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| Author | : José-Francisco Rodrigues |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 122 |
| Release | : 2004 |
| Genre | : Science |
| ISBN | : 0821832786 |
Contains both survey and research articles on methods of optimal mass transport and applications in physics.
| Author | : Alec L. Matheson |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 230 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 082183925X |
The articles in this book are based on talks at a conference devoted to interrelations between function theory and the theory of operators. The main theme of the book is the role of Alexandrov-Clark measures. Two of the articles provide the introduction to the theory of Alexandrov-Clark measures and to its applications in the spectral theory of linear operators. The remaining articles deal with recent results in specific directions related to the theme of the book.
| Author | : Pietro Poggi-Corradini |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 226 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 0821836102 |
Comprised of papers from the IIIrd Prairie Analysis Seminar held at Kansas State University, this book reflects the many directions of current research in harmonic analysis and partial differential equations. Included is the work of the distinguished main speaker, Tadeusz Iwaniec, his invited guests John Lewis and Juan Manfredi, and many other leading researchers. The main topic is the so-called p-harmonic equation, which is a family of nonlinear partial differential equations generalizing the usual Laplace equation. This study of p-harmonic equations touches upon many areas of analysis with deep relations to functional analysis, potential theory, and calculus of variations. The material is suitable for graduate students and research mathematicians interested in harmonic analysis and partial differential equations.
| Author | : Cédric Villani |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 370 |
| Release | : 2021-08-25 |
| Genre | : Education |
| ISBN | : 1470467267 |
This is the first comprehensive introduction to the theory of mass transportation with its many—and sometimes unexpected—applications. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. In 1781, Gaspard Monge defined the problem of “optimal transportation” (or the transferring of mass with the least possible amount of work), with applications to engineering in mind. In 1942, Leonid Kantorovich applied the newborn machinery of linear programming to Monge's problem, with applications to economics in mind. In 1987, Yann Brenier used optimal transportation to prove a new projection theorem on the set of measure preserving maps, with applications to fluid mechanics in mind. Each of these contributions marked the beginning of a whole mathematical theory, with many unexpected ramifications. Nowadays, the Monge-Kantorovich problem is used and studied by researchers from extremely diverse horizons, including probability theory, functional analysis, isoperimetry, partial differential equations, and even meteorology. Originating from a graduate course, the present volume is intended for graduate students and researchers, covering both theory and applications. Readers are only assumed to be familiar with the basics of measure theory and functional analysis.
| Author | : Bertin Diarra |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 384 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 0821836846 |
With contributions by leading mathematicians, this proceedings volume reflects the program of the Eighth International Conference on $p$-adic Functional Analysis held at Blaise Pascal University (Clermont-Ferrand, France). Articles in the book offer a comprehensive overview of research in the area. A wide range of topics are covered, including basic ultrametric functional analysis, topological vector spaces, measure and integration, Choquet theory, Banach and topological algebras,analytic functions (in particular, in connection with algebraic geometry), roots of rational functions and Frobenius structure in $p$-adic differential equations, and $q$-ultrametric calculus. The material is suitable for graduate students and researchers interested in number theory, functionalanalysis, and algebra.
| Author | : Robert L. Devaney |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 218 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 0821836250 |
Chaotic behavior of (even the simplest) iterations of polynomial maps of the complex plane was known for almost one hundred years due to the pioneering work of Farou, Julia, and their contemporaries. However, it was only twenty-five years ago that the first computer generated images illustrating properties of iterations of quadratic maps appeared. These images of the so-called Mandelbrot and Julia sets immediately resulted in a strong resurgence of interest in complex dynamics. The present volume, based on the talks at the conference commemorating the twenty-fifth anniversary of the appearance of Mandelbrot sets, provides a panorama of current research in this truly fascinating area of mathematics.
| Author | : Robert S. Doran |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 434 |
| Release | : 2004 |
| Genre | : Computers |
| ISBN | : 0821834029 |
John von Neumann and Marshall Stone were two giants of Twentieth Century mathematics. In honor of the 100th anniversary of their births, a mathematical celebration was organized featuring developments in fields where both men were major influences. This volume contains articles from the AMS Special Session, Operator Algebras, Quantization and Noncommutative Geometry: A Centennial Celebration in Honor of John von Neumann and Marshall H. Stone. Papers range from expository and refereed and cover a broad range of mathematical topics reflecting the fundamental ideas of von Neumann and Stone. Most contributions are expanded versions of the talks and were written exclusively for this volume. Included, among Also featured is a reprint of P.R. Halmos's The Legend of John von Neumann. The book is suitable for graduate students and researchers interested in operator algebras and applications, including noncommutative geometry.
| Author | : William Abikoff |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 364 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 0821836072 |
Contains proceedings that reflects the 2001 Ahlfors-Bers Colloquium held at the University of Connecticut (Storrs). This book is suitable for graduate students and researchers interested in complex analysis.
| Author | : Gary R. Jensen |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 162 |
| Release | : 2006 |
| Genre | : History |
| ISBN | : 082183603X |
Articles in this book are based on talks given at the conference commemorating the 150th anniversary of the Washington University in St. Louis. The articles cover a wide range of important topics in mathematics, and are written by former and present faculty or graduates of the Washington University Department of Mathematics. The volume is prefaced by a brief history of the Washington University Department of Mathematics, a roster of those who received the PhD degree from the department, and a list of the Washington University Department of Mathematics faculty.
| Author | : Lawrence Allen Zalcman |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 456 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 0821837095 |
This volume is a collection of papers reflecting the conference held in Nahariya, Israel in honor of Professor Lawrence Zalcman's sixtieth birthday. The papers, many written by leading authorities, range widely over classical complex analysis of one and several variables, differential equations, and integral geometry. Topics covered include, but are not limited to, these areas within the theory of functions of one complex variable: complex dynamics, elliptic functions, Kleinian groups, quasiconformal mappings, Tauberian theorems, univalent functions, and value distribution theory. Altogether, the papers in this volume provide a comprehensive overview of activity in complex analysis at the beginning of the twenty-first century and testify to the continuing vitality of the interplay between classical and modern analysis. It is suitable for graduate students and researchers interested in computer analysis and differential geometry. Information for our distributors: This book is co-published with Bar-Ilan University.
