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Author : Carlos Villegas-Blas
Publisher : American Mathematical Soc.
Page : 161 pages
File Size : 48,5 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 9780821858042
Author : Anonim
Publisher : Unknown
Page : 148 pages
File Size : 44,6 Mb
Release : 2008
Category : Quantum theory
ISBN : 0821881558
Author : Carlos Villegas-Blas
Publisher : American Mathematical Soc.
Page : 161 pages
File Size : 51,9 Mb
Release : 2008-12-02
Category : Mathematics
ISBN : 9780821840641
This book consists of three expository articles written by outstanding researchers in Mathematical Physics: Rafael Benguria, Peter Hislop, and Elliott Lieb. The articles are based on their lectures at the Fourth Summer School in Analysis and Mathematical Physics, held at the Institute of Mathematics, Universidad Nacional Autonoma de Mexico, Cuernavaca in May 2005. The main goal of the articles is to link the basic knowledge of a graduate student in Mathematics with three current research topics in Mathematical Physics: Isoperimetric inequalities for eigenvalues of the Laplace Operator, Random Schrodinger Operators, and Stability of Matter, respectively. These well written articles will guide and introduce the reader to current research topics and will also provide information on recent progress in some areas of Mathematical Physics.
Author : Salvador Pérez-Esteva,Carlos Villegas-Blas
Publisher : American Mathematical Soc.
Page : 146 pages
File Size : 52,6 Mb
Release : 2000
Category : Geometric quantization
ISBN : 9780821821152
The first Summer School of Analysis and Mathematical Physics of the Universidad Nacional Autónoma de México (Cuernavaca) offered graduate and advanced undergraduate students courses on modern topics in the overlap between analysis and physics. This volume contains the expanded notes from the lectures by Brian Hall, Alejandro Uribe, and David Borthwick. The articles introduce readers to mathematical methods of classical and quantum mechanics and the link between these two theories: quantization and semiclassical analysis. Hall writes about holomorphic methods in analysis and mathematical physics and includes exercises. Uribe's lectures covered trace formulae, in particular asymptotic behavior and the relationship between the asymptotics and the geometric properties of the classical system. Borthwick presents an introduction to Kähler quantization, including the moment map, the orbit method, and symmetry and reduction. The exposition in the entire volume is geared to introducing graduate students with a basic knowledge of mathematics into areas of active research. This volume is a joint publication of the American Mathematical Society and the Sociedad Matematica Mexicana. Members of the SMM may order directly from the AMS at the AMS member price.
Author : Salvador Pérez-Esteva,Carlos Villegas-Blas
Publisher : American Mathematical Soc.
Page : 292 pages
File Size : 41,8 Mb
Release : 2001
Category : Mathematics
ISBN : 0821856251
For the second time, a Summer School in Analysis and Mathematical Physics took place at the Universidad Nacional Autonoma de Mexico in Cuernavaca. The purpose of the schools is to provide a bridge from standard graduate courses in mathematics to current research topics, particularly in analysis. The lectures are given by internationally recognized specialists in the fields. The topics covered in this Second Summer School include harmonic analysis, complex analysis, pseudodifferential operators, the mathematics of quantum chaos, and non-linear analysis.
Author : m Summer School in Analysis and Mathematical Physics 2000 Cuernavaca,Salvador Pérez-Esteva,Carlos Villegas-Blas,Summer School in Analysis and Mathematical Physics
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 47,8 Mb
Release : 2001
Category : Mathematics
ISBN : 9780821827086
For the second time, a Summer School in Analysis and Mathematical Physics took place at the Universidad Nacional Autonoma de Mexico in Cuernavaca. The purpose of the schools is to provide a bridge from standard graduate courses in mathematics to current research topics, particularly in analysis. The lectures are given by internationally recognized specialists in the fields. The topics covered in this Second Summer School include harmonic analysis, complex analysis, pseudodifferential operators, the mathematics of quantum chaos, and non-linear analysis.
Author : L. D. Faddeev
Publisher : American Mathematical Soc.
Page : 336 pages
File Size : 40,7 Mb
Release : 1988
Category : Mathematics
ISBN : 0821831208
A collection of survey papers on the 50th anniversary of the institute.
Author : Anonim
Publisher : Academic Press
Page : 369 pages
File Size : 54,6 Mb
Release : 2011-06-30
Category : Technology & Engineering
ISBN : 9780123859860
Advances in Imaging and Electron Physics merges two long-running serials--Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains. Contributions from leading international scholars and industry experts Discusses hot topic areas and presents current and future research trends Invaluable reference and guide for physicists, engineers and mathematicians
Author : Maria Ulan,Eivind Schneider
Publisher : Springer Nature
Page : 231 pages
File Size : 42,8 Mb
Release : 2021-02-12
Category : Mathematics
ISBN : 9783030632533
This volume presents lectures given at the Wisła 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisła, Poland, and was organized by the Baltic Institute of Mathematics. The lectures were dedicated to symplectic and Poisson geometry, tractor calculus, and the integration of ordinary differential equations, and are included here as lecture notes comprising the first three chapters. Following this, chapters combine theoretical and applied perspectives to explore topics at the intersection of differential geometry, differential equations, and mathematical physics. Specific topics covered include: Parabolic geometry Geometric methods for solving PDEs in physics, mathematical biology, and mathematical finance Darcy and Euler flows of real gases Differential invariants for fluid and gas flow Differential Geometry, Differential Equations, and Mathematical Physics is ideal for graduate students and researchers working in these areas. A basic understanding of differential geometry is assumed.
