V.I. Krylov's Books

Approximate Calculation of Integrals

By: V. I. Krylov

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Approximate Calculation of Integrals

By: V. I. Krylov

An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition.

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372

Publisher

Courier Corporation

Published Date

ISBN 10

048615467X

ISBN 13

9780486154671

Tables of Laguerre Polynomials and Functions

Mathematical Tables Series, Vol. 39

By: V.S. Aizenshtadt,V.I. Krylov,A.S. Metel'skii

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Tables of Laguerre Polynomials and Functions

Mathematical Tables Series, Vol. 39

By: V.S. Aizenshtadt,V.I. Krylov,A.S. Metel'skii

Tables of Laguerre Polynomials and Functions contains the values of Laguerre polynomials and Laguerre functions for n = 2 , 3 , . . . , 7 ; s = 0(0.1) 1; x = 0(0.1) 10(0.2) 30, and the zeroes and coefficients of the polynomials for n = 2 (1) 10 and s = 0(0.05) 1. The book also explains the Laguerre polynomials, their properties, Laguerre functions, and the tabulation of the Laguerre polynomials and functions. The book contains three tables: tables of values of Laguerre polynomials and functions, tables of the coefficients of the polynomials, and tables of their roots. The first table consists of six parts arranged successively in the ascending order of the degree n. Researchers have calculated the tables for a wider range of values of the parameters n, s and x (n = 2(1) 10, s = 0(0.05) 1, x = 0(0.1) 10(0.2) 30(0.5) 80) using computers at the Institute of Mathematics and Computer Technology of the Byelorussian Academy of Sciences and the Computer Centre of the Academy of Sciences of the U.S.S.R. Scientists and investigators at computer centers, research institutes, and engineering organizations will find the book highly valuable.

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169

Publisher

Elsevier

Published Date

ISBN 10

148322290X

ISBN 13

9781483222905

Partial Stability and Control

By: V.I. Vorotnikov

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Partial Stability and Control

By: V.I. Vorotnikov

Unlike the conventional research for the general theory of stability, this mono graph deals with problems on stability and stabilization of dynamic systems with respect not to all but just to a given part of the variables characterizing these systems. Such problems are often referred to as the problems of partial stability (stabilization). They naturally arise in applications either from the requirement of proper performance of a system or in assessing system capa bility. In addition, a lot of actual (or desired) phenomena can be formulated in terms of these problems and be analyzed with these problems taken as the basis. The following multiaspect phenomena and problems can be indicated: • "Lotka-Volterra ecological principle of extinction;" • focusing and acceleration of particles in electromagnetic fields; • "drift" of the gyroscope axis; • stabilization of a spacecraft by specially arranged relative motion of rotors connected to it. Also very effective is the approach to the problem of stability (stabilization) with respect to all the variables based on preliminary analysis of partial sta bility (stabilization). A. M. Lyapunov, the founder of the modern theory of stability, was the first to formulate the problem of partial stability. Later, works by V. V. Rumyan tsev drew the attention of many mathematicians and mechanicians around the world to this problem, which resulted in its being intensively worked out. The method of Lyapunov functions became the key investigative method which turned out to be very effective in analyzing both theoretic and applied problems.

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442

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461241502

ISBN 13

9781461241508

Linear Algebra and Group Theory

By: V. I. Smirnov,Richard A. Silverman

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Linear Algebra and Group Theory

By: V. I. Smirnov,Richard A. Silverman

Derived from an encyclopedic six-volume survey, this accessible text by a prominent Soviet mathematician offers a concrete approach, with an emphasis on applications. Containing material not otherwise available to English-language readers, the three-part treatment covers determinants and systems of equations, matrix theory, and group theory. Problem sets, with hints and answers, conclude each chapter. 1961 edition"--Provided by publisher.

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482

Publisher

Courier Corporation

Published Date

ISBN 10

0486482227

ISBN 13

9780486482224

Mathematical Understanding of Nature

Essays on Amazing Physical Phenomena and Their Understanding by Mathematicians

By: V. I. Arnold

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Mathematical Understanding of Nature

Essays on Amazing Physical Phenomena and Their Understanding by Mathematicians

By: V. I. Arnold

This collection of 39 short stories gives the reader a unique opportunity to take a look at the scientific philosophy of Vladimir Arnold, one of the most original contemporary researchers. Topics of the stories included range from astronomy, to mirages, to motion of glaciers, to geometry of mirrors and beyond. In each case Arnold's explanation is both deep and simple, which makes the book interesting and accessible to an extremely broad readership. Original illustrations hand drawn by the author help the reader to further understand and appreciate Arnold's view on the relationship between mathematics and science.

