Vladimir Sadovskii's Books

Mathematical Modeling in Mechanics of Granular Materials

By: Oxana Sadovskaya,Vladimir Sadovskii

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Mathematical Modeling in Mechanics of Granular Materials

By: Oxana Sadovskaya,Vladimir Sadovskii

This monograph contains original results in the field of mathematical and numerical modeling of mechanical behavior of granular materials and materials with different strengths. It proposes new models helping to define zones of the strain localization. The book shows how to analyze processes of the propagation of elastic and elastic-plastic waves in loosened materials, and constructs models of mixed type, describing the flow of granular materials in the presence of quasi-static deformation zones. In a last part, the book studies a numerical realization of the models on multiprocessor computer systems. The book is intended for scientific researchers, lecturers of universities, post-graduates and senior students, who specialize in the field of the deformable materials mechanics, mathematical modeling and adjacent fields of applied and calculus mathematics.

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396

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642290531

ISBN 13

9783642290534

Advanced Functional Analysis

By: Eberhard Malkowsky,Vladimir Rakočević

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Advanced Functional Analysis

By: Eberhard Malkowsky,Vladimir Rakočević

Functional analysis and operator theory are widely used in the description, understanding and control of dynamical systems and natural processes in physics, chemistry, medicine and the engineering sciences. Advanced Functional Analysis is a self-contained and comprehensive reference for advanced functional analysis and can serve as a guide for related research. The book can be used as a textbook in advanced functional analysis, which is a modern and important field in mathematics, for graduate and postgraduate courses and seminars at universities. At the same time, it enables the interested readers to do their own research. Features Written in a concise and fluent style Covers a broad range of topics Includes related topics from research

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Page Count

446

Publisher

CRC Press

Published Date

ISBN 10

0429809557

ISBN 13

9780429809552

Superconducting State

Mechanisms and Materials

By: Vladimir Kresin,Sergei Ovchinnikov,Stuart Wolf

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Superconducting State

Mechanisms and Materials

By: Vladimir Kresin,Sergei Ovchinnikov,Stuart Wolf

This book provides the reader with a detailed theoretical treatment of the key mechanisms of superconductivity, up to the current state of the art (phonons, magnons, plasmons). In addition, the book describes the properties of key superconducting compounds that are of most interest for science and its applications today. For many years there has been a search for new materials with higher values of the main parameters, such as the critical temperature and the critical current. At present, the possibility to observe superconductivity at room temperature has become perfectly realistic. The book is especially concerned with high Tc systems, such as the high Tc oxides, hydrides with record values of the critical temperature under high pressure, nanoclusters, etc. A number of interesting novel superconducting systems have been discovered recently. Among them: topological materials, interface systems, intercalated graphene. The book contains rigorous derivations, based on statistical mechanics and many-body theory. The book is also providing qualitative explanations of the main concepts and results, which makes it accessible and interesting for a broader readership.

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Page Count

512

Publisher

Oxford University Press

Published Date

ISBN 10

0198845332

ISBN 13

9780198845331

Asymptotic Theory of Separated Flows

By: Vladimir V. Sychev

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Asymptotic Theory of Separated Flows

By: Vladimir V. Sychev

Boundary-layer separation from a rigid body surface is one of the fundamental problems of classical and modern fluid dynamics. The major successes achieved since the late 1960s in the development of the theory of separated flows at high Reynolds numbers are in many ways associated with the use of asymptotic methods. The most fruitful of these has proved to be the method of matched asymptotic expansions, which has been widely used in mechanics and mathematical physics. There have been many papers devoted to different problems in the asymptotic theory of separated flows and we can confidently speak of the appearance of a very productive direction in the development of theoretical hydrodynamics. This book will present this theory in a systematic account. The book will serve as a useful introduction to the theory, and will draw attention to the possibilities that application of the asymptotic approach provides.

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348

Publisher

Cambridge University Press

Published Date

ISBN 10

0521455308

ISBN 13

9780521455305

Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras

By: Vladimir Müller

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Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras

By: Vladimir Müller

This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.

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Page Count

390

Publisher

Birkhäuser

Published Date

ISBN 10

3034877889

ISBN 13

9783034877886

Interior Structure of the Earth and Planets

By: Vladimir Naumovich Zharkov

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Interior Structure of the Earth and Planets

By: Vladimir Naumovich Zharkov

This text provides a solid introduction to advanced geophysics. Part I focuses on the interior structure of the earth, featuring a large section on plate tectonics and discussing such problems as the source mechanisms of earthquakes, tides, the rheology of the crust and mantle and the evolution of the lunar orbit. Part II focuses on the interior structure of the moon, the giant planets and the structure of the Galilean satellites of Jupiter and Titan and the icy satellites of Saturn.

