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History Of Mathematics: An Exercise In Strengths, Mary Walkins 2011 Lee University

History Of Mathematics: An Exercise In Strengths, Mary Walkins

ACMS Conference Proceedings 2011

As a leader in strengths-based education, Lee University encourages each new student, since fall of 2003, to take the Gallup StrengthsFinder to determine their top 5 signature themes (out of a possible 34). At Lee, the syllabus for the History of Mathematics course calls for students to write a paper on a mathematician. In the fall of 2009, as an added dimension, students were asked to critically think about and incorporate the strengths they believe that mathematician may have. Each student was required to compare and contrast his or her strengths with those of the mathematician. This was done with …


The Study Of Mathematics: A Text From A Christian Perspective, Doug Phillippy 2011 Messiah College

The Study Of Mathematics: A Text From A Christian Perspective, Doug Phillippy

ACMS Conference Proceedings 2011

This paper examines the integration of the Christian faith with the teaching of mathematical texts using the author’s textbook, The Study of Mathematics: Developing a mature understanding of mathematical thought, with consideration of Christian faith and vocation.


The History Of The Area Between A Line And A Parabola, Gordon A. Swain 2011 Ashland University

The History Of The Area Between A Line And A Parabola, Gordon A. Swain

ACMS Conference Proceedings 2011

This is a review of various methods used by many mathematicians to determine the area of the segment bounded by a parabola and a line. We include descriptions of proofs from the Greek period (Archimedes), the Arabic period (ibn Qurra and ibn Sinan), and the 1600's in European (Galileo, Roberval, Fermat and Wallis, among others), in order to display the changing nature of mathematics.


Pascal’S Thoughts Seen In The Light Of Scripture, Loredana Ciurariu 2011 Polytechnic University of Timișoara

Pascal’S Thoughts Seen In The Light Of Scripture, Loredana Ciurariu

ACMS Conference Proceedings 2011

In this paper we study Pascal’s character via his writings. There are indications that his health might have deteriorated following the experiments he had done using mercury. He talks in his Pensées about faith, grace and purity of the heart, about the peoples and the way in which God leads them, about wisdom, dreams and hopes and that which lies in the human heart. If a statistics was done concerning the most used books and verses from the Bible in Pensées, these would be: Ecclesiastes, Proverbs, Matthew, Mark, Jeremiah, Hebrews, Romans, Luke, Isaiah, Psalms. But those which occupy a central …


Two Faith Integration Projects For Freshman Majors, Nicholas J. Willis 2011 George Fox University

Two Faith Integration Projects For Freshman Majors, Nicholas J. Willis

ACMS Conference Proceedings 2011

Two projects will be presented that integrate faith and Mathematics in a freshman Introduction to Proofs class at George Fox University. The first project asks students to look at the life of a Christian Mathematician. The focus of this project is to show students that many great mathematicians also had immense faith. The second project asks students to take a close look at their own life. How do they plan to live a life of Christian faith in their chosen profession? Both projects are designed to encourage students to look at their careers in Mathematics as a vocation.


The Search For Hamilton, Eric Gossett 2011 Bethel University

The Search For Hamilton, Eric Gossett

ACMS Conference Proceedings 2011

In July and August of 2009 my wife and I went on a four-week trip to Scotland and Ireland. We would be visiting Dublin, so I decided that we should visit the famous bridge where William Rowan Hamilton carved the equations for the quaternions. The task was not as simple as I had assumed. This paper gives some details of the search.


Where, Oh Waring? The Classic Problem And Its Extensions, Brian D. Beasley 2011 Presbyterian College

Where, Oh Waring? The Classic Problem And Its Extensions, Brian D. Beasley

ACMS Conference Proceedings 2011

This paper will sketch brief outlines of Edward Waring’s life and the history behind the eventual solution to his famous conjecture about expressing positive integers as the sum of kth powers. In addition, it will present some of the related questions currently being studied, such as expressing sufficiently large integers as sums of powers, sums of powers of primes, and sums of unlike powers.


Connecting Mathematics Students To Philosophy And Faith, Nathan Moyer 2011 Whitworth University

Connecting Mathematics Students To Philosophy And Faith, Nathan Moyer

ACMS Conference Proceedings 2011

This paper describes a class project that helps students wrestle with the deep philosophical questions of mathematics in a relevant way. Through article readings and group discussions, various historical views of mathematical philosophy are examined and critiqued. An emphasis is placed upon students making meaningful connections between their own views of mathematics and their personal Christian faith or worldview.


Paper Abstracts (2011), Association of Christians in the Mathematical Sciences 2011 Taylor University

Paper Abstracts (2011), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2011

Eighteenth Conference of the Association of Christians in the Mathematical Sciences


Introduction (2011), Russell Howell 2011 Westmont College

Introduction (2011), Russell Howell

ACMS Conference Proceedings 2011

Eighteenth Conference of the Association of Christians in the Mathematical Sciences


Table Of Contents (2011), Association of Christians in the Mathematical Sciences 2011 Taylor University

Table Of Contents (2011), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2011

Eighteenth Conference of the Association of Christians in the Mathematical Sciences


Schedule (2011), Association of Christians in the Mathematical Sciences 2011 Taylor University

Schedule (2011), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2011

Eighteenth Conference of the Association of Christians in the Mathematical Sciences


The Graph Distance Game, Wayne Goddard, Anne Sinko, Peter J. Slater, Honghai Xu 2011 College of Saint Benedict/Saint John's University

The Graph Distance Game, Wayne Goddard, Anne Sinko, Peter J. Slater, Honghai Xu

Mathematics Faculty Publications

In the graph distance game, two players alternate in constructing a maximal path. The objective function is the distance between the two endpoints of the path, which one player tries to maximize and the other tries to minimize. In this note, we examine the distance game for various graphs, and provide general bounds, exact results for special graphs, and an algorithm for trees. Computer calculations suggest interesting conjectures for grids.


