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Elsevier

Academic Press

  • Theory of General Economic Equilibrium

    • 1st Edition
    • Trout Rader
    • English
    Theory of General Economic Equilibrium provides information pertinent to the general economic equilibrium theory. This book covers a variety of topics, including efficiency, economic systems analysis, welfare economics, and international trade. Organized into three parts encompassing eight chapters, this book begins with an overview of the theory of efficient production and growth where consumer preferences play a subordinate role. This text then examines that for the case where preferences satisfy appropriate conditions, efficiency theory is superseded as normative analysis by optimality theory. Other chapters consider the optimization of consumer preferences that leads to the decline of many families. This book discusses as well the existence of equilibrium, which is of importance to both normative and positive economics. The final chapter deals with the question of the speed with which the economic system attains its equilibrium state, which is assumed to be stationary. This book is a valuable resource for professional economists and advanced graduate students in economics.

  • Calculus with Analytic Geometry

    • 1st Edition
    • Harley Flanders + 1 more
    • English
    Calculus with Analytic Geometry presents the essentials of calculus with analytic geometry. The emphasis is on how to set up and solve calculus problems, that is, how to apply calculus. The initial approach to each topic is intuitive, numerical, and motivated by examples, with theory kept to a bare minimum. Later, after much experience in the use of the topic, an appropriate amount of theory is presented. Comprised of 18 chapters, this book begins with a review of some basic pre-calculus algebra and analytic geometry, paying particular attention to functions and graphs. The reader is then introduced to derivatives and applications of differentiation; exponential and trigonometric functions; and techniques and applications of integration. Subsequent chapters deal with inverse functions, plane analytic geometry, and approximation as well as convergence, and power series. In addition, the book considers space geometry and vectors; vector functions and curves; higher partials and applications; and double and multiple integrals. This monograph will be a useful resource for undergraduate students of mathematics and algebra.

  • Matrix Methods

    An Introduction
    • 1st Edition
    • Richard Bronson
    • English
    Matrix Methods: An Introduction is a nine-chapter text that emphasizes the methodological aspects of mathematical matrices. This book is intended for an introductory course in matrices similar to those given to sophomore and junior engineering students at Fairleigh Dickinson University. The first five chapters deal with the elementary aspects of matrices, including their definition, determinants, method of inversion, simultaneous linear equations, eigenvalues, and eigenvectors. The remaining chapters explore the materials of fundamental importance to both engineers and scientists. These chapters discuss the principles of matrix calculus, linear differential equations, Jordan canonical forms, and special matrices. A set of exercises is provided at the end of each section, which is basically routine in nature and serves primarily to enhance the reader's ability to use the methods just presented. On occasion, problems are assigned that will extend or complete topics previously introduced. This book is intended primarily for science, engineering, and applied mathematics students.

  • Language Development and Aphasia in Children

    New Essays and a Translation of Kindersprache und Aphasie by Emil Fröschels
    • 1st Edition
    • R. W. Rieber
    • English
    Language Development and Aphasia in Children: New Essays and a Translation of Kindersprache und Aphasie by Emil Fröschels deals with problems of theory, method, and therapy as well as the interpretation of language development and aphasia in children. A translation of Emil Fröschels' book Kindersprache und Aphasie into English (Child Language and Aphasia) is included. Comprised of 26 chapters, this book begins with a historical review that illustrates how the ideas of other influential figures laid the groundwork for Child Language and Aphasia (1918), including Géraud de Cordemoy and Denis Diderot. The discussion then turns to the environment that surrounded Child Language and Aphasia and some of Fröschels' observations regarding the nature of aphasia in children. The effect of left hemisphere arteriopathy on communicative intent, expression, and language comprehension in a right-handed nine-year-old girl is also examined. Subsequent chapters focus on theories of reading and language development; the psychology of association; the theory of the transitive contents of consciousness; and stuttering in children and aphasics. This monograph should be of considerable interest to students, researchers, and specialists in the fields of neurolinguistics, psycholinguistics, neuropsychology, and neurophysiology.

  • Quantitative Approximation

    Proceedings of a Symposium on Quantitative Approximation Held in Bonn, West Germany, August 20-24, 1979
    • 1st Edition
    • Ronald A. Devore + 1 more
    • English
    Quantitative Approximation provides information pertinent to nonlinear approximation, including rational approximation and optimal knot spline approximation. This book discusses spline approximation with the most emphasis on multivariate and knot independent questions. Organized into 26 chapters, this book begins with an overview of the inequality for the sharp function in terms of the maximal rearrangement. This text then examines the best co-approximation in a Hilbert space wherein the existence ad uniqueness sets are the closed flats. Other chapters consider the inverse of the coefficient matrix for the system satisfied by the B-spline coefficients of the cubic spline interpolant at knots. This book discusses as well the relationship between the structural properties of a function and its degree of approximation by rational functions. The final chapter deals with the problem of existence of continuous selections for metric projections and provides a solution for this problem. This book is a valuable resource for mathematicians.

