This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other fields. The main objective of this book is to provide the basic concepts to enable the use of spectral and pseudospectral methods to solve problems in diverse fields of interest and to a wide audience. While spectral methods are generally based on Fourier Series or Chebychev polynomials, non-classical polynomials and associated quadratures are used for many of the applications presented in the book. Fourier series methods are summarized with a discussion of the resolution of the Gibbs phenomenon. Classical and non-classical quadratures are used for the evaluation of integrals in reaction dynamics including nuclear fusion, radial integrals in density functional theory, in elastic scattering theory and other applications. The subject matter includes the calculation of transport coefficients in gases and other gas dynamical problems based on spectral and pseudospectral solutions of the Boltzmann equation. Radiative transfer in astrophysics and atmospheric science, and applications to space physics are discussed. The relaxation of initial non-equilibrium distributions to equilibrium for several different systems is studied with the Boltzmann and Fokker-Planck equations. The eigenvalue spectra of the linear operators in the Boltzmann, Fokker-Planck and Schrödinger equations are studied with spectral and pseudospectral methods based on non-classical orthogonal polynomials. The numerical methods referred to as the Discrete Ordinate Method, Differential Quadrature, the Quadrature Discretization Method, the Discrete Variable Representation, the Lagrange Mesh Method, and others are discussed and compared. MATLAB codes are provided for most of the numerical results reported in the book - see Link under 'Additional Information' on the the right-hand column.

Analytical Methods for Pesticides and Plant Growth Regulators, Volume IX: Spectroscopic Methods of Analysis covers the progress in spectroscopic methods for pesticide analysis. The book discusses the use of high-pressure liquid chromatography coupled to mass spectrometry for the analysis of heat-labile compounds; and the applications of nuclear magnetic resonance spectroscopy and related techniques, and visible and ultraviolet spectrophotometry. The text also describes the applications of spectrophotofluorometry, infrared spectrometry, and a collection of infrared spectra of important pesticides. Toxicologists, chemists, and people working in pesticide laboratories will find the book invaluable.

Chemical Analysis and Material Characterization by Spectrophotometry integrates and presents the latest known information and examples from the most up-to-date literature on the use of this method for chemical analysis or materials characterization. Accessible to various levels of expertise, everyone from students, to practicing analytical and industrial chemists, the book covers both the fundamentals of spectrophotometry and instrumental procedures for quantitative analysis with spectrophotometric techniques. It contains a wealth of examples and focuses on the latest research, such as the investigation of optical properties of nanomaterials and thin solid films. - Covers the basic analytical theory that is essential for understanding spectrophotometry - Emphasizes minor/trace chemical component analysis - Includes the spectrophotometric analysis of nanomaterials and thin solid films - Thoroughly describes methods and uses easy-to-follow, practical examples and experiments

The determination of the concentrations of molecules in samples has long been an important application of spectroscopy. In the last 20 years advances in algorithms, computers, instruments, and software have led to a growing interest in this field. These developments mean samples and analytes that were once considered intractable are increasingly yielding usable calibrations. The purpose of this book is to give readers, without an advanced math background, a thorough grounding in the theory and practice of modern quantitative spectroscopic analysis. The author has placed great emphasis on providing the reader with everything they need to know to obtain a fundamental understanding of quantitative spectroscopy.·Relevant theory is explained in an easy to understand, conversational style. ·Actual spectroscopic data and calibrations are used throughout the book to show how real world calibrations are achieved. ·The complexities of Factor Analysis (PCR/PLS) algorithms are explained in pictures and words, making them understandable for all. ·Written from a spectroscopic rather than a mathematical point of view.·Relevant theory is interspersed with practical discussions in order to make difficult concepts easier to comprehend·It is a comprehensive introduction for novices, and an excellent reference for experts.·Topics on spectroscopy are included to emphasize its importance in quantitative spectroscopy

Given the inherent complexity of food products, most instrumental techniques employed for quality and authenticity evaluation (e.g., chromatographic methods) are time demanding, expensive, and involve a considerable amount of manual labor. Therefore, there has been an increasing interest in simpler, faster, and reliable analytical methods for assessing food quality attributes. Spectroscopic Methods in Food Analysis presents the basic concepts of spectroscopic methods, together with a discussion on the most important applications in food analysis. The determination of product quality and authenticity and the detection of adulteration are major issues in the food industry, causing concern among consumers and special attention among food manufacturers. As such, this book explains why spectroscopic methods have been extensively employed to the analysis of food products as they often require minimal or no sample preparation, provide rapid and on-line analysis, and have the potential to run multiple tests on a single sample (i.e., non-destructive). This book consists of concepts related to food quality and authenticity, that are quite broad, given the different demands of the manufacturer, the consumer, the surveillance and the legislative bodies that ultimately provide healthy and safe products.

Outlines the basic principles, advanced instrumentation, applications and future potential of a range of spectral techniques in food analysis. The book introduces new applications of GC-MS, LC-MS, MALDI TOF-MS, GC-FTIR, SFC-FTIR, ATR, and Raman spectroscopy. The book covers the identification and quantitation of food constituents, additives and contaminants.