Translations of Mathematical Monographs – serie
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188 produkter
Introduction to Morse Theory
Av American Mathematical Society
Häftad, 2001
640 kr
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In a very broad sense, 'spaces' are objects of study in geometry, and 'functions' are objects of study in analysis. There are, however, deep relations between functions defined on a space and the shape of the space, and the study of these relations is the main theme of Morse theory. In particular, …
Problems and Theorems in Linear Algebra
Av American Mathematical Society
Häftad, 1994
1991 kr
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There are a number of very good books available on linear algebra. From this one might deduce that the existing books contain all that one needs to know in the best possible form and that any new book would just repeat material in the old ones. However, new results in linear algebra appear …
Linear Infinite-particle Operators
Av American Mathematical Society
Inbunden, 1995
1991 kr
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The main subject of this book can be viewed in various ways. From the standpoint of functional analysis, it studies spectral properties of a certain class of linear operators; from the viewpoint of probability theory, it is concerned with the analysis of singular Markov processes; and, from the …
Riemannian Geometry
Av American Mathematical Society
Häftad, 1996
1991 kr
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This volume is an English translation of Sakai's textbook on Riemannian geometry which was originally written in Japanese and published in 1992. The author's intent behind the original book was to provide to advanced undergraduate and graduate students an introduction to modern Riemannian geometry …
Nontraditional Methods in Mathematical Hydrodynamics
Av American Mathematical Society
Inbunden, 1995
1991 kr
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This book discusses a number of qualitative features of mathematical models of incompressible fluids. Three basic systems of hydrodynamical equations are considered: the system of stationary Euler equations for flows of an ideal (nonviscous) fluid, stationary Navier-Stokes equations for flows of a …
Introduction to Linear Systems of Differential Equations
Av American Mathematical Society
Inbunden, 1995
1991 kr
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The theory of linear systems of differential equations is one of the cornerstones of the whole theory of differential equations. At its root is the concept of the Lyapunov characteristic exponent. In this book, Adrianova presents introductory material and further detailed discussions of Lyapunov …
Introduction to the Qualitative Theory of Dynamical Systems on Surfaces
Av American Mathematical Society
Inbunden, 1996
1991 kr
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Discreteness and Continuity in Problems of Chaotic Dynamics
Av American Mathematical Society
Inbunden, 1997
1991 kr
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This book presents the study of ergodic properties of so-called chaotic dynamical systems. One of the central topics is the interplay between deterministic and quasi-stochastic behavior in chaotic dynamics and between properties of continuous dynamical systems and those of their discrete …
Sign-Based Methods in Linear Statistical Models
Av American Mathematical Society
Inbunden, 1997
1991 kr
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Control of Systems with Aftereffect
Av American Mathematical Society
Inbunden, 1996
1991 kr
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The study of natural and social phemomena indicates that the future development of many processes depends not only on their present state, but also on their history. Such processes can be described mathematically by using the machinery of equations with aftereffect. This book is a comprehensive, …
Four-dimensional Integrable Hamiltonian Systems with Critical Points
Av American Mathematical Society
Inbunden, 1998
1991 kr
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The main topic of this book is the isoenergetic structure of the Liouville foliation generated by an integrable system with two degrees of freedom and the topological structure of the corresponding Poisson action of the group ${\mathbb R}^2$. This is a first step towards understanding the global …
Representations of Infinite-Dimensional Groups
Av American Mathematical Society
Inbunden, 1996
1991 kr
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Nonstandard Methods in Commutative Harmonic Analysis
Av American Mathematical Society
Inbunden, 1997
1991 kr
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This monograph discusses nonstandard analysis (NSA) and its applications to harmonic analysis on locally compact Abelian (LCA) groups. A new notion of approximation of topological groups by finite groups is introduced and investigated. Based on this notion, new results are obtained on convergence …
Best Approximation by Linear Superpositions (Approximate Nomography)
Av American Mathematical Society
Inbunden, 1996
1991 kr
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This book deals with problems of approximation of continuous or bounded functions of several variables by linear superposition of functions that are from the same class and have fewer variables. The main topic is the space of linear superpositions $D$ considered as a subspace of the space of …
Characters of Finite Groups Pt.2
Av Ya G. Berkovich, E.M. Zhmud
Inbunden, 1998
1991 kr
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This book places character theory and its applications to finite groups within the reach of people with a comparatively modest mathematical background. The work concentrates mostly on applications of character theory to finite groups. The main themes are degrees and kernels of irreducible …
Metric Characterization of Random Variables and Random Processes
Av Valery Buldygin, Yu V. Kozachenko
Inbunden, 2000
1991 kr
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The topic covered in this book is the study of metric and other close characteristics of different spaces and classes of random variables and the application of the entropy method to the investigation of properties of stochastic processes whose values, or increments, belong to given spaces. The …
Qualitative Topics in Integer Linear Programming
Inbunden, 1996
1991 kr
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Integer solutions for systems of linear inequalities, equations, and congruences are considered along with the construction and theoretical analysis of integer programming algorithms. The complexity of algorithms is analyzed dependent upon two parameters: the dimension, and the maximal modulus of …
Asymptotic Solutions of the One-Dimensional Schrodinger Equation
Av American Mathematical Society
Inbunden, 1996
1991 kr
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Mathematics of Fractals
Av Masaya Yamaguti, etc. m. fl.