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184

Publisher

American Mathematical Society

Published Date

ISBN 10

1470417014

ISBN 13

9781470417017

Advanced Stress and Stability Analysis

Worked Examples

By: V.I. Feodosiev

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Advanced Stress and Stability Analysis

Worked Examples

By: V.I. Feodosiev

This book is a collection of problems for advanced students in the area of Strength of Materials. It draws the reader ́s attention also to problems that are often overlooked and answers questions that are far beyond a training course and require more fundamental understanding. All problems are provided with detailed solutions to enable the reader to either learn about the problem-solving process or just to check his/her own way of solution. The research and educational Work of V.I. Feodosiev was carried out in the Bauman Moscow State technical University where he held the course on Strength of Materials for 50 years. Deep insight into engineering problems, clearness of concepts and elegance of solutions accompanied by pedagogical talent are the main features of his style.

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436

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Springer Science & Business Media

Published Date

ISBN 10

3540239359

ISBN 13

9783540239352

Mathematical Foundations of Classical Statistical Mechanics

By: D.Ya. Petrina,V.I. Gerasimenko,P V Malyshev

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Mathematical Foundations of Classical Statistical Mechanics

By: D.Ya. Petrina,V.I. Gerasimenko,P V Malyshev

This monograph considers systems of infinite number of particles, in particular the justification of the procedure of thermodynamic limit transition. The authors discuss the equilibrium and non-equilibrium states of infinite classical statistical systems. Those states are defined in terms of stationary and nonstationary solutions to the Bogolyubov equations for the sequences of correlation functions in the thermodynamic limit. This is the first detailed investigation of the thermodynamic limit for non-equilibrium systems and of the states of infinite systems in the cases of both canonical and grand canonical ensembles, for which the thermodynamic equivalence is proved. A comprehensive survey of results is also included; it concerns the properties of correlation functions for infinite systems and the corresponding equations. For this new edition, the authors have made changes to reflect the development of theory in the last ten years. They have also simplified certain sections, presenting them more systematically, and greatly increased the number of references. The book is aimed at theoretical physicists and mathematicians and will also be of use to students and postgraduate students in the field.

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352

Publisher

CRC Press

Published Date

ISBN 10

0415273544

ISBN 13

9780415273541

Kinetic Models of Catalytic Reactions

By: G.S. Yablonskii,V.I. Bykov,V.I. Elokhin,A.N. Gorban

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Kinetic Models of Catalytic Reactions

By: G.S. Yablonskii,V.I. Bykov,V.I. Elokhin,A.N. Gorban

This book has been written by a group of mathematicians and chemists whose common interest is in the complex dynamics of catalytic reactions. Based on developments in mathematical chemistry, a general theory is described that allows the investigation of the relationships between the kinetic characteristics of complex reactions and their detailed reaction mechanism. Furthermore, a comprehensive analysis is made of some typical mechanism of catalytic reactions, in particular for the oxidation of carbon monoxide on platinum metals. In fact, the book presents three kinetics: (a) detailed, oriented to the elucidation of a detailed reaction mechanism according to its kinetic laws; (b) applied, with the aim of obtaining kinetic relationships for the further design of chemical reactors; and (c) mathematical kinetics whose purpose is the analysis of mathematical models for heterogeneous catalytic reactions taking place under steady- or unsteady-state conditions.

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391

Publisher

Elsevier

Published Date

ISBN 10

0080868266

ISBN 13

9780080868264

Lenin 2017

Remembering, Repeating, and Working Through

By: V. I. Lenin,Slavoj Zizek

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Lenin 2017

Remembering, Repeating, and Working Through

By: V. I. Lenin,Slavoj Zizek

One hundred years after the Russian Revolution, Žižek shows why Lenin’s thought is still important today V. I. Lenin’s originality and importance as a revolutionary leader is most often associated with the seizure of power in 1917. But, in this new study and collection of Lenin’s original texts, Slavoj Žižek argues that his true greatness can be better grasped in the last two years of his political life. Russia had survived foreign invasion, embargo and a terrifying civil war, as well as internal revolts such as the one at Kronstadt in 1921. But the new state was exhausted, isolated and disorientated. As the anticipated world revolution receded into the distance, new paths had to be charted if the Soviet state was to survive. With his characteristic brio and provocative insight, Žižek suggests that Lenin’s courage as a thinker can be found in his willingness to face this reality of retreat unflinchingly. In today’s world, characterized by political turbulence, economic crises and geopolitical tensions, we should revisit Lenin’s combination of sober lucidity and revolutionary determination.

