This comprehensive textbook on functional analysis is a must-read for upper-level undergraduates and graduate students looking to deepen their understanding of partial differential equations.

With a focus on key aspects of analysis beyond Hilbert and Banach space theory, this book provides a detailed treatment of topological vector spaces, duality, and tensor products.

The text also covers the archetypes of linear partial differential equations (Laplace's, wave, and heat equations) and traditional problems (Dirichlet's and Cauchy's).

Featuring 390 exercises with detailed information to help readers reconstruct important results, this book is an invaluable resource for anyone looking to master the subject.