the historical manner of representations, the road map type theorems and representations obtained via the v-integral. (44 pages) Stieltjes integral linear operators v-integral Mathematics
33	On the fundamental theorem of calculus Singh, Jesper January 2015 (has links) 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. / Riemannintegralen har många brister. Vissa utav dessa ser man i integralkalkylens huvudsats. Huvudmålet med denna uppsats är att introducera gauge integralen och visa en mer lämplig version av huvudsatsen. Fundamental theorem of calculus Gauge integral Riemann integral
34	Electromagnetic scattering using the integral equation-asymptotic phase method Aberegg, Keith R. 12 1900 (has links) No description available. Integral equations Integral equations Asymptotic theory
35	Numerical analysis of some integral equations with singularities Thomas, Sophy Margaret January 2006 (has links) In this thesis we consider new approaches to the numerical solution of a class of Volterra integral equations, which contain a kernel with singularity of non-standard type. The kernel is singular in both arguments at the origin, resulting in multiple solutions, one of which is differentiable at the origin. We consider numerical methods to approximate any of the (infinitely many) solutions of the equation. We go on to show that the use of product integration over a short primary interval, combined with the careful use of extrapolation to improve the order, may be linked to any suitable standard method away from the origin. The resulting split-interval algorithm is shown to be reliable and flexible, capable of achieving good accuracy, with convergence to the one particular smooth solution. 518.66
36	The Fredholm-Carlemann theory for a class of radically acting linear integral operators in H ( +) spaces / Keviczky, Attila Béla January 1976 (has links) No description available. Integral operators. Integral equations. Fredholm operators.
37	Zur Theorie der Dirichletschen Randwertaufgabe zum Operator ²-k⁴ im Innen- und Aussenraum mit der Integralgleichungsmethode Wickel, Wolfram, January 1973 (has links) Thesis--Bonn. / Vita. Includes bibliographical references (p. 74-75).
38	Zur Theorie der Dirichletschen Randwertaufgabe zum Operator ²-k⁴ im Innen- und Aussenraum mit der Integralgleichungsmethode Wickel, Wolfram, January 1973 (has links) Thesis--Bonn. / Vita. Includes bibliographical references (p. 74-75).
39	Gauge integration / McInnis, Erik O. January 2002 (has links) (PDF) Thesis (M.S. in Applied Mathematics)--Naval Postgraduate School, September 2002. / Thesis advisor(s): Chris Frenzen, Bard Mansager. Includes bibliographical references (p. 49). Also available online.
40	The Fredholm-Carlemann theory for a class of radically acting linear integral operators in H ( +) spaces / Keviczky, Attila Béla January 1976 (has links) No description available. Integral equations. Fredholm operators. Integral operators.

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