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General Steps In The Revolution Of The Calculus From The Time Of The Ancients To The Present, Sister Mary Virginia
General Steps In The Revolution Of The Calculus From The Time Of The Ancients To The Present, Sister Mary Virginia
Electronic Thesis and Dissertation
Mathematics is the most ancient of the sciences, yet it is not surpassed by any in modernity, bu is flourishing to-day at a rate unsurpassed and unapparelled by means of the Calculus. Mathematics is like to a wheel, which has influenced mechanism... Who invented this wheel, is not known but its influence is unconsciously felt by you and me, and the whole world about us in a greater or lesser degree.
General Steps In The Revolution Of The Calculus From The Time Of The Ancients To The Present, Mary Virgiia
General Steps In The Revolution Of The Calculus From The Time Of The Ancients To The Present, Mary Virgiia
Electronic Thesis and Dissertation
No abstract provided.
Probability, The Historical Development Of The Theory And Its Application To Games Of Chance, Rose M. Brandt
Probability, The Historical Development Of The Theory And Its Application To Games Of Chance, Rose M. Brandt
Bachelors’ Theses
The theory of probability had its origin in isolated mathematical problems taken from games of chance. The beginnings of many of our modern theories and concepts can be traced back to Chinese origin. So too can the theory of probability. With the exception of the Chinese problem, dating from the beginning of the Christian era, no reference seems to have again been made to the theory prior to the latter part of the fifteenth century. In 1494 an Italian monk, Pacioli, was one of the first to introduce the "Problem of Points" into a treatise on mathematics. By the solution …
On The Trigonometric Expansion Of Elliptic Functions, M. A. Basoco
On The Trigonometric Expansion Of Elliptic Functions, M. A. Basoco
Department of Mathematics: Faculty Publications
The problem of expressing an elliptic function in terms of infinite sums of trigonometric functions has been treated by Hermite, Briot and Bouquet, A. C. Dixon and others. In the present paper we treat the same problem from the point of view of Cauchy's residue theorem in function theory, which is also Briot and Bouquet's starting point, but we differ from these authors in that the integrand we use leads to an expansion for an elliptic function which is valid in an arbitrarily wide, but finite, strip of the complex plane, and which contains certain classical results as special cases. …
Parametric Solutions Of Certain Diophantine Equations, T. A. Pierce
Parametric Solutions Of Certain Diophantine Equations, T. A. Pierce
Department of Mathematics: Faculty Publications
In this note parametric solutions of certain diophantine equations are given. The method of obtaining the solutions is derived from an equation involving the determinants of certain matrices. It will be recognized that the method is a generalization of the method of Euler and Lagrange which depends on forms which repeat under multiplication. The matrices used in this paper must be such that their forms are retained under matric multiplication and addition. When integer values are assigned to the parameters of our solutions we obtain integer solutions of the particular equation under consideration; however not all integer solutions are necessarily …
A Certain Multiple-Parameter Expansion, H. P. Doole
A Certain Multiple-Parameter Expansion, H. P. Doole
Department of Mathematics: Faculty Publications
C. C. Camp has shown the convergence of the expansion of an arbitrary function in terms of the solutions of the systems of equations
X1’ (λa1 - Σi=2nμi)X1 = 0,
X1’ (λai + μi)Xi = 0, (j = 2, 3, …, n),
where the ai’s are functions of x, with the boundary conditions
Xi(-π) = Xi(π), (j = 1, 2, …, n).
In this paper it is intended to use a …
The Construction Of Conic Sections By Means Of Pascal's And Brianchon's Theorems, Benjamin Lee Welker Jr.
The Construction Of Conic Sections By Means Of Pascal's And Brianchon's Theorems, Benjamin Lee Welker Jr.
University of the Pacific Theses and Dissertations
The discovery of conic sections was made by Menaechmus (375-325 B.C.) an associate of Plato and a pupil of Eudoxus. This discovery, in the course of only a century, raised geometry to the loftiest height which it was destined to reach during antiquity.
The Spinning Top, Aaron Jefferson Miles
The Spinning Top, Aaron Jefferson Miles
Masters Theses
"Several mathematicians have solved the problems of motion of the top and gyroscope most completely, but none of them have considered in their solutions the effects of the supporting gimbal rings upon the motion or the effects of a variable rotor speed. It is the purpose of this paper to investigate the top equations by two well known methods; namely, by the method of Lagrange and by the method of Jacobi; considering in both the dynamics of the gimbal rings and varying rotor speed"--Introduction, page 3.