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This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade. Stimulating much of this growth are the applications of finite frames to diverse fields such as signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing. The first book entirely devoted to finite frames, it features extensive exercises and MATLAB examples for classroom use, important examples, and numerous illustrations. The book provides an overview of the field of finite tight frames and discusses future research directions in the field. The book is well suited as a textbook for a graduate course or seminar involving finite frames. The self-contained, user-friendly presentation also makes the work useful as a self-study resource or reference for graduate students, instructors, researchers, and practitioners in pure and applied mathematics, engineering, mathematical physics, and signal processing.

Intestinal Absorption of Metal Ions, Trace Elements, and Radionuclides focuses on the transport of metal ions across biological membranes. The selection first discusses fundamental considerations of ion transport across biological membranes, including passage of ions through the pores of gels or membranes; mobilities of organic and inorganic ions in water; and complexing of alkali metal ions. The text then focuses on ion transport across membranes of high ionic selectivity and transmissivity and their uses in model studies; model systems for transcellular active transport; and detection and implications of active salt transport across biological membranes. The book takes a look at the intestinal absorption of sodium, calcium, and potassium, including sodium and potassium transport in the intestines; use of radioisotopes to assess intestinal flux of calcium in humans; and calcium and structure of cell membranes. The intestinal absorption of zinc, cobalt, and strontium and absorption of copper from the gastrointestinal tract are underscored. The selection is a recommendable source of data for readers interested in the transport of metal ions across biological membranes.

Advances in Mass Spectrometry documents the proceedings of a Joint Conference on Mass Spectrometry held at the University of London, Great Britain on September 24-26, 1958. This compilation reviews the instruments, techniques, applications, and major developments in mass spectrometry over the past years. The topics discussed include the performance and image error correction of the new stigmatic focusing mass spectrograph; correction of second order aberrations in inhomogeneous magnetic sector fields; and high sensitivity solid source mass spectrometry. The isotope dilution analysis; digitization of mass spectra; ionization potentials of alkyl and halogenated alkyl free radicals; and negative ion formation and electric breakdown in some halogenated gases are also elaborated. This book likewise covers the mass spectrometer as a geological instrument and absorption and desorption of gases in the ionized state on metal and glass surfaces. This publication is a useful reference to students and researchers conducting work on mass spectrometry.