Reliability Analysis Of A Series And Parallel Network Using Triangular Intuitionistic Fuzzy Sets, D. Pandey, S. K. Tyagi, Vinesh Kumar 2011 C.C.S. University

Reliability Analysis Of A Series And Parallel Network Using Triangular Intuitionistic Fuzzy Sets, D. Pandey, S. K. Tyagi, Vinesh Kumar

Applications and Applied Mathematics: An International Journal (AAM)

This paper describes a novel approach, based on intuitionistic fuzzy set theory for reliability analysis of series and parallel network. The triangular intuitionistic fuzzy sets are used to represent the failure possibility of each basic (terminal) event to get more comprehensive results for the failure possibility of the top event. The proposed technique is demonstrated on a web server LOG data used to illustrate HTTP (Hyper Text Transfer Protocol) failure


Σary, Minnesota State University Moorhead, Mathematics Department 2011 Minnesota State University Moorhead

Σary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.


Local Estimates For The Koornwinder Jacobi-Type Polynomials, Valmir Krasniqi, Naim L. Braha, Armend S. Shabani 2011 University of Prishtin

Local Estimates For The Koornwinder Jacobi-Type Polynomials, Valmir Krasniqi, Naim L. Braha, Armend S. Shabani

Applications and Applied Mathematics: An International Journal (AAM)

In this paper we give some local estimates for the Koornwinder Jacobi-type polynomials by using asymptotic properties of Jacobi orthogonal polynomials.


Similarity Solution For Flow Of A Micro-Polar Fluid Through A Porous Medium, Kh. S. Mekheimer, R. E. Abo-Elkhair, S. Z. -A. Husseny, A. T. Ali 2011 Al-Azhar University

Similarity Solution For Flow Of A Micro-Polar Fluid Through A Porous Medium, Kh. S. Mekheimer, R. E. Abo-Elkhair, S. Z. -A. Husseny, A. T. Ali

Applications and Applied Mathematics: An International Journal (AAM)

The equations of two dimensional incompressible steady micro-polar fluid flows through a porous medium are studied. Lie group analysis is employed and the solutions corresponding to the translational symmetry are developed. A boundary value problem is investigated and the results are sketched graphically. The effect on the flow of the porosity coefficient of the porous medium and the micro-polar parameters are observed.


Homotopy Perturbation Method For Solving System Of Generalized Abel’S Integral Equations, Sunil Kumar, Om P. Singh, Sandeep Dixit 2011 Banaras Hindu University

Homotopy Perturbation Method For Solving System Of Generalized Abel’S Integral Equations, Sunil Kumar, Om P. Singh, Sandeep Dixit

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, a user friendly algorithm based on the homotopy perturbation method (HPM) is proposed to solve a system of generalized Abel’s integral equations. The stability of the solution under the influence of noise in the input data is analyzed. It is observed that the approximate solutions converge to the exact solutions. Illustrative numerical examples are given to demonstrate the efficiency and simplicity of the proposed method in solving such types of systems of Abel’s integral equations.


Existence Of Solutions For A Wave Equation With Non-Monotone Nonlinearity And A Small Parameter, Jose F. Caicedo, Alfonso Castro, Rodrigo Duque 2011 Universidad Nacional de Colombia

Existence Of Solutions For A Wave Equation With Non-Monotone Nonlinearity And A Small Parameter, Jose F. Caicedo, Alfonso Castro, Rodrigo Duque

All HMC Faculty Publications and Research

We provide sufficient conditions for the existence of solutions to a semilinear wave equation with non-monotone nonlinearity involving a small parameter. Our results are based on the analysis of a an operator that characterizes the projection onto the kernel of the wave operator subject to periodic-Dirichlet boundary conditions. Such a kernel is infinite dimensional which makes standard compactness arguments inapplicable.


Solitary, Explosive, Rational And Elliptic Doubly Periodic Solutions For Nonlinear Electron-Acoustic Waves In The Earth’S Magnetotail Region With Cold Electron Fluid And Isothermal Ions, S. A. El-Wakil, E. M. Abulwafa, M. A. Abdou, E. K. El-Shewy, H. M. Abd-El-Hamid 2011 Mansoura University

Solitary, Explosive, Rational And Elliptic Doubly Periodic Solutions For Nonlinear Electron-Acoustic Waves In The Earth’S Magnetotail Region With Cold Electron Fluid And Isothermal Ions, S. A. El-Wakil, E. M. Abulwafa, M. A. Abdou, E. K. El-Shewy, H. M. Abd-El-Hamid

Applications and Applied Mathematics: An International Journal (AAM)

A theoretical investigation has been made of electron acoustic wave propagating in unmagnetized collisionless plasma consisting of a cold electron fluid and isothermal ions with two different temperatures obeying Boltzmann type distributions. Based on the pseudo-potential approach, large amplitude potential structures and the existence of Solitary waves are discussed. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation for small but finite amplitude electrostatic waves. An algebraic method with computerized symbolic computation, which greatly exceeds the applicability of the existing tanh, extended tanh methods in obtaining a series of exact solutions of the KdV equation, is …


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