Introduction to Theoretical and Mathematical Fluid Dynamics (Hardcover)

INTRODUCTION TO THEORETICAL AND MATHEMATICAL FLUID DYNAMICS

A practical treatment of mathematical fluid dynamics

In Introduction to Theoretical and Mathematical Fluid Dynamics, distinguished researcher Dr. Bhimsen K. Shivamoggi delivers a comprehensive and insightful exploration of fluid dynamics from a mathematical point of view. The book introduces readers to the mathematical study of fluid behavior and highlights areas of active research in fluid dynamics. With coverage of advances in the field over the last 15 years, this book provides in-depth examinations of theoretical and mathematical fluid dynamics with a particular focus on incompressible and compressible fluid flows.

Introduction to Theoretical and Mathematical Fluid Dynamics includes practical applications and exercises to illustrate the concepts discussed within, and real-world examples are explained throughout the text. Clear and explanatory material accompanies the rigorous mathematics, making the book perfect for students seeking to learn and retain this complex subject.

The book also offers:

• A thorough introduction to the basic concepts and equations of fluid dynamics, including an introduction to the fluid model, the equations of fluid flows, and surface tension effects
• Comprehensive explorations of the dynamics of incompressible fluid flows, fluid kinematics and dynamics, the complex-variable method, and three-dimensional irrotational flows
• Practical discussions of the dynamics of compressible fluid flows, including a review of thermodynamics, isentropic fluid flows, potential flows, and nonlinear theory of plane sound waves

Ideal for graduate-level students taking courses on mathematical fluid dynamics as part of a program in mathematics, engineering, or physics, Introduction to Theoretical and Mathematical Fluid Dynamics is also an indispensable resource for practicing applied mathematicians, engineers, and physicists.

理論和數學流體力學入門

實用的數學流體力學講解

在《理論和數學流體力學入門》一書中，著名研究者Bhimsen K. Shivamoggi博士從數學的角度全面而深入地探索了流體力學。本書介紹了讀者對流體行為的數學研究，並突出了流體力學中的活躍研究領域。本書涵蓋了過去15年來該領域的進展，深入探討了理論和數學流體力學，特別關注不可壓縮和可壓縮流體流動。

《理論和數學流體力學入門》包含實際應用和練習，以說明所討論的概念，並在整個文本中解釋了實際例子。清晰而解釋性的材料與嚴謹的數學相輔相成，使本書成為希望學習和掌握這一複雜主題的學生的理想選擇。

本書還提供：

• 對流體力學基本概念和方程式的全面介紹，包括流體模型、流體流動方程式和表面張力效應的介紹
• 對不可壓縮流體流動、流體運動學和動力學、複變數方法和三維無旋流動的深入探討
• 對可壓縮流體流動的實際討論，包括熱力學、等熵流體流動、勢流和平面聲波的非線性理論的回顧

《理論和數學流體力學入門》適用於數學、工程或物理學專業的研究生修讀數學流體力學課程的學生，也是應用數學家、工程師和物理學家的不可或缺的資源。

Bhimsen K. Shivamoggi, PhD, is Professor in the Departments of Mathematics and Physics at the University of Central Florida. He is a Senior Fellow of the Japan Society for the Promotion of Science. His research is focused on mathematical physics, fluid dynamics, stochastic processes, and nonlinear dynamics.

Bhimsen K. Shivamoggi博士是佛羅里達中央大學數學和物理學系的教授。他是日本學術振興會的高級研究員。他的研究專注於數學物理、流體力學、隨機過程和非線性動力學。