Items related to The Metric Classification of Conics and Quadrics: Thesis...

The Metric Classification of Conics and Quadrics: Thesis for the Degree of Bachelor of Arts in General Science, in the College of Science of the ... Presented June, 1910 (Classic Reprint) - Softcover

George Rutledge

 
9781528228268: The Metric Classification of Conics and Quadrics: Thesis for the Degree of Bachelor of Arts in General Science, in the College of Science of the ... Presented June, 1910 (Classic Reprint)

Synopsis

This book offers a definitive and detailed look at the processes of classifying conics and quadrics, enabling readers to classify a conic or quadric into its type - such as a parabola, hyperbola, or ellipse - from the equation alone, without any need for further calculation beyond determining the rank of the determinant of the equation to be simplified. The author presents a purely analytic treatment of the subject, leading up to a simple rule for determining the coefficients of the reduced equation, which is given by Bromwich in his book on "Quadratic Forms." The content is designed to furnish simple proofs of theorems from the theory of determinants as are essential to the reading of the chapters following, but which are not ordinarily familiar to the student who has had merely an introductory course in determinants.

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