
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. Prerequisites are few: a basic knowledge of vector calculus, complex analysis, and simple methods for solving differential equations are all that is needed. Throughout, numerous exercises (with hints and answers) 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, boundary layer flow, and instability in flow) and frequent references to experiments and the history of the subject, ensures that this book provides a comprehensive and absorbing introduction to the mathematical study of fluid behaviour.
This text investigates the fundamental mathematical principles governing the behavior of fluids in motion. Author D. J. Acheson, a mathematician with extensive experience in applied sciences, provides a structured framework that bridges theoretical fluid mechanics with practical physical applications. The book utilizes vector calculus and differential equations to derive core models, ensuring that students can transition from abstract theory to concrete problem-solving in science and engineering contexts.
What You Will Find
Scope Limits
Experts and educators frequently cite this work as a standard introductory text for undergraduate mathematics and physics students. Readers often note the clarity of the prose and the effective integration of historical context with rigorous mathematical derivation.
Page Count:
410
Publication Date:
1990-01-01
Publisher:
Clarendon Press
ISBN-10:
0191059390
ISBN-13:
9780191059391
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