Vladimir Tikhomirov's Books

Optimization

Insights and Applications

By: Jan Brinkhuis,Vladimir Tikhomirov

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Optimization

Insights and Applications

By: Jan Brinkhuis,Vladimir Tikhomirov

This self-contained textbook is an informal introduction to optimization through the use of numerous illustrations and applications. The focus is on analytically solving optimization problems with a finite number of continuous variables. In addition, the authors provide introductions to classical and modern numerical methods of optimization and to dynamic optimization. The book's overarching point is that most problems may be solved by the direct application of the theorems of Fermat, Lagrange, and Weierstrass. The authors show how the intuition for each of the theoretical results can be supported by simple geometric figures. They include numerous applications through the use of varied classical and practical problems. Even experts may find some of these applications truly surprising. A basic mathematical knowledge is sufficient to understand the topics covered in this book. More advanced readers, even experts, will be surprised to see how all main results can be grounded on the Fermat-Lagrange theorem. The book can be used for courses on continuous optimization, from introductory to advanced, for any field for which optimization is relevant.

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683

Publisher

Princeton University Press

Published Date

ISBN 10

1400829364

ISBN 13

9781400829361

Electromagnetic Processes at High Energies in Oriented Single Crystals

By: Vladimir Nikolaevich Ba?er,V. M. Katkov,Vladimir Moiseevich Strakhovenko

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Electromagnetic Processes at High Energies in Oriented Single Crystals

By: Vladimir Nikolaevich Ba?er,V. M. Katkov,Vladimir Moiseevich Strakhovenko

The book is devoted to processes at the interaction of high energy charged particles and photons with crystals. Among them are the creation of electron-positron pair by photon in crystalline field, the radiation of particles in this field and, connected with these effects, the new type of electromagnetic showers in crystals, the channeling of fast particles in crystal and channeling radiation. At high energies, the processes of quantum electrodynamics (QED) in intense external fields play an important role in crystals. The first third of the book contains a new formulation of QED in external fields which is valid for any external field, including an essentially nonuniform one and has vast applications.

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576

Publisher

World Scientific

Published Date

ISBN 10

9810216033

ISBN 13

9789810216030

High-energy Nuclear Optics Of Polarized Particles

By: Vladimir G Baryshevsky

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High-energy Nuclear Optics Of Polarized Particles

By: Vladimir G Baryshevsky

The various phenomena caused by refraction and diffraction of polarized elementary particles in matter have opened up a new research area in the particle physics: nuclear optics of polarized particles. Effects similar to the well-known optical phenomena such as birefringence and Faraday effects, exist also in particle physics, though the particle wavelength is much less than the distance between atoms of matter. Current knowledge of the quasi-optical effects, which exist for all particles in any wavelength range (and energies from low to extremely high), will enable us to investigate different properties of interacting particles (nuclei) in a new aspect.This pioneering book will provide detailed accounts of quasi-optical phenomena in the particle polarization, and will interest physicists and professionals in experimental particle physics.

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641

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World Scientific

Published Date

ISBN 10

9814462764

ISBN 13

9789814462761

Introduction to Business Law in Russia

By: Vladimir Orlov

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Introduction to Business Law in Russia

By: Vladimir Orlov

This volume provides a comprehensive overview of business law in Russia. It presents an introduction to the Russian legal system in general before going on to provide a thorough analysis of the key aspects such as regulation, taxation, competition, contracts, intellectual property law, among many others. Where appropriate, cases and international comparisons are included to help illustrate the practical workings of this complex system. The book will be an invaluable guide for students, researchers and practitioners who want a clear understanding of legislation relating to business in contemporary Russia.

