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    • The Numerical Solution of Ordinary and Partial Differential Equations

      • 1st Edition
      • May 10, 2014
      • Granville Sewell
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 6 5 2 9
      • eBook
        9 7 8 1 4 8 3 2 5 9 1 4 7
      The Numerical Solution of Ordinary and Partial Differential Equations is an introduction to the numerical solution of ordinary and partial differential equations. Finite difference methods for solving partial differential equations are mostly classical low order formulas, easy to program but not ideal for problems with poorly behaved solutions or (especially) for problems in irregular multidimensional regions. FORTRAN77 programs are used to implement many of the methods studied. Comprised of six chapters, this book begins with a review of direct methods for the solution of linear systems, with emphasis on the special features of the linear systems that arise when differential equations are solved. The next four chapters deal with the more commonly used finite difference methods for solving a variety of problems, including both ordinary differential equations and partial differential equations, and both initial value and boundary value problems. The final chapter is an overview of the basic ideas behind the finite element method and covers the Galerkin method for boundary value problems. Examples using piecewise linear trial functions, cubic hermite trial functions, and triangular elements are presented. This monograph is appropriate for senior-level undergraduate or first-year graduate students of mathematics.

    • Computers in Nonassociative Rings and Algebras

      • 1st Edition
      • May 10, 2014
      • Robert E. Beck + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 5 9 6 7
      • eBook
        9 7 8 1 4 8 3 2 6 7 9 5 1
      Computers in Nonassociative Rings and Algebras provides information pertinent to the computational aspects of nonassociative rings and algebras. This book describes the algorithmic approaches for solving problems using a computer. Organized into 10 chapters, this book begins with an overview of the concept of a symmetrized power of a group representation. This text then presents data structures and other computational methods that may be useful in the field of computational algebra. Other chapters consider several mathematical ideas, including identity processing in nonassociative algebras, structure theory of Lie algebra, and representation theory. This book presents as well an historical survey of the use of computers in Lie algebra theory, with specific reference to computing the coupling and recoupling coefficients for the irreducible representations of simple Lie algebras. The final chapter deals with how representations of semi-simple Lie algebras can be symmetrized in a straightforward manner. This book is a valuable resource for mathematicians.

    • The Architecture of Supercomputers

      • 1st Edition
      • May 10, 2014
      • Daniel P. Siewiorek + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 6 5 9 8
      • eBook
        9 7 8 1 4 8 3 2 6 8 5 1 4
      The Architecture of Supercomputers: Titan, A Case Study describes the architecture of the first member of an entirely new computing class, the graphic supercomputing workstation known as Titan. This book is divided into seven chapters. Chapter 1 provides an overview of the Titan architecture, including the motivation, organization, and processes that created it. A survey of all the techniques to speed up computation is presented in Chapter 2. Chapter 3 reviews the issue of particular benchmarks and measures, while Chapter 4 analyzes a model of a concurrency hierarchy extending from the register set to the entire operating system. The architecture of Titan graphics supercomputer and its implementation are considered in Chapter 5. Chapter 6 examines the performance of Titan in terms of the various information flow data rates. The last chapter is devoted to the actual performance on benchmark kernels and how the architecture and implementation affect performance. This publication is recommended for architects and engineers designing processors and systems.

    • A Handbook of Integer Sequences

      • 1st Edition
      • May 10, 2014
      • N.J.A. Sloane
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 6 6 5 9
      • eBook
        9 7 8 1 4 8 3 2 6 4 6 7 7
      A Handbook of Integer Sequences contains a main table of 2300 sequences of integers that are collected from all branches of mathematics and science. This handbook describes how to use the main table and provides methods for analyzing and describing unknown and important sequences. This compilation also serves as an index to the literature for locating references on a particular problem and quickly finds numbers such as 712, number of partitions of 30, 18th Catalan number, or expansion of ? to 60 decimal places. Other topics include the method of differences, self-generating sequences, polyominoes, permutations, and puzzle sequences. This publication is a good source for students and researchers who are confronted with strange and important sequences.

    • Communication and Affect

      • 1st Edition
      • May 10, 2014
      • Thomas Alloway + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 5 4 7 9
      • eBook
        9 7 8 1 4 8 3 2 6 5 8 8 9
      Communication and Affect: A Comparative Approach examines the communication of affective or emotional feelings from a broad phylogenetic and ontogenetic perspective. The book presents basic research findings and theoretical orientations with regards to affective responses and communication involving humans, machines, chimpanzees, monkeys, dogs, and rodents. Comprised of seven chapters, this volume begins with a discussion on the development of love in primates throughout its entire sequential course, from the mother-infant stage of pious, proper propinquity to the adult stage of seasoned, salacious, seductive success. In all the stages of love, much of the essential social information is supplied by unlearned communications which are rapidly overlaid by a veneer of learning. Subsequent chapters explore attachment and dependence; signs of language in children and chimpanzees; affective aspects of aesthetic communication; the communication of affect and the possibility of human-machine interaction as a dyad; and development of affect in dogs and rodents. This book should be of use to psychologists, linguists, and educators interested in the evolution and development of communication and affect in mammals.

