Jorriss said:
A good fluid mechanics text for math majors should cover topics such as fluid statics, fluid kinematics, conservation laws, viscous flow, and potential flow. It should also include applications to real-world problems and examples that illustrate the mathematical concepts.
Yes, a strong foundation in calculus is necessary to understand fluid mechanics. Most texts assume that readers have a solid understanding of calculus, including topics such as differentiation, integration, and differential equations.
One highly recommended text for math majors is "A Mathematical Introduction to Fluid Mechanics" by Alexandre Chorin and Jerrold Marsden. This text covers the essential topics in fluid mechanics while providing a rigorous mathematical treatment.
Yes, there are several online resources that can supplement a fluid mechanics text for math majors. Some popular options include video lectures from top universities, online simulations and demonstrations, and interactive tutorials. It is always helpful to have multiple resources to deepen your understanding of the subject.
One of the best ways to study fluid mechanics as a math major is to actively engage with the material. This can include taking notes, working through practice problems, and discussing concepts with peers or a study group. It is also helpful to make connections between fluid mechanics and other math subjects, such as calculus and differential equations, to deepen your understanding.