Skip to main content
Elsevier

Academic Press

  • Topics in Optimization

    • 1st Edition
    • George Leitmann
    • English
    Mathematics in Science and Engineering, Volume 31: Topics in Optimization compiles contributions to the field of optimization of dynamical systems. This book is organized into two parts. Part 1 covers reported investigations that are based on variational techniques and constitute essentially extensions of the classical calculus of variations. The contributions to optimal control theory and its applications, where the arguments are primarily geometric in nature, are discussed in Part 2. This volume specifically discusses the inequalities in a variational problem, singular extremals, mathematical foundations of system optimization, and synthesis of optimal controls. This publication is recommended for both theoreticians and practitioners.

  • Pattern Recognition by Humans and Machines

    Visual Perception
    • 1st Edition
    • Eileen C. Schwab + 1 more
    • English
    Pattern Recognitions by Humans and Machines, Volume 2: Visual Perceptions covers aspects of research on visual perception. The book discusses visual form perception, figure-ground organization, and the spatial and temporal responses of the visual system; eye movements; and visual pattern perception. The text also describes a computer vision model based on psychophysical experiments; perspectives from brain theory and artificial intelligence; and the capacity to extract shape properties and spatial relations among objects and objects' parts. Knowledge-mediated perception is also considered. Psychologists and people involved in the study of visual perceptions will find the book useful.

  • Concepts from Tensor Analysis and Differential Geometry

    • 1st Edition
    • Tracy Y. Thomas
    • Richard Bellman
    • English
    Concepts from Tensor Analysis and Differential Geometry discusses coordinate manifolds, scalars, vectors, and tensors. The book explains some interesting formal properties of a skew-symmetric tensor and the curl of a vector in a coordinate manifold of three dimensions. It also explains Riemann spaces, affinely connected spaces, normal coordinates, and the general theory of extension. The book explores differential invariants, transformation groups, Euclidean metric space, and the Frenet formulae. The text describes curves in space, surfaces in space, mixed surfaces, space tensors, including the formulae of Gaus and Weingarten. It presents the equations of two scalars K and Q which can be defined over a regular surface S in a three dimensional Riemannian space R. In the equation, the scalar K, which is an intrinsic differential invariant of the surface S, is known as the total or Gaussian curvature and the scalar U is the mean curvature of the surface. The book also tackles families of parallel surfaces, developable surfaces, asymptotic lines, and orthogonal ennuples. The text is intended for a one-semester course for graduate students of pure mathematics, of applied mathematics covering subjects such as the theory of relativity, fluid mechanics, elasticity, and plasticity theory.

  • 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.

  • Statistical Decision Theory in Adaptive Control Systems

    • 1st Edition
    • Yoshikazu Sawaragi + 2 more
    • Richard Bellman
    • English
    Mathematics in Science and Engineering, Volume 39: Statistical Decision Theory in Adaptive Control Systems focuses on the combination of control theory with statistical decision theory. This volume is divided into nine chapters. Chapter 1 reviews the history of control theory and introduces statistical decision theory. The mathematical description of random processes is covered in Chapter 2. In Chapter 3, the basic concept of statistical decision theory is treated, while in Chapter 4, the method of solving statistical decision problems is described. The application of statistical decision concepts to control problems is explained in Chapter 5. Chapter 6 elaborates a method of designing an adaptive control system. An application of the sequential decision procedure to the design of decision adaptive control systems is illustrated in Chapter 7. Chapter 8 is devoted to the description of a method of the adaptive adjustment of parameters contained in nonlinear control systems, followed by a discussion of the future problems in applications of statistical decision theory to control processes in the last chapter. This book is recommended for students and researchers concerned with statistical decision theory in adaptive control systems.

  • 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.

  • Real-Variable Methods in Harmonic Analysis

    • 1st Edition
    • Alberto Torchinsky
    • Samuel Eilenberg + 1 more
    • English
    Real-Variable Methods in Harmonic Analysis deals with the unity of several areas in harmonic analysis, with emphasis on real-variable methods. Active areas of research in this field are discussed, from the Calderón-Zygmund theory of singular integral operators to the Muckenhoupt theory of Ap weights and the Burkholder-Gundy theory of good ? inequalities. The Calderón theory of commutators is also considered. Comprised of 17 chapters, this volume begins with an introduction to the pointwise convergence of Fourier series of functions, followed by an analysis of Cesàro summability. The discussion then turns to norm convergence; the basic working principles of harmonic analysis, centered around the Calderón-Zygmund decomposition of locally integrable functions; and fractional integration. Subsequent chapters deal with harmonic and subharmonic functions; oscillation of functions; the Muckenhoupt theory of Ap weights; and elliptic equations in divergence form. The book also explores the essentials of the Calderón-Zygmund theory of singular integral operators; the good ? inequalities of Burkholder-Gundy; the Fefferman-Stein theory of Hardy spaces of several real variables; Carleson measures; and Cauchy integrals on Lipschitz curves. The final chapter presents the solution to the Dirichlet and Neumann problems on C1-domains by means of the layer potential methods. This monograph is intended for graduate students with varied backgrounds and interests, ranging from operator theory to partial differential equations.

  • Structural Design and Analysis

    Composite Materials, Vol. 7
    • 1st Edition
    • C. C. Chamis
    • English

  • The Upper Atmosphere

    Meteorology and Physics
    • 1st Edition
    • Richard A. Craig
    • J. Van Mieghem
    • English
    The Upper Atmosphere: Meteorology and Physics focuses on the study of the characteristics, movements, composition, and observations of the upper atmosphere. The book first offers information on the meteorological conditions in the lower stratosphere and the structure and circulation of the upper stratosphere and the mesosphere. Topics include balloon sounding systems, climatology of the lower stratosphere, disturbed circulation of the lower stratosphere, rocket measurements, and frequent measurements with balloons and meteorological rockets. The text then ponders on the sun's radiation and the upper atmosphere and composition of the stratosphere and mesosphere. The manuscript elaborates on the composition and structure of the thermosphere, including photochemical processes, diffusion, composition and structure measurements, and structure of the thermosphere. The text also ponders on radiative processes and heat transfer; atmospheric tides and winds in the lower thermosphere; and transport of properties in the upper atmosphere. The publication is a valuable source of information for readers interested in the meteorology and physics of the upper atmosphere.

  • 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.

Browse by Publisher