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Mathematical Models in the Applied Sciences

Mathematical Models in the Applied Sciences

Part of Cambridge Texts in Applied Mathematics

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

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  • Mathematical modelling is the basis of almost all applied mathematics. A 'real-world' problem is dissected and phrased in a mathematical setting, allowing it to be simplified and ultimately solved. This book presents a thorough grounding in the techniques of modelling, and proceeds to explore a range of classical and 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

    'The presented case studies are almost self-contained and span an incredible breadth of applied science and engineering … a must for university libraries … I would … recommend the book to anyone who is excited by the power of mathematics in describing the word. It might even become a classic of the genre.' John McCloskey, The Times Higher Education Supplement

    'This volume will broaden the horizons of all professional applied mathematics.' C. Isenberg, Contemporary Physics

    'Fowler's book is an outstanding contribution to the graduate textbook literature. Reading portions of Fowler's book will give a student a good idea about what applied mathematics really is …' Society for Industrial and Applied mathematics

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    Product details

    • Date Published: December 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
    References.

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    Mathematical Models in the Applied Sciences

    A. C. Fowler

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  • Author

    A. C. Fowler, University of Oxford

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