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    • Probability, Statistics, and Queueing Theory

      • 1st Edition
      • May 10, 2014
      • Arnold O. Allen
      • Werner Rheinboldt
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 5 4 4 8
      • eBook
        9 7 8 1 4 8 3 2 6 6 5 9 6
      Probability, Statistics, and Queueing Theory: With Computer Science Applications focuses on the use of statistics and queueing theory for the design and analysis of data communication systems, emphasizing how the theorems and theory can be used to solve practical computer science problems. This book is divided into three parts. The first part discusses the basic concept of probability, probability distributions commonly used in applied probability, and important concept of a stochastic process. Part II covers the discipline of queueing theory, while Part III deals with statistical inference. This publication is designed as a junior-senior level textbook on applied probability and statistics with computer science applications, but is also a self-study book for practicing computer science (data processing) professionals.

    • Theory and Application of Special Functions

      • 1st Edition
      • May 10, 2014
      • Richard Askey
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 2 7 3 0
      • eBook
        9 7 8 1 4 8 3 2 1 6 1 6 4
      Theory and Application of Special Functions contains the proceedings of the Advanced Seminar on Special Functions sponsored by the Mathematics Research Center of the University of Wisconsin-Madison and held from March 31 to April 2, 1975. The seminar tackled the theory and application of special functions and covered topics ranging from the asymptotic estimation of special functions to association schemes and coding theory. Some interesting results, conjectures, and problems are given. Comprised of 13 chapters, this book begins with a survey of computational methods in special functions, followed by a discussion on unsolved problems in the asymptotic estimation of special functions. The reader is then introduced to periodic Bernoulli numbers, summation formulas, and applications; problems and prospects for basic hypergeometric functions; and linear growth models with many types and multidimensional Hahn polynomials. Subsequent chapters explore two-variable analogues of the classical orthogonal polynomials; special functions of matrix and single argument in statistics; and some properties of the determinants of orthogonal polynomials. This monograph is intended primarily for students and practitioners of mathematics.

    • Statistical Decision Theory and Related Topics III

      • 1st Edition
      • May 10, 2014
      • Shanti S. Gupta + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 9 9 0 3
      • eBook
        9 7 8 1 4 8 3 2 5 9 5 5 0
      Statistical Decision Theory and Related Topics III, Volume 2 is a collection of papers presented at the Third Purdue Symposium on Statistical Decision Theory and Related Topics, held at Purdue University in June 1981. The symposium brought together many prominent leaders and a number of younger researchers in statistical decision theory and related areas. This volume contains the research papers presented at the symposium and includes works on general decision theory, multiple decision theory, optimum experimental design, sequential and adaptive inference, Bayesian analysis, robustness, and large sample theory. These research areas have seen rapid developments since the preceding Purdue Symposium in 1976, developments reflected by the variety and depth of the works in this volume. Statisticians and mathematicians will find the book very insightful.

    • Recent Developments in Clustering and Data Analysis

      • 1st Edition
      • May 10, 2014
      • Chikio Hayashi + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 8 1 5 9
      • eBook
        9 7 8 1 4 8 3 2 6 3 0 9 0
      Recent Developments in Clustering and Data Analysis presents the results of clustering and multidimensional data analysis research conducted primarily in Japan and France. This book focuses on the significance of the data itself and on the informatics of the data. Organized into four sections encompassing 35 chapters, this book begins with an overview of the quantification of qualitative data as a method of analyzing statistically multidimensional data. This text then examines the rules of interpretation of correspondence cluster analysis by selecting classes and explaining variables involved in the algorithm of hierarchical classification. Other chapters consider the bootstrap and cross-validation methods, which are applied to the logistic ad nonparametric regression analyses of ordered categorical responses. The final chapter deals with a simpler treatment to classify the sleep state. This book is a valuable resource for researchers and workers in the fields from the behavioral sciences, biological sciences, medicine, and industrial sciences.

    • Foundations of Constraint Satisfaction

      • 1st Edition
      • May 10, 2014
      • Edward Tsang
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 7 0 6 3
      • eBook
        9 7 8 1 4 8 3 2 2 0 4 9 9
      Foundations of Constraint Satisfaction discusses the foundations of constraint satisfaction and presents algorithms for solving constraint satisfaction problems (CSPs). Most of the algorithms described in this book are explained in pseudo code, and sometimes illustrated with Prolog codes (to illustrate how the algorithms could be implemented). Comprised of 10 chapters, this volume begins by defining the standard CSP and the important concepts around it and presenting examples and applications of CSPs. The reader is then introduced to the main features of CSPs and CSP solving techniques (problem reduction, searching, and solution synthesis); some of the most important concepts related to CSP solving; and problem reduction algorithms. Subsequent chapters deal with basic control strategies of searching which are relevant to CSP solving; the significance of ordering the variables, values and compatibility checking in searching; specialized search techniques which gain their efficiency by exploiting problem-specific features; and stochastic search approaches (including hill climbing and connectionist approaches) for CSP solving. The book also considers how solutions can be synthesized rather than searched for before concluding with an analysis of optimization in CSPs. This monograph can be used as a reference by artificial intelligence (AI) researchers or as a textbook by students on advanced AI courses, and should also help knowledge engineers apply existing techniques to solve CSPs or problems which embed CSPs.

