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Academic Press

  • Optimization of Stochastic Systems

    Topics in Discrete-Time Systems
    • 1st Edition
    • Masanao Aoki
    • Richard Bellman
    • English
  • 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.
  • 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.
  • Group Transfer Syntheses Coupled to ATP Cleavage

    • 2nd Edition
    • Paul D. Boyer + 2 more
    • English
  • Nonlinear Partial Differential Equations in Engineering

    Mathematics in Science and Engineering: A Series of Monographs and Textbooks, Vol. 18
    • 1st Edition
    • W. F. Ames
    • Richard Bellman
    • English
    Nonlinear Partial Differential Equations in Engineering discusses methods of solution for nonlinear partial differential equations, particularly by using a unified treatment of analytic and numerical procedures. The book also explains analytic methods, approximation methods (such as asymptotic processes, perturbation procedures, weighted residual methods), and specific numerical procedures associated with these equations. The text presents exact methods of solution including the quasi-linear theory, the Poisson-Euler-Darbou... equation, a general solution for anisentropic flow, and other solutions obtained from ad hoc assumptions. The book explores analytic methods such as an ad hoc solution from magneto-gas dynamics. Noh and Protter have found the Lagrange formulation to be a convenient vehicle for obtaining "soft" solutions of the equations of gas dynamics. The book notes that developing solutions in two and three dimensions can be achieved by employing Lagrangian coordinates. The book explores approximate methods that use analytical procedures to obtain solutions in the form of functions approximating solutions of nonlinear problems. Approximate methods include integral equations, boundary theory, maximum operation, and equations of elliptic types. The book can serve and benefit mathematicians, students of, and professors of calculus, statistics, or advanced mathematics.
  • Metallic Matrix Composites

    Composite Materials, Vol. 4
    • 1st Edition
    • Kenneth G. Kreider
    • English
    Composite Materials, Volume 4: Metallic Matrix Components provides an in-depth report and a reference on the technology of metal-matrix composites. The book starts by giving an introduction to metal-matrix composites, and by discussing the principal metal-laminate fabrication methods, the properties of metal laminates, and materials engineering of laminated-metal composites for specific applications. The text also describes the technology in eutectic superalloys of nickel and cobalt; nickel alloys reinforced with alpha-Al2O3 filaments; and the problems and progress encountered in developing wire-reinforced superalloys. The fiber-reinforced titanium alloys; the development of metal-matrix composites reinforced with high-modulus graphite fibers; as well as the development, the physical and mechanical properties, and the engineering considerations for the use of boron-aluminum are also encompassed. Materials scientists and engineers will find the book invaluable.
  • Introduction to the Mathematical Theory of Control Processes

    Linear Equations and Quadratic Criteria
    • 1st Edition
    • Richard Bellman
    • Richard Bellman
    • English
  • Mechanics of Composite Materials

    Composite Materials, Vol. 2
    • 1st Edition
    • G. P. Sendeckyj
    • English
    Composite Materials, Volume 2: Mechanics of Composite Materials deals with the prediction of the deformation behavior and strength of composite materials. The book discusses the basic concepts in micromechanics, definition of effective moduli, and the influence of the number of fibers through-the-thicknes... within a single composite layer on the effective properties. The text also describes the exact moduli of anisotropie laminates; the elastic behavior of composites; and the viscoelastic behavior and analysis of composite materials. The elastoplastic behavior of composites, and the application of statistical theories for the determination of thermal, electrical, and magnetic properties of heterogeneous materials are also considered. The book further tackles the finite deformations of ideal fiber-reinforced composites; wave propagation and vibrations in directionally reinforced composites; and the phenomenological anisotropie failure criterion. The text also looks into the photoelastic investigation of composites. Civil engineers, mechanical engineers, aerospace engineers, and people involved in the study of non-metallic materials will find the book invaluable.
  • The Theory of Splines and Their Applications

    Mathematics in Science and Engineering: A Series of Monographs and Textbooks, Vol. 38
    • 1st Edition
    • J. H. Ahlberg + 2 more
    • Richard Bellman
    • English
    The Theory of Splines and Their Applications discusses spline theory, the theory of cubic splines, polynomial splines of higher degree, generalized splines, doubly cubic splines, and two-dimensional generalized splines. The book explains the equations of the spline, procedures for applications of the spline, convergence properties, equal-interval splines, and special formulas for numerical differentiation or integration. The text explores the intrinsic properties of cubic splines including the Hilbert space interpretation, transformations defined by a mesh, and some connections with space technology concerning the payload of a rocket. The book also discusses the theory of polynomial splines of odd degree which can be approached through algebraically (which depends primarily on the examination in detail of the linear system of equations defining the spline). The theory can also be approached intrinsically (which exploits the consequences of basic integral relations existing between functions and approximating spline functions). The text also considers the second integral relation, raising the order of convergence, and the limits on the order of convergence. The book will prove useful for mathematicians, physicist, engineers, or academicians in the field of technology and applied mathematics.
  • 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.