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The study of the dynamics of fluids is a central theme of modern applied mathematics. It is used to model a vast range of physical phenomena and plays a vital role in science and engineering. This textbook provides a clear introduction to both the theory and application of fluid dynamics and will be suitable for all undergraduates coming to the subject for the first time. The prerequisites are a basic knowledge of vector calculus, complex analysis and simple methods for solving differential equations. Throughout, numerous exercises illustrate the main ideas and serve to consolidate the reader's understanding of the subject. The book's wide scope (including inviscid and viscous flows, waves in fluids, boundard layer flow and instability in flow) and frequent references to experiments and the history of the subject ensures that it provides a comprehensive introduction to the mathematical study of fluid behaviour.
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The study of the dynamics of fluids is a central theme of modern applied mathematics. It is used to model a vast range of physical phenomena and plays a vital role in science and engineering. This textbook provides a clear introduction to both the theory and application of fluid dynamics and will be suitable for all undergraduates coming to the subject for the first time. The prerequisites are a basic knowledge of vector calculus, complex analysis and simple methods for solving differential equations. Throughout, numerous exercises illustrate the main ideas and serve to consolidate the reader's understanding of the subject. The book's wide scope (including inviscid and viscous flows, waves in fluids, boundard layer flow and instability in flow) and frequent references to experiments and the history of the subject ensures that it provides a comprehensive introduction to the mathematical study of fluid behaviour.
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