    • Numerical Solution of Partial Differential Equations—III, SYNSPADE 1975

      • 1st Edition
      • May 10, 2014
      • Bert Hubbard
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 0 7 7 0
      • eBook
        9 7 8 1 4 8 3 2 6 2 3 6 9
      Numerical Solution of Partial Differential Equations—III: Synspade 1975 provides information pertinent to those difficult problems in partial differential equations exhibiting some type of singular behavior. This book covers a variety of topics, including the mathematical models and their relation to experiment as well as the behavior of solutions of the partial differential equations involved. Organized into 16 chapters, this book begins with an overview of elastodynamic results for stress intensity factors of a bifurcating crack. This text then discusses the effects of nonlinearities, such as bifurcation, which occur in problems of nonlinear mechanics. Other chapters consider the equations of changing type and those with rapidly oscillating coefficients. This book discusses as well the effective computational methods for numerical solutions. The final chapter deals with the principal results on G-convergence, such as the convergence of the Green's operators for Dirichlet's and other boundary problems. This book is a valuable resource for engineers and mathematicians.

    • Nonlinear Analysis

      • 1st Edition
      • May 10, 2014
      • Erich H. Rothe
      • Lamberto Cesari + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 7 1 1 4
      • eBook
        9 7 8 1 4 8 3 2 6 2 5 4 3
      Nonlinear Analysis: A Collection of Papers in Honor of Erich H. Rothe is a collection of papers in honor of Erich H. Rothe, a mathematician who has made significant contributions to various aspects of nonlinear functional analysis. Topics covered range from periodic solutions of semilinear parabolic equations to nonlinear problems across a point of resonance for non-self-adjoint systems. Nonlinear boundary value problems for ordinary differential equations are also considered. Comprised of 14 chapters, this volume first discusses the use of fixed-point theorems in ordered Banach spaces to prove existence and multiplicity result for periodic solutions of semilinear parabolic differential equations of the second order. The reader is then introduced to linear maximal monotone operators and singular nonlinear integral equations of Hammerstein type. Subsequent chapters focus on the branching of periodic solutions of non-autonomous systems; restricted generic bifurcation; Tikhonov regularization and nonlinear problems at resonance; and minimax theorems and their applications to nonlinear partial differential equations. This monograph will be of interest to students and practitioners in the field of mathematics.

    • Progress in Immunology VI

      • 1st Edition
      • May 10, 2014
      • B Cinader + 1 more
      • English
      • eBook
        9 7 8 1 4 8 3 2 7 6 1 0 6
      Progress in Immunology VI: Sixth International Congress of Immunology contains the proceedings of the Sixth International Congress of Immunology held in 1986. The papers review advances that have been made in the field of immunology and cover topics ranging from ontogeny and differentiation of B and T lymphocytes to diversification of immunoglobulins and T cell receptors. Antigen presentation and processing, the complement system, and regulation of the immune response are also discussed. Comprised of 105 chapters, this book first explores the developmental biology of the immune system by focusing on the origins of selective theories of antibody formation and the clonal selection hypothesis. Clonal selection and the problem of immunologic tolerance are also considered. Subsequent chapters deal with the structure and function of recognition structures; B cell subsets and B cell activation; T cell subsets and T cell activation; lymphokines and growth factors; and autoimmune disorders. The remaining sections are devoted to oncogenesis and tumor immunity; the response of the host to the environment; and host-graft relationship. This monograph will be of interest to immunologists and biologists.

    • Introductory College Mathematics

      • 1st Edition
      • May 10, 2014
      • Harley Flanders + 1 more
      • English
      • eBook
        9 7 8 1 4 8 3 2 6 2 9 5 6
      Introductory College Mathematics: With Linear Algebra and Finite Mathematics is an introduction to college mathematics, with emphasis on linear algebra and finite mathematics. It aims to provide a working knowledge of basic functions (polynomial, rational, exponential, logarithmic, and trigonometric); graphing techniques and the numerical aspects and applications of functions; two- and three-dimensional vector methods; the fundamental ideas of linear algebra; and complex numbers, elementary combinatorics, the binomial theorem, and mathematical induction. Comprised of 15 chapters, this book begins with a discussion on functions and graphs, paying particular attention to quantities measured in the real number system. The next chapter deals with linear and quadratic functions as well as some of their applications. Tips on graphing are offered. Subsequent chapters focus on polynomial functions, along with graphs of factored polynomials; rational functions; exponential and logarithm functions; and trigonometric functions. Identities and inverse functions, vectors and matrices, and trigonometry are also explored, together with complex numbers, linear transformations, and the geometry of space. The book concludes by considering finite mathematics, with particular reference to mathematical induction and the binomial theorem. This monograph will be a useful resource for undergraduate students of mathematics and algebra.

    • Vector Analysis and Cartesian Tensors

      • 2nd Edition
      • May 10, 2014
      • D. E. Bourne + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 6 4 4 5
      • eBook
        9 7 8 1 4 8 3 2 6 0 7 0 9
      Vector Analysis and Cartesian Tensors, Second Edition focuses on the processes, methodologies, and approaches involved in vector analysis and Cartesian tensors, including volume integrals, coordinates, curves, and vector functions. The publication first elaborates on rectangular Cartesian coordinates and rotation of axes, scalar and vector algebra, and differential geometry of curves. Discussions focus on differentiation rules, vector functions and their geometrical representation, scalar and vector products, multiplication of a vector by a scalar, and angles between lines through the origin. The text then elaborates on scalar and vector fields and line, surface, and volume integrals, including surface, volume, and repeated integrals, general orthogonal curvilinear coordinates, and vector components in orthogonal curvilinear coordinates. The manuscript ponders on representation theorems for isotropic tensor functions, Cartesian tensors, applications in potential theory, and integral theorems. Topics include geometrical and physical significance of divergence and curl, Poisson's equation in vector form, isotropic scalar functions of symmetrical second order tensors, and diagonalization of second-order symmetrical tensors. The publication is a valuable reference for mathematicians and researchers interested in vector analysis and Cartesian tensors.

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