Kappa Mu Epsilon Essays

Archives Record Series: 15/06/12

Kappa Mu Epsilon was a mathematics honorary society.  This record series consists of essays written by members of that society from the 1930s through the 1970s.  The Department of Mathematics gave this collection to the University of Northern Iowa Archives in January 1998.

An index compiled in 1974 accompanied the papers.  There were occasional errors in the index, such as double listings and misspellings, which the processor corrected in the inventory below.  Some essays were missing when the collection arrived in the Archives; this is noted on the inventory below.  Some essays were present in the collection but not on the index; these essays were added to the inventory below under the subject classification "UNCLASSIFIED".  Special Collections staff made no attempt to verify the accuracy of students' names.



Kappa Mu Epsilon Paper Index

Book Reviews

Flatland: Life in a Plane
John Hansen

The Search for Truth
Travis Phillips

Calculations

  • A Discussion of a Rapid Method of Extracting Square Root
    Jack Daniels, 1957
  • Finding Square Root
    Gordon Johnson
  • A General Formula for Deriving Pythagorean Numbers
    Meny Rickey
  • Rapid Calculations
    Robert Martin
  • Trigonometric Functions as Roots
    Calvin Calvert, 1958
  • The Trachtenberg Speed System of Multiplication
    Sharon McCulley
  • Multiplication Without Tables
    Laura Dickinson

Calculus

  • Approximate integration
    Virginia Knostman
  • The Controversy Between Newton and Leibnitz...
    Robert B. Kamm
  • Development of the Concept of an Infinitesimal
    Donald Ogren
  • Early Developments in Calculus
    Author unknown
  • Infinitesimals
    R. Seybold
  • Line Integrals
    Allen Oehlert
  • The Mathematical Significance of the Limit
    Hilda E. Miller
  • Newton and Leibnitz in the Invention of the Calculus
    Doris Kirgis
  • Partial Fractions in the Integral Calculus
    Donald R. Dubbert
  • The Genetic Approach to the Calculus
    Duane E. Beebe
  • Definition and Comparison of Integration by Parts of the Riemann Integral and the Stieltjes Integral
    Frederick M. Schuler
  • Consideration on Lim (1 + xP)
    Anna Funk
  • Error: Using Differentials
    Mark Gibson
  • Mathematical Discoveries Leading to the Invention of the Integral Calculus
    Robert L. Smith
  • The Calculus of Variations
    Dick Kroeger

Curves

  • Construction of Equilateral Hyperbolas
    Robert D. Stansbury
  • The Curves y = ax + bx + cx + d
    Stella M. Downey
  • The Difference Between the Graphical and Geometrical Construction of the Quadratic Equation
    Betty Larson
  • Discuss the Curve = cos 5
    Gunther Steinberg
  • Discussion and Tracing of the Function x y + xy = a
    Eleanor Arns
  • Discussion of Curve y = ax + bx + cx + d
    A. Strong
  • Discussion of 4y = x4 - 6x2 + 5
    Marcia E. Traer
  • Graphical Investigation of f(x) = * - 1
    R. E. Slaughter
  • Problem
    Orman White
  • A Short Discussion of Curve Sketching
    Edward L. Corton, Jr.
  • Sketch and Discuss
    Lois V. Hamer
  • The Ellipse and its Properties
    Daryl E. Smith
  • Orthogonal Trafectories
    Stephen H. Dahlby
  • The Spirograph
    Mary Weersing
  • Surfaces of Constant Width of Funny-looking Ball Bearings
    Warren Leisinger

Games and Problems

  • The Buffon Needle Problem
    Mary Ann Ploog, R. Wayne Stork, Connie Kane
  • Nim
    Sandra Ladehoff, Susan Hansen, Harold Gillman, Larry Kingery, Clare Wagner, Janet Peterson, Daniel E. Rhine, Jeff Siems, Connie Kane
  • What is the Game Theory?
    Ruth Bishop
  • Elementary Principles of Game Theory
    William A. Bader
  • The Theory of Games of Strategy
    Calvin C. Irons
  • Game Theory
    Stephen C. Graham
  • Applications of the Theory of Games of Strategy
    John Campbell
  • An Introduction to the Simpler Polyominoes...
    Cheryl Houck
  • 3-D Tic-Tac-Toe
    Jerry J. Gustaphson
  • Some Properties of Card Shuffles
    Jess Fauchier
  • Patterns and Polyominoes
    Esther Hatterman
  • A Discussion of Two Traditional Problems in Statistics: Petersburg and Buffon's Needle Problem
    Paul Magnall
  • The Traveling Salesman Problem
    Dave Briden
  • Pentominoes
    Patricia Heithoff
  • Instant Insanity
    Cheryl Wagner
  • TICKTACKTOE and its Mathematical Complications
    Cheryl Ross
  • Lying Makes No Logical Sense
    Pat Giebelstein
  • Basic Concepts of Game Theory
    John Schreck

General

  • The Abacus, the Counting Board, and Line-Reconing
    Maxine Hoover
  • Continued Fractions
    John H. Smith, Bruce Gerhart, Sue Frommelt
  • Cryptography
    Betty Heishman, Susi Anderson, Kathy Drew
  • Cryptography with Matrices
    Barbara Mann
  • Diophantine Problems
    Don Lichtenberg
  • e with Complex Exponents
    Charles Uban
  • The History of e
    Walter Viering
  • Diophantine Equations
    Pam Mock
  • The Function Concept
    Marvel Meekma
  • Mechanical Brains
    Don Merrill
  • A Neither Copious nor Profound Study of a Condensed Coordinate System of the Cartesian Plane
    John H. DeJong
  • The New Mathematics
    William Ashby
  • Nomography
    Tom Lamke, Betty Burch
  • The Basics of Nomography
    Mary Tietge (essay missing)
  • The Polar Planimeter
    Dave Sarchet
  • Understanding and Using the Polar Planimeter
    Mick Angel
  • The Theory of Braids
  • Vector Analysis
    Clarence Reimer
  • xsin( ) + ysin( ) - f( ) = 0
    Helen Gillespie
  • Signs
    Virgil Boyd
  • Symbolism in Mathematics
    Patricia Ann Cookingham
  • The Aciomatic Method
    Jerry Eyler
  • Contingent Annuities
    Barbara Newell
  • Linear Programming
    Marilyn Walberg
  • Principle of Mathematical Induction
    Wilbur Huck
  • Set Theory
    Jim Sparks
  • Vector Algebra
    Bill Kienzel
  • An Introduction to Mathematics in Music
    Sandra Thurn
  • Mathematics and Music
    Susan Kiesel
  • Mathematics and Personality
    Jane Hanisch
  • History of Determinants
    Lorraine Spies
  • Paper Folding
    Warren Terpstra
  • Recent Developments in Mathematics
    Carol Jean Cole
  • A History of Mathematics in India
    Karilyn Meewes (essay missing)
  • A Brief History of Numbers and Mathematics in China
    Patricia Henderson
  • Signs of the Times--A Brief History of Mathematical Notations
    Sue Arrasmith
  • A History of Japanese Sangi and Some of its uses
    Patricia Johnson
  • Mnemonic Devises
    Mary Sauerbrei
  • Egyptian Mathematics
    Brian Hogue
  • Alphametics
    Norman Rusk
  • Mathematical Logic
    Jerry Jurschak
  • Operating and Calculating on the Chinese Abacus
    Kenneth E. Schroeder
  • Computer Art
    Linda Peterson
  • Square Trigonometry
    William J. Georgou
  • The Square Function
    Anna Studt
  • Pascal's Triangle
    Vivian Werkman
  • Computer Graphics and Plotting
    Tom Fish
  • Graphical Analysis--Three Types of Graph Paper
    Becky Wenzel
  • The Falacy of Simultaneous Events
    Larry Schmitz
  • Growth Functions
    Lois Kidney
  • PHI
    Susan Bennett
  • Pivotal Condensation--A New Dimension
    Kathy Hogan
  • Applications of Mathematical Techniques in Business
    Mark E. McCarville
  • Solving Polynomial Equations
    Patricia Lange (essay missing)
  • Economic Order Quantity
    Nancy Edrington
  • Graph Theory with Emphasis on Planar Graphs
    Denese Smith
  • Diophantine Equations
    Ray Schwarzenbach
  • Pascal's Triangle
    Mary Helfter
  • Lagrange's Equations
    Reuben Collins
  • The Bee & His Honeycomb
    Bev Schmitt

Geometry

  • Cutting of the Squares
    Janice Terrill
  • Finite Geometry
    William A. Shutters
  • Four Region Planes
    Maurine Strack
  • Euler's Rule
    Joseph Will
  • Just For Fun
    Shirley Martinson
  • The Mathematical Straight Line
    Judy Zuber
  • The Mystic Hexagon
    Dwight Davis
  • Squaring the Circle
    George Utley
  • The Platonic Solids (essay missing)
  • Angle Trisection
    Marilynne Dostal
  • The Euclidean Algorithm
    Annette Grundmeier
  • Indirect Proof and the Law of Contrapositive
    Alan Hay
  • Finite Geometry
    ennis C. Mills
  • The Trisection of an Angle
    Jo Ann Farquhar
  • Regular Polygons 3-17 sides
    Carol Ann Brown
  • Elementary Methods of Mechanical Trisection
    Garry G. Brown
  • Descriptive Geometry
    Walter Rose
  • A Proof of the Nine-Point Circle
    Marcia M. McCann
  • The Golden Ratio
    Jill Don Carlos
  • Euler's Formula
    Bernice Bauman
  • Gauss and His Outstanding Discovery
    Richard Schweer
  • The Fourth Dimension
    Linda Kruger
  • Applications of Axial Reflections
    Chris Segar
  • A Brief Exploration into N-Dimensional Geometry
    Connie Martin
  • Taxicab Geometry
    Jane Waldschmidt
  • The Nine-Point Circle and Feuerbach's Theorem
    Howard Batt, Jr.
  • Euler and Hamilton Lines
    Jenny Diercks
  • The Impossibility of Angle Trisection
    Dennis Gilchrist
  • HEXAGONS: A Question of Congruence
    Kenneth Connelly
  • Truth-Tables
    Ladell Marie Smith
  • Affine Planes
    Betty Oswald
  • The Orchard Problem
    Diana Dickinson

Infinity

  • The Anatomy of the Infinite
    Marileigh Behrends
  • Conceptual Development of Infinity
    John C. Longnecker
  • Infinity
    Ann Dahmus
  • Mathematical Concepts of Infinity
    Frieda Blum
  • Transfinite Cardinal Numbers
    Russell F. Hein
  • "What is Infinity?"
    Garry Buettner
  • Transfinite Numbers
    Kenneth Bloom
  • Infinity and the Destruction of Logic
    Ronald E. Lamb
  • Cardinal Exponentiality
    Daniel Claes
  • The Cantor Ternary Set
    Sheila Davis
  • A Finite Look at Infinity
    Marsha K. Griffin
  • Transfinite Numbers
    Bobbi Rhodes

Inversion

  • Inversion (2)
    Jane Mardorf

Logarithms

  • The Invention of Logarithms
    Doris Reeves
  • Logarithms
    John Hemminger
  • Napierian Logarithms
    Ruby Hull
  • Exponential and Logarithmic Functions of Complex Variables
    Robert Wheeler
  • Logarithms Using Binaries
    Tom Betts
  • A Brief History of Logarithms
    Rita Praska

Magic Squares

  • Philippe De la Hire's Method for Constructing Magic Squares
    Linda LaRue
  • A Study of 3x3, 4x4, and 9x9 Magic Squares
    Chuck Doss
  • Magic Squares
    Marilyn Hogue, Diane Schmitt, Brenda Rust (essay missing), John Cross, Madeline Briggs, Duncan Lampman, Leon Baral, Varnon Cotter, Rebecca Zahner, Debra Tvrdik, Jolene Vajgrt, Sandy Fascher
  • Magic Squares: A Mathematical Diversion
    Kevin McCarty

Mathematicians

  • The Bernoulli Family
    Mary Paulus
  • De Moivre's Theorem
    R. Corton
  • Descartes
    Adelaid Anderson, Lee Parmon, Charles Tubbs, Mable Anderson
  • Fermat's Last Theorem
    Tom Yager
  • Isaac Newton
    Miriam Hoist, Robert Kurtg, Norris Pritchard, Norma Otto, Glenna Hayes, Vicki Ernst
  • Charles Babbage: Man Possessed by a Dream
    Kathryn Buhr
  • The Pythagorean School
    Kathy Parsons
  • Karl Friedrich Gauss
    F. Virginia Rohde
  • John Kepler
    George Tedore
  • Leonhard Euler
    Shirley Wehde
  • Nikolas I. Lobatchewsky
    George E. Stiles
  • The Pythagoreans: Their History and Beliefs
    Velva M. Eikleberry
  • Cardano
    Karen Willhite
  • Leibnitz
    Annette Anderson
  • Fermat's Principle
    Thomas Leo Kading
  • Archimedes, A Great Greek Mathematician
    Marie Fratzke

Mathematics and Science

  • Complex Quantities in Alternating Currents
    August A. Ebel
  • The Equation of Fredholm and His Applications to Mathematical Physics
    Hazel M. Tothlisherger
  • The Kinetic Theory of Gases
    Frances Pederson
  • The Lorentz Transformation
    Albert D. Bailey
  • Mathematics and Science
    Richard Kadesch
  • Moment of Inertia
    Harvey Littrell
  • Simple Circuits and Boolean Algebra
    John Newton
  • Simple Harmonic Motion
    Milton Moon, A. James Ebel
  • Some Mathematical Concepts of Modern Physics
    Robert C. Skar
  • Uniform Circular Motion
    Lois Mayer
  • Computers Predicting the Weather
    Ronald Brandt
  • Elementary Biomathematics: The Stochastic Form of Logistic Population Growth
    Don Trebil
  • Switching Functions of two-terminal circuits
    DeAnna Lane
  • Growth Functions
    Lois Kidney (essay missing)
  • The Development of Schrodinger's Wave Equations
    Eugene Nolting
  • The Geometry of Crystals
    Merrill Silvey
  • Network Analysis: Critical Path Methods
    Janet Dinners
  • Machines: Two Perspectives
    Kathleen Conrad

Metamathematics

  • Absolute Truth Theory
    Richard Kriens
  • An introduction to Metamathematics
    DeWayne S. Nymann

Modern Algebra

  • The Rotation Group of a Cube
    Andria Meeks
  • The Rotation Group of a Tetrahedron
    Janet Dorman (essay missing)
  • Boolean Algebra
    Judy Nichelson
  • Symmetries of Polygons
    James E. Robeson
  • Communication Networks Using Matrices
    Judy Kaldenberg
  • Alternate Definitions of Groups
    Alfred V. Wood
  • Representation of Column Matrices as Geometric
    Vectors
    Cheryl Wogens
  • Countable Infinity
    Diana Jo Butterbaugh
  • An Unsolvable Cipher
    Karen Wise
  • Countable Infinity
    Diana Jo Butterbaugh
  • Alternate Definitions of Groups
    Alfred Wood
  • Tabular Minimization of Boolean Expressions
    James Herwig
  • The Shortest Path Through a Given Network
    Bonnie Marlett

Non-Euclidean Geometry

  • The Discovery of Non-Euclidean Geometry
    Clyde Dilley
  • History of Non-Euclidean Geometry
    Bernard Thielen
  • Non-Euclidean Geometry
    Gernice Bernatz
  • A Break with Euclidean Geometry
    Alice M. Dieffenderfer
  • Non-Euclidean Geometry
    Richard Blum
  • Girolarma Saccheri and the Fifth Postulate
    Judy Richardson
  • Non-Euclidean Geometry and Relativity Theory
    Paul J. Bernard
  • Non-Euclidean Geometry: The Double Elliptic Plane
    Donald Daws

Number Systems

  • The Development of our System of Numeration
    Marlene Bonfig
  • The Binary System--Its Nature and Application
    Susan Drury
  • The Development of our Number System
    James Stinehart
  • The Greeks: No. Systems, Notation, Arithmetic Calculations
    Robert Dickey
  • The Growth of the Number Concept
    Ruth Hamilton
  • The Metric System
    Hazel Guetschow
  • New Meanings for Old Symbols
    John Phuler
  • Past and Present Numeral Systems
    Kathryn Hiller
  • The Rationality or Irrationality of Algebraic Integers
    James Van Deventer
  • Systems of Numbers
    Dorthy Johnson
  • The Base Negative Two Numeration System
    Mary Dinsdale
  • Casting Out Nines
    Barbara Wehrspan
  • Number Notations
    Ruth Karstens
  • The Numeration System
    Lynn Anderson
  • Modular Number Systems
    Joan Keel
  • A Study of Polygonal and Polyhedral Number Patterns
    Eileen Voss
  • Continued Fractions
    Ronald Roby
  • The Duodecimal System
    Dixie Spaur
  • Base Negative Two
    Gary Wenthold
  • The Prime Number Numeration System
    Pauline Barker

Number Theory

  • Fermat's Last Theorem
    Sue Albright
  • Fibonacci Number Series
    Richard Curry, Joe Becker, Bill Garner, Mary Kay, Alan M. Olsen, Shirley Sylvester
  • Primes and the Factorgram
    Sally E. Horn
  • Congruences
    Jerry Johnson
  • Pythagorean Numbers
    Marietta Schuldt
  • Perfect Numbers
    Larry Park, Mary Ann Stanaway
  • Division by Primes
    Roger Hensing
  • Prime Numbers
    Anita Christensen, Jan Wolfe
  • Euclidean Perfect Numbers
    Dale Rosenberger
  • The Theory of Perfect Numbers
    Myron Linn
  • Development of Ordinal Numbers
    Michael Bentley
  • Prime Numbers
    William W. Carter
  • The Fibonacci Numbers
    David Lewis
  • Historical Aspects of the Perfect Number
    Ruth Light
  • Figured Numbers
    Janet Proescholdt
  • Fibonacci Numbers and M-Arithmetic
    Sandra Determann
  • The Farey Sequences
    Barbara Dee
  • Perfect and Multiply Perfect Numbers
    Scott Daup