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Page Count

638

Publisher

CRC Press

Published Date

ISBN 10

3718600676

ISBN 13

9783718600670

Stories about Maxima and Minima

By: Vladimir Mikhaĭlovich Tikhomirov

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Stories about Maxima and Minima

By: Vladimir Mikhaĭlovich Tikhomirov

Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. Many beautiful and important problems have appeared in a variety of branches of mathematics and physics, as well as in other fields of sciences. The greatest scientists of the past - Euclid, Archimedes, Heron, the Bernoullis, Newton and many others - took part in seeking solutions to these concrete problems. The solutions stimulated the development of the theory, and, as a result, techniques were elaborated that made possible the solution of a tremendous variety of problems by a single method. This book, copublished with the Mathematical Association of America (MAA), presents fifteen "stories" designed to acquaint readers with the central concepts of the theory of maxima and minima, as well as with its illustrious history. Unlike most AMS publications, the book is accessible to high school students and would likely be of interest to a wide variety of readers. In Part One, the author familiarizes readers with many concrete problems that lead to discussion of the work of some of the greatest mathematicians of all time. Part Two introduces a method for solving maximum and minimum problems that originated with Lagrange. While the content of this method has varied constantly, its basic conception has endured for over two centuries. The final story is addressed primarily to those who teach mathematics, for it impinges on the question of how and why to teach. Throughout the book, the author strives to show how the analysis of diverse facts gives rise to a general idea, how this idea is transformed, how it is enriched by new content, and how to remains the same in spite of these changes.

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Page Count

201

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821801651

ISBN 13

9780821801659

Electronic Structure of Strongly Correlated Materials

By: Vladimir Anisimov,Yuri Izyumov

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Electronic Structure of Strongly Correlated Materials

By: Vladimir Anisimov,Yuri Izyumov

Electronic structure and physical properties of strongly correlated materials containing elements with partially filled 3d, 4d, 4f and 5f electronic shells is analyzed by Dynamical Mean-Field Theory (DMFT). DMFT is the most universal and effective tool used for the theoretical investigation of electronic states with strong correlation effects. In the present book the basics of the method are given and its application to various material classes is shown. The book is aimed at a broad readership: theoretical physicists and experimentalists studying strongly correlated systems. It also serves as a handbook for students and all those who want to be acquainted with fast developing filed of condensed matter physics.

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298

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642048269

ISBN 13

9783642048265

Novel Superconductivity

By: Stuart A. Wolf,Vladimir Z. Kresin

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Novel Superconductivity

By: Stuart A. Wolf,Vladimir Z. Kresin

The Novel Mechanisms of Superconductivity Conference was initially conceived in the early part of 1986 as a small, 2-1/2 day workshop of 40-70 scientists, both theorists and experimentalists interested in exploring the possible evidence for exotic, non phononic superconductivity. Of course, the historic discoveries of high temperature oxide superconductors by Bednorz and Mftller and the subsequent enhancements by the Houston/Alabama groups made such a small conference impractical. The conference necessarily had to expand, 2-1/2 days became 4-1/2 days and superconductivity in the high Tc oxides became the largest single topic in the workshop. In fact, this conference became the first major conference on this topic and thus, these proceedings are also the first maj or publication. However, heavy fermion, organic and low carrier concentration superconductors remained a very important part of this workshop and articles by the leaders in these fields are included in these proceedings. Ultimately the workshop hosted rearly 400 scientists, students and media including representatives from the maj or research groups in the U.S., Europe, Japan and the Soviet Union.

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1086

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461319374

ISBN 13

9781461319375

Structural Modeling of Metamaterials

By: Vladimir I. Erofeev,Igor S. Pavlov

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Structural Modeling of Metamaterials

By: Vladimir I. Erofeev,Igor S. Pavlov

This book discusses the theoretical foundations of the structural modeling method applied to metamaterials. This method takes into account the parameters of the crystal lattice, the size of the medium particles, as well as their shape and constants of force interactions between them. It provides mathematical models of metamaterials that offer insights into the qualitative influence of the local structure on the effective elastic moduli of the considered medium and into performing theoretical estimations of these quantities. This book is useful for researchers working in the fields of solid mechanics, physical acoustics, and condensed matter physics, as well as for graduate and postgraduate students studying mathematical modeling methods.