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476

Publisher

Routledge

Published Date

ISBN 10

1317113284

ISBN 13

9781317113287

Quantum Chemistry of Organic Compounds

Mechanisms of Reactions

By: Vladimir I. Minkin,Boris Ya. Simkin,Ruslan M. Minyaev

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Quantum Chemistry of Organic Compounds

Mechanisms of Reactions

By: Vladimir I. Minkin,Boris Ya. Simkin,Ruslan M. Minyaev

Chemistry is the science of substances (today we would say molecules) and their transformations. Central to this science is the complexity of shape and function of its typical representatives. There lies, no longer dependent on its vitalistic antecedents, the rich realm of molecular possibility called organic chemistry. In this century we have learned how to determine the three-dimensional structure of molecules. Now chemistry as whole, and organic chemistry in particular, is poised to move to the exploration of its dynamic dimension, the busy business of transformations or reactions. Oh, it has been done all along, for what else is synthesis? What I mean is that the theoretical framework accom panying organic chemistry, long and fruitfully laboring on a quantum chemical understanding of structure, is now making the first tentative motions toward building an organic theory of reactivity. The Minkin, Simkin, Minyaev book takes us in that direction. It incorporates the lessons of frontier orbital theory and of Hartree-Fock SCF calculations; what chemical physicists have learned about trajectory calculations of selected reactions, and a simplified treatment of all-important solvent effects. It is written by professional, accomplished organic chemists for other organic chemists; it is consistently even-toned in its presentation of contending approaches. And very much up to date. That this contemporary work should emerge from a regional university in a country in which science has been highly centralized and organic chemistry not very modern, invites reflection.

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281

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642756794

ISBN 13

9783642756795

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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602

Publisher

Springer Nature

Published Date

ISBN 10

3030382192

ISBN 13

9783030382193

Literature 1982, Part 2

By: Siegfried Böhme,Professor Dr. Walter Fricke,Herbert Hefele,Inge Heinrich,Wilfried Hofmann,Dietlinde Krahn,Vladimir R. Matas,Dr. Lutz D. Schmadel,Gert Zech

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Literature 1982, Part 2

By: Siegfried Böhme,Professor Dr. Walter Fricke,Herbert Hefele,Inge Heinrich,Wilfried Hofmann,Dietlinde Krahn,Vladimir R. Matas,Dr. Lutz D. Schmadel,Gert Zech

Astronomy and Astrophysics Abstracts, which has appeared in semi-annual volumes since 1969, is devoted to the recording, summarizing and indexing of astronomical publications throughout the world. It is prepared under the auspices of the International Astronomical Union (according to a resolution adopted at the 14th General Assembly in 1970). Astronomy and Astrophysics Abstracts aims to present a comprehensive documenta tion of literature in all fields of astronomy and astrophysics. Every effort will be made to ensure that the average time interval between the date of receipt of the original literature and publication of the abstracts will not exceed eight months. This time interval is near to that achieved by monthly abstracting journals, compared to which our system of accumu lating abstracts for about six months offers the advantage of greater convenience for the user. Volume 32 contains literature published in 1982 and received before February 11, 1983; some older literature which was received late and which is not recorded in earlier volumes is also included. We acknowledge with thanks contributions to this volume by Dr. J. Bou~a, Prague, who surveyed journals and publications in Czech and supplied us with abstracts in English.

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857

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Springer Science & Business Media

Published Date

ISBN 10

3662123371

ISBN 13

9783662123379

Gettering Defects in Semiconductors

By: Victor A. Perevostchikov,Vladimir D. Skoupov

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Gettering Defects in Semiconductors

By: Victor A. Perevostchikov,Vladimir D. Skoupov

Gettering Defects in Semiconductors fulfills three basic purposes: – to systematize the experience and research in exploiting various gettering techniques in microelectronics and nanoelectronics; – to identify new directions in research, particularly to enhance the perspective of professionals and young researchers and specialists; – to fill a gap in the contemporary literature on the underlying semiconductor-material theory. The authors address not only well-established gettering techniques but also describe contemporary trends in gettering technologies from an international perspective. The types and properties of structural defects in semiconductors, their generating and their transforming mechanisms during fabrication are described. The primary emphasis is placed on classifying and describing specific gettering techniques, their specificity arising from both their position in a general technological process and the regimes of their application. This book addresses both engineers and material scientists interested in semiconducting materials theory and also undergraduate and graduate students in solid–state microelectronics and nanoelectronics. A comprehensive list of references provides readers with direction for further reading.

