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    • Contributions to Nonlinear Functional Analysis

      • 1st Edition
      • May 10, 2014
      • Eduardo H. Zarantonello
      • English
      • Paperback
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      • eBook
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      Contributions to Nonlinear Functional Analysis contains the proceedings of a Symposium on Nonlinear Functional Analysis, held in Madison, Wisconsin, on April 12-14, 1971, under the sponsorship of the University of Wisconsin's Mathematics Research Center. The symposium provided a forum for discussing various topics related to nonlinear functional analysis, from transversality in nonlinear eigenvalue problems to monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Comprised of 15 chapters, this book begins by presenting an extension of Leray-Schauder degree and an application to a nonlinear elliptic boundary value problem. The discussion then turns to the use of degree theory to prove the existence of global continua of solutions of nonlinear eigenvalue problems; transversality in nonlinear eigenvalue problems; and how variational structure can be used to study some local questions in bifurcation theory. Subsequent chapters deal with the notion of monotone operators and monotonicity theory; a nonlinear version of the Hille-Yosida theorem; a version of the penalty method for the Navier-Stokes equations; and various types of weak solutions for minimizing problems in the spirit of duality theory for convex functionals. This monograph will be of interest to students and practitioners in the field of mathematics who want to learn more about nonlinear functional analysis.
    • Production Sets

      • 1st Edition
      • May 10, 2014
      • Murray C. Kemp
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 1 5 7 9
      • eBook
        9 7 8 1 4 8 3 2 7 1 3 5 4
      Production Sets is a 12-chapter text that provides a comprehensive account of the properties of production sets. After a brief history of the analysis of production set possibilities, this book goes on examining the flatness of the transformation surface and the properties of production set possibilities with pure intermediate products. The succeeding chapters cover the shape aspects of production sets and the nonsubstitution over the production-possibili... frontier. These topics are followed by discussions of some implications of variable returns to scale, specifically the relation between output responses and the shape of the locus of production possibilities. The final chapters explore the production-possibili... set with public intermediate goods and the scale effect of public goods on production-possibili... sets. These chapters also look into the properties of the per capita production set in the two-sector model of economic growth. This book will prove useful to economists, teachers, and students.
    • Answers to Selected Problems in Multivariable Calculus with Linear Algebra and Series

      • 1st Edition
      • May 10, 2014
      • William F. Trench + 1 more
      • English
      • eBook
        9 7 8 1 4 8 3 2 2 0 4 5 1
      Answers to Selected Problems in Multivariable Calculus with Linear Algebra and Series contains the answers to selected problems in linear algebra, the calculus of several variables, and series. Topics covered range from vectors and vector spaces to linear matrices and analytic geometry, as well as differential calculus of real-valued functions. Theorems and definitions are included, most of which are followed by worked-out illustrative examples. The problems and corresponding solutions deal with linear equations and matrices, including determinants; vector spaces and linear transformations; eigenvalues and eigenvectors; vector analysis and analytic geometry in R3; curves and surfaces; the differential calculus of real-valued functions of n variables; and vector-valued functions as ordered m-tuples of real-valued functions. Integration (line, surface, and multiple integrals) is also covered, together with Green's and Stokes's theorems and the divergence theorem. The final chapter is devoted to infinite sequences, infinite series, and power series in one variable. This monograph is intended for students majoring in science, engineering, or mathematics.
    • Understanding Language

      • 1st Edition
      • May 10, 2014
      • Dominic W. Massaro
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 3 3 1 3
      • eBook
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      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.
    • Language Development and Aphasia in Children

      • 1st Edition
      • May 10, 2014
      • R. W. Rieber
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 5 3 5 5
      • eBook
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      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.
    • Directions in Partial Differential Equations

      • 1st Edition
      • May 10, 2014
      • Michael G. Crandall + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 7 7 5 6
      • eBook
        9 7 8 1 4 8 3 2 6 9 2 4 5
      Directions in Partial Differential Equations covers the proceedings of the 1985 Symposium by the same title, conducted by the Mathematics Research Center, held at the University of Wisconsin, Madison. This book is composed of 13 chapters and begins with reviews of the calculus of variations and differential geometry. The subsequent chapters deal with the study of development of singularities, regularity theory, hydrodynamics, mathematical physics, asymptotic behavior, and critical point theory. Other chapters discuss the use of probabilistic methods, the modern theory of Hamilton-Jacobi equations, the interaction between theory and numerical methods for partial differential equations. The remaining chapters explore attempts to understand oscillatory phenomena in solutions of nonlinear equations. This book will be of great value to mathematicians and engineers.
    • Contributions to Correlational Analysis

      • 1st Edition
      • May 10, 2014
      • Robert J. Wherry
      • English
      • Paperback
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      • eBook
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      Contributions to Correlational Analysis provides information pertinent to the fundamental aspects of correlational analysis that can be used to replace and enhance many of the parametric and nonparametric inferential statistical tests. This book discusses the basic concern of correctional analysis, which is the relationship between two sets of measure. Organized into 18 chapters, this book begins with an overview of the nature of correction analysis. This text then explains the simple linear relationships in which explains the simple linear relationships in which Y and X each consists of some single measurement per person and the relationship is assumed to be linear. Other chapters consider basic ways of expanding the process to include more or different measurements of either X or Y but with no attempt to find the best functions. This book discusses as well the topic of factor analysis. The final chapter deals with canonical correlation. This book is a valuable resource for psychologists.
    • Discrete Algorithms and Complexity

      • 1st Edition
      • May 10, 2014
      • David S. Johnson + 2 more
      • English
      • Paperback
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      • eBook
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      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.
    • Nonnegative Matrices in the Mathematical Sciences

      • 1st Edition
      • May 10, 2014
      • Abraham Berman + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 6 0 9 4
      • eBook
        9 7 8 1 4 8 3 2 6 0 8 6 0
      Nonnegative Matrices in the Mathematical Sciences provides information pertinent to the fundamental aspects of the theory of nonnegative matrices. This book describes selected applications of the theory to numerical analysis, probability, economics, and operations research. Organized into 10 chapters, this book begins with an overview of the properties of nonnegative matrices. This text then examines the inverse-positive matrices. Other chapters consider the basic approaches to the study of nonnegative matrices, namely, geometrical and combinatorial. This book discusses as well some useful ideas from the algebraic theory of semigroups and considers a canonical form for nonnegative idempotent matrices and special types of idempotent matrices. The final chapter deals with the linear complementary problem (LCP). This book is a valuable resource for mathematical economists, mathematical programmers, statisticians, mathematicians, and computer scientists.
    • Picture Languages

      • 1st Edition
      • May 10, 2014
      • Azriel Rosenfeld
      • Werner Rheinboldt
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 5 6 9 0
      • eBook
        9 7 8 1 4 8 3 2 6 8 5 5 2
      Computer Science and Applied Mathematics: Picture Languages: Formal Models for Picture Recognition treats pictorial pattern recognition from the formal standpoint of automata theory. This book emphasizes the capabilities and relative efficiencies of two types of automata—array automata and cellular array automata, with respect to various array recognition tasks. The array automata are simple processors that perform sequences of operations on arrays, while the cellular array automata are arrays of processors that operate on pictures in a highly parallel fashion, one processor per picture element. This compilation also reviews a collection of results on two-dimensional sequential and parallel array acceptors. Some of the analogous one-dimensional results and array grammars and their relation to acceptors are likewise covered in this text. This publication is suitable for researchers, professionals, and specialists interested in pattern recognition and automata theory.