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Elsevier

Books in Physical sciences and engineering

  • 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.

  • Advanced Topics in the Theory of Dynamical Systems

    Notes and Reports in Mathematics in Science and Engineering, Vol. 6
    • 1st Edition
    • G. Fusco + 2 more
    • English
    Advanced Topics in the Theory of Dynamical Systems covers the proceedings of the international conference by the same title, held at Villa Madruzzo, Trento, Italy on June 1-6, 1987. The conference reviews research advances in the field of dynamical systems. This book is composed of 20 chapters that explore the theoretical aspects and problems arising from applications of these systems. Considerable chapters are devoted to finite dimensional systems, with special emphasis on the analysis of existence of periodic solutions to Hamiltonian systems. Other chapters deal with infinite dimensional systems and the developments of methods in the general approach to existence and qualitative analysis problems in the general theory, as well as in the study of particular systems concerning natural sciences. The final chapters discuss the properties of hyperbolic sets, equivalent period doubling, Cauchy problems, and quasiperiodic solitons for nonlinear Klein-Gordon equations. This book is of value to mathematicians, physicists, researchers, and advance students.

  • Introduction to the Mathematical Theory of Control Processes

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

  • 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.

  • Carbon Dioxide Capture for Storage in Deep Geologic Formations - Results from the CO² Capture Project

    Vol 1 - Capture and Separation of Carbon Dioxide from Combustion
    • 1st Edition
    • David C Thomas + 1 more
    • 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.

  • TAUP 91

    Proceedings of the Second International Workshop on Theoretical and Phenomenological Aspects of Underground Physics
    • 1st Edition
    • A. Morales + 2 more
    • English
    TAUP 91 covers the proceedings of the Second International Workshop on Theoretical and Phenomenological Aspects of Underground Physics, held in Toledo, Spain on September 9-13, 1991. The book focuses on the processes, methodologies, reactions, and transformations involved in underground physics. The selection first offers information on the fundamental issues in particle astrophysics and an overview of the problems related to general cosmology. Topics include connections between particle physics, astrophysics, and cosmology, stellar physics and particles, astrophysical ages, cosmic background radiation, and abundances of light elements. The text also takes a look at big bang nucleosynthesis constraints on new physics and microwave background radiation. The publication ponders on very wide band interferometric gravitational wave antenna and search for stellar gravitational collapse by macro. The text also examines high energy cosmic neutrinos of acceleration and non-acceleration origin; tests of general relativity and Newtonian gravity at large distances and the dark matter problem; and nuclear form factors for the scattering of neutralinos. The selection is a valuable reference for readers interested in underground physics.

  • The Hadron Mass Spectrum

    Proceedings of the Rheinfels Workshop on the Hadron Mass Spectrum, St. Goar, Germany September 3-6 1990
    • 1st Edition
    • E. Klempt + 1 more
    • English
    The Hadron Mass Spectrum covers the proceedings of the Rheinfels Workshop on the Hadron Mass Spectrum, held in St. Goar, Germany on September 3-6, 1990. The book focuses on the processes, methodologies, and reactions involved in hadron spectroscopy. The selection first offers information on strange meson and strangeonium spectroscopy and strangeonium production from LASS. The book also takes a look at the status of strange meson spectroscopy, including status of the spectroscopy, systematics of the level structure, and contributions from LASS. The publication examines the scalar meson enigma and two photon couplings of scalar and tensor mesons. The manuscript also touches on rhoprimes, omegaprimes, and glueballs; meson production mechanisms and selection criteria for cryptoexotic states; and light meson spectroscopy and threshold effects. The selection is a dependable reference for readers interested in hadron mass spectrum.

  • 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.

  • The Old Quantum Theory

    • 1st Edition
    • D. Ter Haar
    • 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.

  • Algebra of Proofs

    • 1st Edition
    • M. E. Szabo
    • K. J. Barwise + 2 more
    • English
    Algebra of Proofs deals with algebraic properties of the proof theory of intuitionist first-order logic in a categorical setting. The presentation is based on the confluence of ideas and techniques from proof theory, category theory, and combinatory logic. The conceptual basis for the text is the Lindenbaum-Tarski algebras of formulas taken as categories. The formal proofs of the associated deductive systems determine structured categories as their canonical algebras (which are of the same type as the Lindenbaum-Tarski algebras of the formulas of underlying languages). Gentzen's theorem, which asserts that provable formulas code their own proofs, links the algebras of formulas and the corresponding algebras of formal proofs. The book utilizes the Gentzen's theorem and the reducibility relations with the Church-Rosser property as syntactic tools. The text explains two main types of theories with varying linguistic complexity and deductive strength: the monoidal type and the Cartesian type. It also shows that quantifiers fit smoothly into the calculus of adjoints and describe the topos-theoretical setting in which the proof theory of intuitionist first-order logic possesses a natural semantics. The text can benefit mathematicians, students, or professors of algebra and advanced mathematics.