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412

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Springer Science & Business Media

Published Date

ISBN 10

354026244X

ISBN 13

9783540262442

Hierarchical Optimization and Mathematical Physics

By: Vladimir Tsurkov

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Hierarchical Optimization and Mathematical Physics

By: Vladimir Tsurkov

This book should be considered as an introduction to a special dass of hierarchical systems of optimal control, where subsystems are described by partial differential equations of various types. Optimization is carried out by means of a two-level scheme, where the center optimizes coordination for the upper level and subsystems find the optimal solutions for independent local problems. The main algorithm is a method of iterative aggregation. The coordinator solves the problern with macrovariables, whose number is less than the number of initial variables. This problern is often very simple. On the lower level, we have the usual optimal control problems of math ematical physics, which are far simpler than the initial statements. Thus, the decomposition (or reduction to problems ofless dimensions) is obtained. The algorithm constructs a sequence of so-called disaggregated solutions that are feasible for the main problern and converge to its optimal solutionunder certain assumptions ( e.g., under strict convexity of the input functions). Thus, we bridge the gap between two disciplines: optimization theory of large-scale systems and mathematical physics. The first motivation was a special model of branch planning, where the final product obeys a preset assortment relation. The ratio coefficient is maximized. Constraints are given in the form of linear inequalities with block diagonal structure of the part of a matrix that corresponds to subsystems. The central coordinator assem bles the final production from the components produced by the subsystems.

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320

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Springer Science & Business Media

Published Date

ISBN 10

1461546672

ISBN 13

9781461546672

Convex Analysis

Theory and Applications

By: Georgii G. Magaril-Ilʹyaev,Vladimir Mikhaĭlovich Tikhomirov

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Convex Analysis

Theory and Applications

By: Georgii G. Magaril-Ilʹyaev,Vladimir Mikhaĭlovich Tikhomirov

This book is an introduction to convex analysis and some of its applications. It starts with basis theory, which is explained within the framework of finite-dimensional spaces. The only prerequisites are basic analysis and simple geometry. The second chapter presents some applications of convex analysis, including problems of linear programming, geometry, and approximation. Special attention is paid to applications of convex analysis to Kolmogorov-type inequalities for derivatives of functions is one variable. Chapter 3 collects some results on geometry and convex analysis in infinite-dimensional spaces. A comprehensive introduction written "for beginners" illustrates the fundamentals of convex analysis in finite-dimensional spaces. The book can be used for an advanced undergraduate or graduate level course on convex analysis and its applications. It is also suitable for independent study of this extremely important area of mathematics.

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196

Publisher

American Mathematical Soc.

ISBN 10

0821889648

ISBN 13

9780821889640

Hilbert C*-modules

By: Vladimir Markovich Manuĭlov,Evgeniĭ Vadimovich Troit͡skiĭ

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Hilbert C*-modules

By: Vladimir Markovich Manuĭlov,Evgeniĭ Vadimovich Troit͡skiĭ

Based on lectures delivered by the authors at Moscow State University, this volume presents a detailed introduction to the theory of Hilbert $C*$-modules. Hilbert $C*$-modules provide a natural generalization of Hilbert spaces arising when the field of scalars $\mathbf{C $ is replaced by an arbitrary $C*$-algebra. The general theory of Hilbert $C*$-modules appeared more than 30 years ago in the pioneering papers of W. Paschke and M. Rieffel and has proved to be a powerful tool inoperator algebras theory, index theory of elliptic operators, $K$- and $KK$-theory, and in noncommutative geometry as a whole. Alongside these applications, the theory of Hilbert $C*$-modules is interesting on its own. In this book, the authors explain in detail the basic notions and results of thetheory, and provide a number of important examples. Some results related to the authors' research interests are also included. A large part of the book is devoted to structural results (self-duality, reflexivity) and to nonadjointable operators. Most of the book can be read with only a basic knowledge of functional analysis; however, some experience in the theory of operator algebras makes reading easier.

