Elias M. Stein

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Complex Analysis

by Elias M. Stein & Rami Shakarchi

With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a...


Real Analysis: Measure Theory, Integration, and Hilbert Spaces

by Elias M. Stein & Rami Shakarchi

Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development...


Fourier Analysis: An Introduction

by Elias M. Stein & Rami Shakarchi

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis....


Functional Analysis: Introduction to Further Topics in Analysis

by Elias M. Stein & Rami Shakarchi

This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional...