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 Special Collections 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 Special Collections; 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.

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 Curt Hanson, Student Intern; Web finding aid coded by Gerald L. Peterson, University Archivist; February 1998.

Last modified: September 20, 2001 (SB)