Water Waves: the Mathematical Theory with Applications

Book Details:

• Author: James Stoker

• Publisher: Dover

• Language: English

• Edition: Illustrated

• ISBN: 9780486832999

• Pages: 576

• Cover: Paperback

• Dimensions: 8.5 x 5.6 x 1.6 inches

• Weight: Not provided

About the Book

Wave Motion in Fluids by James Stoker, first published in 1957, remains a seminal work in the field of applied mathematics and fluid mechanics. This classic monograph offers a comprehensive account of the mathematical theory behind wave motion in a liquid with a free surface, subject to gravitational and other forces. The text remains a valuable resource for scientists and engineers working with fluid mechanics, providing timeless insights into this complex area of study.

The book is structured in four parts, starting with the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids. Stoker carefully describes the two principal approximate theories that serve as the foundation for the remainder of the book. The second part focuses on the approximate theory resulting from small-amplitude wave motions, followed by an exploration of problems related to waves in shallow water. Finally, the text concludes with a selection of problems solved using the exact theory.

Despite the wide range of topics covered, Stoker’s clear and accessible writing ensures a unified and readable treatment of the subject, making this book not only invaluable for advanced students but also for practitioners of fluid mechanics and related fields. With its enduring relevance, this text continues to be an essential reference in the study of wave motion in fluids.