  • Intensional and Higher-Order Modal Logic

    • 1st Edition
    • Daniel Gallin
    • English
    North-Holland Mathematics Studies, 19: Intensional and Higher-Order Modal Logic: With Applications to Montague Semantics focuses on an approach to the problem of providing a precise account of natural language syntax and semantics, including the set-theoretic semantical methods, Boolean models, and two-sorted type theory. The book first offers information on intensional logic and alternative formulations of intensional logic. Topics include two-sorted type theory, normal forms, extensions and intensional logic, modal T-logic, persistence in intensional logic, generalized completeness of intensional logic, and natural language and intensional logic. The text then examines higher-order modal logic and algebraic semantics. Discussions focus on Cohen's independence results, topological models of MLp, modal independence results, Boolean models of MLp, relative strength of intensional logic and MLp, propositional operators, modal predicate logic, and propositions in MLp. The monograph is a valuable reference for mathematicians and researchers interested in intensional and higher-order modal logic.

  • KWIC Index of Rock Mechanics Literature

    • 1st Edition
    • J P Jenkins + 1 more
    • English
    KWIC Index of Rock Mechanics Literature, Part 2: 1969-1976 is an index of subjects in rock mechanics. The KWIC (keyword-in-context) index is produced by cyclic permutation of significant words in the title of the publication. The text covers materials in rock mechanics and geomechanics published around the 70s. The book will be of great use to students, researchers, and practitioners of geological sciences.

  • Theoretical Approaches of Heavy Ion Reaction Mechanisms

    Proceedings of the International Conference on Theoretical Approaches of Heavy Ion Reaction Mechanisms, Paris, May 14–18, 1984
    • 1st Edition
    • M. Martinot + 2 more
    • English
    Theoretical Approaches of Heavy Ion Reaction Mechanisms provides information pertinent to heavy ion reactions and nuclear fission at low energies. This book discusses the features of the time-dependent solution of the Kramer–Chandrasekhar equation. Organized into 27 chapters, this book begins with an overview of the deexcitation process of a highly excited nucleus by means of its decay into two fragments. This text then presents a microscopic description to extract the characteristics features of the collective dynamics of the fission process at low energy. Other chapters consider nuclear fission as a transport process over the fission barrier. This book discusses as well the microscopic foundations of the phenomenological collective models. The final chapter deals with the composition of the baryons and mesons in terms of gluons and quarks. This book is a valuable resource for nuclear and high energy physicists. Experimentalists, theoreticians, and research workers will also find this book useful.

  • Progress in Analytical Atomic Spectroscopy

    Volume 7
    • 1st Edition
    • C L Chakrabarti
    • English
    Progress in Analytical Atomic Spectroscopy, Volume 7 is a collection of papers that covers the advances in analytical atomic spectroscopy. The book presents nine articles that cover areas such as methodologies and applications. The text first details the diagnostic opportunities of high voltage discharges, and then proceeds to presenting the practical applications of signal-to-noise treatment in analytical spectrometry. The next two chapters cover laser vaporization and ionization. Chapter 5 discusses the models in electrothermal atomization, while Chapter 6 tackles microwave induced plasma. The seventh chapter details equidensitometry. In the eighth chapter, the book talks about a study of sample volatilization in a graphite furnace by means of atomic and molecular absorption spectra. The last chapter covers the image sensor application in analytical spectrometry. The text will be of great use to chemists who aim to expand their knowledge in analytical spectrometry.

