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Elsevier

Academic Press

  • Constrained Optimization and Lagrange Multiplier Methods

    • 1st Edition
    • Dimitri P. Bertsekas
    • Werner Rheinboldt
    • English
    Computer Science and Applied Mathematics: Constrained Optimization and Lagrange Multiplier Methods focuses on the advancements in the applications of the Lagrange multiplier methods for constrained minimization. The publication first offers information on the method of multipliers for equality constrained problems and the method of multipliers for inequality constrained and nondifferentiable optimization problems. Discussions focus on approximation procedures for nondifferentiable and ill-conditioned optimization problems; asymptotically exact minimization in the methods of multipliers; duality framework for the method of multipliers; and the quadratic penalty function method. The text then examines exact penalty methods, including nondifferentiable exact penalty functions; linearization algorithms based on nondifferentiable exact penalty functions; differentiable exact penalty functions; and local and global convergence of Lagrangian methods. The book ponders on the nonquadratic penalty functions of convex programming. Topics include large scale separable integer programming problems and the exponential method of multipliers; classes of penalty functions and corresponding methods of multipliers; and convergence analysis of multiplier methods. The text is a valuable reference for mathematicians and researchers interested in the Lagrange multiplier methods.

  • Nonlinear Functional Analysis and Applications

    Proceedings of an Advanced Seminar Conducted by the Mathematics Research Center, the University of Wisconsin, Madison, October 12-14, 1970
    • 1st Edition
    • Louis B. Rall
    • English
    Nonlinear Functional Analysis and Applications provides information pertinent to the fundamental aspects of nonlinear functional analysis and its application. This book provides an introduction to the basic concepts and techniques of this field. Organized into nine chapters, this book begins with an overview of the possibilities for applying ideas from functional analysis to problems in analysis. This text then provides a systematic exposition of several aspects of differential calculus in norms and topological linear spaces. Other chapters consider the various settings in nonlinear functional analysis in which differentials play a significant role. This book discusses as well the generalized inverse for a bounded linear operator, whose range is not necessarily closed. The final chapter deals with the equations of hydrodynamics, which are usually highly nonlinear and difficult to solve. This book is a valuable resource for mathematicians. Readers who are interested in nonlinear functional analysis will also find this book useful.

  • A Century of Controversy

    Ethnological Issues from 1860 to 1960
    • 1st Edition
    • Elman R Service
    • E. A. Hammel
    • English
    A Century of Controversy: Ethnological Issues from 1860 to 1960 is an assessment of the history of ethnology in terms of its intellectual progress, with emphasis on the controversial issues that were broached between 1860 and 1960. Two related philosophical or theoretical poses that characterized the prominent ethnological thinkers of this period, and earlier, are related to this phenomenon. One was the prevalent positivism, the other the belief in human progress as a form of social, cultural, and mental evolution. Comprised of 19 chapters, this volume begins by looking at several eminent scholars dealing more closely with the subject of ethnology, including Henry Maine and John F. McLennan in Great Britain; Johann J. Bachofen in Switzerland; and Fustel de Coulanges in France. In particular, the chapter examines the disagreement among Maine, Bachofen, McLennan, and Fustel de Coulanges as to the nature of the earliest society and its form of marriage; the nature of the evolutionary transformations of society (especially from primitive society to civilization); and the actual meaning and function of kinship terminology. The next two chapters describe the positive, useful discoveries as well as the mistakes and weaknesses of Lewis H. Morgan's work, with particular reference to his classificatory kinship nomenclature. Subsequent sections focus on controversies surrounding kinship terminology; social structure; the origins of government; the economic life of primitive peoples; and society and culture. This book will be of interest to scholars of anthropology, archaeology, and ethnology.

  • Nonlinear Elasticity

    Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin—Madison April 16—18, 1973
    • 1st Edition
    • R. W. Dickey
    • English
    Nonlinear Elasticity presents a description of research and result on various nonlinear problems arising in elasticity. This book covers a variety of topics, including shallow elastic membranes, nonlinear elasticity, finite deformations of elastic solids, and nonlinear thermoelasticity. Organized into 11 chapters, this book begins with an overview of the nonlinear theory of buckling of elastic shells. This text then examines the ways in which the energy criterion supplies a necessary condition for asymptotic stability. Other chapters consider some of the phenomena, both physical and mathematical, that typify the large deformation of a nonlinearly elastic body. This book discusses as well the concepts leading to a criterion for instabilities and discusses how the criterion applies to some well-known ideal materials. The final chapter deals with the structure of strong shocks and studies the evolution of such a shock produced by a suddenly-applied strain. This book is a valuable resource for mathematicians.

  • Understanding Language

    An Information-Processing Analysis of Speech Perception, Reading, and Psycholinguistics
    • 1st Edition
    • Dominic W. Massaro
    • English
    Understanding Language: An Information-Processi... Analysis of Speech Perception, Reading, and Psycholinguistics focuses on the progress of approaches, principles, and practices involved in speech perception, reading, and psycholinguistics. The selection first offers information on language and information processing, articulatory and acoustic characteristics of speech sounds, and acoustic features in speech perception. Discussions focus on vowel and consonant recognition, production of speech sounds, general acoustic properties and occurrence of speech sounds, vowel phonemes of English, and information, auditory, and visual information processing. The text then examines preperceptual images, processing time, and perceptual units in speech perception, theories of perception, and visual features, preperceptual storage, and processing time in reading. Topics include processing time, visual features, summary of information-processi... analysis of speech perception, role of linguistic structure in model building, and preperceptual images and processing time. The manuscript takes a look at an analysis of psychological studies of grammar, word and phrase recognition in speech processing, and linguistic theory and information processing, including psychological function of certain transformation rules, psychological reality of constituent structure, and linguistics and psychology. The selection is a vital source of data for researchers interested in speech perception, reading, and psycholinguistics.