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216

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American Mathematical Soc.

ISBN 10

0821889664

ISBN 13

9780821889664

The Russian Intelligentsia

From Torment to Silence

By: Vladimir C. Nahirny

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The Russian Intelligentsia

From Torment to Silence

By: Vladimir C. Nahirny

Vladimir C. Nahirny's brilliant study of major issues in Russian social and intellectual history synthesizes historical and sociological perspectives in an analysis of the nineteenth century Russian intelligentsia. He clarifies the concept of the intelligentsia itself, analyzes findings bearing on the social origins of different generations of intelligentsia, and enlarges understanding of conditions that facilitated the emergence of ideological groups among them. The Russian Intelligentsia develops a conceptually focused view of this distinct social group, arguing that the Russian intelligentsia can best be understood on the basis of orientation to ideas rather than on social or occupational position. Rather than simply providing an intellectual history or biographical sketches of major figures, Nahirny illuminates these concepts through data, creating an immersive context unlike other discussions of these groups. This book was, and will be, of interest to those interested in the problematic and contradictory social-political roles of intellectuals during this time.

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220

Publisher

Transaction Publishers

ISBN 10

1412833590

ISBN 13

9781412833592

Minimax Under Transportation Constrains

By: Vladimir Tsurkov,A. Mironov

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Minimax Under Transportation Constrains

By: Vladimir Tsurkov,A. Mironov

Transportation problems belong to the domains mathematical program ming and operations research. Transportation models are widely applied in various fields. Numerous concrete problems (for example, assignment and distribution problems, maximum-flow problem, etc. ) are formulated as trans portation problems. Some efficient methods have been developed for solving transportation problems of various types. This monograph is devoted to transportation problems with minimax cri teria. The classical (linear) transportation problem was posed several decades ago. In this problem, supply and demand points are given, and it is required to minimize the transportation cost. This statement paved the way for numerous extensions and generalizations. In contrast to the original statement of the problem, we consider a min imax rather than a minimum criterion. In particular, a matrix with the minimal largest element is sought in the class of nonnegative matrices with given sums of row and column elements. In this case, the idea behind the minimax criterion can be interpreted as follows. Suppose that the shipment time from a supply point to a demand point is proportional to the amount to be shipped. Then, the minimax is the minimal time required to transport the total amount. It is a common situation that the decision maker does not know the tariff coefficients. In other situations, they do not have any meaning at all, and neither do nonlinear tariff objective functions. In such cases, the minimax interpretation leads to an effective solution.

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321

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Springer Science & Business Media

Published Date

ISBN 10

1461540607

ISBN 13

9781461540601

The Global Emerging Market

Strategic Management and Economics

By: Vladimir Kvint

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The Global Emerging Market

Strategic Management and Economics

By: Vladimir Kvint

Despite the growing importance of the global emerging market (GEM) for the world’s business, economies, and politics, it has received a relatively scant amount of academic attention in business and economics courses. This textbook is the first to focus on the GEM and its strategic and economic characteristics. The Global Emerging Market: Strategic Management and Economics describes the fundamental economic base and trends of the global marketplace (GMP) as well as business and management development for the conditions of emerging-market countries (EMCs). Focusing on the formation of a strategic mindset and the decision making process, it explains how to analyze the basic economic factors and the global order, especially in times of crisis. This text also explains how to classify countries related to this new market of tremendous opportunities. Furthermore, the book includes recommendations on how to develop entry and exit strategies for the GEM, work in it and create efficient management systems. Features include: Extensive tables, charts, and graphs illustrating the strategic considerations of the GMP and the GEM End-of-chapter study questions Practical examples based on the author’s involvement in the development of the GEM, from both sides of the international transactions This academic book is the ideal guide for current business leaders and students on how to make strategic, symmetric, and asymmetric time-sensitive decisions related to the GEM.

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488

Publisher

Routledge

Published Date

ISBN 10

1135859973

ISBN 13

9781135859978

The IMO Compendium

A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2009 Second Edition

By: Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović

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The IMO Compendium

A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2009 Second Edition

By: Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović

The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world. Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off.