  • Aliphatic Compounds

    A Modern Comprehensive Treatise
    • 1st Edition
    • S. Coffey
    • English
    Rodd's Chemistry of Carbon Compounds: A Modern Comprehensive Treatise, Second Edition, Volume I, Part B: Monohydric Alcohols: Their Ethers and Esters, Sulfur Analogues, Nitrogen Derivatives, Organometallic Compounds focuses on the reactions, characteristics, transformations, and methodologies involved in halogeno- and nitroalkanols, singly-linked, mono-substituted, aliphatic hydrocarbons, and sulfur analogues of alcohols and their derivatives. The selection first offers information on the ethers and esters of monohydric alcohols and sulfur analogues of alcohols and their derivatives. Topics include alkyl peroxides, esters of mineral or organic acids, sulfides or thio-esters, alkyl polysulfides, alkylthiosulfuric acids, dialkyl sulfoxides or alkylsulphinylalkane... and sulfones. The book also considers nitrogen derivatives of aliphatic hydrocarbons, as well as amines and quaternary ammonium compounds, nitro-and nitroso-compounds, and N-substituted derivatives of the alkylamines. The publication takes a look at aliphatic organometallic and organometalloidal compounds. Discussions focus on beryllium, magnesium, calcium, strontium, and barium, lithium, sodium, potassium, and rubidium, and boron, aluminum, gallium, indium, and thallium. The text is a valuable reference for readers interested in carbon compounds.

  • 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.

  • Structural Design and Analysis

    Composite Materials, Vol. 8
    • 1st Edition
    • C. C. Chamis
    • English
    Composite Materials, Volume 8: Structural Design and Analysis, Part II covers the methods of structural design and analysis. The book discusses the discrete element analysis of composite structures; the concepts of probabilistic design and reliability as it pertains to composites; and the experimental methods for characterizing composites and composite components. The text also describes the state-of-the-art of the analysis of discontinuities, edge effects, and joints in composites; as well as the methodology for designing composite structural components. Materials scientists, materials engineers, and researchers of fiber composites will find the book invaluable.

  • EPS - High Energy Physics '89

    Proceedings of the International Europhysics Conference on High Energy Physics
    • 1st Edition
    • R. Fernandez Alvarez-Estrada + 2 more
    • English
    EPS - High Energy Physics '89 presents the proceeding of the International Europhysics Conference on High Energy physics, held in Madrid, Spain, on September 6–13, 1989. This book outlines several topics on the interface between cosmology/astrophysi... and particle physics. Organized into two parts encompassing 181 chapters, this compilation of papers begins with an overview of the implications of the cosmic light element abundances. This text then examines the various aspects of lattice field theory. Other chapters consider the theoretical evidence of a fundamental length in string theory and outline the main features of the higher order corrections to the heavy quark inclusive cross section. This book discusses as well the theory of heavy quark production in hadron collision. The final chapter deals with the idea of low-energy supersymmetry, which relates the scale of supersymmetry breaking to the origin and stability of the electroweak scale. This book is a valuable resource for astrophysicists, physicists, and scientists.

  • Lattice 91

    Proceeding of the International Symposium on Lattice Field Theory, Tsukuba, Japan 5–9 November 1991
    • 1st Edition
    • M. Fukugita + 2 more
    • English
    Lattice 91 covers the proceedings of the International Symposium on Lattice Field Theory held in Tsukuba, Japan on 5-9 November 1991. The book focuses on quantum chromodynamics, Higgs-fermion theories, QED, lattice quantum gravity and random surfaces, spin systems related to field theory, simulation algorithms, and dedicated computers. The selection first offers information on the QCD spectrum and phase diagram on the lattice and QCD at finite density, including phase structure of QCD, Monte-Carlo simulations with dynamical fermions, and quenched approximation. The book then tackles weak matrix elements, simulation of heavy quarks, and sphaleron induced baryon number non-conservation. The text reviews quantum gravity and random surfaces, recent analytic progress in finite size effects, and parallel QCD machines. Discussions focus on two-dimensional quantum gravity, signatures of resonance in finite volume, first order transitions, and determination of the running coupling. The publication also ponders on hadronic forces from the lattice, universality of the confinement string in multiple potentials, and confinement and saddle-point configurations. The selection is highly recommended for readers interested in the lattice field theory.

  • Recent Advances in Field Theory

    Proceedings of the Fourth Annecy Meeting on Theoretical Physics, Annecy-le-Vieux, France, 5–9 March 1990
    • 1st Edition
    • P. Binétruy + 2 more
    • English
    Recent Advances in Field Theory presents the proceedings of the Fourth Annecy Meeting on Theoretical Physics, held in Annecy-le-Vieux, France, on March 5–9, 1990. This book presents several relevant developments on the subject, including quantum algebra, two-dimensional quantum gravity, and topological quantum theories. Organized into 29 chapters, this book begins with an overview of the Hamiltonian quantization of the topological Chern–Simons theory. This text then examines the conformal affine Liouville model. Other chapters consider the global analyticity properties of functions correlated with causal kernels on de Sitter space. This book discusses as well the three particle models in terms of noncommutative gauge theory, namely, the Peccei-Quinn model, the Glashow–Weinberg–Sal... model, and the standard model. The final chapter deals with the development on the construction of lattice integrable models corresponding to the SU (N) coset conformal field theories. This book is a valuable resource for physicists and scientists.

