Mathematical Analysis of Spectral Orthogonality

Citation

(2000), "Mathematical Analysis of Spectral Orthogonality", Sensor Review, Vol. 20 No. 1. https://doi.org/10.1108/sr.2000.08720aae.003

Mathematical Analysis of Spectral Orthogonality

J.H. Kalivas and P.M. LangMarcel Dekker, Inc.1994339 pp.ISBN 0-8247-9155-X£117.00 Hard cover

Keywords Spectroscopy, Spectral analysis, Mathematics

This book addresses the multicollinearity problem found in spectral measurements and offers a comprehensive look at multivariate approximation methods employed in quantitative spectral analysis.

Mathematical Analysis of Spectral Orthogonality is suitable for graduate level students, professional spectroscopists, applied mathematicians, chemometricians, biologists, geologists, chemists and biochemists and gives details of assessment methods for calculating the degree of multicollinearity in a set of spectra.

Chapter 1 discusses spectral orthogonality and covers topics including Beer's law, the K- and P-matrix model of Beer's law, multicollinearity sources and the treatment of multicollinearity. Various assessment methodologies are covered in the second chapter, which includes K and P-matrix analysis. Chapters 3, 4 and 5 discuss approximation methodologies, K-matrix analysis applications and P-matrix analysis applications, respectively.

Three appendices are included; Appendix A covers linear algebra and looks at vector space matrices, while Appendix B covers multivariable statistics. Appendix C discusses additional applications.

Although is book a well structured and comprehensive reference text, the style of writing used would make it unreadable to all but the most devoted disciples of the topic.