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Algebraic Geometry

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Articles 451 - 465 of 465

Full-Text Articles in Mathematics

A Remedial Program In The Four Fundamental Operations In Decimal Fractions, Hallie Ruth Weber Jul 1939

A Remedial Program In The Four Fundamental Operations In Decimal Fractions, Hallie Ruth Weber

Master's Theses or Doctor of Nursing Practice

Can the results of the teaching of the four fundamental operations in arithmetic be improved? This is an important question that confronts most teachers of arithmetic. How can the teacher eliminate the difficulties which interfere with pupil progress, and reduce the number of failures in arithmetic? A group diagnostic test will show not only the level of ability of pupils in the various operations, but will point out weaknesses so that the teacher may organize her work in such a way as to give time to those who are below the standard and omit deadening drill for those who are …

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Variation Of Moments With Distributions Of Masses And Areas, Mayo Glenwood Shults Jul 1939

Variation Of Moments With Distributions Of Masses And Areas, Mayo Glenwood Shults

Master's Theses or Doctor of Nursing Practice

The purpose of this investigation has been to determine the variations of the first, second, third and fourth moments as functions of distributions of masses and areas. These moments were found about a line or plane perpendicular to the horizontal axes of the figures, and at various distances along the axes. For a complete understanding of the problem, an explanation of various terms will be made in relation to mechanics statistics.

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The Segregation Of Real Roots Of Lower Orders, Ross W. Bland May 1939

The Segregation Of Real Roots Of Lower Orders, Ross W. Bland

Master's Theses or Doctor of Nursing Practice

The purpose of this thesis is the presentation of the better algebraic methods of the segregation of real roots of equations of lower orders and a brief historical sketch of the advance made in the development of algebra. Mention is also made of a few of the men who have made notable contributions to this field of mathematics and the time, as nearly as it is possible to determine it, when new ideas were discovered.

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Linearity In Factor Analysis, Opal Emmons May 1939

Linearity In Factor Analysis, Opal Emmons

Master's Theses or Doctor of Nursing Practice

The uniqueness of mathematics in that it is a science complete in itself makes it possible to apply mathematical tools to sciences which, in themselves vary widely in content. There is, however, a particular difficulty which must be surmounted. A given mathematical procedure may be valid in the science of mathematics but invalid in another science, such as psychology. The reason for this is that sometimes there is a discrepancy between the implicit assumptions in the field of mathematics and those implicit in the field of application. The purpose of this investigation is twofold: (1) To point out that linearity …

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Asymptotic Series, Bernard Martin Apr 1939

Asymptotic Series, Bernard Martin

Master's Theses or Doctor of Nursing Practice

The purpose of this thesis is to follow the development of the asymptotic series from the beginning made by Euler, in his solution of problems, to the modern applications of asymptotic series, also to present a definition and an analysis of asymptotic series, explain some different theories of their use, and show the ways in which they find common usage. The use of asymptotic series is a comparative new development in the field of applied mathematics. The divergent series were not used as a method of calculation until Euler showed that they gave close approximations in the solution of problems. …

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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 or Doctor of Nursing Practice

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 …

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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 or Doctor of Nursing Practice

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, …

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E, Doyle K. Brooks May 1935

E, Doyle K. Brooks

Master's Theses or Doctor of Nursing Practice

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 …

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The Important Lines In A Triangle, Jane Bogiel Aug 1934

The Important Lines In A Triangle, Jane Bogiel

Bachelors’ Theses

Geometry, as one of the fields of Mathematics, has been the object of extensive studies in ancient, Greek times, as well as in modern times, times of revival of scientific interests and researches. Analytical, descriptive, and projective geometry has been introduced as means of symplifying the study of the relations of different geometrical elements. Consequently, pure geometrical methods have been almost altogether abandonned, and, it is only in introducing basic geometrical concepts that they are now used. --This, however, seems to be the only reasonable course as long as the new methods do not change the basic structure of the …

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The Sine-Function, Audrey Siehr May 1934

The Sine-Function, Audrey Siehr

Bachelors’ Theses

Since the sine function is one of the most important elements of that phase of mathematics known as Trigonometry, it is only proper that we pause a moment for a short explanation of that subject. Trigonometry originated with the Greeks as the name itself implies. It was derived from the two Greek words trlgonon, meaning triangle; and metria, meaning measure. Trigonometry, then, dealt with problems related to measuring triangles.

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Methods Of Obtaining Asymptotes, Paul Sweetland May 1933

Methods Of Obtaining Asymptotes, Paul Sweetland

Master's Theses or Doctor of Nursing Practice

The purpose of this thesis is to present in logical order the more important methods of obtaining asymptotes. In several cases where two or more different methods for obtaining the same type of asymptotes were found the simpler method is given first and then the more difficult method. Most of the simpler methods are based on Analytic Geometry, while the more difficult are based on the Calculus.

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A Study Of The Groups Of The Regular Solids, Lawrence J. Stanton Apr 1933

A Study Of The Groups Of The Regular Solids, Lawrence J. Stanton

Bachelors’ Theses

Groups of movements are special groups in general group theory. Particular groups of movements are those obtained by rotating the regular solids. Before we take up the study of these groups of the regular solids, we shall first discuss subjects related to this work, namely, inversion in a sphere, stereographic projection, and rotations in a sphere.

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History Of Applied Geometry, Evelyn Jackson Jan 1930

History Of Applied Geometry, Evelyn Jackson

Electronic Theses and Dissertations

Mathematics: Just what does the word mean to us? After a moment of thought many different meanings may present themselves to our minds. At first we are inclined to say that the word mathematics covers a vast field. We are justified in so thinking because mathematics embraces a wide scope of study. Were we to say that it is a science we should place it in its proper genius, for it is truly a science of numbers and space. However, could not the science be the art of calculation or the art of computation?

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Hyperbolic Functions, Margaret S. Johnston Jun 1927

Hyperbolic Functions, Margaret S. Johnston

Bachelors’ Theses

A Study of hyperbolic functions is both interesting and fruitful because of their important and historical relation to the more elementary branches of Mathematics: Trigonometry, Analytical Geometry and Differential and Integral Calculus. Historically the development of hyperbolic functions has been closely associated with the development of the properties of the circle, ellipse, and hyperbola; the earliest knowledge of the functions rising out of a comparative study of these curves, and resting on more analogy rather than clear definition and proof.

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Inversion Applied To The Common Equations Of The Conic Sections, Edna Maria Cargill Jan 1898

Inversion Applied To The Common Equations Of The Conic Sections, Edna Maria Cargill

Student and Lippitt Prize Essays

A solution of applying inversion to the mathematic equation of conic sections, beginning with a definition of inversion and statement of the problem.

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