# Books written by Charles Fefferman.

Fefferman contributed several innovations that revised the study of multidimensional complex analysis by finding correct generalizations of classical (low-dimensional) results and was awarded the Fields Medal in 1978.

## The Ambient Metric

This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions.

## Partial Differential Equations in Fluid Mechanics

The Euler and Navierâ€“Stokes equations are the fundamental mathematical models of fluid mechanics, and their study remains central in the modern theory of partial differential equations.

## Essays on Fourier Analysis in Honor of Elias M. Stein

This book contains the lectures presented at a conference held at Princeton University in May 1991 in honor of Elias M. Stein's sixtieth birthday. The lectures deal with Fourier analysis and its applications.

## Advances in Analysis: The Legacy of Elias M. Stein

Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory.