Oscillation Matrices And Kernels And Small Vibrations Of Mechanical Systems

Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems

This Chelsea publication is now available in English for the general mathematical audience, 50 years after the original Russian edition was published. The book lays the foundation of what later became Krein's Theory of String. The original ideas stemming from mechanical considerations are developed with clarity and the book can be read profitably by both research mathematicians and engineers.

Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems

The exposition is self-contained. The first chapter presents all necessary results (with proofs) on the theory of matrices which are not included in a standard linear algebra course. The only prerequisite in addition to standard linear algebra is the theory of linear integral equations used in Chapter 5. The book is suitable for graduate students, research mathematicians and engineers interested in ordinary differential equations, integral equations, and theirapplications.

Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems