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    • Special Purpose Computers

      • 1st Edition
      • May 10, 2014
      • Berni J. Alder
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 5 4 1 7
      • eBook
        9 7 8 1 4 8 3 2 6 6 9 8 5
      Special Purpose Computers describes special-purpose computers and compares them to general-purpose computers in terms of speed and cost. Examples of computers that were designed for the efficient solution of long established algorithms are given, including Navier-Stokes hydrodynamic solvers, classical molecular dynamic machines, and Ising model computers. Comprised of seven chapters, this volume begins by documenting the progress of the CalTech Concurrent Computation Program and its evolution from computational high-energy physics to a supercomputer initiative, with emphasis on the lessons learned including computer architecture issues and the trade-offs between in-house and commercial development. The reader is then introduced to the QCD Machine, a special-purpose parallel supercomputer that was designed and built to solve the lattice quantum chromodynamics problem. Subsequent chapters focus on the Geometry-Defining Processors and their application to the solution of partial differential equations; the Navier-Stokes computer; parallel processing using the Loosely Coupled Array of Processors (LCAP) system; and the Delft Ising system processor. The design and implementation of the Delft molecular-dynamics processor are also described. This book will be of interest to computer engineers and designers.

    • Numerical Methods for Initial Value Problems in Ordinary Differential Equations

      • 1st Edition
      • May 10, 2014
      • Simeon Ola Fatunla
      • Werner Rheinboldt + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 8 6 8 5
      • eBook
        9 7 8 1 4 8 3 2 6 9 2 6 9
      Numerical Method for Initial Value Problems in Ordinary Differential Equations deals with numerical treatment of special differential equations: stiff, stiff oscillatory, singular, and discontinuous initial value problems, characterized by large Lipschitz constants. The book reviews the difference operators, the theory of interpolation, first integral mean value theorem, and numerical integration algorithms. The text explains the theory of one-step methods, the Euler scheme, the inverse Euler scheme, and also Richardson's extrapolation. The book discusses the general theory of Runge-Kutta processes, including the error estimation, and stepsize selection of the R-K process. The text evaluates the different linear multistep methods such as the explicit linear multistep methods (Adams-Bashforth, 1883), the implicit linear multistep methods (Adams-Moulton scheme, 1926), and the general theory of linear multistep methods. The book also reviews the existing stiff codes based on the implicit/semi-implic... singly/diagonally implicit Runge-Kutta schemes, the backward differentiation formulas, the second derivative formulas, as well as the related extrapolation processes. The text is intended for undergraduates in mathematics, computer science, or engineering courses, andfor postgraduate students or researchers in related disciplines.

    • An Introduction to Analytic Geometry and Calculus

      • 1st Edition
      • May 10, 2014
      • A. C. Burdette
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 6 7 5 9
      • eBook
        9 7 8 1 4 8 3 2 6 5 2 2 3
      An Introduction to Analytic Geometry and Calculus covers the basic concepts of analytic geometry and the elementary operations of calculus. This book is composed of 14 chapters and begins with an overview of the fundamental relations of the coordinate system. The next chapters deal with the fundamentals of straight line, nonlinear equations and graphs, functions and limits, and derivatives. These topics are followed by a discussion of some applications of previously covered mathematical subjects. This text also considers the fundamentals of the integrals, trigonometric functions, exponential and logarithm functions, and methods of integration. The final chapters look into the concepts of parametric equations, polar coordinates, and infinite series. This book will prove useful to mathematicians and undergraduate and graduate mathematics students.

    • Matrix Methods

      • 1st Edition
      • May 10, 2014
      • Richard Bronson
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 3 1 8 8
      • eBook
        9 7 8 1 4 8 3 2 1 6 6 1 4
      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.

    • Calculus

      • 3rd Edition
      • May 10, 2014
      • Stanley I. Grossman
      • English
      • eBook
        9 7 8 1 4 8 3 2 6 2 3 9 0
      Calculus, Third Edition emphasizes the techniques and theorems of calculus, including many applied examples and exercises in both drill and applied-type problems. This book discusses shifting the graphs of functions, derivative as a rate of change, derivative of a power function, and theory of maxima and minima. The area between two curves, differential equations of exponential growth and decay, inverse hyperbolic functions, and integration of rational functions are also elaborated. This text likewise covers the fluid pressure, ellipse and translation of axes, graphing in polar coordinates, proof of l'Hôpital's rule, and approximation using Taylor polynomials. Other topics include the rectangular coordinate system in space, higher-order partial derivatives, line integrals in space, and vibratory motion. This publication is valuable to students taking calculus.