  • International Conference on Differential Equations

    • 1st Edition
    • H.A. Antosiewicz
    • English
    International Conference on Differential Equations contains the proceedings of an International Conference on Differential Equations held at the University of Southern California, on September 3-7, 1974. The papers review advances in the qualitative-analytic theory of differential equations and highlight three broad areas: analytic theory (singular perturbations), qualitative theory (boundary value problems), and mathematical control theory (variational methods). Comprised of 82 chapters, this book begins with a discussion on continuous extensions, their construction, and their application in the theory of differential equations. The reader is then introduced to an approach to boundary control of partial differential equations based on the theory of semigroups of operators; lower closure and existence theorems in optimal control; and a nonlinear oscillation theorem. Subsequent chapters focus on matrices of rational functions; asymptotic integration of linear differential systems; solutions near bifurcated steady states; and geometric views in existence theory. This monograph will be of interest to students and instructors of mathematics.

  • Statistical Computer Performance Evaluation

    • 1st Edition
    • Walter Freiberger
    • English
    Statistical Computer Performance Evaluation contains the proceedings of a Conference on Statistical Computer Performance Evaluation held at Brown University in Providence, Rhode Island, on November 22-23, 1971, under the auspices of the Division of Applied Mathematics and the Center for Computer and Information Sciences. The papers review the application of quantitative, and particularly statistical, methods to the study of computer performance. Comprised of 19 chapters, this book begins with an overview of the state of the art of computer system evaluation and some quantitative methods (analytical, simulation, and empirical methods) that are applicable to the problem. A utility theoretic approach to evaluation of a time-sharing system is then described, followed by a discussion on the results of a multi-factor paging experiment. Subsequent chapters focus on statistical quantification of instruction and operand traces; measurement and improvement of program behavior under paging systems; free-storage algorithms; and probabilistic models for predicting software reliability. This monograph will be of interest to practitioners in the fields ofcomputer science and applied mathematics.

  • The Mathematical Theory of Coding

    • 1st Edition
    • Ian F. Blake + 1 more
    • English
    The Mathematical Theory of Coding focuses on the application of algebraic and combinatoric methods to the coding theory, including linear transformations, vector spaces, and combinatorics. The publication first offers information on finite fields and coding theory and combinatorial constructions and coding. Discussions focus on self-dual and quasicyclic codes, quadratic residues and codes, balanced incomplete block designs and codes, bounds on code dictionaries, code invariance under permutation groups, and linear transformations of vector spaces over finite fields. The text then takes a look at coding and combinatorics and the structure of semisimple rings. Topics include structure of cyclic codes and semisimple rings, group algebra and group characters, rings, ideals, and the minimum condition, chains and chain groups, dual chain groups, and matroids, graphs, and coding. The book ponders on group representations and group codes for the Gaussian channel, including distance properties of group codes, initial vector problem, modules, group algebras, andrepresentations, orthogonality relationships and properties of group characters, and representation of groups. The manuscript is a valuable source of data for mathematicians and researchers interested in the mathematical theory of coding.

  • A Theory of International Trade Under Uncertainty

    • 1st Edition
    • Elhanan Helpman + 1 more
    • Karl Shell
    • English
    A Theory of International Trade Under Uncertainty analyzes international trade in goods and securities in the presence of uncertainty using an integrated general equilibrium framework that recognizes the dependence of markets for goods on financial markets and vice versa. The usefulness of this approach is demonstrated by means of applications to questions such as the effects of international trade on resource allocation, tariff policy, and intervention in financial capital markets. Results which are important for theoretical as well as policy oriented applications are presented. Comprised of 11 chapters, this volume begins with an introduction to some of the fundamental elements of the deterministic Ricardian and Heckscher-Ohlin theories of international trade. Relevant elements from the theory of decision making under uncertainty are then discussed, along with the behavior of firms and consumers-investors in an economy with stock markets. Subsequent chapters focus on problems of commercial policy; gains from trade in goods and securities; and issues of intervention in financial capital markets. The book concludes by describing a dynamic model of international trade that contains an infinite horizon and takes into account the trade-off between present period consumption and savings. An example that illustrates an equilibrium structure of the dynamic model is presented. This monograph is intended for economists who are interested in international trade or international finance, including graduate students who specialize in these fields.

  • The Economics of Neighborhood

    Studies in Urban Economics
    • 1st Edition
    • David S. Segal
    • English
    The Economics of Neighborhood integrates neighborhood into contemporary notions of the urban economy. Neighborhood is viewed as a good with demand, supply, and equilibrium aspects. Topics covered range from demand for neighborhood and interneighborhood mobility to neighborhood choice and transportation services. The role of governments as suppliers of neighborhoods is also considered. Comprised of 12 chapters, this book begins with an introduction to some of the efforts to measure neighborhood effects and the approaches used in analyzing the role of neighborhood in the urban economy. The next section deals with the determinants of neighborhood demand in different eastern and midwestern cities in the United States in the mid- to late 1960s. The location choice of a sample of Pittsburgh households is examined, along with the role that neighborhood transition at the origin played in governing the decision to move or stay put. Subsequent chapters focus on the neighborhood choice of households already living in Washington, D.C., in 1968 as a joint prior choice of residential location, housing type, automobile ownership, and mode of travel to work; how the supply of certain kinds of neighborhoods can be determined by the interaction of residential demand and housing supply in the private sector; and optimum neighborhood supply by local governments. The concluding section analyzes neighborhood in an equilibrium setting, with emphasis on price outcomes and the quantity aspects of neighborhood. This monograph will be of value to economists as well as to researchers and students interested in urban economics.

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