Linear Algebra I

Frederick P. Greenleaf, Sophie Marques

• Paperback | Courant Lecture Notes
• The first of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics who have a basic understanding of matrix ... Lees meer

Nonlinear Analysis on Manifolds

Emmanuel Hebey

• Paperback | Courant Lecture Notes
• Offers lectures given at the Courant Institute on the theory of Sobolev spaces on Riemannian manifolds. This volume includes a brief introduction to d... Lees meer

Mathematical Analysis of Partial Differential Equations Modelling Electrostatic MEMS

Pierpaolo Esposito, Nassif Ghoussoub, Yujin Gao

• Paperback | Courant Lecture Notes
• Micro- and nanoelectromechanical systems (MEMS and NEMS), which combine electronics with miniature-size mechanical devices, are essential components o... Lees meer

Mathematical Models in Developmental Biology

Jerome K. Percus, Stephen Childress

• Paperback | Courant Lecture Notes
• These notes introduce an interleaved set of mathematical models representative of research in the last few decades, as well as the techniques that hav... Lees meer

Quasi-Static State Analysis of Differential, Difference, Integral and Gradient Systems

Frank C. Hoppensteadt

• Paperback | Courant Lecture Notes
• Based on a course on advanced topics in differential equations given at the Courant Institute of Mathematical Sciences, this book describes aspects of... Lees meer

Probability Theory

S.R.S Varadhan

• Paperback | Courant Lecture Notes
• This volume presents topics in probability theory covered during a first-year graduate course given at the Courant Institute of Mathematical Sciences,... Lees meer

Algebra with Galois Theory

• Paperback | Courant Lecture Notes
• First published in 1947 by the Courant Institute of Mathematical Sciences of New York University under the title ""Modern Higher Algebra Galois Theory... Lees meer

A Brief Introduction to Classical, Statistical, and Quantum Mechanics

Buhler Oliver

• Paperback | Courant Lecture Notes
• Presents an overview of the basic methods and concepts in mechanics of applied mathematics or related fields. This book introduces Newton's law, actio... Lees meer

Mathematical Methods of Electromagnetic Theory

Kurt O. Friedrichs

• Paperback | Courant Lecture Notes
• Provides a mathematically precise but intuitive introduction to classical electromagnetic theory and wave propagation, with a brief introduction to sp... Lees meer

Notes on Dynamical Systems

Jurgen Moser, Eduard J. Zehnder

• Paperback | Courant Lecture Notes
• Presents an introduction to the field of dynamical systems, in particular, to the special class of Hamiltonian systems. This book keeps the requiremen... Lees meer

Mathematical Methods for Analysis of a Complex Disease

Frank C. Hoppensteadt

• Paperback | Courant Lecture Notes
• Provides background in mathematical and computational methods to enable the reader to better understand complex systems in biology, medicine, and the ... Lees meer

Algebraic Curves and One-dimensional Fields

• Paperback | Courant Lecture Notes
• Algebraic curves have many special properties that make their study rewarding. This work presents the various aspects of curves and emphasizes connect... Lees meer

Geometric Wave Equations

• Paperback | Courant Lecture Notes
• Focuses on semilinear wave equations with critical Sobolev exponents and on wave maps in two space dimensions. Lees meer

Stochastic Processes

S.R.S. Varadhan

• Paperback | Courant Lecture Notes
• An introduction to stochastic processes studying certain elementary continuous-time processes. It includes a description of the Poisson process and re... Lees meer

Harmonic Analysis

S.R.S. Varadhan, Courant Institute of Mathematical Sciences at New York Universit

• Paperback | Courant Lecture Notes
• Harmonic Analysis is an important tool that plays a vital role in many areas of mathematics as well as applications. The subject is vast, and this boo... Lees meer

An Introduction to Theoretical Fluid Mechanics

Stephen Childres

• Paperback | Courant Lecture Notes
• Gives an overview of classical topics in fluid dynamics, focusing on the kinematics and dynamics of incompressible inviscid and Newtonian viscous flui... Lees meer

Introduction to PDEs and Waves for the Atmosphere and Ocean

• Paperback | Courant Lecture Notes
• Aims to introduce mathematicians to the important area of atmosphere/ocean science (AOS) and, conversely, to develop a mathematical viewpoint on basic... Lees meer

Orthogonal Polynomials and Random Matrices

• Paperback | Courant Lecture Notes
• Expands on a set of lectures held at the Courant Institute on Riemann-Hilbert problems, orthogonal polynomials, and random matrix theory. The goal of ... Lees meer

Hyperbolic Partial Differential Equations

Peter D. Lax

• Paperback | Courant Lecture Notes
• The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optic... Lees meer

Supersymmetry For Mathematicians

V. S. Varadarajan

• Paperback | Engels | Courant Lecture Notes
• Supersymmetry has been studied by theoretical physicists since the early 1970s. This book presents a cogent and self-contained exposition of the found... Lees meer

Topics in Nonlinear Functional Analysis

Louis Nirenberg

• Paperback | Courant Lecture Notes
• Introduces the notion of topological degree and develops its basic properties. This book uses these properties in the discussion of bifurcation theory... Lees meer

Semilinear Schrodinger Equations

• Paperback | Courant Lecture Notes
• The nonlinear Schrodinger equation has received a great deal of attention from mathematicians, particularly because of its applications to nonlinear o... Lees meer