    • Nonlinear Programming

      • 1st Edition
      • May 10, 2014
      • J. B. Rosen + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 5 6 3 8
      • eBook
        9 7 8 1 4 8 3 2 7 2 4 6 7
      Nonlinear Programming contains the proceedings of a Symposium on Nonlinear Programming held in Madison, Wisconsin on May 4-6, 1970. This book emphasizes algorithms and related theories that lead to efficient computational methods for solving nonlinear programming problems. This compilation consists of 17 chapters. Chapters 1 to 9 are concerned primarily with computational algorithms, while Chapters 10 to 13 are devoted to theoretical aspects of nonlinear programming. Certain applications of nonlinear programming are considered in Chapters 14 to 17. The algorithms for nonlinear constraint problems, investigation of convergence rates, and use of nonlinear programming for approximation are also covered in this text. This publication is a good source for students and researchers concerned with nonlinear programming.

    • Introduction to Applied Probability

      • 1st Edition
      • May 10, 2014
      • Paul E. Pfeiffer + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 4 7 4 7
      • eBook
        9 7 8 1 4 8 3 2 7 7 2 0 2
      Introduction to Applied Probability provides a basis for an intelligent application of probability ideas to a wide variety of phenomena for which it is suitable. It is intended as a tool for learning and seeks to point out and emphasize significant facts and interpretations which are frequently overlooked or confused by the beginner. The book covers more than enough material for a one semester course, enhancing the value of the book as a reference for the student. Notable features of the book are: the systematic handling of combinations of events (Section 3-5); extensive use of the mass concept as an aid to visualization; an unusually careful treatment of conditional probability, independence, and conditional independence (Section 6-4); the resulting clarification facilitates the formulation of many applied problems; the emphasis on events determined by random variables, which gives unity and clarity to many topics important for interpretation; and the utilization of the indicator function, both as a tool for dealing with events and as a notational device in the handling of random variables. Students of mathematics, engineering, biological and physical sciences will find the text highly useful.

    • Other Vertebrates and Invertebrates

      • 1st Edition
      • May 10, 2014
      • Edwin J. Atencio + 2 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 3 8 9 4
      • eBook
        9 7 8 1 4 8 3 2 8 2 1 8 3
      Nucleotide Sequences 1986/1987, Volume III: Other Vertebrates and Invertebrates presents data that reflect the information found in GenBank Release 44.0 of August 1986. This book provides information pertinent to the unique international collaboration between two leading nucleotide sequence data libraries, one based in Europe and one in the United States. Organized into three sections, this volume begins with an overview of the sequences, some basic identifying information, and some of the biological annotations. This text then discusses the EMBL Nucleotide Sequence Data Library, an international center of fundamental research with its main focus in the fields of cell biology, molecular structures, instrumentation, and differentiation. This book discusses as well the GenBank database established in 1982 by the National Institute of General Medical Sciences of the U.S National Institutes of Health. This book is a valuable resource for molecular biologists and other investigators collecting the large number of reported DNA and RNA sequences and making them available in computer-readable form.

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

      • 1st Edition
      • May 10, 2014
      • Bert Hubbard
      • English
      • Paperback
        9 7 8 1 4 8 3 2 4 0 7 6 3
      • eBook
        9 7 8 1 4 8 3 2 6 2 4 8 2
      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.

    • Evaluating the Quality of Learning

      • 1st Edition
      • May 10, 2014
      • John B. Biggs + 1 more
      • Allen J. Edward
      • English
      • eBook
        9 7 8 1 4 8 3 2 7 3 3 1 0
      Educational Psychology Series: Evaluating the Quality of Learning: The SOLO Taxonomy (Structure of the Observed Learning Outcome) focuses on the approaches, methodologies, and techniques employed in the valuation of the quality of learning. The publication first offers information on the quality and quantity of learning and origin and description of the Structure of the Observed Learning Outcome (SOLO) taxonomy. Discussions focus on general intellectual development and the growth of quality; some assumptions and applications of stage theory; from developmental stage to levels of learning quality; and general intellectual development and the growth of quality. The text then examines the teaching of history, elementary mathematics, English, and geography. Topics include interpreting a map and drawing conclusions, explaining a natural phenomenon, appreciation of poetry, implications for the teaching of history, English, and mathematics, numbers and operations, and general application of SOLO to history. The manuscript takes a look at modern languages, place of the taxonomy in instructional design, and some methodological considerations. Concerns include alternative formats for obtaining SOLO responses, instructional processes, curriculum analysis, remediation, and teacher intentions. The publication is a vital source of data for educators interested in the SOLO taxonomy.

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