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Full-Text Articles in Physical Sciences and Mathematics

A Brief Consideration Of The Different Methods Of Integration, Donald Golden Nov 1937

A Brief Consideration Of The Different Methods Of Integration, Donald Golden

Master's Theses

Any student of mathematics is familiar with the importance of the process of integration. Integration is as fundamental to analysis as the basic principles of the number theory are to arithmetical calculation. Some of the common applications of integration are, finding the distance a falling body has travelled during a particular interval of time; to determine the equation of a curve, given different conditions (such as slope of the curve equal numerically to one-half the abscissa, or some similar problem); motion of a projectile; motion in a resisting medium; finding areas and volumes of revolution; length of a curve; areas …


The Theory Of Determinants: Some Special Forms And Applications, William Ralph Eikelberger May 1937

The Theory Of Determinants: Some Special Forms And Applications, William Ralph Eikelberger

Master's Theses

The theory of determinants is a relatively new branch of mathematics; it was not firmly established until a brief 200 years ago. It was not until the middle of the 18th century that Cramer, one of the independent discoverers of the fundamental idea, was fortunate enough to attract attention to the theory of determinants. Much of the literature is written on the assumption that its reader has a good background in the subject. Then other authors just give the fundamental properties of determinants without proof of their statements. These latter authors are not interested in the mathematical theory of determinants, …


Singular Solutions Of Differential Equations, John E. Klest Jan 1937

Singular Solutions Of Differential Equations, John E. Klest

Master's Theses

No abstract provided.