Courant Lecture Notes – serie
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33 produkter
Orthogonal Polynomials and Random Matrices
A Riemann-Hilbert Approach
Av American Mathematical Society
Häftad, 2000
494 kr
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This volume expands on a set of lectures held at the Courant Institute on Riemann-Hilbert problems, orthogonal polynomials, and random matrix theory. The goal of the course was to prove universality for a variety of statistical quantities arising in the theory of random matrix models. The central …
Nonlinear Analysis on Manifolds
Sobolev Spaces and Inequalities
Häftad, 2000
522 kr
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This volume offers an expanded version of lectures given at the Courant Institute on the theory of Sobolev spaces on Riemannian manifolds. 'Several surprising phenomena appear when studying Sobolev spaces on manifolds,' according to the author. 'Questions that are elementary for Euclidean space …
Geometric Wave Equations
Av American Mathematical Society
Häftad, 2000
369 kr
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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 equations with critical Sobolev exponents and on wave maps in two space dimensions. Background material and references have …
Topics in Nonlinear Functional Analysis
Häftad, 2001
369 kr
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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 analysis. The current edition is a reprint of these notes, with added bibliographic references. Topological and analytic …
Probability Theory
Häftad, 2001
369 kr
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This volume presents topics in probability theory covered during a first-year graduate course given at the Courant Institute of Mathematical Sciences. The necessary background material in measure theory is developed, including the standard topics, such as extension theorem, construction of …
Algebraic Curves and One-dimensional Fields
Av American Mathematical Society
Häftad, 2002
396 kr
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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, the authors also bring out aspects of curves that are unique to them and emphasize connections with algebra. This text …
Introduction to PDEs and Waves for the Atmosphere and Ocean
Av American Mathematical Society
Häftad, 2003
494 kr
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Written by a leading specialist in the area of atmosphere/ocean science (AOS), this book presents an excellent introduction to this important topic. The goals of these lecture notes, based on courses presented by the author at the Courant Institute of Mathematical Sciences, are to introduce …
Supersymmetry for Mathematicians
An Introduction
Av American Mathematical Society
Häftad, 2004
591 kr
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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 raises attract the interest of mathematicians. Written by the well-known mathematician, V. S. Varadarajan, this book …
Notes on Dynamical Systems
Av Jurgen Moser, Eduard J. Zehnder
Häftad, 2005
522 kr
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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 mathematical techniques minimal but giving detailed proofs and many examples and illustrations from physics and celestial …
Stochastic Processes
Häftad, 2007
410 kr
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This is a brief introduction to stochastic processes studying certain elementary continuous-time processes. After a description of the Poisson process and related processes with independent increments as well as a brief look at Markov processes with a finite number of jumps, the author proceeds to …
Large Deviations
Häftad, 2016
438 kr
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The theory of large deviations deals with rates at which probabilities of certain events decay as a natural parameter in the problem varies. This book, which is based on a graduate course on large deviations at the Courant Institute, focuses on three concrete sets of examples: (i) diffusions with …
Algebra with Galois Theory
Av American Mathematical Society
Häftad, 2007
410 kr
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The present text was first published in 1947 by the Courant Institute of Mathematical Sciences of New York University. Published under the title Modern Higher Algebra. Galois Theory, it was based on lectures by Emil Artin and written by Albert A. Blank. This volume became one of the most popular in …
Brief Introduction to Classical, Statistical, and Quantum Mechanics
Av American Mathematical Society
Häftad, 2006
410 kr
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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 fields. It is based on a graduate course given in 2006-07 at the Courant Institute of Mathematical Sciences. Among other …
Metastability and Markov State Models in Molecular Dynamics
Modeling, Analysis, Algorithmic Approaches
Av Christof Schutte, Marco Sarich
Häftad, 2014
452 kr
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Applications in modern biotechnology and molecular medicine often require simulation of biomolecular systems in atomic representation with immense length and timescales that are far beyond the capacity of computer power currently available. As a consequence, there is an increasing need for reduced …
Wigner Measure and Semiclassical Limits of Nonlinear Schrodinger Equations
Av American Mathematical Society
Häftad, 2008
424 kr
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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 Mathematical Sciences at New York University in the spring of 2007. The author's main purpose is to apply the theory of …
Random Matrix Theory
Invariant Ensembles and Universality
Häftad, 2009
466 kr
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This book features a unified derivation of the mathematical theory of the three classical types of invariant random matrix ensembles - orthogonal, unitary, and symplectic. The authors follow the approach of Tracy and Widom, but the exposition here contains a substantial amount of additional …
Introduction to Theoretical Fluid Mechanics
Häftad, 2009
424 kr
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This book gives an overview of classical topics in fluid dynamics, focusing on the kinematics and dynamics of incompressible inviscid and Newtonian viscous fluids, but also including some material on compressible flow. The topics are chosen to illustrate the mathematical methods of classical fluid …
Mathematical Analysis of Partial Differential Equations Modelling Electrostatic MEMS
Av Pierpaolo Esposito, Nassif Ghoussoub m. fl.
