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# Kappa Mu Epsilon Paper Index, unknown dates

## Collection Overview

Title: Kappa Mu Epsilon Paper Index, unknown dates

Record Series: 14/11/01

Creator: Kappa Mu Epsilon

Date: Unknown

Extent: 2.09 linear feet, 2 boxes

Repository: Special Collections and University Archives, Rod Library, University of Northern Iowa.

Language: This material is entirely in English.

## Access and Use

Accessing the Collection:

There are no restrictions on the use of this material.

Preferred Citation: [Identification of item] in the Kappa Mu Epsilon Paper Index, unknown dates, Archives Record Series 15/06/12, [box and folder number], University Archives, Rod Library, University of Northern Iowa

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## Historical Note

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.

## Scope and Content

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.

## Inventory

**Boxes 1-2**

**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

## Processing Information

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. Modified: September 20, 2001 (SB). Updated by Library Associate Dave Hoing, January 2018 and April 2018. Linear Feet updated September 17, 2017.