  • Monohydric Alcohols Their Ethers and Esters Sulphur Analogues Nitrogen Derivatives Organometallic Compounds

    A Modern Comprehensive Treatise
    • 2nd Edition
    • S. Coffey
    • English
    Rodd’s Chemistry of Carbon Compounds, Second Edition, Volume 1: Aliphatic Compounds, Part B: Monohydric Alcohols, their Ethers and Esters, Sulphur Analogues, Nitrogen Derivatives, Organometallic Compounds describes the classification and nomenclature of singly-linked, mono-substituted, aliphatic hydrocarbons. This volume is composed of four chapters, and begins with a discussion on the nomenclature, preparations, and analysis halogeno- and nitro-alkanols. These topics are followed by the classification, nomenclature, preparation, and reactions of other aliphatic compound derivatives, including nitrogen derivatives and sulfur analogues. The concluding chapter focuses on the chemistry of aliphatic organometallic and organometalloidal compounds. Organic chemists and researchers will find this book invaluable.

  • Lattice 89

    Proceedings of the 1989 Symposium on Lattice Field Theory
    • 1st Edition
    • N. Cabbibo + 2 more
    • English

  • 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.

  • 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.

  • 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.

  • Topological Vector Spaces, Distributions and Kernels

    Pure and Applied Mathematics, Vol. 25
    • 1st Edition
    • François Treves
    • Paul A. Smith + 1 more
    • English
    Topological Vector Spaces, Distributions and Kernels discusses partial differential equations involving spaces of functions and space distributions. The book reviews the definitions of a vector space, of a topological space, and of the completion of a topological vector space. The text gives examples of Frechet spaces, Normable spaces, Banach spaces, or Hilbert spaces. The theory of Hilbert space is similar to finite dimensional Euclidean spaces in which they are complete and carry an inner product that can determine their properties. The text also explains the Hahn-Banach theorem, as well as the applications of the Banach-Steinhaus theorem and the Hilbert spaces. The book discusses topologies compatible with a duality, the theorem of Mackey, and reflexivity. The text describes nuclear spaces, the Kernels theorem and the nuclear operators in Hilbert spaces. Kernels and topological tensor products theory can be applied to linear partial differential equations where kernels, in this connection, as inverses (or as approximations of inverses), of differential operators. The book is suitable for vector mathematicians, for students in advanced mathematics and physics.

  • 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.

  • 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.

  • 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.

  • Proceedings of the Conference on Nuclear Structure in the Nineties

    Oak Ridge, Tennessee, April 23-27, 1990
    • 1st Edition
    • Noah R. Johnson
    • English

  • Structural Design and Analysis

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

  • 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.

  • Nonarchimedean Fields and Asymptotic Expansions

    • 1st Edition
    • A. H. Lightstone + 1 more
    • English
    North-Holland Mathematical Library, Volume 13: Nonarchimedean Fields and Asymptotic Expansions focuses on the connection between nonarchimedean systems and the orders of infinity and smallness that are related with the asymptotic behavior of a function. The publication first explains nonarchimedean fields and nonstandard analysis. Discussions focus on the method of mathematical logic, ultrapower construction, principles of permanence, internal functions, many-sorted structures, nonarchimedean fields and groups, and fields with evaluation. The text then discusses the Euler-Maclaurin expansions and the formal concept of asymptotic expansions. Topics include a generalized criterion for asymptotic expansions, asymptotic power series, Watson's Lemma, asymptotic sequences, and the Euler-Maclaurin formula. The manuscript examines Popken space, including asymptotically finite functions, convergence, norm, algebraic properties of the norm, and Popken's description of the norm. The text is a dependable reference for mathematicians and researchers interested in nonarchimedean fields and asymptotic expansions.