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819

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441998543

ISBN 13

9781441998545

Modeling of Curves and Surfaces with MATLAB®

By: Vladimir Rovenski

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Modeling of Curves and Surfaces with MATLAB®

By: Vladimir Rovenski

This text on geometry is devoted to various central geometrical topics including: graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces as well as their applications in a variety of disciplines. This book presents elementary methods for analytical modeling and demonstrates the potential for symbolic computational tools to support the development of analytical solutions. The author systematically examines several powerful tools of MATLAB® including 2D and 3D animation of geometric images with shadows and colors and transformations using matrices. With over 150 stimulating exercises and problems, this text integrates traditional differential and non-Euclidean geometries with more current computer systems in a practical and user-friendly format. This text is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines.

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463

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387712771

ISBN 13

9780387712772

Stabilization Problems with Constraints

Analysis and Computational Aspects

By: Vladimir A Bushenkov

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Stabilization Problems with Constraints

Analysis and Computational Aspects

By: Vladimir A Bushenkov

Presents and demonstrates stabilizer design techniques that can be used to solve stabilization problems with constraints. These methods have their origins in convex programming and stability theory. However, to provide a practical capability in stabilizer design, the methods are tailored to the special features and needs of this field. Hence, the main emphasis of this book is on the methods of stabilization, rather than optimization and stability theory. The text is divided into three parts. Part I contains some background material. Part II is devoted to behavior of control systems, taking examples from mechanics to illustrate the theory. Finally, Part III deals with nonlocal stabilization problems, including a study of the global stabilization problem.

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303

Publisher

CRC Press

Published Date

ISBN 10

1000657469

ISBN 13

9781000657463

Algorithms for Games

By: Georgy M. Adelson-Velsky,Vladimir L. Arlazarov,M.V. Donskoy

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Algorithms for Games

By: Georgy M. Adelson-Velsky,Vladimir L. Arlazarov,M.V. Donskoy

Algorithms for Games aims to provide a concrete example of the programming of a two-person game with complete information, and to demonstrate some of the methods of solutions; to show the reader that it is profitable not to fear a search, but rather to undertake it in a rational fashion, make a proper estimate of the dimensions of the "catastrophe", and use all suitable means to keep it down to a reasonable size. The book is dedicated to the study of methods for limiting the extent of a search. The game programming problem is very well suited to the study of the search problem, and in general for multi-step solution processes. With this in mind, the book focuses on the programming of games as the best means of developing the ideas and methods presented. While many of the examples are related to chess, only an elementary knowledge of the game is needed.

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207

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Springer Science & Business Media

Published Date

ISBN 10

1461237963

ISBN 13

9781461237969

Foundations of Colour Science

From Colorimetry to Perception

By: Alexander D. Logvinenko,Vladimir L. Levin

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Foundations of Colour Science

From Colorimetry to Perception

By: Alexander D. Logvinenko,Vladimir L. Levin

Presents the science of colour from new perspectives and outlines results obtained from the authors’ work in the mathematical theory of colour This innovative volume summarizes existing knowledge in the field, attempting to present as much data as possible about colour, accumulated in various branches of science (physics, phychophysics, colorimetry, physiology) from a unified theoretical position. Written by a colour specialist and a professional mathematician, the book offers a new theoretical framework based on functional analysis and convex analysis. Employing these branches of mathematics, instead of more conventional linear algebra, allows them to provide the knowledge required for developing techniques to measure colour appearance to the standards adopted in colorimetric measurements. The authors describe the mathematics in a language that is understandable for colour specialists and include a detailed overview of all chapters to help readers not familiar with colour science. Divided into two parts, the book first covers various key aspects of light colour, such as colour stimulus space, colour mechanisms, colour detection and discrimination, light-colour perception typology, and light metamerism. The second part focuses on object colour, featuring detailed coverage of object-colour perception in single- and multiple-illuminant scenes, object-colour solid, colour constancy, metamer mismatching, object-colour indeterminacy and more. Throughout the book, the authors combine differential geometry and topology with the scientific principles on which colour measurement and specification are currently based and applied in industrial applications. Presents a unique compilation of the author’s substantial contributions to colour science Offers a new approach to colour perception and measurement, developing the theoretical framework used in colorimetry Bridges the gap between colour engineering and a coherent mathematical theory of colour Outlines mathematical foundations applicable to the colour vision of humans and animals as well as technologies equipped with artificial photosensors Contains algorithms for solving various problems in colour science, such as the mathematical problem of describing metameric lights Formulates all results to be accessible to non-mathematicians and colour specialists Foundations of Colour Science: From Colorimetry to Perception is an invaluable resource for academics, researchers, industry professionals and undergraduate and graduate students with interest in a mathematical approach to the science of colour.