Philosophy

  • Truth From Falsehood
    Marilyn Mitchell
  • The Philosophy of Mathematics
    Shirley McRoberts
  • Achilles and the Tortoise
    Cathy Cable
  • Greek Philosophers on Mathematics
    Gail Snyder

Pi

  • History and Transcendence of Pi
    Frieda Peter
  • Historical Development of Pi
    Nina Bowers
  • The History of Pi
    Beverly Behrend
  • The Evolution of Pi
    Kenneth Cox
  • A History of Pi
    Mike Luttenegger

Probability

  • Direct Calculation of Probability
    Lawrence Cannington
  • Integration of the Probability Curve
    Jerome Cross
  • The History of Probability to 1900
    Larry A. Woo
  • Probability and Its Relation to Teaching and Business
    Mary LaDage
  • A Treatise on Probability
    Charles Lehmkugh
  • Importance of Probability
    Karen J. Gulick
  • Probability and Bridge
    Richard Kress
  • Probability--History, Basic Laws, and Applications
    Beth Dunkel
  • Monte Carlo Simulation and Analysis of Decision Rules
    Karen Price
  • Probability in Genetics
    Joyce Bald

Slide Rule

  • Quadratic and Cubic Equations by Slide Rule
    Marilyn Whittlesey
  • The Nelson Slide Rule
    Joseph Navin
  • Sliding In
    C. Thomas Wright
  • The Theory of the Slide Rule
    Merlin Chapman

Teaching of Mathematics

  • Current Problems in Mathematics Teaching and Remedial Measures
    Myra Downs
  • A Discussion of an Elementary Calculus Course for the Secondary Education Level
    Judith M. Nelson
  • The Genetic Method and High School Calculus
    Stanley I. Norris
  • High School Mathematics for Students with Low I.Q.s
    Morton Nelson
  • The Mathematics Teacher
    David L. Cook
  • Modern Mathematics: A Change from Traditional to New
    Orlowe Halvorsen
  • The Place of Mathematics in the Junior High School
    Alice C. Nelson
  • Teaching D and R in the Junior High School
    Dorothy Vogt
  • Toeplitz Ideas About Calculus
    Judith Larson
  • Trends in the Teaching of High School Geometry
    Charlotte L. Davis
  • The Attainment of Arithmetical Concepts
    Gene Schaul
  • Math Need Not Be Dry
    Dianne Brown
  • Modular Arithmetic
    Nancy Schultz
  • Teaching Mathematics to the Slow Learner
    Elaine Rieck
  • Teaching of High School Calculus
    Lynn R. Kueck
  • From Arithmagic to Arithmetic
    Kathy Pratt
  • Solving Algebraic Word Problems
    Nancy Mitchell
  • Intuitive Geometry for the Elementary School
    Linda M. Severe
  • Algebra in Elementary Mathematics
    Judy Sailer
  • The Nature of the Mathematics Curriculum in the Junior High School
    Carol Beerman
  • Drills of Basic Arithmetical Operations
    Christy VanDeventer

Theory of Equation

  • Cubic and Quartic Equations
    Joyce Bickford
  • Solving the Cubic Equation
    Phyllis McKenna
  • The Cubic Formula
    Craig Pogemiller

Topology

  • The Four-Color Problem
    Roger Lyle Brockmeyer, Marcia Ludwig, Linda Proudfit
  • Koenigsberg Bridge Problem
    Roger Leary, Diane Sorensen
  • The Mobius Strip
    Maureen Murphy
  • Map Coloring and the 4-Color Problem
    Gregory Ruble
  • Calculating the Number of Distinct 3p-nodes
    Barbara Huffman
  • "Score Four"
    Dennis Jones
  • The Four-Color Problem
    Shirlee Huisinga

Unclassified

  • The Founder of Analytical Geometry
    Stephen E. Dann
  • Seven Bridges of Konigsberg
    James M. Krueger
  • Pascal's Triangle with Applications
    Shirley Vlietstra
  • The Lorentz Contraction Formula
    John Wahl
  • Divisibility Using Modular Systems
    Jo Ann Wenthold

Collection processed and finding aid scanned and corrected by Student Intern Curtis Hanson; Web finding aid coded by University Archivist Gerald L. Peterson; February 1998; last modified, December 2, 2014 (GP).


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