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Topics in Nonlinear Functional Analysis
Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book served as an introduction to various subjects in nonlinear functional …
Geometric Wave Equations
This volume contains notes of the lectures given at the Courant Institute and a DMV-Seminar at Oberwolfach. The focus is on the recent work of the authors on semilinear wave …
Supersymmetry For Mathematicians
Supersymmetry has been studied by theoretical physicists since the early 1970s. Nowadays, because of its novelty and significance - in both mathematics and physics - the issues it …
Linear Algebra II
This book is the second of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a …
Hyperbolic Partial Differential Equations
The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, …
Wigner Measure and Semiclassical Limits of Nonlinear Schrodinger Equations
This book is based on a course entitled 'Wigner measures and semiclassical limits of nonlinear Schrodinger equations,' which the author taught at the Courant Institute of …
Elliptic Partial Differential Equations
This volume is based on PDE courses given by the authors at the Courant Institute and at the University of Notre Dame, Indiana. Presented are basic methods for obtaining various a …
Mathematical Methods in Immunology
Linear Algebra (Volumes I and II)
This is a two-volume set. Both volumes focus on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the …
Algebraic Curves and One-dimensional Fields
Algebraic curves have many special properties that make their study particularly rewarding. As a result, curves provide a natural introduction to algebraic geometry. In this book, …
A Brief Introduction to Classical, Statistical, and Quantum Mechanics
This book provides a rapid overview of the basic methods and concepts in mechanics for beginning Ph.D. students and advanced undergraduates in applied mathematics or related …
Notes on Dynamical Systems
This book is an introduction to the field of dynamical systems, in particular, to the special class of Hamiltonian systems. The authors aimed at keeping the requirements of …