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A study of selected second degree diophantine equations
Balay, Richard H.
Balay, Richard H.
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t1960_Balay.pdf
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1960-06
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Abstract
The purpose of this paper is to survey certain second
degree Diophantine equations, develop methods of solution,
and show how the solutions may be applied to related
problems. There are interesting geometric parallels to the
algebraic discussions on the following pages. It is the
writer's impression that these parallels lend a certain
additional elegance to the subject, therefore a geometrical
interpretation is often pointed out.
Table of Contents
Introduction -- Chapter I. three equations solvable geometrically -- Chapter II. Continued fractions and Pell's equation -- Chapter III. Quadratic forms and the partition problem -- Chapter IV. Summary -- Appendix
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Thesis (M.A.)-- University of Wichita, College of Liberal Arts and Sciences, Department of Mathematics
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Wichita State University
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Wichita State University