Inbunden, 1997
1991 kr
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This book aims at providing a handy explanation of the notions behind the self-similar sets called 'fractals' and 'chaotic dynamical systems'. The authors emphasize the beautiful relationship between fractal functions (such as Weierstrass') and chaotic dynamical systems; these …
Local Properties of Distributions of Stochastic Functionals
Av Yu A. Davydov, M.A. Lifshits m. fl.
Inbunden, 1998
1991 kr
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This book investigates the distributions of functionals defined on the sample paths of stochastic processes. It contains systematic exposition and applications of three general research methods developed by the authors. The method of stratifications is used to study the problem of absolute …
Analytic Functionals on the Sphere
Inbunden, 1998
1991 kr
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This book treats spherical harmonic expansion of real analytic functions and hyper functions on the sphere. Because a one-dimensional sphere is a circle, the simplest example of the theory is that of Fourier series of periodic functions. The author first introduces a system of complex neighborhoods …
Linear and Nonlinear Perturbations of the Operator Div
Inbunden, 1997
1991 kr
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The perturbation theory for the operator div is of particular interest in the study of boundary-value problems for the general nonlinear equation $F(\dot y,y,x)=0$. Taking as linearization the first order operator $Lu=C_{ij}u_{x_j}^i+C_iu^i$, one can, under certain conditions, regard the operator …
Ordinary Differential Equations with Constant Coefficient
Av American Mathematical Society
Inbunden, 1997
1991 kr
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This book presents the theory of ordinary differential equations with constant coefficients. The exposition is based on ideas developing the Gelfand-Shilov theorem on the polynomial representation of a matrix exponential. Boundary value problems for ordinary equations, Green matrices, Green …
Function Theory in Several Complex Variables
Av American Mathematical Society
Inbunden, 2001
1991 kr
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'Kiyoshi Oka, at the beginning of his research, regarded the collection of problems which he encountered in the study of domains of holomorphy as large mountains which separate today and tomorrow. Thus, he believed that there could be no essential progress in analysis without climbing over these …
Second Order Equations of Elliptic and Parabolic Type
Av E.M. Landis
Inbunden, 1997
1991 kr
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Most books on elliptic and parabolic equations emphasize existence and uniqueness of solutions. By contrast, this book focuses on the qualitative properties of solutions. In addition to the discussion of classical results for equations with smooth coefficients (Schauder estimates and the …
Algebraic Geometry 1, Volume 1
From Algebraic Varieties to Schemes
Av American Mathematical Society
Häftad, 1999
640 kr
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This is the first of three volumes on algebraic geometry. The second volume, ""Algebraic Geometry 2: Sheaves and Cohomology"", is available from the AMS as Volume 197 in the ""Translations of Mathematical Monographs"" series. Early in the 20th century, algebraic geometry underwent a significant …
Number Theory 1
Fermat's Dream
Av Kazuya Kato, Nobushige Kurokawa m. fl.
Häftad, 1999
640 kr
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This is the English translation of the original Japanese book. In this volume, 'Fermat's Dream', core theories in modern number theory are introduced. Developments are given in elliptic curves, $p$-adic numbers, the $\zeta$-function, and the number fields. This work presents an elegant perspective …
Modern Aspects of Linear Algebra
Av S.K. Godunov
Inbunden, 1998
1991 kr
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This book discusses fundamental ideas of linear algebra. The author presents the spectral theory of nonselfadjoint matrix operators and matrix pencils in a finite dimensional Euclidean space. Statements of computational problems and brief descriptions of numerical algorithms, some of them …
Lectures on Entire Functions
Av B.Ya Levin
Häftad, 1996
1991 kr
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As a brilliant university lecturer, B. Ya. Levin attracted a large audience of working mathematicians and of students from various levels and backgrounds. For approximately 40 years, his Kharkov University seminar was a school for mathematicians working in analysis and a center for active research. …
Knots, Links, Braids and 3-manifolds
An Introduction to the New Invariants in Low-Dimensional Topology
Av V.V. Prasolov, A.B. Sossinsky
Häftad, 1996
1991 kr
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This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants. It emphasizes the geometric aspects of the theory and treats topics …
