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Books in Physical sciences and engineering

  • Atomic and Molecular Processes

    • 1st Edition
    • D.R. Bates
    • English
    Atomic and Molecular Processes focuses on radiative and collisional processes involving atoms or molecules, including photoionization, elastic and inelastic scattering of electrons, energy loss by slow electrons, excitation, ionization, detachment, charge transfer, elastic scattering, and chemical reactions. The selection first offers information on forbidden and allowed transitions, including forbidden transitions in diatomic molecular spectra; forbidden transitions in crystals; calculations of atomic line strengths; and measurements of atomic transition probabilities. The book also ponders on photoionization processes, photodetachment, and high temperature shock waves. The manuscript elaborates on electronic and ionic recombination, elastic scattering of electrons, and the motions of slow electrons in gases. The book also evaluates the theory of excitation and ionization by electron impact; measurement of collisional excitation and ionization cross sections; and spectral line broadening in plasmas. The selection is a dependable reference for readers interested in atomic and molecular processes.

  • Physics of the Aurora and Airglow

    International Geophysics Series, Vol. 2
    • 1st Edition
    • Joseph W. Chamberlain
    • J. Van Mieghem
    • English
    International Geophysics Series, Volume 2: Physics of the Aurora and Airglow explores certain physical aspects of aurora and airglow. This volume is composed of 13 chapters and begins with surveys of the theory and spectroscopic and photometric analyses of radiation from the upper atmosphere. The subsequent chapters treat the geographic distribution of aurora and its physical processes in the atmosphere. Other chapters examine the theory of hydrogen emission in aurora, resonance scattering by atmospheric sodium, the excitation of the oxygen red lines in the airglow, and an atlas of the auroral spectrum. A chapter focuses on the analysis of twilight observations for emission heights. The concluding chapters discuss the theory of day airglow, as well as the spectral photometry and excitation of the nightglow. This book is of value to geophysicists, theoreticians, and scientists of the allied fields of geophysics.

  • Introduction to the Mathematical Theory of Control Processes

    Linear Equations and Quadratic Criteria
    • 1st Edition
    • Richard Bellman
    • Richard Bellman
    • English

  • Solution of Equations and Systems of Equations

    Pure and Applied Mathematics: A Series of Monographs and Textbooks, Vol. 9
    • 2nd Edition
    • A. M. Ostrowski
    • Paul A. Smith + 1 more
    • English
    Solution of Equations and Systems of Equations, Second Edition deals with the Laguerre iteration, interpolating polynomials, method of steepest descent, and the theory of divided differences. The book reviews the formula for confluent divided differences, Newton's interpolation formula, general interpolation problems, and the triangular schemes for computing divided differences. The text explains the method of False Position (Regula Falsi) and cites examples of computation using the Regula Falsi. The book discusses iterations by monotonic iterating functions and analyzes the connection of the Regula Falsi with the theory of iteration. The text also explains the idea of the Newton-Raphson method and compares it with the Regula Falsi. The book also cites asymptotic behavior of errors in the Regula Falsi iteration, as well as the theorem on the error of the Taylor approximation to the root. The method of steepest descent or gradient method proposed by Cauchy ensures "global convergence" in very general conditions. This book is suitable for mathematicians, students, and professor of calculus, and advanced mathematics.

  • Physics of the Marine Atmosphere

    International Geophysics Series, Vol. 7
    • 1st Edition
    • H. U. Roll
    • J. Van Mieghem
    • English
    International Geophysics Series, Volume 7: Physics of the Marine Atmosphere discusses the influence exerted by the sea surface on the properties of the atmosphere as well as on atmospheric processes of small and medium scale. This book is composed of six chapters that specifically consider the exchange occurring in the boundary layer between ocean and atmosphere. The opening chapters deal with the particular difficulties inherent in meteorological measurements at sea. The remaining chapters describe the flow characteristics, thermodynamics, chemistry, electricity, and radioactivity of the marine atmosphere. Emphasis is placed on the physical approach rather than on geographical aspects and those of application. A discussion of the empirical facts is followed by theoretical interpretation. Geophysicists, theoreticians, and scientists of the allied fields will find this book invaluable.

  • Treatise on Analysis

    • 1st Edition
    • J. Dieudonné
    • H. Bass + 2 more
    • English
    Treatise on Analysis, Volume 10–VIII provides information pertinent to the study of the most common boundary problems for partial differential equations. This book presents the study of Cauchy's problem in its most elementary form. Comprised of one chapter, this volume begins with an overview of Hilbert-von Neumann spectral theory and explores all possible boundary conditions related to spectral theory. This text then examines the link of Cauchy's problem with the behavior of the equation's characteristics. This book discusses as well the case of linear elliptic operators. The reader is also introduced to Sobolev spaces and some of their generalizations that provide an essential tool in the study of these elliptic problems, and their manipulation requires delicate upper bounds to obtain the best possible results. This book is a valuable resource for mathematicians.

  • The Scattering of Light and Other Electromagnetic Radiation

    • 1st Edition
    • Milton Kerker
    • Ernest M. Loebl
    • English
    The Scattering of Light and other Electromagnetic Radiation covers the theory of electromagnetic scattering and its practical applications to light scattering. This book is divided into 10 chapters that particularly present examples of practical applications to light scattering from colloidal and macromolecular systems. The opening chapters survey the physical concept of electromagnetic waves and optics. The subsequent chapters deal with the theory of scattering by spheres and infinitely long cylinders. These topics are followed by discussions on the application of light scattering to the determination of the size distribution of colloidal particles. The last chapters are devoted to the Rayleigh-Debye scattering and the scattering by liquids, as well as the concept of anisotropy. These chapters also describe the effect upon light scattering of partial orientation of anisotropic particles in electrical and magnetic fields and in viscous flow. This book is of value to physical chemists and physical chemistry researchers, teachers, and students.

  • Interfaces in Polymer Matrix Composites

    Composite Materials, Vol. 6
    • 1st Edition
    • Edwin P. Plueddemann
    • English
    Composite Materials, Volume 6: Interfaces in Polymer Matrix Composites covers the interface region as deduced from extensive practical studies of composite properties and from scientific studies of surfaces and surface modifiers. The book starts by providing a historical background on the studies and theories of the interface. The text then discusses the mechanics of load transfer at the interface; the surface chemistry of moisture-induced composite failure; and radioisotope studies of coupling agents at the interface. The use of silane coupling agents in particulate mineral filled composites; the mechanism of adhesion through silane coupling agents; as well as the high-modulus fibers and the fiber-resin interface in resin composites are also considered. Materials scientists, materials engineers, and design engineers will find the book invaluable.

  • An Introduction to Wavelets

    • 1st Edition
    • Charles K. Chui
    • English
    Wavelet Analysis and its Applications, Volume 1: An Introduction to Wavelets provides an introductory treatise on wavelet analysis with an emphasis on spline-wavelets and time-frequency analysis. This book is divided into seven chapters. Chapter 1 presents a brief overview of the subject, including classification of wavelets, integral wavelet transform for time-frequency analysis, multi-resolution analysis highlighting the important properties of splines, and wavelet algorithms for decomposition and reconstruction of functions. The preliminary material on Fourier analysis and signal theory is covered in Chapters 2 and 3. Chapter 4 covers the introductory study of cardinal splines, while Chapter 5 describes a general approach to the analysis and construction of scaling functions and wavelets. Spline-wavelets are deliberated in Chapter 6. The last chapter is devoted to an investigation of orthogonal wavelets and wavelet packets. This volume serves as a textbook for an introductory one-semester course on “wavelet analysis” for upper-division undergraduate or beginning graduate mathematics and engineering students.

  • Stability of Motion

    • 1st Edition
    • A. M. Liapunov
    • Richard Bellman
    • English
    Mathematics in Science and Engineering, Volume 30: Stability of Motion deals with the problem of stability of motion. This volume investigates the problem of stability of the unperturbed motion in cases such as the system of differential equations for the perturbed motion is autonomie and the characteristic equation of the linear system that gives the first approximation has a double zero root. When the order of the system is larger than two (n > 2), all the remaining roots have negative real parts. The double root corresponds to a multiple elementary divisor of the characteristic matrix. This book is a good reference for mathematicians, students, and specialists conducting work on the stability of motion.

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