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Elsevier

Academic Press

  • Introduction to the Mathematical Theory of Control Processes

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

  • Group Transfer Syntheses Coupled to ATP Cleavage

    • 2nd Edition
    • Paul D. Boyer + 2 more
    • English

  • Mechanics of Deformable Bodies

    Lectures on Theoretical Physics, Vol. 2
    • 1st Edition
    • Arnold Sommerfeld
    • English
    Mechanics of Deformable Bodies: Lectures on Theoretical Physics, Volume II covers topics on the mechanics of deformable bodies. The book discusses the kinematics, statics, and dynamics of deformable bodies; the vortex theory; as well as the theory of waves. The test also describes flow with given boundaries. Supplementary notes on selected hydrodynamic problems, as well as supplements to the theory of elasticity are also provided. Physicists, mathematicians, and students taking related courses will find the book invaluable.

  • The Gravity Field of the Earth

    From Classical and Modern Methods
    • 1st Edition
    • Michele Caputo
    • J. Van Mieghem
    • English
    International Geophysics Series, Volume 10: The Gravity Field of the Earth: From Classical and Modern Methods explores the theory of the gravity field of the earth based on both classical and modern methods. Classical method involves observations of gravity taken over the earth's surface, while the modern method uses observations of variation of orbital elements of artificial satellites caused by the gravity field of the earth. This book is organized into two parts encompassing 12 chapters. Part I describes the solution of physical problems that are treated as Dirichlet problems or solved by means of integral equations. This part also deals with the determination of the geoid form from ground gravity measurements using the Stokes formula. The method of obtaining the Stokes formula by means of an integral equation is also outlined. Part II contains modern mathematical techniques developed to utilize the observations of artificial satellites for geodetic purposes. This book could be used as a textbook for students in the fields of geodesy, geophysics, or astronomy.

  • Energy at the Surface of the Earth

    An Introduction to the Energetics of Ecosystems
    • 1st Edition
    • David H. Miller
    • J. Van Mieghem + 1 more
    • English
    Energy at the Surface of the Earth: An Introduction to the Energetics of Ecosystems presents way of looking at the manner in which the biological, physical, and cultural systems that mantle the landmasses of our planet receive, transform, and give off energy, which is an essential condition of existence that takes many forms. Energy conversions establish the climate in which these systems operate. The principal forms of energy that are converted at the ecosystem scale include radiant, latent, mechanical, chemical and fossil, and thermal. The book begins with radiant energy absorbed by ecosystems—a phenomenon that is independent of their surface temperature and that can be looked on as a burden or a gift, depending on circumstances. An increase in such absorption raises surface temperature, as described in the fulcrum chapter of the book, Chapter VIII. This increase in turn sets into action outflows of energy that by the first law of thermodynamics are equal in energy units, although not necessarily equal in quality to the inflows. The final chapters deal with vertical stratification and areal contrasts in energy budgets, the augmented energy budget of the city, and the responses that serve to keep the budget balanced.

  • 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.

  • Comparison and Oscillation Theory of Linear Differential Equations

    • 1st Edition
    • C. A. Swanson
    • Richard Bellman
    • English
    Mathematics in Science and Engineering, Volume 48: Comparison and Oscillation Theory of Linear Differential Equations deals primarily with the zeros of solutions of linear differential equations. This volume contains five chapters. Chapter 1 focuses on comparison theorems for second order equations, while Chapter 2 treats oscillation and nonoscillation theorems for second order equations. Separation, comparison, and oscillation theorems for fourth order equations are covered in Chapter 3. In Chapter 4, ordinary equations and systems of differential equations are reviewed. The last chapter discusses the result of the first analog of a Sturm-type comparison theorem for an elliptic partial differential equation. This publication is intended for college seniors or beginning graduate students who are well-acquainted with advanced calculus, complex analysis, linear algebra, and linear differential equations.

  • Medical Virology

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

  • 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.

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