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Full-Text Articles in Physical Sciences and Mathematics

The Solution Of Ordinary & Partial Differential Equations In Series, Kenneth Wood Aug 1935

The Solution Of Ordinary & Partial Differential Equations In Series, Kenneth Wood

Masters Theses & Specialist Projects

The purpose of this thesis is to compile and discuss some of the methods of solution of both ordinary and partial differential equations, whose solutions are expressible in the form of a series. An exhaustive study is not attempted. A few of the methods of most common occurrence for finding solutions in series are discussed and examples illustrating these methods are presented.


Analysis Of Errors Made By 717 Collge Students In Arithmetic, O.D. Barnes Aug 1935

Analysis Of Errors Made By 717 Collge Students In Arithmetic, O.D. Barnes

Masters Theses & Specialist Projects

During the greater part of the elementary-school training of the average American child he receives a large amount of instruction and drill in arithmetic. In the high school he suddenly drops arithmetic except as he maintains practices in courses of science or high school mathematics and except as the transactions of every day life involve arithmetic. In college the individual may suddenly find that the amount of arithmetical knowledge required is not small as in physics, chemistry or certain commercial courses. Evidence exists to indicate that students doing poor work in these courses are often found deficient in arithmetic.


The Conchoid, James J. Blask Jun 1935

The Conchoid, James J. Blask

Bachelors’ Theses

The purpose of this thesis is to present 1n a simple and compact manner the conchoid, and to show its use in solving certain mathematical problems. Some of the better known curves related to the conchoid will also be discussed.


E, Doyle K. Brooks May 1935

E, Doyle K. Brooks

Master's Theses

The meteoric splendor of the transcendental constant e is an intriguing mystery. It rises unexpectedly from nowhere, brilliantly illuminates some obscure mathematical concept, points to its solution, and abruptly fades into oblivion. Its unheralded visitation leaves the student wiser but wondering, tantalized by its omnipotence in apparently unrelated fields. Ever since his first introduction to e in elementary logarithms it has seemed to the writer that all the authors of textbooks are in a conspiracy to defeat any real knowledge of e. They say "2.71828… , called e, is the base of Naperian logarithms." Why? "The derivative of eX is …


On The Summability Of A Certain Class Of Series Of Jacobi Polynomials, A. P. Cowgill Jan 1935

On The Summability Of A Certain Class Of Series Of Jacobi Polynomials, A. P. Cowgill

Department of Mathematics: Faculty Publications

The result obtained in this paper is as follows:
The series Σni[((p + 1)(p +3)…(p +2n -1)) ÷(2nn!) X((p-1)/2)n (x), where Xn(p-1)/2(x) (hereafter indicated simply by Xn) is a symmetric Jacobi polynomial p >-1, and i a positive integer, is summable (C, k),k>i—1/2, for the range -1 <x<1.


An Application Of A Theorem Of Borel On Natural Boundaries To The Theta-Zero Functions And Analogous Functions, Louis William Tordella Jan 1935

An Application Of A Theorem Of Borel On Natural Boundaries To The Theta-Zero Functions And Analogous Functions, Louis William Tordella

Master's Theses

No abstract provided.