Vectors, Tensors and the Basic Equations of Fluid Mechanics (Dover Books on Mathematics)

Book Details

• Author: Aris, Rutherford

• Publisher: Dover

• Language: English

• Edition: New

• ISBN: 9780486661100

• Pages: 320

• Cover: Paperback

• Dimensions:

  • Length: 8.4 inches

  • Width: 5.5 inches

  • Thickness: 0.9 inches

About The Book

Rutherford Aris’s Vectors, Tensors and the Basic Equations of Fluid Mechanics is a masterful introduction to the mathematical framework underlying physical field theories, particularly in the realm of fluid dynamics. Published by Dover, this classic text is aimed at advanced undergraduates, graduate students, and professionals in engineering, physics, and applied mathematics.

Beginning with a clear review of essential mathematical tools, the book gradually builds the reader’s understanding of the algebra and calculus of Cartesian vectors and tensors. From there, it delves into the core principles of fluid mechanics—covering topics such as fluid motion kinematics, stress analysis, energy equations, and equations of motion. The discussion extends into the use of general tensors and their application in Euclidean spaces, providing deep insights into the structural geometry of surfaces and flow behavior.

The book stands out not only for its rigorous yet accessible approach but also for its practical orientation, featuring numerous exercises designed to reinforce concepts and stimulate deeper exploration. Two comprehensive appendices enrich the learning experience by offering quick references to coordinate geometry, matrix theory, implicit functions, and Jacobians.

A trusted and enduring resource, this 320-page volume is essential for those seeking to bridge the gap between mathematics and physical applications in fluid mechanics and beyond.