BOOK
Partial Differential Equations
This foundational textbook is part of the Lectures in Applied Mathematics series and stems from the 1957 Summer Seminar at the University of Colorado. The book is divided into two primary parts: the first, by Fritz John, covers hyperbolic and parabolic equations from a classical viewpoint, while the second, by Lipman Bers and Martin Schechter, provides a readable account of elliptic equations using Hilbert-space and potential-theoretic methods. Despite being written to promote cooperation between mathematicians and physicists, the text is largely pure mathematics, focusing on the rigorous study of existence, uniqueness, and smoothness of solutions to differential equations.
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