Now showing items 1-20 of 144

    • The Singular Solution Of Differential Equations 

      Doyle, George (1932-04-01)
      In the latter half of the seventeenth century Sir Isaac Newton, eminent mathematician and physicist, developed his theory of Fluxions, treating with the subject by which he is probably best known. The Calculus, as the ...
    • The Relations Between Mathematics and Philosophy 

      James, John (1934-04-01)
      "The history of mathematics is one of the large windows through which the philosophic eye looks into past ages and traces the line of intellectual development." Thus does a prominent mathematician characterize the general ...
    • The Teaching Of Trigonometry In The Secondary School 

      Lapke, Leo (1957-04-01)
      It is my purpose in the writing of this thesis to give reasons for the teaching of trigonometry in the high school; give a short history of trigonometry and show the importance that trigonometry has played in the world; ...
    • Topological Spaces and Jordan's Theorem 

      Bollinger, David (1964-04-01)
      What is topology? What is it based upon and what can I relate it to that I already know? These and many other questions were asked by those who attended the lecture given by J. Eldon Whitesitt, a guest lecturer from Montana ...
    • The Linear Fractional Transformation Of A Complex Variable: w=(az/b)/(cs/d) 

      Fong, Humphrey (1964-04-01)
      A complex number is represented in rectangular coordinates as x/iy, where x and y are real. It is also represented as r(cos e/i sin e) in polar coordinates, where r and e are real. r is called the absolute value, or modulus ...
    • Trigonometric Fourier Series 

      Morgan, Thomas (1965-04-01)
      A function f(x) is called periodic if there exists a constant T > o for which f(x+T)=f(x) for any x. The constant T is called the period of the function f(x). The most familiar periodic functions are sin x, cos x, tan x, ...
    • Analog Computers 

      Young, Robert (1965-04-01)
      This thesis has been written with the intention that it will aid those students interest in the operation of the Heathkit Educational Electronic Analog Computer acquired by Carroll College in this year 1965 and which will ...
    • Riemannian Geometry 

      McBride, Marie (1965-04-01)
      Mathematics enjoys special esteem above all the other sciences for several reasons. Its laws are absolutely certain and indisputable. This priority would not be momentous if the laws of mathematics referred only to objects ...
    • Basic Concepts Of Finite Congruences 

      Ries, Richard (1967-04-01)
      Ever since the adveny of counting man has been toying with numbers. He soon learned that some numbers behaved differently than did others, and that different combinations of different numbers also produced different results. ...
    • Basic Concepts In The Simplex Method Of Linear Programming 

      War, Thomas (1967-04-01)
      Programming problems are concerned with the efficient use or allocation of limited resources to meet desired objectives. These problems are characterized by a large number of solutions that satisfy the basic conditions of ...
    • Electronic Digital Computers With An Introduction To The Analog Computer And The Digital Differential Analyzer 

      Martin, Arden (1967-04-01)
      Computers either measure "how much" or count "how many". The former is known as an analog computer while the latter is called a digital computer. Of all the creatures on earth, only man has the ability to count. Ancient ...
    • Weyl's Theory Of Non-Riemannian Geometry And Relativity 

      Dyba, William (1968-04-01)
      The non-Riemannian geometry of Weyl is an outgrowth of Levi- Civita’s concept of parallelism. It is based on the concept of linear displacement. In Weyl’s geometry length is non-transferable and, in light of this ...
    • A Theory And Development Of Quotient Rings 

      Lopach, Michael (1970-04-01)
      The purpose of this paper is a logical and clear development of the concept of quotient rings. The development will begin with the concept of groups and quotient groups, followed by discussions of rings, modular quotient ...
    • Functionals In The Calculus Of Variations 

      Kao, Tsai-tse (1970-04-01)
      This thesis deals with an introduction to the functionals in the calculus of variations. Since calculus of variations is a relatively advanced topic in mathematics, this thesis is written with the attempt to introduce some ...
    • The Importance Of Interpretation In Research Statistics: An Overview 

      Cook, Bill (1971-04-01)
      This paper was originally conceived of as a real research project, as a way of putting theoretical statistical knowledge to work in the area of real life. The author has access to a suitable population for study ...
    • The Development And Application Of Decision Theory Analysis 

      Blodnick, Kathleen (1971-04-01)
      Nearly everything a person does, every action taken, is the result of making a decision. With the exception of a few physiological actions, such as breathing, every action involves a decision, even though some are very ...
    • Solution Of Parabolic Partial Differential Equations By Finite Difference Methods 

      Prosper, Lawrence (1973-04-01)
      This paper is concerned with finding the solutions to a particular type of partial differential equations. It will be left up to the engineers and physicists to derive the actual equations which describe a physical situation. ...
    • An Introduction to Complex Analysis 

      Scharf, John (1973-04-01)
      The purpose of this paper is to present an introductory survey of the basic ideas and concepts which form a foundation for the analytic study of the single-valued functions of a complex variable. In no way does it purport ...
    • An Introduction To Solvable, Supersolvable, And Nilpotent Groups 

      Curry, James (1974-04-01)
      Solvability and nilpotence form the core of this work. Appropriate to the undergraduate level, it begins with a review of the basic results of a first course in abstract algebra. These are extended to the Sylow Theorems, ...
    • Astronomy and Astrophysics: Stellar Formation and Evolution 

      Yuhas, Dean (1975-04-01)
      In writing this thesis, I have purposely divided it into two sections or volumes! (1) a mathematical introduction (2) a main body The Introduction is a small history of the change in astronomy and the mathematics and physics ...