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Elsevier

Academic Press

  • Physics of Geomagnetic Phenomena

    International Geophysics Series, Vol. 2
    • 1st Edition
    • S. Matsushita + 1 more
    • English
    Physics of Geomagnetic Phenomena, Volume II covers the advances in geomagnetism and the penetrations into the generation of geomagnetic field phenomena. This book is composed of three chapters and begins with a discussion on various types of phenomenal disturbances, such as ionospheric and geomagnetic disturbance, aurora, and storm. The next chapter describes certain aspects of space geomagnetism based on satellite and rocket observations. This chapter also examines the origins of geomagnetic disturbance phenomena. The last chapter surveys the problems connected with studies of geomagnetic storms and auroras, along with a hydromagnetic model of these phenomena. This book will be of value to physicists, theoreticians, and scientists in allied fields of geomagnetism.

  • Mechanics

    Lectures on Theoretical Physics, Vol. 1
    • 1st Edition
    • Arnold Sommerfeld
    • English

  • 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.

  • Biofluid Mechanics

    Principles and Applications
    • 1st Edition
    • Ali Ostadfar
    • English
    Biofluid Mechanics is a throrough reference to the entire field. Written with engineers and clinicians in mind, this book covers physiology and the engineering aspects of biofluids. Effectively bridging the gap between engineers’ and clinicians’ knowledge bases, the text provides information on physiology for engineers and information on the engineering side of biofluid mechanics for clinicians. Clinical applications of fluid mechanics principles to fluid flows throughout the body are included in each chapter. All engineering concepts and equations are developed within a biological context, together with computational simulation examples as well. Content covered includes; engineering models of human blood, blood rheology in the circulation system and problems in human organs and their side effects on biomechanics of the cardiovascular system. The information contained in this book on biofluid principles is core to bioengineering and medical sciences.

  • Medical Virology

    • 3rd Edition
    • David O White + 1 more
    • English

  • A First Course in Rational Continuum Mechanics

    General Concepts
    • 1st Edition
    • C. Truesdell
    • Samuel Eilenberg + 1 more
    • English
    A First Course in Rational Continuum Mechanics, Volume 1: General Concepts describes general concepts in rational continuum mechanics and covers topics ranging from bodies and forces to motions and energies, kinematics, and the stress tensor. Constitutive relations are also discussed, and some definitions and theorems of algebra, geometry, and calculus are included. Exercises and their solutions are given as well. Comprised of four chapters, this volume begins with an introduction to rational mechanics by focusing on the mathematical concepts of bodies, forces, motions, and energies. Systems that provide possible universes for mechanics are described. The next chapter explores kinematics, with emphasis on bodies, placements, and motions as well as other relevant concepts like local deformation and homogeneous transplacement. The book also considers the stress tensor and Cauchy's fundamental theorem before concluding with a discussion on constitutive relations. This monograph is designed for students taking a course in mathematics or physics.

  • Adaptive Processes in Economic Systems

    • 1st Edition
    • Roy E. Murphy
    • Richard Bellman
    • English
    Mathematics in Science and Engineering, Volume 20, Adaptive Processes in Economic Systems demonstrates the usefulness of communications theory, self-adaptive control theory, and thermodynamic theory to certain economic processes. This book discusses the common properties of adaptive processes, role of the decision maker, and mixed adaptive processes of the first and second kind. The economic environmental processes, concept of entropy time, and stochastic dynamic economic process are also elaborated. This text likewise covers the investment model with full liquidity, adaptive capital allocation process, and concept of an economic state space. Other topics include the stochastic equilibrium in the market and individual adaptive behavior. This volume is suitable for engineers, economists, and specialists of disciplines related to economic systems.

  • Scattering Theory

    Pure and Applied Mathematics, Vol. 26
    • 1st Edition
    • Peter D. Lax + 1 more
    • Paul A. Smith + 1 more
    • English
    Scattering Theory describes classical scattering theory in contrast to quantum mechanical scattering theory. The book discusses the formulation of the scattering theory in terms of the representation theory. The text also explains the relation between the behavior of the solution of the perturbed problem at small distances for large positive times and the analytic continuation of the scattering matrix. To prove the representation theorem, the text cites the methods used by Masani and Robertson in their work dealing with stationary stochastic processes. The book also applies the translation representation theory to a wave equation to obtain a comparison of the asymptotic properties of the free space solution with those of the solution in an exterior domain. The text discusses the solution of the wave equation in an exterior domain by fitting this problem into the abstract framework to get a verification of the hypotheses in some other theorems. The general theory of scattering can be applied to symmetric hyperbolic systems in which all sound speeds are different from zero, as well as to the acoustic equation which has a potential that can cause an energy form to become indefinite. The book is suitable for proponents of analytical mathematics, particle physics, and quantum physics.

  • Convex Structures and Economic Theory

    • 1st Edition
    • Hukukane Nikaido
    • Richard Bellman
    • English
    Mathematics in Science and Engineering, Volume 51: Convex Structures and Economic Theory consists of an account of the theory of convex sets and its application to several basic problems that originate in economic theory and adjacent subject matter. This volume includes examples of problems pertaining to interesting static and dynamic phenomena in linear and nonlinear economic systems, as well as models initiated by Leontief, von Neumann, and Walras. The topics covered are the mathematical theorems on convexity, simple multisector linear systems, balanced growth in nonlinear systems, and efficient allocation and growth. The working of Walrasian competitive economies, special features of competitive economies, and Jacobian matrix and global univalence are also covered. This publication is suitable for advanced students of mathematical economics and related fields, but is also beneficial for anyone who wishes to become familiar with the basic ideas, methods, and results in the mathematical treatment in economic theory through a detailed exposition of a number of typical representative problems.

  • Atmosphere—Ocean Dynamics

    • 1st Edition
    • Adrian E. Gill
    • William L. Donn
    • English
    Atmosphere-Ocean Dynamics deals with a systematic and unified approach to the dynamics of the ocean and atmosphere. The book reviews the relationship of the ocean-atmosphere and how this system functions. The text explains this system through radiative equilibrium models; the book also considers the greenhouse effect, the effects of convection and of horizontal gradients, and the variability in radiative driving of the earth. Equations in the book show the properties of a material element, mass conservation, the balance of scalar quantity (such as salinity), and the mathematical behavior of the ocean and atmosphere. The book also addresses how the ocean-atmosphere system tends to adjust to equilibrium, both in the absence and presence of driving forces such as gravity. The text also explains the effect of the earth's rotation on the system, as well as the application of forced motions such as that produced by wind or temperature changes. The book explains tropical dynamics and the effects of variation of the Coriolis parameter with latitude. The text will be appreciated by meteorologists, environmentalists, students studying hydrology, and people working in general earth sciences.

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