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269

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Verso Books

Published Date

ISBN 10

178663189X

ISBN 13

9781786631893

DNA Liquid-Crystalline Dispersions and Nanoconstructions

By: Yuri M. Yevdokimov,V.I. Salyanov,S.V. Semenov,S.G. Skuridin

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DNA Liquid-Crystalline Dispersions and Nanoconstructions

By: Yuri M. Yevdokimov,V.I. Salyanov,S.V. Semenov,S.G. Skuridin

The discovery of the spatial structure of the double-stranded DNA molecule is one of the greatest achievements of science. It would not be an exaggeration to say that the DNA double helix is a distinguished symbol of modern biology. Divided into three parts, DNA Liquid-Crystalline Dispersions and Nanoconstructions covers the information presently a

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298

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CRC Press

Published Date

ISBN 10

1439871485

ISBN 13

9781439871485

Dynamics of Tethered Space Systems

By: Hans Troger,A.P. Alpatov,V.V. Beletsky,V.I. Dranovskii,V.S. Khoroshilov,A.V. Pirozhenko,A.E. Zakrzhevskii

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Dynamics of Tethered Space Systems

By: Hans Troger,A.P. Alpatov,V.V. Beletsky,V.I. Dranovskii,V.S. Khoroshilov,A.V. Pirozhenko,A.E. Zakrzhevskii

During many of the earliest American and Russian space missions, experiments were performed using cables to connect people and objects to spacecraft in orbit. These attempts generated considerable information about the formation of tethered systems and basic problems with tether orientation and gravity-gradient stabilization. During the 1970s, inte

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247

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CRC Press

Published Date

ISBN 10

1439836868

ISBN 13

9781439836866

Collected Works, Volume 1

By: V. I. Lenin

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Collected Works, Volume 1

By: V. I. Lenin

Re-launch of the Collected Works of the legendary revolutionary in paperback Among the most influential political and social forces of the twentieth century, modern communism rests firmly on philosophical, political, and economic underpinnings developed by Vladimir Ilyich Ulyanov, later known as Lenin. For anyone who seeks to understand the twentieth century, capitalism, the Russian Revolution, and the role of Communism in the tumultuous political and social movements that have shaped the modern world, the works of Lenin offer unparalleled insight and understanding. Taken together, they represent a balanced cross-section of his revolutionary theories of history, politics, and economics; his tactics for securing and retaining power; and his vision of a new social and economic order. This first volume contains four works (“New Economic Developments in Peasant Life,” “On the So-Called Market Question,” “What the ‘Friends of the People’ Are and How They Fight the Social-Democrats,” “The Economic Content of Narodism and the Criticism of It in Mr. Struve’s Book”) written by Lenin in 1893–1894, at the outset of his revolutionary activity, during the first years of the struggle to establish a workers’ revolutionary party in Russia.

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545

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Verso Books

Published Date

ISBN 10

1786634872

ISBN 13

9781786634870

A Course of Higher Mathematics

Adiwes International Series in Mathematics, Volume 4

By: V. I. Smirnov

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A Course of Higher Mathematics

Adiwes International Series in Mathematics, Volume 4

By: V. I. Smirnov

A Course of Higher Mathematics, Volume IV provides information pertinent to the theory of the differential equations of mathematical physics. This book discusses the application of mathematics to the analysis and elucidation of physical problems. Organized into four chapters, this volume begins with an overview of the theory of integral equations and of the calculus of variations which together play a significant role in the discussion of the boundary value problems of mathematical physics. This text then examines the basic theory of partial differential equations and of systems of equations in which characteristics play a key role. Other chapters consider the theory of first order equations. This book discusses as well some concrete problems that indicate the aims and ideas of the calculus of variations. The final chapter deals with the boundary value problems of mathematical physics. This book is a valuable resource for mathematicians and readers who are embarking on the study of functional analysis.