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222

Publisher

Springer Nature

Published Date

ISBN 10

303060330X

ISBN 13

9783030603304

Unified Field Theories

in the first third of the 20th century

By: Vladimir P. Vizgin

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Unified Field Theories

in the first third of the 20th century

By: Vladimir P. Vizgin

Despite the rapidly expanding ambit of physical research and the continual appearance of new branches of physics, the main thrust in its development was and is the attempt at a theoretical synthesis of the entire body of physical knowledge. The main triumphs in physical science were, as a rule, associ ated with the various phases of this synthesis. The most radical expression of this tendency is the program of construction of a unified physical theory. After Maxwellian electrodynamics had unified the phenomena of electricity, magnetism, and optics in a single theoretical scheme on the basis of the con cept of the electromagnetic field, the hope arose that the field concept would become the precise foundation of a new unified theory of the physical world. The limitations of an electromagnetic-field conception of physics, however, already had become clear in the first decade of the 20th century. The concept of a classical field was developed significantly in the general theory of relativity, which arose in the elaboration of a relativistic theory of gravitation. It was found that the gravitational field possesses, in addition to the properties inherent in the electromagnetic field, the important feature that it expresses the metric structure of the space-time continuum. This resulted in the following generalization of the program of a field synthesis of physics: The unified field representing gravitation and electromagnetism must also describe the geometry of space-time.

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353

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3034801742

ISBN 13

9783034801744

The Bolsheviks in Russian Society

The Revolution and the Civil Wars

By: Vladimir Brovkin

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The Bolsheviks in Russian Society

The Revolution and the Civil Wars

By: Vladimir Brovkin

Was the Bolshevik success in Russia during the revolution and civil war years a legitimate expression of the will of the people? Or did Russian workers, peasants, bourgeoisie, and upper-class groups pose numerous challenges to Bolshevik authority, challenges that were put down through unyielding repression? In this book distinguished scholars from East and West draw on recently opened archives to challenge the commonly held view that the Bolsheviks enjoyed widespread support and that their early history was simply a march toward inevitable victory. They show instead that during this period Russian society was at war with itself and with the Bolsheviks. Authors discuss such previously neglected subjects as government policies toward women and toward religious institutions, the protests of workers and peasants, and the anti-Bolshevik movements and parties. In particular, they investigate the actions of other political parties and White leaders, the peasant rebellions and workers' strikes, Bolshevik operations against the church, attitudes toward peasant and working-class women, and new data on Lenin (the last in a chapter by Richard Pipes). Describing not one civil war but several social, political, and military confrontations going on simultaneously, they portray a Russia in turmoil and an outcome that was by no means inevitable.

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356

Publisher

Yale University Press

Published Date

ISBN 10

0300146345

ISBN 13

9780300146349

Nonlinear Optics of Random Media

Fractal Composites and Metal-Dielectric Films

By: Vladimir M. Shalaev

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Nonlinear Optics of Random Media

Fractal Composites and Metal-Dielectric Films

By: Vladimir M. Shalaev

Nonlinear Optics of Random Media reviews recent advances in in one of the most prominent fields of physics. It provides an outline of the basic models of irregular structures of random inhomogeneous media and the approaches used to describe their linear electromagnetic properties. Nonlinearities in random media are also discussed. The chapters can be read independently, so scientists and students interested in a specific problem can go directly to the relevant text.

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159

Publisher

Springer

Published Date

ISBN 10

3540491848

ISBN 13

9783540491842

Phase Transitions in Solids Under High Pressure

By: Vladimir Davydovich Blank,Emmanuel Isakovich Estrin

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Phase Transitions in Solids Under High Pressure

By: Vladimir Davydovich Blank,Emmanuel Isakovich Estrin

The use of high-pressure techniques has become popular for studying the nature of substances and phenomena occurring in them, especially as a means of obtaining new materials (synthesis under high pressure) and processing known materials (hydroextrusion). A product of many years of research by the authors and their colleagues, Phase Transitions in

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451

Publisher

CRC Press

Published Date

ISBN 10

146659425X

ISBN 13

9781466594258

Operators Between Sequence Spaces and Applications

By: Bruno de Malafosse,Eberhard Malkowsky,Vladimir Rakočević

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Operators Between Sequence Spaces and Applications

By: Bruno de Malafosse,Eberhard Malkowsky,Vladimir Rakočević

This book presents modern methods in functional analysis and operator theory along with their applications in recent research. The book also deals with the solvability of infinite systems of linear equations in various sequence spaces. It uses the classical sequence spaces, generalized Cesaro and difference operators to obtain calculations and simplifications of complicated spaces involving these operators. In order to make it self-contained, comprehensive and of interest to a larger mathematical community, the authors have presented necessary concepts with results for advanced research topics. This book is intended for graduate and postgraduate students, teachers and researchers as a basis for further research, advanced lectures and seminars.

