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Singularity Theory And Some Problems Of Functional Analysis


Singularity Theory And Some Problems Of Functional Analysis
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Singularity Theory And Some Problems Of Functional Analysis


Singularity Theory And Some Problems Of Functional Analysis
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Author :
language : en
Publisher:
Release Date : 1992

Singularity Theory And Some Problems Of Functional Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.




Singularity Theory And Some Problems Of Functional Analysis


Singularity Theory And Some Problems Of Functional Analysis
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Author : Semen Grigorʹevich Gindikin
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

Singularity Theory And Some Problems Of Functional Analysis written by Semen Grigorʹevich Gindikin 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 1992 with Singularities (Mathematics). categories.


The emergence of singularity theory marks the return of mathematics to the study of the simplest analytical objects: functions, graphs, curves, surfaces. The modern singularity theory for smooth mappings, which is currently undergoing intensive developments, can be thought of as a crossroad where the most abstract topics (such as algebraic and differential geometry and topology, complex analysis, invariant theory, and Lie group theory) meet the most applied topics (such as dynamical systems, mathematical physics, geometrical optics, mathematical economics, and control theory). The papers in this volume include reviews of established areas as well as presentations of recent results in singularity theory. The authors have paid special attention to examples and discussion of results rather than burying the ideas in formalism, notation, and technical details. The aim is to introduce all mathematicians - as well as physicists, engineers, and other consumers of singularity theory - to the world of ideas and methods in this burgeoning area.



New Developments In Singularity Theory


New Developments In Singularity Theory
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Author : Dirk Wiersma
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

New Developments In Singularity Theory written by Dirk Wiersma and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Singularities arise naturally in a huge number of different areas of mathematics and science. As a consequence, singularity theory lies at the crossroads of paths that connect many of the most important areas of applications of mathematics with some of its most abstract regions. The main goal in most problems of singularity theory is to understand the dependence of some objects of analysis, geometry, physics, or other science (functions, varieties, mappings, vector or tensor fields, differential equations, models, etc.) on parameters. The articles collected here can be grouped under three headings. (A) Singularities of real maps; (B) Singular complex variables; and (C) Singularities of homomorphic maps.



Theory Of Singularities And Its Applications


Theory Of Singularities And Its Applications
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Author : Vladimir Igorevich Arnolʹd
language : en
Publisher:
Release Date : 1990

Theory Of Singularities And Its Applications written by Vladimir Igorevich Arnolʹd and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Singularities (Mathematics) categories.


The theory of singularities lies at the crossroads between those branches of mathematics which are the most abstract and those which are the most applied. Algebraic and differential geometry and topology, commutative algebra and group theory are as intimately connected to singularity theory as are dynamical systems theory, control theory, differential equations, quantum mechanical and quasi-classical asymptotics, optics, and functional analysis. This collection of papers incorporates recent results of participants in the editor's ongoing seminar in singularity theory, held in the Mechanics and.



Topics In Singularity Theory


Topics In Singularity Theory
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Author : Alekseĭ Nikolaevich Khovanskiĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 1997

Topics In Singularity Theory written by Alekseĭ Nikolaevich Khovanskiĭ 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 1997 with Geometry, Projective categories.




Applied Problems Of Radon Transform


Applied Problems Of Radon Transform
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Author : Semen Grigorʹevich Gindikin
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Applied Problems Of Radon Transform written by Semen Grigorʹevich Gindikin 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 1994 with Mathematics categories.


This collection is designed to acquaint readers with advances in Radon transforms carried out in the former Soviet Union. The papers focus on mathematical problems related to applications of Radon transforms. Some of the problems arose from practical tomography, while others are theoretical problems originating in tomography. The book should be of use to mathematicians working in integral geometry and mathematical problems of tomography, as well as scientists who work on inverse problems and their computer realization.



Wave Propagation Scattering Theory


Wave Propagation Scattering Theory
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Author : M. Sh Birman
language : en
Publisher: American Mathematical Soc.
Release Date : 1993-12-20

Wave Propagation Scattering Theory written by M. Sh Birman 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 1993-12-20 with Group theory categories.


The papers in this collection were written primarily by members of the St. Petersburg seminar in mathematical physics. The seminar, now run by O. A. Ladyzhenskaya, was initiated in 1947 by V. I. Smirnov, to whose memory this volume is dedicated. The papers in the collection are devoted mainly to wave propagation processes, scattering theory, integrability of nonlinear equations, and related problems of spectral theory of differential and integral operators. The book is of interest to mathematicians working in mathematical physics and differential equations, as well as to physicists studying various wave propagation processes.



Some Questions Of Differential Geometry In The Large


Some Questions Of Differential Geometry In The Large
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Author : E. V. Shikin
language : en
Publisher: American Mathematical Soc.
Release Date : 1996-07-16

Some Questions Of Differential Geometry In The Large written by E. V. Shikin 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 1996-07-16 with categories.


This collection contains articles that present recent results by geometers in Russia and the Ukraine. Papers in the collection deal with various questions related to the structure, symmetries, and embeddings of submanifolds in Euclidean and pseudo-Euclidian spaces. This collection offers a review of the challenges facing specialists in geometry in the large and features current research in the field.



Selected Papers On Number Theory Algebraic Geometry And Differential Geometry


Selected Papers On Number Theory Algebraic Geometry And Differential Geometry
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Author : Katsumi Nomizu
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Selected Papers On Number Theory Algebraic Geometry And Differential Geometry written by Katsumi Nomizu 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 1994 with Geometry, Algebraic categories.


This book presents papers that originally appeared in the Japanese journal Sugaku. The papers explore the relationship between number theory, algebraic geometry, and differential geometry.



Selected Papers On Analysis Probability And Statistics


Selected Papers On Analysis Probability And Statistics
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Author : Katsumi Nomizu
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Selected Papers On Analysis Probability And Statistics written by Katsumi Nomizu 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 1994 with Mathematics categories.


This book presents papers in the general area of mathematical analysis as it pertains to probability and statistics, dynamical systems, differential equations, and analytic function theory. Among the topics discussed are: stochastic differential equations, spectra of the Laplacian and Schrödinger operators, nonlinear partial differential equations which generate dissipative dynamical systems, fractal analysis on self-similar sets, and the global structure of analytic functions.