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Author : Anonim
Publisher : Unknown
Page : 199 pages
File Size : 53,8 Mb
Release : 1992
Category : Electronic
ISBN : 1470433648
Author : Semen Grigorʹevich Gindikin
Publisher : American Mathematical Soc.
Page : 212 pages
File Size : 45,7 Mb
Release : 1992
Category : Singularities (Mathematics).
ISBN : 0821875027
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.
Author : Dirk Wiersma,C.T.C. Wall,V. Zakalyukin
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401008341
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.
Author : Alekseĭ Nikolaevich Khovanskiĭ
Publisher : American Mathematical Soc.
Page : 276 pages
File Size : 43,5 Mb
Release : 1997
Category : Geometry, Projective
ISBN : 0821808079
Author : Semen Grigorʹevich Gindikin
Publisher : American Mathematical Soc.
Page : 276 pages
File Size : 42,7 Mb
Release : 1994
Category : Mathematics
ISBN : 0821875086
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.
Author : M. Sh Birman
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 47,9 Mb
Release : 1993-12-20
Category : Group theory
ISBN : 0821895915
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.
Author : E. V. Shikin
Publisher : American Mathematical Soc.
Page : 208 pages
File Size : 46,9 Mb
Release : 1996-07-16
Category : Electronic
ISBN : 0821895974
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.
Author : G. E. Mints
Publisher : American Mathematical Soc.
Page : 206 pages
File Size : 55,6 Mb
Release : 1996-11-05
Category : Computational complexity
ISBN : 0821895982
This collection contains translations of papers on propositional satisfiability and related logical problems which appeared in Problemy Sokrashcheniya Perebora, published in Russian in 1987 by the Scientific Council ``Cybernetics'' of the USSR Academy of Sciences. The problems form the nucleus of this intensively developing area. This translation is dedicated to the memory of two remarkable Russian mathematicians, Sergei Maslov and his wife, Nina Maslova. Maslov is known as the originator of the inverse method in automated deduction, which was discovered at the same time as the resolution method of J. A. Robinson and has approximately the same range of applications. In 1981, Maslov proposed an iterative algorithm for propositional satisfiability based on some general ideas of search described in detail in his posthumously published book, Theory of Deductive Systems and Its Applications (1986; English 1987). This collection contains translations of papers on proposititional satisfiability and related logical problems. The papers related to Maslov's iterative method of search reduction play a significant role.
Author : Katsumi Nomizu
Publisher : American Mathematical Soc.
Page : 170 pages
File Size : 40,6 Mb
Release : 1994
Category : Geometry, Algebraic
ISBN : 0821875116
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.
Author : Vladimir Igorevich Arnolʹd
Publisher : Unknown
Page : 346 pages
File Size : 44,8 Mb
Release : 1990
Category : Singularities (Mathematics)
ISBN : 1470445484
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.
Author : Katsumi Nomizu
Publisher : American Mathematical Soc.
Page : 176 pages
File Size : 54,5 Mb
Release : 1994
Category : Mathematics
ISBN : 0821875124
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.
Author : Alexander K. Kelmans
Publisher : American Mathematical Soc.
Page : 242 pages
File Size : 53,9 Mb
Release : 1994-02-18
Category : Mathematics
ISBN : 0821895923
This is a collection of translations of a variety of papers on discrete mathematics by members of the Moscow Seminar on Discrete Mathematics. This seminar, begun in 1972, was marked by active participation and intellectual ferment. Mathematicians in the USSR often encountered difficulties in publishing, so many interesting results in discrete mathematics remained unknown in the West for some years, and some are unknown even to the present day. To help fill this communication gap, this collection offers papers that were obscurely published and very hard to find. Among the topics covered here are: graph theory, network flow and multicommodity flow, linear programming and combinatorial optimization, matroid theory and submodular systems, matrix theory and combinatorics, parallel computing, complexity of algorithms, random graphs and statistical mechanics, coding theory, and algebraic combinatorics and group theory.
Author : V. N. Gerasimov,N. G. Nesterenko,A. I. Valitskas
Publisher : American Mathematical Soc.
Page : 226 pages
File Size : 44,5 Mb
Release : 1993
Category : Mathematics
ISBN : 0821875035
This book contains the doctoral dissertations of three students from Novosibirsk who participated in the seminar of L. A. Bokut'. The dissertation of Gerasimov focuses on Cohn's theory of noncommutative matrix localizations. Gerasimov presents a construction of matrix localization that is not directly related to (prime) matrix ideals of Cohn, but rather deals with localizations of arbitrary subsets of matrices over a ring. The work of Valitskas applies ideas and constructions of Gerasimov to embeddings of rings into radical rings (in the sense of Jacobson) to develop a theory essentially parallel to Cohn's theory of embeddings of rings into skew fields. Nesterenko's dissertation solves some important problems of Anan'in and Bergman about representations of (infinite-dimensional) algebras and categories in (triangular) matrices over commutative rings.
Author : Katsumi Nomizu
Publisher : American Mathematical Soc.
Page : 160 pages
File Size : 45,7 Mb
Release : 1997
Category : Mathematics
ISBN : 0821808400
The five papers originally appeared in Japanese in the journal Sugaku and would ordinarily appear in the Society's translation of that journal, but are published separately here to expedite their dissemination. They explore such aspects as representation theory, differential geometry, invariant theory, and complex analysis. No index. Member prices are $47 for institutions and $35 for individual. Annotation copyrighted by Book News, Inc., Portland, OR.
Author : Leonid Arkadʹevich Bokutʹ,Michiel Hazewinkel,I︠U︡riĭ Grigorʹevich Reshetni︠a︡k,Simeon Ivanov
Publisher : American Mathematical Soc.
Page : 204 pages
File Size : 51,5 Mb
Release : 1995
Category : Algebra
ISBN : 0821802860
This book contains papers presented at the Third Siberian School: Algebra and Analysis, held in Irkutsk in the summer of 1989. Drawing 130 participants from all over the former Soviet Union, the school sought to acquaint Siberian and other mathematicians with the latest achievements in a wide variety of mathematical areas and to give young researchers an opportunity to present their work. The papers presented here range over topics in algebra, analysis, geometry, and topology.