Author : Fernando Giráldez,Miguel Ángel Herrero
Publisher : American Mathematical Soc.
Page : 137 pages
File Size : 53,9 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821846636
Developmental biology and tumour growth are two important areas of current research where mathematics increasingly provides powerful new techniques and insights. The unfolding complexity of living structures from egg to embryo gives rise to a number of difficult quantitative problems that are ripe for mathematical models and analysis. Understanding this early development process involves the study of pattern formation, which mathematicians view through the lens of dynamical systems. This book addresses several issues in developmental biology, including Notch signalling pathway integration and mesenchymal compartment formation. Tumour growth is one of the primary challenges of cancer research. Its study requires interdisciplinary approaches involving the close collaboration of mathematicians, biologists and physicians. The summer school addressed angiogenesis, modelling issues arising in radiotherapy, and tumour growth viewed from the individual cell and the relation to a multiphase-fluid flow picture of that process. This book is suitable for researchers, graduate students, and advanced undergraduates interested in mathematical methods of developmental biology or tumour growth.
Author : Santiago Carrillo Menéndez,José Luis Fernández Pérez
Publisher : American Mathematical Soc.
Page : 158 pages
File Size : 42,9 Mb
Release : 2010
Category : Business & Economics
ISBN : 9780821846735
The paper by R. Zagst and M. Scherer is a short course on the different approaches used for pricing, hedging and risk management of credit derivatives. --
Author : European Mathematical Summer School (2001 : St. Petersburg)
Publisher : Springer Science & Business Media
Page : 245 pages
File Size : 46,6 Mb
Release : 2003
Category : Asymptotic expansions
ISBN : 9783540403128
At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure; the corresponding central limit theorems; the combinatorics of modular curves and random trees with application to QFT; free probability and random matrices, and Hecke algebras.
Author : Tewodros Amdeberhan,Luis A. Medina,Victor H. Moll
Publisher : American Mathematical Soc.
Page : 426 pages
File Size : 40,5 Mb
Release : 2010
Category : Mathematics
ISBN : 9780821848692
These proceedings reflect the special session on Experimental Mathematics held January 5, 2009, at the Joint Mathematics Meetings in Washington, DC as well as some papers specially solicited for this volume. Experimental Mathematics is a recently structured field of Mathematics that uses the computer and advanced computing technology as a tool to perform experiments. These include the analysis of examples, testing of new ideas, and the search of patterns to suggest results and to complement existing analytical rigor. The development of a broad spectrum of mathematical software products, such as MathematicaR and MapleTM, has allowed mathematicians of diverse backgrounds and interests to use the computer as an essential tool as part of their daily work environment. This volume reflects a wide range of topics related to the young field of Experimental Mathematics. The use of computation varies from aiming to exclude human input in the solution of a problem to traditional mathematical questions for which computation is a prominent tool.
Author : Aydin Aytuna
Publisher : American Mathematical Soc.
Page : 211 pages
File Size : 46,8 Mb
Release : 2009-03-20
Category : Mathematics
ISBN : 9780821844601
In recent years, the interplay between the methods of functional analysis and complex analysis has led to some remarkable results in a wide variety of topics. It turned out that the structure of spaces of holomorphic functions is fundamentally linked to certain invariants initially defined on abstract Frechet spaces as well as to the developments in pluripotential theory. The aim of this volume is to document some of the original contributions to this topic presented at a conference held at Sabanci University in Istanbul, in September 2007. This volume also contains some surveys that give an overview of the state of the art and initiate further research in the interplay between functional and complex analysis.
Author : Motoko Kotani,Hisashi Naito,Tatsuya Tate
Publisher : American Mathematical Soc.
Page : 363 pages
File Size : 49,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821842690
This volume is an outgrowth of an international conference in honor of Toshikazu Sunada on the occasion of his sixtieth birthday. The conference took place at Nagoya University, Japan, in 2007. Sunada's research covers a wide spectrum of spectral analysis, including interactions among geometry, number theory, dynamical systems, probability theory and mathematical physics. Readers will find papers on trace formulae, isospectral problems, zeta functions, quantum ergodicity, random waves, discrete geometric analysis, value distribution, and semiclassical analysis. This volume also contains an article that presents an overview of Sunada's work in mathematics up to the age of sixty.