A Mathematical Introduction to Fluid Mechanics — Chorin & Marsden, First Edition, 1979

Alexandre J. Chorin & Jerrold E. Marsden — Springer-Verlag, 1979. First Edition.
By 1979, fluid mechanics had become one of the most computationally demanding frontiers in applied mathematics. Chorin — already celebrated for his pioneering work on numerical methods for the Navier-Stokes equations — and Marsden, a leading figure in geometric mechanics and dynamical systems, joined forces to produce something rare: a mathematically rigorous introduction to fluid mechanics that was also genuinely teachable. The result was a compact, elegant text that brought the language of modern analysis — manifolds, differential forms, functional analysis — to bear on the classical problems of viscous and inviscid flow. It became a standard graduate reference and helped define the mathematical approach to fluid dynamics that underpins computational fluid dynamics (CFD) research to this day. A first edition is a notable find.
Topics Covered

Euler and Navier-Stokes equations from first principles
Potential flow and vorticity dynamics
Viscous flow and boundary layer theory
Stability and the onset of turbulence
Geometric and variational formulations of fluid mechanics

An essential volume for mathematicians, engineers, and collectors of landmark applied mathematics texts.