Princeton Lectures in Analysis: Difference between revisions

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The '''''Princeton Lectures in Analysis''''' is a series of four [[mathematics]] textbooks, each covering a different area of [[mathematical analysis]]. They were written by [[Elias M. Stein]] and Rami Shakarchi and published by [[Princeton University Press]] between 2003 and 2011. They are, in order, ''Fourier Analysis: An Introduction''; ''Complex Analysis''; ''Real Analysis: Measure Theory, Integration, and Hilbert Spaces''; and ''FuncionalFunctional Analysis: Introduction to Further Topics in Analysis''.

Stein and Shakarchi wrote the books based on a sequence of intensive undergraduate courses Stein began teaching in the spring of 2000 at [[Princeton University]]. At the time Stein was a mathematics professor at Princeton and Shakarchi was a graduate student in mathematics. Though Shakarchi graduated in 2002, the collaboration continued until the final volume was published in 2011. The series emphasizes the unity among the branches of analysis and the applicability of analysis to other areas of mathematics.