  • Optimization of Stochastic Systems

    Topics in Discrete-Time Systems
    • 1st Edition
    • Masanao Aoki
    • Richard Bellman
    • English

  • Mathematical Theory of Sedimentation Analysis

    • 1st Edition
    • Hiroshi Fujita
    • Eric Hutchinson + 1 more
    • English
    Mathematical Theory of Sedimentation Analysis deals with ultracentrifugal analysis. The book reviews flow equations for the ultracentrifuge, for two component systems, for multicomponent systems, and in chemically reacting systems. It explains the Svedberg equation and its extensions, and also the tests of the Onsager reciprocal relation. By employing a system consisting of two strong electrolytes and a solvent, the book illustrates that the sedimentation processes can be treated in terms of thermodynamics of irreversible processes. It also explains sedimentation-diffus... equilibrium and an approach to sedimentation equilibrium. It reviews the prediction of the time required to reach equilibrium, the estimates being made by Weaver (1926), and by Mason and Weaver (1924). The book employs sedimentation in a sector-shaped cell in a centrifugal field, of which the solutions of Mason and Weaver closely approximate the actual concentration distribution in the ultra-centrifuge cell. Other accurate solutions are by Fujita, Nazarian (1958), Yphantis, and Waugh. The book will prove valuable for mathematicians, physical chemists, biophysical chemists students, or professor of advanced mathematics.

  • 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.

  • The Optimal Design of Chemical Reactors

    A Study in Dynamic Programming
    • 1st Edition
    • Rutherford Aris
    • Richard Bellman
    • English
    Mathematics in Science and Engineering, Volume 3: The Optimal Design of Chemical Reactors: A Study in Dynamic Programming covers some of the significant problems of chemical reactor engineering from a unified point of view. This book discusses the principle of optimality in its general baring on chemical processes. Organized into nine chapters, this volume begins with an overview of the whole range of optimal problems in chemical reactor design. This text then provides the fundamental equations for reactions and reactors. Other chapters consider the objective function needed to define a realistic optimal problem and explain separately the main types of chemical reactors and their associated problems. This book discusses as well the three problems with a stochastic element. The final chapter deals with the optimal operation of existing reactors that may be regarded as partial designs in which only some of the variables can be optimally chosen. This book is a valuable resource for chemical engineers.

  • 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.

  • 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.

  • Localization of Nilpotent Groups and Spaces

    • 1st Edition
    • Peter Hilton + 2 more
    • Leopoldo Nachbin
    • English
    North-Holland Mathematics Studies, 15: Localization of Nilpotent Groups and Spaces focuses on the application of localization methods to nilpotent groups and spaces. The book first discusses the localization of nilpotent groups, including localization theory of nilpotent groups, properties of localization in N, further properties of localization, actions of a nilpotent group on an abelian group, and generalized Serre classes of groups. The book then examines homotopy types, as well as mixing of homotopy types, localizing H-spaces, main (pullback) theorem, quasifinite nilpotent spaces, localization of nilpotent complexes, and nilpotent spaces. The manuscript takes a look at the applications of localization theory, including genus and H-spaces, finite H-spaces, and non-cancellation phenomena. The publication is a vital source of data for mathematicians and researchers interested in the localization of nilpotent groups and spaces.

  • 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.

  • 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.

  • Advanced Biomass Gasification

    New Concepts for Efficiency Increase and Product Flexibility
    • 1st Edition
    • Steffen Heidenreich + 2 more
    • English
    Advanced Biomass Gasification: New Concepts for Efficiency Increase and Product Flexibility provides a thorough overview on new concepts in biomass gasification and consolidated information on advances for process integration and combination, which could otherwise only be gained by reading a high number of journal publications. Heidenreich, Müller and Foscolo, highly respected experts in this field, start their exploration with the compact UNIQUE reactor, gasification and pyrolysis, gasification and combustion, and catalysts and membranes. The authors then examine biomass pre-treatment processes, taking into account the energy balance of the overall conversion process, and look into oxygen-steam gasification and solutions for air separation, including new options for integration of O2-membranes into the gasifier. Several polygeneration strategies are covered, including combined heat and power (CHP) production with synthetic natural gas (SNG), biofuels and hydrogen, and new cutting-edge concepts, such as plasma gasification, supercritical water gasification, and catalytic gasification, which allows for insights on the future technological outlook of the area. This book is then a valuable resource for industry and academia-based researchers, as well as graduate students in the energy and chemical sectors with interest in biomass gasification, especially in areas of power engineering, bioenergy, chemical engineering, and catalysis.

