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Scientific Computation

$78.99 USD

  • Date Published: December 2009
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511654343

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  • Using real-life applications, this graduate-level textbook introduces different mathematical methods of scientific computation to solve minimization problems using examples ranging from locating an aircraft, finding the best time to replace a computer, analyzing developments on the stock market, and constructing phylogenetic trees. The textbook focuses on several methods, including nonlinear least squares with confidence analysis, singular value decomposition, best basis, dynamic programming, linear programming, and various optimization procedures. Each chapter solves several realistic problems, introducing the modelling optimization techniques and simulation as required. This allows readers to see how the methods are put to use, making it easier to grasp the basic ideas. There are also worked examples, practical notes, and background materials to help the reader understand the topics covered. Interactive exercises are available at www.cambridge.org/9780521849890.

    • Uses real-life applications so readers can see how the methods are put to use
    • Contains worked examples, practical notes, and background materials, with interactive exercises available at www.cambridge.org/9780521849890
    • Covers nonlinear least squares, singular value decomposition, best basis, dynamic programming, linear programming, and various optimization procedures
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    Reviews & endorsements

    '… this book will help students understand methods in some of their appropriate contexts, in a relatively easy, fresh, and concise way.' E. Vavalis, Computing Reviews

    '… the text makes an important contribution: it describes the thought process necessary to solve a problem computationally, considers the various possible models, and shows which ones lead to the most precise solutions. I recommend this text for instructors who are interested in problem-based or other interactive learning styles.' Physics Today

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    Product details

    • Date Published: December 2009
    • format: Adobe eBook Reader
    • isbn: 9780511654343
    • contains: 13 b/w illus.
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    1. Determination of the accurate location of an aircraft
    2. When to replace equipment
    3. SSP using LS and SVD
    4. SSP using least squares and best basis
    5. SSP learning methods (nearest neighbours)
    6. SSP with linear programming (LP)
    7. Stock market prediction
    8. Phylogenetic tree construction
    Appendixes
    Index.

  • Resources for

    Scientific Computation

    Gaston H. Gonnet, Ralf Scholl

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  • Authors

    Gaston H. Gonnet, Eidgenössische Technische Hochschule Zürich
    Gaston H. Gonnet is a Professor in the Department of Informatik at ETH, Zurich. His research interests lie in symbolic and algebraic computation, system development, limit and series computation and heuristic algorithms, computational biochemistry algorithms, and the design and analysis of algorithms.

    Ralf Scholl
    Ralf Scholl teaches mathematics, physics, and science and technology at the Geschwister-Scholl-Gymnasium in Stuttgart. His interests lie in the didactics of teaching science and mathematics at high school to graduate level.

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