Recommendations for books on Linear Partial Differential Equations include a highly praised text that has been used extensively during undergraduate studies, with a specific mention of its effectiveness. Another suggested resource is "Boundary Value Problems" by David Powers, which focuses on applied aspects and separable PDEs. Additionally, Michael Taylor's work is noted as a classic in the field, particularly the first two volumes that cover linear equations, although it has not been personally reviewed by the contributors. These resources aim to supplement the primary textbook assigned for the class.