| Text | Focus | Applications | Nonlinear Coverage | |------|-------|--------------|---------------------| | | Balanced | Strong (PDEs, mechanics) | Full part dedicated | | Brezis (2011) | Linear mainly | Moderate (PDEs) | Brief chapter | | Zeidler (1986–1995) | Nonlinear heavy | Extensive (physics, econ) | Multi-volume, encyclopedic | | Aubin (2000) | Applied | Strong (optimization, games) | Moderate |
The first edition was published in 2013, with a second, expanded edition released in 2025. : | Text | Focus | Applications | Nonlinear
Philippe G. Ciarlet's Linear and Nonlinear Functional Analysis with Applications econ) | Multi-volume