In the first, 1986, edition of this book, inverse problems in vibration
were interpreted strictly: problems concerning the reconstruction of a
unique, undamped vibrating system, of a specified type, from specified
vibratory behaviour, particularly specified natural frequencies and/or
natural mode shapes.
In this new edition the scope of the book has been widened to include
topics such as isospectral systems- families of systems which all
exhibit some specified behaviour; applications of the concept of Toda
flow; new, non-classical approaches to inverse Sturm-Liouville problems;
qualitative properties of the modes of some finite element models;
damage identification.
With its emphasis on analysis, on qualitative results, rather than on
computation, the book will appeal to researchers in vibration theory,
matrix analysis, differential and integral equations, matrix analysis,
non-destructive testing, modal analysis, vibration isolation, etc.
"This book is a necessary addition to the library of engineers and
mathematicians working in vibration theory." Mathematical Reviews