  • Numerical Solution of Partial Differential Equations—II, Synspade 1970

    Proceedings of the Second Symposium on the Numerical Solution of Partial Differential Equations, SYNSPADE 1970, Held at the University of Maryland, College Park, Maryland, May 11-15, 1970
    • 1st Edition
    • Bert Hubbard
    • English
    Numerical Solution of Partial Differential Equations—II: Synspade 1970 provides information pertinent to the fundamental aspects of partial differential equations. This book covers a variety of topics that range from mathematical numerical analysis to numerical methods applied to problems in mechanics, meteorology, and fluid dynamics. Organized into 18 chapters, this book begins with an overview of the methods of the Rayleigh–Ritz–Galerk... type for the approximation of boundary value problems using spline basis functions and Sobolev spaces. This text then analyzes a special approach aimed at solving elliptical equations. Other chapters consider the approximation theoretic study of special sets of approximating functions. This book discusses as well combining the alternating-directio... methods with Galerkin methods to obtain highly efficient procedures for the numerical solution of second order parabolic and hyperbolic problems. The final chapter deals with the results concerning Chebyshev rational approximations of reciprocals of certain entire functions. This book is a valuable resource for mathematicians.

  • The Antigens

    Volume III
    • 1st Edition
    • Michael Sela
    • English
    The Antigens, Volume III is a comprehensive treatise covering all aspects of antigens, including their chemistry and biology as well as their immunologic role and expression. Topics covered range from microbial polysaccharides and lymphocytic receptors for antigens to antigenic determinants and antibody-combining sites. Allergens and the genetics of allergy are also explored. Comprised of seven chapters, this volume begins with a review of microbial polysaccharides as antigens, followed by a discussion on antigenic determinants and their specific reaction with antibody-combining sites. The reader is then introduced to the reaction of antigens with their specific receptors on lymphocytes. The next four chapters are concerned with several categories of more complex antigens which, in most cases, have yet to be characterized adequately at a molecular level: allergens, histocompatibility antigens, antigens of Mycoplasmatales and chlamydiae, and animal viruses. The book concludes with an analysis of virus infections and the immune responses they elicit. This monograph will be of interest to practitioners and researchers in immunology, experimental and clinical medicine, biochemistry, and other disciplines.

  • Discrete Algorithms and Complexity

    Proceedings of the Japan-US Joint Seminar, June 4 – 6, 1986, Kyoto, Japan
    • 1st Edition
    • David S. Johnson + 2 more
    • English
    Perspectives in Computing, Volume 15: Discrete Algorithms and Complexity provides an understanding of discrete algorithms and complexity. This book covers a variety of topics, including discrete logarithm algorithms, parallel bubbling, electronic prototyping, number theoretic complexity, and linear programming. Organized into 27 chapters, this volume begins with an overview of the basic solutions of the primal and dual that can be characterized in graph-theoretic terms. This text then explores the principal partition of vertex-weighted graphs, which is utilized to solve certain assignment problems or flow problems that are formulated using such graphs. Other chapters consider a polynomial-time algorithm for finding the geodesic center of a simple polygon. This book discusses as well the three efficient algorithms for the routing problems around a rectangle. The final chapter deals with a snoopy cache multiprocessor system wherein each processor has a cache in which it stores blocks of data. This book is a valuable resource for mathematicians and researchers.

  • Schools, Classrooms, and Pupils

    International Studies of Schooling from a Multilevel Perspective
    • 1st Edition
    • Stephen W. Raudenbush + 1 more
    • English
    Schools, Classrooms, and Pupils: International Studies of Schooling from a Multilevel Perspective examines "multilevel" or "hierarchical" linear models of research on schooling and the statistical and computational issues that arise in applying them. Some of the likely benefits of using multilevel methods to study schools and classrooms are also discussed, including the increased credibility of the statistical findings. Comprised of 15 chapters, this book begins by considering how the explicit modeling of the organizational structure of schooling creates new opportunities for research. After presenting a basic guide to the techniques of multilevel modeling, the effect of school, class, and individual variables on science achievement in Israeli elementary schools is analyzed using a two-level hierarchical model, with emphasis on reform in the science curriculum which began in the early 1970s. Subsequent chapters focus on the use of multilevel models to link educational progress with curriculum coverage; trends in attainment in Scottish secondary schools; the technical and vocational education initiative in Britain; and sex discrimination in teachers' salary. This monograph should be of considerable interest to students, teachers, school administrators, researchers, and educational policymakers.

  • Linear Integral Equations

    Theory and Technique
    • 1st Edition
    • Ram P. Kanwal
    • English
    Linear Integral Equations: Theory and Technique is an 11-chapter text that covers the theoretical and methodological aspects of linear integral equations. After a brief overview of the fundamentals of the equations, this book goes on dealing with specific integral equations with separable kernels and a method of successive approximations. The next chapters explore the properties of classical Fredholm theory and the applications of linear integral equations to ordinary and partial differential equations. These topics are followed by discussions of the symmetric kernels, singular integral equations, and the integral transform methods. The final chapters consider the applications of linear integral equations to mixed boundary value problems. These chapters also look into the integral equation perturbation methods. This book will be of value to undergraduate and graduate students in applied mathematics, theoretical mechanics, and mathematical physics.

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