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A Modern Introduction to the Mathematical Theory of Water Waves

A Modern Introduction to the Mathematical Theory of Water Waves

Regular price $187.01 USD

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The book A Modern Introduction to the Mathematical Theory of Water Waves offers a comprehensive exploration of the mathematical principles underlying water wave phenomena. Authored by R. S. Johnson, this text is an essential resource for students and professionals in applied mathematics and engineering.

In this insightful work, readers will discover the fundamental concepts of water wave theory, including the mathematical modeling of waves and their interactions. The author meticulously explains the derivation of key equations and the physical interpretations of various wave behaviors, making complex ideas accessible to a broad audience.

One of the standout features of this book is its clear and structured approach to nonlinear wave equations. Johnson provides numerous examples and applications that illustrate how these equations are derived and solved, enhancing the reader's understanding of real-world scenarios.

The text also delves into the topic of surface waves, discussing their characteristics and the mathematical tools used to analyze them. With a focus on both theoretical and practical aspects, this book serves as a bridge between abstract mathematics and tangible applications in fluid dynamics.

Additionally, the inclusion of exercises at the end of each chapter allows readers to test their knowledge and apply what they have learned. This interactive element is particularly beneficial for those studying independently or in a classroom setting, reinforcing the concepts of wave propagation and stability.

Moreover, the book addresses advanced topics such as solitary waves and their significance in various fields, including oceanography and meteorology. Johnson's thorough treatment of these subjects ensures that readers gain a well-rounded understanding of the mathematical theory of water waves.

Overall, A Modern Introduction to the Mathematical Theory of Water Waves is a vital addition to any mathematician's library. Its blend of rigorous mathematics and practical applications makes it an invaluable resource for anyone interested in the study of fluid dynamics and wave phenomena.

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A Modern Introduction to the Mathematical Theory of Water Waves
A Modern Introduction to the Mathematical Theory of Water Waves
Regular price $187.01 USD
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