MTU Cork Library Catalogue

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An introduction to mathematical modelling / Neville D. Fowkes and John J. Mahony..

By: Fowkes, Neville D.
Contributor(s): Mahony, John J, -1992.
Material type: materialTypeLabelBookPublisher: [Chichester] ; New York : Wiley, c1994Description: xvi, 447 p. : ill. ; 23 cm. + pbk.ISBN: 0471934224; 0471943096 (pbk.).Subject(s): Mathematical modelsDDC classification: 511.8
Contents:
Introduction and general outline -- I: Mechanical systems -- II: Diffusion -- III: Vibrations and waves -- IV: Solutions.
Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
General Lending MTU Bishopstown Library Lending 511.8 (Browse shelf(Opens below)) 1 Available 00013305
Total holds: 0

Enhanced descriptions from Syndetics:

Demonstrates the challenges and fascinations of mathematical modelling and enables students to develop the skills required to examine real life problems. The various techniques and skills are introduced to the reader through the discussion of a variety of carefully selected problems and exercises, largely drawn from industrial contexts. Maple is used for the problems discussed and for many of the exercises, with suggestions and commands provided for readers unfamiliar with this software package.

Includes bibliographical references and index.

Introduction and general outline -- I: Mechanical systems -- II: Diffusion -- III: Vibrations and waves -- IV: Solutions.

Reviews provided by Syndetics

CHOICE Review

Fowkes and Mahony have written a pedagogical introduction, at an elementary level, to the general concepts, principles, and methods of mathematical modeling and its application to real-world problems. They illustrate the use of mathematics and the diversity of applications to physical, engineering, and industrial problems. Modeling in the biological sciences is not discussed. A background in undergraduate mathematics--calculus, linear algebra, and differential equations--is sufficient as prerequisite. The first part discusses simple models of mechanical systems, providing an overview of modeling approaches as may be dictated by the physical quantity under study. The second and third parts discuss modeling approaches to heat flow and wave propagation problems. Some classical and contemporary techniques in evolutionary partial differential equations are used to illustrate the practicality of mathematical concepts. The symbolic manipulator Maple is used in some places, which should provide students with a good introduction to the use of such tools in modeling. Exercises vary in difficulty, and some hints and answers are provided. Readers are referred to Alan B. Tayler, Mathematical Models in Applied Mechanics (1985) for more information on industrial modeling. Biological applications are treated in J.D. Murray's Mathematical Biology (1989). Recommended. Upper-division undergraduate; graduate; professional. D. E. Bentil; University of Massachusetts at Amherst

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