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564

Publisher

John Wiley & Sons

Published Date

ISBN 10

1119885949

ISBN 13

9781119885948

Basics of Modern Mathematical Statistics

By: Vladimir Spokoiny,Thorsten Dickhaus

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Basics of Modern Mathematical Statistics

By: Vladimir Spokoiny,Thorsten Dickhaus

This textbook provides a unified and self-contained presentation of the main approaches to and ideas of mathematical statistics. It collects the basic mathematical ideas and tools needed as a basis for more serious study or even independent research in statistics. The majority of existing textbooks in mathematical statistics follow the classical asymptotic framework. Yet, as modern statistics has changed rapidly in recent years, new methods and approaches have appeared. The emphasis is on finite sample behavior, large parameter dimensions, and model misspecifications. The present book provides a fully self-contained introduction to the world of modern mathematical statistics, collecting the basic knowledge, concepts and findings needed for doing further research in the modern theoretical and applied statistics. This textbook is primarily intended for graduate and postdoc students and young researchers who are interested in modern statistical methods.

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311

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Springer

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ISBN 10

3642399096

ISBN 13

9783642399091

Algebraic Formalization of Smart Systems

Theory and Practice

By: Natalia Serdyukova,Vladimir Serdyukov

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Algebraic Formalization of Smart Systems

Theory and Practice

By: Natalia Serdyukova,Vladimir Serdyukov

This book reveals the general laws of the theory of smart systems with the help of a very powerful and expressive language of algebraic formalization. It also shows how this language can be used to substantiate practical results in the field of smart systems, which previously had only an empirical justification. Further, it proposes a translation of the theory of smart systems from verbal language to a much more expressive language of algebraic formalization, allowing the laws of the theory of smart systems to be seen in a different light. In 1937 L. Bertalanffy proposed the concept of an algebraic system and the development of a mathematical apparatus for describing systems. In the 1970s, A.I. Mal'tsev developed a theory of algebraic systems connecting algebra and logic for studying algebraic and logical objects. In the 1990s, the concept of purities by predicates was introduced by one of the authors, and the book includes some of its applications. The concept, which is based on the theory of algebraic systems, allows clarification of the connections between quantitative and qualitative analysis of a system. The book is intended for readers who use elements of artificial intelligence in their work.

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220

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Springer

Published Date

ISBN 10

3319770519

ISBN 13

9783319770512

The Skyrme Model

Fundamentals Methods Applications

By: Vladimir G. Makhankov,Yurii P. Rybakov,Valerii I. Sanyuk

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The Skyrme Model

Fundamentals Methods Applications

By: Vladimir G. Makhankov,Yurii P. Rybakov,Valerii I. Sanyuk

The December 1988 issue of the International Journal of Modern Physics A is dedicated to the memory of Tony Hilton Royle Skyrme. It contains an informative account of his life by Dalitz and Aitchison's reconstruction of a talk by Skyrme on the origin of the Skyrme model. From these pages, we learn that Tony Skyrme was born in England in December 1922. He grew up in that country during a period of increasing economic and political turbulence in Europe and elsewhere. In 1943, after Cambridge, he joined the British war effort in making the atomic bomb. He was associated with military projects throughout the war years and began his career as an academic theoretical physicist only in 1946. During 1946-61, he was associated with Cambridge, Birmingham and Harwell and was engaged in wide-ranging investigations in nuclear physics. It was this research which eventually culminated in his studies of nonlinear field theories and his remarkable proposals for the description of the nucleon as a chiral soliton. In his talk, Skyrme described the reasons behind his extraordinary sug gestions, which when first made must have seemed bizarre. According to him, ideas of this sort go back many decades and occur in the work of Sir William Thomson, who later became Lord Kelvin. Skyrme had heard of Kelvin in his youth.

