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A handy and fairly in depth introduction and survey of PDEs and wave theory for the atmosphere and ocean sciences, Majda does a concise yet clear job of presenting the fundamental aspects of the classic problems seen in today's research. He presents a well organized and methodical understanding and solution of the main PDEs and for that reason serves as a great reference for those looking to study the geophysical fluids realm and get a good handle on some involved but fundamental starting points for most problems dealth with in current work. The only downside is that as a "lecture" set of notes it suffers from enough typos and errors that it can be distracting. However, for any discerning mathematician or physicist who is versed enough in basic math (some analysis, operator algebra, matrix theory), one can easily pinpoint the errors and quickly scribble in the corrections without losing traction on the work. A fantastic book written by one of the leading researchers in the field of geophysical fluid problems.
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