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Page Count

379

Publisher

Springer Nature

Published Date

ISBN 10

9811597421

ISBN 13

9789811597428

Tensile Fracturing in Rocks

Tectonofractographic and Electromagnetic Radiation Methods

By: Dov Bahat,Avinoam Rabinovitch,Vladimir Frid

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Tensile Fracturing in Rocks

Tectonofractographic and Electromagnetic Radiation Methods

By: Dov Bahat,Avinoam Rabinovitch,Vladimir Frid

‘Tensile Fracturing in Rocks’ presents field observations on fracturing of sedim- tary rocks and granite outcrops from various provinces in three continents. It also combines results of recent experiments conducted at different laboratories around the world with current theories on fracturing. In treating faults, this book limits itself to faults that are associated with joint sets produced by definable causes and occasi- ally to cases where interaction between the two types of fracture – faults and joints – is not clear. The book’s subject matter is divided over six chapters, which are briefly described below. Chapter 1 summarizes current key concepts in fracture physics. It starts with a pr- entation of the elastic theory of fracture, and concentrates on the results of linear el- tic fracture mechanics. The chapter touches also upon other fracture properties, e.g., crack nucleation, dynamic fracturing and slow fracturing processes. Nucleation is - dressed by statistical mechanics methods incorporating modern approaches of th- mal and fiber bundle processes. The analyses of dynamic fracturing and slow fract- ing focus on the differences, as compared to the linear elastic approach. The cont- versy in interpreting experimental dynamic results is highlighted, as are the surface morphology patterns that emerge in fracturing and the non-Griffith crack extension criterion in very slow fracturing processes.

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581

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540266143

ISBN 13

9783540266143

Real and Functional Analysis

By: Vladimir I. Bogachev,Oleg G. Smolyanov

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Real and Functional Analysis

By: Vladimir I. Bogachev,Oleg G. Smolyanov

This book is based on lectures given at "Mekhmat", the Department of Mechanics and Mathematics at Moscow State University, one of the top mathematical departments worldwide, with a rich tradition of teaching functional analysis. Featuring an advanced course on real and functional analysis, the book presents not only core material traditionally included in university courses of different levels, but also a survey of the most important results of a more subtle nature, which cannot be considered basic but which are useful for applications. Further, it includes several hundred exercises of varying difficulty with tips and references. The book is intended for graduate and PhD students studying real and functional analysis as well as mathematicians and physicists whose research is related to functional analysis.

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Page Count

602

Publisher

Springer Nature

Published Date

ISBN 10

3030382192

ISBN 13

9783030382193

Series in Banach Spaces

Conditional and Unconditional Convergence

By: Vladimir Kadets

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Series in Banach Spaces

Conditional and Unconditional Convergence

By: Vladimir Kadets

Series of scalars, vectors, or functions are among the fundamental objects of mathematical analysis. When the arrangement of the terms is fixed, investigating a series amounts to investigating the sequence of its partial sums. In this case the theory of series is a part of the theory of sequences, which deals with their convergence, asymptotic behavior, etc. The specific character of the theory of series manifests itself when one considers rearrangements (permutations) of the terms of a series, which brings combinatorial considerations into the problems studied. The phenomenon that a numerical series can change its sum when the order of its terms is changed is one of the most impressive facts encountered in a university analysis course. The present book is devoted precisely to this aspect of the theory of series whose terms are elements of Banach (as well as other topological linear) spaces. The exposition focuses on two complementary problems. The first is to char acterize those series in a given space that remain convergent (and have the same sum) for any rearrangement of their terms; such series are usually called uncon ditionally convergent. The second problem is, when a series converges only for certain rearrangements of its terms (in other words, converges conditionally), to describe its sum range, i.e., the set of sums of all its convergent rearrangements.

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Page Count

162

Publisher

Birkhäuser

Published Date

ISBN 10

3034891962

ISBN 13

9783034891967

Numerical Continuum Mechanics

By: Vladimir N. Kukudzhanov

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Numerical Continuum Mechanics

By: Vladimir N. Kukudzhanov

This work focuses on computational methods in continuum thermomechanics. The text is based on the author's lectures, which ensures a didactical and coherent buildup. The main emphasis is put on the presentation of ideas and qualitative considerations, illustrated by specific examples and applications. Conditions and explanations that are essential for the practical application of methods are discussed thoroughly.

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