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275

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Springer Science & Business Media

Published Date

ISBN 10

364284670X

ISBN 13

9783642846700

Inverse Problems in the Theory of Small Oscillations

By: Vladimir Marchenko,Victor Slavin

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Inverse Problems in the Theory of Small Oscillations

By: Vladimir Marchenko,Victor Slavin

Inverse problems of spectral analysis deal with the reconstruction of operators of the specified form in Hilbert or Banach spaces from certain of their spectral characteristics. An interest in spectral problems was initially inspired by quantum mechanics. The main inverse spectral problems have been solved already for Schrödinger operators and for their finite-difference analogues, Jacobi matrices. This book treats inverse problems in the theory of small oscillations of systems with finitely many degrees of freedom, which requires finding the potential energy of a system from the observations of its oscillations. Since oscillations are small, the potential energy is given by a positive definite quadratic form whose matrix is called the matrix of potential energy. Hence, the problem is to find a matrix belonging to the class of all positive definite matrices. This is the main difference between inverse problems studied in this book and the inverse problems for discrete analogues of the Schrödinger operators, where only the class of tridiagonal Hermitian matrices are considered.

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170

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American Mathematical Soc.

Published Date

ISBN 10

1470448904

ISBN 13

9781470448905

Huygens and Barrow, Newton and Hooke

Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals

By: Vladimir I. Arnold

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Huygens and Barrow, Newton and Hooke

Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals

By: Vladimir I. Arnold

Translated from the Russian by E.J.F. Primrose "Remarkable little book." -SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century. Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics. The book provides present-day generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings.

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120

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Birkhäuser

Published Date

ISBN 10

3034891296

ISBN 13

9783034891295

Lightning

Physics and Effects

By: Vladimir A. Rakov,Martin A. Uman

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Lightning

Physics and Effects

By: Vladimir A. Rakov,Martin A. Uman

Lightning: Physics and Effects is the first book that covers essentially all aspects of lightning, including lightning physics, lightning protection and the interaction of lightning with a variety of objects and systems as well as with the environment. It is written in a style that will be accessible to the technical non-expert and is addressed to anyone interested in lightning and its effects. This will include physicists, engineers working in the power, communications, computer and aviation industries, meteorologists, atmospheric chemists, foresters, ecologists, physicians working in the area of electrical trauma and architects. This comprehensive reference volume contains over 300 illustrations, 70 tables containing quantitative information and a bibliography of more than 6000 references.

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1485

Publisher

Cambridge University Press

Published Date

ISBN 10

1107268559

ISBN 13

9781107268555

Probability and Finance

It's Only a Game!

By: Glenn Shafer,Vladimir Vovk

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Probability and Finance

It's Only a Game!

By: Glenn Shafer,Vladimir Vovk

Provides a foundation for probability based on game theory rather than measure theory. A strong philosophical approach with practical applications. Presents in-depth coverage of classical probability theory as well as new theory.

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438

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John Wiley & Sons

Published Date

ISBN 10

0471461717

ISBN 13

9780471461715

Attractors for Equations of Mathematical Physics

By: Vladimir V. Chepyzhov,M. I. Vishik

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Attractors for Equations of Mathematical Physics