  • Platform Chemical Biorefinery

    Future Green Chemistry
    • 1st Edition
    • Satinder Kaur Brar + 2 more
    • English
    Platform Chemical Biorefinery: Future Green Chemistry provides information on three different aspects of platform chemical biorefinery. The book first presents a basic introduction to the industry beneficial for university students, then provides engineering details of existing or potential platform chemical biorefinery processes helpful to technical staff of biorefineries. Finally, the book presents a critical review of the entire platform chemical biorefinery process, including extensive global biorefinery practices and their potential environmental and market-related consequences. Platform chemicals are building blocks of different valuable chemicals. The book evaluates the possibility of renewable feedstock-based platform chemical production and the fundamental challenges associated with this objective. Thus, the book is a useful reference for both academic readers and industry technical workers. The book guides the research community working in the field of platform chemical biorefinery to develop new pathways and technologies in combination with their market value and desirability.

  • Community-Based Psychological First Aid

    A Practical Guide to Helping Individuals and Communities during Difficult Times
    • 1st Edition
    • Gerard A Jacobs
    • English
    Community-Based Psychological First Aid: A Practical Guide to Helping Individuals and Communities during Difficult Times presents a practical method for helping those in need in difficult times. No advanced training in psychology is needed to use it. Injuries from disasters, terrorist events, and civil unrest are not just physical. These events also cause psychological trauma that can do lasting damage. Psychological First Aid (PFA) draws on human resilience and aims to reduce stress systems and help those affected recover. It is not professional psychotherapy, and those providing this kind of aid do not need a degree to help. Gerard Jacobs has developed this community-based method of delivering PFA over 20 years and has taught it in over 30 countries. Along with the easy-to-follow method, Jacobs includes examples of how this works in action in different situations, and presents scenarios to practice. Unique in its approach of community engagement to train community members to help each other, this guide is an excellent resource for local emergency managers to engage in whole community emergency management.

  • Semihypergroup Theory

    • 1st Edition
    • Bijan Davvaz
    • English
    Semihypergroup Theory is the first book devoted to the semihypergroup theory and it includes basic results concerning semigroup theory and algebraic hyperstructures, which represent the most general algebraic context in which reality can be modelled. Hyperstructures represent a natural extension of classical algebraic structures and they were introduced in 1934 by the French mathematician Marty. Since then, hundreds of papers have been published on this subject.

  • Magnetic Fusion Energy

    From Experiments to Power Plants
    • 1st Edition
    • George Neilson
    • English
    Magnetic Fusion Energy: From Experiments to Power Plants is a timely exploration of the field, giving readers an understanding of the experiments that brought us to the threshold of the ITER era, as well as the physics and technology research needed to take us beyond ITER to commercial fusion power plants. With the start of ITER construction, the world’s magnetic fusion energy (MFE) enterprise has begun a new era. The ITER scientific and technical (S&T) basis is the result of research on many fusion plasma physics experiments over a period of decades. Besides ITER, the scope of fusion research must be broadened to create the S&T basis for practical fusion power plants, systems that will continuously convert the energy released from a burning plasma to usable electricity, operating for years with only occasional interruptions for scheduled maintenance.

  • Applications of Time-of-Flight and Orbitrap Mass Spectrometry in Environmental, Food, Doping, and Forensic Analysis

    • 1st Edition
    • Volume 71
    • English
    Applications of Time-of-Flight and Orbitrap Mass Spectrometry in Environmental, Food, Doping, and Forensic Analysis deals with the use of high-resolution mass spectrometry (MS) in the analysis of small organic molecules. Over the past few years, time-of-flight (ToF) and Orbitrap MS have both experienced tremendous growth in a great number of analytical sectors and are now well established in many laboratories where high requirements are placed on analytical performance. This book gives a head-to-head comparison of these two technologies that compete directly with each other. As users with hands-on experience in both techniques, the authors provide a balanced description of the strengths and weaknesses of both techniques. In the vast majority of cases, ToF-MS and Orbitrap-MS have been used for qualitative purposes, mainly identification of discrete molecular entities such as drug metabolites or transformation products of environmental contaminants. This paradigm is now changing as quantitative capabilities are increasingly being explored, as are non-target approaches for unbiased broad-scope screening. In view of the continuous innovation of high-resolution MS instrument manufacturers in designing and developing more powerful machines, technological advances in both hardware and software are considerable, with many novel applications. This book summarizes and analyzes these trends. The compilation of selected examples from diverse analytical fields will allow the readers to discover not only the potential of high-resolution MS in their sector, but also shows advances in other fields that rely on hi-res MS.

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