Mathematical models in applied mechanics
著者
書誌事項
Mathematical models in applied mechanics
（Oxford applied mathematics and computing science series）
Clarendon Press, 1986
- pbk.
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注記
Bibliography: p. [269]-271
Includes index
内容説明・目次
- 巻冊次
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ISBN 9780198535331
内容説明
This text demonstrates the power of mathematics to solve practical scientific and technical problems by formulating and finding solutions for models of these problems, especially by methods based upon the use of partial differential equations. Designed primarily for final-year undergraduates and graduate students, the book springs from the author's experience in teaching a course on this subject at first-year postgraduate level, and more generally from the work done since 1967 by the Oxford Study Groups with Industry. The text is combined with twenty-one carefully ordered problems taken from real situations, and students are encouraged to develop the skill of constructing their own models of new situations.
目次
Problem Formulation Wave Motion Elliptic Problems Diffusion Asymptotic Methods for Non-Linear Problems Bibliography Index
- 巻冊次
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pbk. ISBN 9780198535416
内容説明
This book outlines the philosophy and techniques needed for the application of mathematics to industrial and scientific problems. Taking a practice-oriented approach, the author includes twenty-one problems, all of which illustrate the power of differential equations in industrial applications. The problems presented touch upon a wide range of situations, including smoke dispersion from a high chimney, the hot rolling of steel, resonance in a gear box, submarine detection, and the shape of laser meltpools. Tayler pays particular attention to the formulation of these problems and has carefully ordered them to illustrate the coherent development of partial differential equations.
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