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Books written by Louis Nirenberg.

For striking and seminal contributions to the theory of nonlinear partial differential equations and its applications to geometric analysis Louis Nirenberg was awarded the Abel Prize alongside John F. Nash Jr..

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Lectures on Differential Equations and Differential Geometry

This book is superbly written by a world-leading expert on partial differential equations and differential geometry. It consists of two parts. Part I covers the existence and uniqueness of solutions of elliptic differential equations. It is direct, to the point, moves smoothly and quickly, and there are no unnecessary discussions or digressions.

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Functional Analysis: Lectures Given at New York University, Courant Institute of Mathematical Sciences

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Topics in Nonlinear Functional Analysis

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Lectures on Linear Partial Differential Equations

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A Celebration of John F. Nash Jr.

This collection celebrates the pathbreaking work in game theory and mathematics of John F. Nash Jr., winner of the 1994 Nobel Prize in Economics. Nash’s analysis of equilibria in the theory of non-cooperative games has had a major impact on modern economic theory.

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Perspectives in Nonlinear Partial Differential Equations: In Honor of Haim Brezis

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Pseudo-differential Operators: Lectures given at a Summer School of the Centro Internazionale Matematico Estivo

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On Nonlinear Elliptic Partial Differential Equations and Holder Continuity

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Techniques in Linear and Nonlinear Partial Differential Equations

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Collected Papers of Mitio Nagumo

Especially among Japanese mathematicians Mitio Nagumo (1905-1995) is regarded as one of the greatest pioneers in research on differential equations. However, so far most of his papers have only been published in Japanese journals and were unavailable in the West.