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826

Publisher

Elsevier

Published Date

ISBN 10

148319471X

ISBN 13

9781483194714

Lectures in Synergetics

By: V. I. Sugakov,Igor Goliney

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Lectures in Synergetics

By: V. I. Sugakov,Igor Goliney

The world that surrounds us is a complex system of interacting objects. The versatility of the links and interactions brings about the infinite multiplicity of natural phenomena. ?Synergetics? studies nonlinear nonequilibrium processes and self-organization phenomena, allowing for description, systematization and generalization of the phenomena that are described by the different branches of natural science: physics, chemistry, biology, as well as sociology and economics. This book introduces the reader to the exciting world of the nonlinear phenomena that are studied in synergetics. The book comprises treatises on mathematical methods for the study of nonequilibrium processes and presents versatile phenomena studied in synergetics: multistability, self-oscillation, spatial stratification, autowaves, kinetic phase transitions and chaos. Examples of self-organization in physics, chemistry, biology covered in this volume include laser generation, optical bistability, self-oscillations in semiconductors and chemical reactions, spatial stratification in hydrodynamics and in crystals, auto-waves in semiconductors and nerve fibers and many other phenomena. The majority of the phenomena considered occur in physics but the book is also useful for chemists and biologists.

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222

Publisher

World Scientific

Published Date

ISBN 10

9810234953

ISBN 13

9789810234959

Dynamical Systems V

Bifurcation Theory and Catastrophe Theory

By: V.I. Arnold,V.S. Afrajmovich,Yu.S. Il'yashenko,L.P. Shil'nikov

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Dynamical Systems V

Bifurcation Theory and Catastrophe Theory

By: V.I. Arnold,V.S. Afrajmovich,Yu.S. Il'yashenko,L.P. Shil'nikov

Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.

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279

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642578845

ISBN 13

9783642578847

Vibration of Strongly Nonlinear Discontinuous Systems

By: V.I. Babitsky,V.L. Krupenin

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Vibration of Strongly Nonlinear Discontinuous Systems

By: V.I. Babitsky,V.L. Krupenin

This monograph addresses the systematic representation of the methods of analysis developed by the authors as applied to such systems. Particular features of dynamic processes in such systems are studied. Special attention is given to an analysis of different resonant phenomena taking unusual and diverse forms.

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415

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540444882

ISBN 13

9783540444886

Ultrasonic Processes and Machines

Dynamics, Control and Applications

By: V.K. Astashev,V. I. Babitsky

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Ultrasonic Processes and Machines

Dynamics, Control and Applications

By: V.K. Astashev,V. I. Babitsky

This work is the first and only book on the fundamentals of ultrasonic machining. It presents the foundations of dynamic and control for ultrasonic processing systems and considers ultrasonic systems as special vibratory machines that function by exploiting nonlinear dynamic processes. Recommendations are given for designing and tuning ultrasonic machines. The ultrasonic machines analyzed are predominantly concerned with the processing of solids.

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340

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Springer Science & Business Media

Published Date

ISBN 10

3540720618

ISBN 13

9783540720614

Mathematical Aspects of Classical and Celestial Mechanics

By: V.I. Arnold,Victor V. Kozlov,A.I. Neishtadt

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Mathematical Aspects of Classical and Celestial Mechanics

By: V.I. Arnold,Victor V. Kozlov,A.I. Neishtadt

From the reviews: "... As an encyclopaedia article, this book does not seek to serve as a textbook, nor to replace the original articles whose results it describes. The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising. ... The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview. ..." American Mathematical Monthly, Nov. 1989 "This is a book to curl up with in front of a fire on a cold winter's evening. ..." SIAM Reviews, Sept. 1989

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305

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Springer Science & Business Media

Published Date

ISBN 10

3642612377

ISBN 13

9783642612374

Collected Works, Volume 2

By: V. I. Lenin

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Collected Works, Volume 2

By: V. I. Lenin

Re-launch of the Collected Works of the legendary revolutionary in paperback Among the most influential political and social forces of the twentieth century, modern communism rests firmly on philosophical, political, and economic underpinnings developed by Vladimir Ilyich Ulyanov, later known as Lenin. For anyone who seeks to understand the twentieth century, capitalism, the Russian Revolution, and the role of Communism in the tumultuous political and social movements that have shaped the modern world, the works of Lenin offer unparalleled insight and understanding. Taken together, they represent a balanced cross-section of his revolutionary theories of history, politics, and economics; his tactics for securing and retaining power; and his vision of a new social and economic order This second volume contains Lenin’s works from 1895 to 1897. Included are Lenin’s early economic and political writings, as well as his prescriptions for the program and strategy of Russian Marxism.

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Page Count

573

Publisher

Verso Books

Published Date

ISBN 10

178663631X

ISBN 13

9781786636317

Fibre Science and Technology

By: V.I. Kostikov

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Fibre Science and Technology

By: V.I. Kostikov

Fibre Science and Technology is one of six titles in a coherent and definitive series of volumes dedicated to advanced composite materials research, development and usage in the former Soviet Union. Much of the information presented has been classified until recently. Thus each volume provides a unique insight into hitherto unknown research and development data. This volume deals with the basic components of a composite material, namely the reinforcement and the encasing matrix material. Beginning with a specification of a range of reinforcing fibres (glass, carbon, organic, inorganic, ceramic), the book then considers in detail the development of such fibres and the significant range of properties achieved. An extensive test methodology used to evaluate the physical and mechanical properties of each type of fibre matrix combination is presented, and the production method employed for each constituent part is described. This book will be of interest to anyone involved in research or development in composite materials science and technology, both in industry and universities.

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720

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Springer Science & Business Media

Published Date

ISBN 10

0412584409

ISBN 13

9780412584404

Guaranteed Accuracy in Numerical Linear Algebra

By: S.K. Godunov,A.G. Antonov,O.P. Kiriljuk,V.I. Kostin

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Guaranteed Accuracy in Numerical Linear Algebra

By: S.K. Godunov,A.G. Antonov,O.P. Kiriljuk,V.I. Kostin

There exists a vast literature on numerical methods of linear algebra. In our bibliography list, which is by far not complete, we included some monographs on the subject [46], [15], [32], [39], [11], [21]. The present book is devoted to the theory of algorithms for a single problem of linear algebra, namely, for the problem of solving systems of linear equations with non-full-rank matrix of coefficients. The solution of this problem splits into many steps, the detailed discussion of which are interest ing problems on their own (bidiagonalization of matrices, computation of singular values and eigenvalues, procedures of deflation of singular values, etc. ). Moreover, the theory of algorithms for solutions of the symmetric eigenvalues problem is closely related to the theory of solv ing linear systems (Householder's algorithms of bidiagonalization and tridiagonalization, eigenvalues and singular values, etc. ). It should be stressed that in this book we discuss algorithms which to computer programs having the virtue that the accuracy of com lead putations is guaranteed. As far as the final program product is con cerned, this means that the user always finds an unambiguous solution of his problem. This solution might be of two kinds: 1. Solution of the problem with an estimate of errors, where abso lutely all errors of input data and machine round-offs are taken into account. 2.

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545

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Springer Science & Business Media

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ISBN 10

940111952X

ISBN 13

9789401119528

X-Ray and Electron-Diffraction Study of Langmuir-Blodgett Films

By: L. A. Feigin,Yu. M. Lvov,V. I. Troitsky

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X-Ray and Electron-Diffraction Study of Langmuir-Blodgett Films

By: L. A. Feigin,Yu. M. Lvov,V. I. Troitsky

Discusses the advances in methods of research into the structure of Langmuir-Blodgett multilayers and films with the predetermined alternation of molecular layers. Also included are the structural analysis of films on substrates, the diffraction effects associated with very thin films and news on the latest method of determining the packing of molecules in monomolecular layers.

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Page Count

108

Publisher

CRC Press

Published Date

ISBN 10

3718649055

ISBN 13

9783718649051

Excitons Bound to Impurities of 3d Elements in II-VI Compounds

Physics Reviews

By: V. I. Sokolov,K. A. Kikoin

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Excitons Bound to Impurities of 3d Elements in II-VI Compounds

Physics Reviews

By: V. I. Sokolov,K. A. Kikoin

Presents experimental and theoretical papers on the spectroscopy of excitons bound to isoelectronic impurities of the iron group transition metals. Particular attention is paid to the study of bound excitons by means of optical modulation methods especially the electroabsorption method.

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Page Count

152

Publisher

Routledge

Published Date

ISBN 10

3718649314

ISBN 13

9783718649310

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