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Mathematical Models in the Applied Sciences

Mathematical Models in the Applied Sciences

$83.99 (P)

Part of Cambridge Texts in Applied Mathematics

  • Date Published: November 1997
  • availability: Available
  • format: Paperback
  • isbn: 9780521467032

$ 83.99 (P)

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About the Authors
  • This book presents a thorough grounding in the techniques of modeling, and proceeds to explore a range of continuum models from an impressive array of disciplines, including biology, chemical engineering, fluid and solid mechanics, geophysics, medicine, and physics. It assumes only a basic mathematical grounding in calculus and analysis and will provide a wealth of examples for students of mathematics, engineering, and the range of applied sciences.

    • Based on successful Oxford course
    • Covers extremely diverse range of models
    • Comprehensive coverage of techniques
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    Reviews & endorsements

    "This is a beautiful book...provides an excellent source of insights, techniques, examples, models, open questions and literature for anyone interested in advanced (physical) mathematical modeling." Mathematical Reviews

    "Mathematical Models in Applied Sciences is highly recommended for advance students of mathematics, engineering, and a wide range of applied sciences. Every library of a university that has a program in science and technology should have a copy of this book." Applied Mechanics Review

    "...extremely well written. The book belongs on the shelf of any graduate student and any instructor involved with mathematical modeling. Even if for nothing more than its extensive and remarkably current bibliography, this book will be a valuable reference for anyone with an interest in applied mathematics in general and in mathematical modeling in particular." The UMAP Journal

    "...I found the book very comprehensive and clearly written, covering enough detail without losing its general purpose." The Leading Edge

    "In the reviewer's opinion, Fowler's book is an outstanding contribution to the graduate textbook literature. The exposition is oncise, and it shows the author's broad experience and insight into modeling...Reading portions of Fowler's book will give a student a good idea about what applied mathematics really is..." SIAM REVIEW

    "...highly recommended to anyone interested in deterministic modeling...a well-written book. Even though the treatment is advanced, the writing style is straightforward. Each topic is presented clearly, equation components are clearly defined, and example problems are presented at the end of each chapter making this an excellent candidate for a classroom text...I grew intellectually through my review of this book." Mathematical Geology

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    Product details

    • Date Published: November 1997
    • format: Paperback
    • isbn: 9780521467032
    • length: 424 pages
    • dimensions: 246 x 173 x 24 mm
    • weight: 0.7kg
    • contains: 106 b/w illus. 1 colour illus. 121 exercises
    • availability: Available
  • Table of Contents

    Part I. Introduction:
    1. Mathematical modelling
    Part II. Methods:
    2. Non-dimensionalisation
    3. Asymptotics
    4. Perturbation methods
    Part III. Classical Models:
    5. Heat transfer
    6. Viscous flow
    7. Solid mechanics
    8. Electromagnetism
    Part IV. Continuum Models:
    9. Enzyme kinetics
    10. The Belousov-Zhabotinskii reaction
    11. Spruce budworm infestations
    12. Chemical reactors
    13. Groundwater flow
    14. Convection in a porous medium
    15. River flow
    16. One-dimensional two-phase flow
    Part V. Advanced Models:
    17. Alloy solidification
    18. Ice sheet dynamics
    19. Chemosensory respiratory control
    20. Frost heave in freezing soils

  • Resources for

    Mathematical Models in the Applied Sciences

    A. C. Fowler

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  • Author

    A. C. Fowler, University of Oxford

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