Applied PDE's book suggestion

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I am searching for a book on applied PDEs which do not focus on how to solve them, but instead different areas where they appear and what can we do with them. Maybe a book in which each chapter shows applications of pdes in areas like economics, finance, physics, biology, social sciences, etc... .I also would be nice if it contains some numerical ways to use them. Can you suggest one book like that to me?

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It depends on which level you are aiming for. For undergraduate level, the book "Partial Differential Equations An Introduction" by Walter A. Strauss is decent (but it does not contain too much material on numerical PDE methods). For graduate level PDE, the classical book "Partial Equation Equations" by L.C.Evans seems quite popular.