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Mathematics and Computer Education

2005 Volume 39, Number 2

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Table of Contents

Number of articles: 7

  1. Further Generalized Integrals Involving x[superscript x] and Series Involving N[superscript N]

    P Glaister

    In this paper, the author gives a further simple generalization of a power series evaluation of an integral using Taylor series to derive the result. The author encourages readers to consider... More

    pp. 110-112

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  2. Elliptic Curve Cryptography with Java

    Richard E. Klima & Neil P. Sigmon

    The use of the computer, and specifically the mathematics software package Maple, has played a central role in the authors' abstract algebra course because it provides their students with a way to ... More

    pp. 113-119

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  3. A Note on Hamiltonian Graphs

    Ronald Skurnick, Charles Davi & Mia Skurnick

    Since 1952, several well-known graph theorists have proven numerous results regarding Hamiltonian graphs. In fact, many elementary graph theory textbooks contain the theorems of Ore, Bondy and... More

    pp. 120-124

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  4. On the Definition of the Ordinary Points and the Regular Singular Points of a Homogeneous Linear Ordinary Differential Equation

    David E. Dobbs

    The author discusses the definition of the ordinary points and the regular singular points of a homogeneous linear ordinary differential equation (ODE). The material of this note can find classroom... More

    pp. 125-130

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  5. Teaching Reductive Thinking

    Michal Armoni & Judith Gal-Ezer

    When dealing with a complex problem, solving it by reduction to simpler problems, or problems for which the solution is already known, is a common method in mathematics and other scientific... More

    pp. 131-142

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  6. Approximating Integrals Using Probability

    Richard F. Maruszewski & Kyle A. Caudle

    As part of a discussion on Monte Carlo methods, which outlines how to use probability expectations to approximate the value of a definite integral. The purpose of this paper is to elaborate on this... More

    pp. 143-147

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  7. Triangles with Integer Side Lengths and Rational Internal Radius P and External Radius R

    Konstantine Zelator

    This paper is written on a level accessible to college/university students of mathematics who are taking second-year, algebra based, mathematics courses beyond calculus I. This article combines... More

    pp. 152-159

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