    • Income-Tested Transfer Programs

      • 1st Edition
      • May 10, 2014
      • Irwin Garfinkel
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 9 2 2 4
      • eBook
        9 7 8 1 4 8 3 2 6 0 4 9 5
      Income Tested Transfer Programs: The Case for and Against covers the proceedings of the 1979 conference of leading scientists, sponsored by the Institute for Research on Poverty. The contributors consider the contribution of social science knowledge and analysis in settling the arguments in the debate about the merits of income testing in transfer programs. This text is divided into 13 chapters and begins with an overview of the history, stigmatization processes, and social cohesion of the program. The succeeding chapters define the terms “income-tested” and “non-income-tested”, as well as the historical importance of the income-testing issue. The discussion then shifts to the development of both income-tested and non-income tested programs in the United States. These topics are followed by surveys of the income support system and the issues in the income-testing debate. The remaining chapters provide evidence that most Americans have too much income testing in the overall income maintenance system. These chapters also present a reform agenda designed to reduce the role of income testing. This book will be of value to social scientists, social welfare workers, and researchers.

    • Capital and Employment

      • 1st Edition
      • May 10, 2014
      • Murray Milgate
      • John Eatwell
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 3 5 6 6
      • eBook
        9 7 8 1 4 8 3 2 6 7 4 5 6
      Studies in Political Economy: Capital and Employment: A Study of Keynes's Economics focuses on the inquiry into Keynesian economics, particularly the relationship of capital and employment. The publication first underscores the contemporary position of 'Keynesian' economics, traditional long-period method of economic analysis, and theoretical systems and the long-period method. Discussions focus on the structure of classical economic theory, structure of marginalist economic theory, and the traditional long-period method of economic analysis. The text then ponders on the analysis of deviations from long-period positions, principle of effective demand, and the theory of capital and theory of employment. Topics include Keynes on the 'classical' theory of interest, capital and employment, inflexibility of money-wages, long-period theory of output and employment, and principle of effective demand. The book takes a look at the theoretical system of the treatise versus the general theory and the method of analysis in the treatise and the general theory, including the conceptual framework of the treatise on money and general theory and the natural rate of interest and level of employment. The publication is a valuable reference for economists and researchers interested in the relationship of capital and employment.

    • Transition and Turbulence

      • 1st Edition
      • May 10, 2014
      • Richard E. Meyer
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 3 5 1 1
      • eBook
        9 7 8 1 4 8 3 2 6 4 5 9 2
      Mathematics Research Center Symposia and Advanced Seminar Series: Transition and Turbulence covers the lectures presented at the Symposium on Transition and Turbulence in Fluids, held in Madison, Wisconsin on October 13-15, 1980 under the auspices of the Mathematics Research Center of the University of Wisconsin-Madison. The book focuses on the relation between transition and turbulence in fluids and the importance of this relation for the understanding of many real fluid motions. The selection first elaborates on transition in flow between rotating concentric cylinders, observations in the Taylor experiment, and transition to turbulence in thermal convection with and without rotation. Discussions focus on low aspect ratio convection layers, random convection in a rotating layer, unsteady flows at high Reynolds numbers, transition to oscillatory motion, and experimental observations. The text then tackles instability and turbulence in jets, instability and transition in pipes and channels, and transition to turbulence in boundary layers. The book ponders on coherent structures in turbulence; interactions between large-scale coherent structures and fine-grained turbulence in free shear flows; and vortex interactions and coherent structures in turbulence. Topics include atomic and molecular representations, vortices in uniform strain, vortex pairs, numerical computations applied to a simple problem, agglomeration of large-scale structures and subharmonic formation, retrieving phase information, and dynamical equations. The selection is highly recommended for researchers interested in pursuing further studies on transition and turbulence.

    • Elementary Linear Programming with Applications

      • 1st Edition
      • May 10, 2014
      • Bernard Kolman + 1 more
      • Werner Rheinboldt
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 1 8 1 4
      • eBook
        9 7 8 1 4 8 3 2 6 9 6 8 9
      Elementary Linear Programming with Applications presents a survey of the basic ideas in linear programming and related areas. It also provides students with some of the tools used in solving difficult problems which will prove useful in their professional career. The text is comprised of six chapters. The Prologue gives a brief survey of operations research and discusses the different steps in solving an operations research problem. Chapter 0 gives a quick review of the necessary linear algebra. Chapter 1 deals with the basic necessary geometric ideas in Rn. Chapter 2 introduces linear programming with examples of the problems to be considered, and presents the simplex method as an algorithm for solving linear programming problems. Chapter 3 covers further topics in linear programming, including duality theory and sensitivity analysis. Chapter 4 presents an introduction to integer programming. Chapter 5 covers a few of the more important topics in network flows. Students of business, engineering, computer science, and mathematics will find the book very useful.

    • Geometric Topology

      • 1st Edition
      • May 10, 2014
      • James C. Cantrell
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 6 9 4 0
      • eBook
        9 7 8 1 4 8 3 2 7 1 3 1 6
      Geometric Topology contains the proceedings of the 1977 Georgia Topology Conference, held at the University of Georgia on August 1977. The book is comprised of contributions from leading experts in the field of geometric topology.These contributions are grouped into four sections: low dimensional manifolds, topology of manifolds, shape theory and infinite dimensional topology, and miscellaneous problems. Subjects discussed under these sections include local spanning missing loops, the structure of generalized manifolds having nonmanifold set of trivial dimension, universal open principal fibrations, and how to build a flexible polyhedral surface. Topologists, geometers, and mathematicians will find the book very interesting and insightful.

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