Many refined algebraic investigations were initiated on the part of Soviet mathematicians under the stimulus of the well known method of Academician A.N. Krylov (1931) for expanding the secular determinant, whose roots are the frequencies of the oscillations.nThe purpose of this book is to introduce the reader to a new circle of algebraic ideas, which, in our opinion, represents a natural mathematical base for the investigation of the so-called oscillation properties of small harmonic oscillations of linear elastic continua (transverse oscillations of strings, rods, multiple-span beams, torsional oscilla
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