Second Summer School In Analysis And Mathematical Physics
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Second Summer School In Analysis And Mathematical Physics
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Author : Salvador Pérez-Esteva
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Second Summer School In Analysis And Mathematical Physics written by Salvador Pérez-Esteva and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
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.
First Summer School In Analysis And Mathematical Physics
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Author : Salvador Pérez-Esteva
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
First Summer School In Analysis And Mathematical Physics written by Salvador Pérez-Esteva and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
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.
Fourth Summer School In Analysis And Mathematical Physics
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Author : Carlos Villegas-Blas
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-12-02
Fourth Summer School In Analysis And Mathematical Physics written by Carlos Villegas-Blas and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-02 with Mathematics categories.
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.
Classical Fourier Analysis
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Author : Loukas Grafakos
language : en
Publisher: Springer
Release Date : 2014-11-17
Classical Fourier Analysis written by Loukas Grafakos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-17 with Mathematics categories.
The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study. This third edition includes new Sections 3.5, 4.4, 4.5 as well as a new chapter on “Weighted Inequalities,” which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references.
Fluid Flow And Transport In Porous Media Mathematical And Numerical Treatment
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Author : Zhangxin Chen
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Fluid Flow And Transport In Porous Media Mathematical And Numerical Treatment written by Zhangxin Chen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
The June 2001 conference brought together mathematicians, computational scientists, and engineers working on the mathematical and numerical treatment of fluid flow and transport in porous media. This collection of 43 papers from that conference reports on recent advances in network flow modeling, parallel computation, optimization, upscaling, uncertainty reduction, media characterization, and chemically reactive phenomena. Topics include modeling horizontal wells using hybrid grids in reservoir simulation, a high order Lagrangian scheme for flow through unsaturated porous media, and a streamline front tracking method for two- and three- phase flow. No index. Annotation copyrighted by Book News, Inc., Portland, OR.
Fundamentals Of Fourier Analysis
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Author : Loukas Grafakos
language : en
Publisher: Springer Nature
Release Date : 2024-07-21
Fundamentals Of Fourier Analysis written by Loukas Grafakos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-21 with Mathematics categories.
This self-contained text introduces Euclidean Fourier Analysis to graduate students who have completed courses in Real Analysis and Complex Variables. It provides sufficient content for a two course sequence in Fourier Analysis or Harmonic Analysis at the graduate level. In true pedagogical spirit, each chapter presents a valuable selection of exercises with targeted hints that will assist the reader in the development of research skills. Proofs are presented with care and attention to detail. Examples are provided to enrich understanding and improve overall comprehension of the material. Carefully drawn illustrations build intuition in the proofs. Appendices contain background material for those that need to review key concepts. Compared with the author’s other GTM volumes (Classical Fourier Analysis and Modern Fourier Analysis), this text offers a more classroom-friendly approach as it contains shorter sections, more refined proofs, and a wider range of exercises. Topics include the Fourier Transform, Multipliers, Singular Integrals, Littlewood–Paley Theory, BMO, Hardy Spaces, and Weighted Estimates, and can be easily covered within two semesters.
Fast Algorithms For Structured Matrices
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Author : Vadim Olshevsky
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Fast Algorithms For Structured Matrices written by Vadim Olshevsky and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
One of the best known fast computational algorithms is the fast Fourier transform method. Its efficiency is based mainly on the special structure of the discrete Fourier transform matrix. Recently, many other algorithms of this type were discovered, and the theory of structured matrices emerged. This volume contains 22 survey and research papers devoted to a variety of theoretical and practical aspects of the design of fast algorithms for structured matrices and related issues. Included are several papers containing various affirmative and negative results in this direction. The theory of rational interpolation is one of the excellent sources providing intuition and methods to design fast algorithms. The volume contains several computational and theoretical papers on the topic. There are several papers on new applications of structured matrices, e.g., to the design of fast decoding algorithms, computing state-space realizations, relations to Lie algebras, unconstrained optimization, solving matrix equations, etc. The book is suitable for mathematicians, engineers, and numerical analysts who design, study, and use fast computational algorithms based on the theory of structured matrices.
Finite And Infinite Dimensional Analysis In Honor Of Leonard Gross
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Author : Hui-Hsiung Kuo
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Finite And Infinite Dimensional Analysis In Honor Of Leonard Gross written by Hui-Hsiung Kuo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross's former Ph.D. students and their descendants. Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross's work and permeate diverse fields. Topics include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann analysis, heat kernels, and some applications. The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered.
Inverse Problems Image Analysis And Medical Imaging
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Author : M. Zuhair Nashed
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Inverse Problems Image Analysis And Medical Imaging written by M. Zuhair Nashed and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.
This book contains the proceedings of the Special Session, Interaction of Inverse Problems and Image Analysis, held at the January 2001 meeting of the AMS in New Orleans, LA. The common thread among inverse problems, signal analysis, and image analysis is a canonical problem: recovering an object (function, signal, picture) from partial or indirect information about the object. Both inverse problems and imaging science have emerged in recent years as interdisciplinary research fields with profound applications in many areas of science, engineering, technology, and medicine. Research in inverse problems and image processing shows rich interaction with several areas of mathematics and strong links to signal processing, variational problems, applied harmonic analysis, and computational mathematics. This volume contains carefully referred and edited original research papers and high-level survey papers that provide overview and perspective on the interaction of inverse problems, image analysis, and medical imaging. The book is suitable for graduate students and researchers interested in signal and image processing and medical imaging.
Topics In Harmonic Analysis And Ergodic Theory
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Author : Joseph Rosenblatt
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Topics In Harmonic Analysis And Ergodic Theory written by Joseph Rosenblatt and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
There are strong connections between harmonic analysis and ergodic theory. A recent example of this interaction is the proof of the spectacular result by Terence Tao and Ben Green that the set of prime numbers contains arbitrarily long arithmetic progressions. This text presents a series of essays on the topic.