By: Vladimir V. Chepyzhov,M. I. Vishik

One of the major problems in the study of evolution equations of mathematical physics is the investigation of the behavior of the solutions to these equations when time is large or tends to infinity. The related important questions concern the stability of solutions or the character of the instability if a solution is unstable. In the last few decades, considerable progress in this area has been achieved in the study of autonomous evolution partial differential equations. For anumber of basic evolution equations of mathematical physics, it was shown that the long time behavior of their solutions can be characterized by a very important notion of a global attractor of the equation. In this book, the authors study new problems related to the theory of infinite-dimensionaldynamical systems that were intensively developed during the last 20 years. They construct the attractors and study their properties for various non-autonomous equations of mathematical physics: the 2D and 3D Navier-Stokes systems, reaction-diffusion systems, dissipative wave equations, the complex Ginzburg-Landau equation, and others. Since, as it is shown, the attractors usually have infinite dimension, the research is focused on the Kolmogorov $\varepsilon$-entropy of attractors. Upperestimates for the $\varepsilon$-entropy of uniform attractors of non-autonomous equations in terms of $\varepsilon$-entropy of time-dependent coefficients are proved. Also, the authors construct attractors for those equations of mathematical physics for which the solution of the corresponding Cauchyproblem is not unique or the uniqueness is not proved. The theory of the trajectory attractors for these equations is developed, which is later used to construct global attractors for equations without uniqueness. The method of trajectory attractors is applied to the study of finite-dimensional approximations of attractors. The perturbation theory for trajectory and global attractors is developed and used in the study of the attractors of equations with terms rapidly oscillating with respect tospatial and time variables. It is shown that the attractors of these equations are contained in a thin neighborhood of the attractor of the averaged equation. The book gives systematic treatment to the theory of attractors of autonomous and non-autonomous evolution equations of mathematical physics.It can be used both by specialists and by those who want to get acquainted with this rapidly growing and important area of mathematics.

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377

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821829505

ISBN 13

9780821829509

A Course in Functional Analysis and Measure Theory

By: Vladimir Kadets

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A Course in Functional Analysis and Measure Theory

By: Vladimir Kadets

Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory. Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses.

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553

Publisher

Springer

Published Date

ISBN 10

3319920049

ISBN 13

9783319920047

The Radiation Legacy of the Soviet Nuclear Complex

An Analytical Overview

By: Nikolai N. Egorov,Vladimir M. Novikov,Frank L. Parker,Victor K. Popov

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The Radiation Legacy of the Soviet Nuclear Complex

An Analytical Overview

By: Nikolai N. Egorov,Vladimir M. Novikov,Frank L. Parker,Victor K. Popov

A study of the legacy of nuclear contamination in the Soviet Union. It gives the location and characteristics of the accumulated radioactive material and wastes by each sector, from ore and mining to use and disposal. It describes types of storage, capacity and utilization, age and location. It gives information on the territories and locations contaminated, by normal operations and by accidents, from which strategic plans for remediation can be formulated.

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277

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Routledge

Published Date

ISBN 10

1134197144

ISBN 13

9781134197149

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 Solids under High Pressure discusses the relationships of phase transformations in solids under high pressure, the mechanism of these transformations, crystal geometry, the effect of deformation, the conditions of formation, and preservation of the high-pressure phases under normal pressure. The book begins with an introduction that describes the relationship of the thermodynamics of phase transformations and the kinetics of the transformations. This is followed by a chapter explaining the equipment and mostly original procedures for investigating phase transformation in solids under high hydrostatic and quasi-hydrostatic pressures. The book covers phase transformations under high pressure in a wide temperature range in the elements carbon, silicon, germanium, titanium, zirconium, iron, gallium, and cerium as well as in titanium- and iron-based alloys and AIBVII, AIIBVI, and AIIIBV compounds. In addition, the book examines the kinetics of phase transformations in iron-based alloys in isobaric–isothermal conditions. The authors present results for phase transformations in deformation under high pressure, describe several non-trivial effects associated with phase transformations under high pressure, and analyze the kinetics and hysteresis of high-temperature and low-temperature phase transformations. They conclude by describing the role of investigations under high pressure for determining general relationships governing phase transformations in solids.

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Page Count

455

Publisher

CRC Press

Published Date

ISBN 10

1466594241

ISBN 13

9781466594241

Book's by Vladimir Tikhomirov

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