Häftad, 2010
633 kr
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Micro- and nanoelectromechanical systems (MEMS and NEMS), which combine electronics with miniature-size mechanical devices, are essential components of modern technology. It is the mathematical model describing 'electrostatically actuated' MEMS that is addressed in this monograph. Even the …
Quasi-Static State Analysis of Differential, Difference, Integral and Gradient Systems
Häftad, 2010
424 kr
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This book is based on a course on advanced topics in differential equations given in Spring 2010 at the Courant Institute of Mathematical Sciences. It describes aspects of mathematical modeling, analysis, computer simulation, and visualization in the mathematical sciences and engineering that …
Mathematical Methods for Analysis of a Complex Disease
Häftad, 2011
424 kr
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Complex diseases involve most aspects of population biology, including genetics, demographics, epidemiology, and ecology. Mathematical methods, including differential, difference, and integral equations, numerical analysis, and random processes, have been used effectively in all of these areas. The …
Mathematical Methods in Immunology
Häftad, 2012
423 kr
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Any organism, to survive, must use a variety of defense mechanisms. A relatively recent evolutionary development is that of the adaptive immune system, carried to a quite sophisticated level by mammals. The complexity of this system calls for its encapsulation by mathematical models, and this book …
Mathematical Methods of Electromagnetic Theory
Häftad, 2014
453 kr
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This text provides a mathematically precise but intuitive introduction to classical electromagnetic theory and wave propagation, with a brief introduction to special relativity. While written in a distinctive, modern style, Friedrichs manages to convey the physical intuition and 19th century basis …
Dynamical Approach to Random Matrix Theory
Av Laszlo Erdos, Horng-Tzer Yau
Häftad, 2017
523 kr
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This book is a concise and self-contained introduction of recent techniques to prove local spectral universality for large random matrices. Random matrix theory is a fast expanding research area, and this book mainly focuses on the methods that the authors participated in developing over the past …
Linear Algebra I
Av Frederick P. Greenleaf, Sophie Marques
Häftad, 2019
620 kr
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This book is the first 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 basic understanding of matrix algebra; and some proficiency with mathematical proofs. Proofs are emphasized and the …
Linear Algebra II
Av Federick P. Greenleaf, Sophie Marques
Häftad, 2020
718 kr
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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 basic understanding of matrix algebra; and some proficiency with mathematical proofs. Both volumes have been used for …
Lattice Models and Conformal Field Theory
Av Franck Gabriel, Clement Hongler m. fl.
Häftad, 2024
662 kr
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This book introduces the mathematical ideas connecting Statistical Mechanics and Conformal Field Theory (CFT). Building advanced structures on top of more elementary ones, the authors map out a well-posed road from simple lattice models to CFTs.Structured in two parts, the book begins by exploring …
Linear Algebra (Volumes I and II)
The Set
Av Federick P. Greenleaf, Sophie Marques
Häftad, 2020
1192 kr
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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 subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Proofs are emphasized and …
Harmonic Analysis
Av S.R.S. Varadhan, Courant Institute of Mathematical Sciences at New York University
Häftad, 2022
495 kr
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Harmonic Analysis is an important tool that plays a vital role in many areas of mathematics as well as applications. It studies functions by decomposing them into components that are special functions. A prime example is decomposing a periodic function into a linear combination of sines and …
Applied Stochastic Analysis
Häftad, 2024
718 kr
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This textbook introduces the major ideas of stochastic analysis with a view to modeling or simulating systems involving randomness. Suitable for students and researchers in applied mathematics and related disciplines, this book prepares readers to solve concrete problems arising in physically …
Semilinear Schrodinger Equations
Av American Mathematical Society
Häftad, 2003
633 kr
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The nonlinear Schrodinger equation has received a great deal of attention from mathematicians, particularly because of its applications to nonlinear optics. It is also a good model dispersive equation, since it is often technically simpler than other dispersive equations, such as the wave or the …
