Sv t m's Books

Methods of Statistical Physics

International Series in Natural Philosophy

By: A. I. Akhiezer,S. V. Peletminskii

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Methods of Statistical Physics

International Series in Natural Philosophy

By: A. I. Akhiezer,S. V. Peletminskii

Methods of Statistical Physics is an exposition of the tools of statistical mechanics, which evaluates the kinetic equations of classical and quantized systems. The book also analyzes the equations of macroscopic physics, such as the equations of hydrodynamics for normal and superfluid liquids and macroscopic electrodynamics. The text gives particular attention to the study of quantum systems. This study begins with a discussion of problems of quantum statistics with a detailed description of the basics of quantum mechanics along with the theory of measurement. An analysis of the asymptotic behavior of universal quantities is also explained. Strong consideration is given to the systems with spontaneously broken system. Theories such as the kinetic theory of gases, the theory of Brownian motion, the theory of the slowing down of neutrons, and the theory of transport phenomena in crystals are discussed. The book will be a useful tool for physicists, mathematicians, students, and researchers in the field of statistical mechanics.

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467

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Elsevier

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ISBN 10

1483189376

ISBN 13

9781483189376

Local Fields and Their Extensions: Second Edition

By: Ivan B. Fesenko,S. V. Vostokov

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Local Fields and Their Extensions: Second Edition

By: Ivan B. Fesenko,S. V. Vostokov

This book offers a modern exposition of the arithmetical properties of local fields using explicit and constructive tools and methods. It has been ten years since the publication of the first edition, and, according to Mathematical Reviews, 1,000 papers on local fields have been published during that period. This edition incorporates improvements to the first edition, with 60 additional pages reflecting several aspects of the developments in local number theory. The volume consists of four parts: elementary properties of local fields, class field theory for various types of local fields and generalizations, explicit formulas for the Hilbert pairing, and Milnor -groups of fields and of local fields. The first three parts essentially simplify, revise, and update the first edition. The book includes the following recent topics: Fontaine-Wintenberger theory of arithmetically profinite extensions and fields of norms, explicit noncohomological approach to the reciprocity map with a review of all other approaches to local class field theory, Fesenko's -class field theory for local fields with perfect residue field, simplified updated presentation of Vostokov's explicit formulas for the Hilbert norm residue symbol, and Milnor -groups of local fields. Numerous exercises introduce the reader to other important recent results in local number theory, and an extensive bibliography provides a guide to related areas.

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362

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American Mathematical Soc.

Published Date

ISBN 10

082183259X

ISBN 13

9780821832592

Thermodynamic and Kinetic Aspects of the Vitreous State

By: S.V. Nemilov

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Thermodynamic and Kinetic Aspects of the Vitreous State

By: S.V. Nemilov

This is the first book to logically present the major problems of the vitreous state within the framework of irreversible thermodynamics. Filled with elementary explanations for difficult problems, this easily understood text/reference treats in detail the criteria of glass transition, the peculiarities of relaxing structural parameters, and the Prigogine-Defay ratio. Based on the author's rigorous generalization of the Second Law for non-equilibrium, the book systematizes all known thermodynamic data for glasses and melts. The thermodynamic essence of structural relaxation and memory effects are considered. The viscous flow theories are treated as a constituent of the kinetic description. All theoretical questions are illustrated by comparison of calculations with the experiments for glasses of inorganic and organic nature, with special attention to structural classification. An informative review of modern structural investigations is included. The bibliography follows the history of the main problems from the nineteenth century.

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222

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CRC Press

Published Date

ISBN 10

1351085735

ISBN 13

9781351085731

Ergodic Theory

By: I. P. Cornfeld,S. V. Fomin,Y. G. Sinai

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Ergodic Theory

By: I. P. Cornfeld,S. V. Fomin,Y. G. Sinai

Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. Before this period, with a small number of exceptions, ergodic theory dealt primarily with averaging problems and general qualitative questions, while now it is a powerful amalgam of methods used for the analysis of statistical properties of dyna mical systems. For this reason, the problems of ergodic theory now interest not only the mathematician, but also the research worker in physics, biology, chemistry, etc. The outline of this book became clear to us nearly ten years ago but, for various reasons, its writing demanded a long period of time. The main principle, which we adhered to from the beginning, was to develop the approaches and methods or ergodic theory in the study of numerous concrete examples. Because of this, Part I of the book contains the description of various classes of dynamical systems, and their elementary analysis on the basis of the fundamental notions of ergodicity, mixing, and spectra of dynamical systems. Here, as in many other cases, the adjective" elementary" i~ not synonymous with "simple. " Part II is devoted to "abstract ergodic theory. " It includes the construc tion of direct and skew products of dynamical systems, the Rohlin-Halmos lemma, and the theory of special representations of dynamical systems with continuous time. A considerable part deals with entropy.

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487

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Springer Science & Business Media

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ISBN 10

1461569273

ISBN 13

9781461569275

Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions

By: v Mityushev,S V Rogosin

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Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions

By: v Mityushev,S V Rogosin

Constructive methods developed in the framework of analytic functions effectively extend the use of mathematical constructions, both within different branches of mathematics and to other disciplines. This monograph presents some constructive methods-based primarily on original techniques-for boundary value problems, both linear and nonlinear. From among the many applications to which these methods can apply, the authors focus on interesting problems associated with composite materials with a finite number of inclusions. How far can one go in the solutions of problems in nonlinear mechanics and physics using the ideas of analytic functions? What is the difference between linear and nonlinear cases from the qualitative point of view? What kinds of additional techniques should one use in investigating nonlinear problems? Constructive Methods for Linear and Nonlinear Boundary Value Problems serves to answer these questions, and presents many results to Westerners for the first time. Among the most interesting of these is the complete solution of the Riemann-Hilbert problem for multiply connected domains. The results offered in Constructive Methods for Linear and Nonlinear Boundary Value Problems are prepared for direct application. A historical survey along with background material, and an in-depth presentation of practical methods make this a self-contained volume useful to experts in analytic function theory, to non-specialists, and even to non-mathematicians who can apply the methods to their research in mechanics and physics.

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300

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CRC Press

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ISBN 10

1584880570

ISBN 13

9781584880578

Elements of the Theory of Functions and Functional Analysis

By: Andre? Nikolaevich Kolmogorov,Serge? Vasil?evich Fomin,S. V. Fomin

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Elements of the Theory of Functions and Functional Analysis

By: Andre? Nikolaevich Kolmogorov,Serge? Vasil?evich Fomin,S. V. Fomin

Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.

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292

Publisher

Courier Corporation

Published Date

ISBN 10

0486406830

ISBN 13

9780486406831

Laser Cooling of Solids

By: S V Petrushkin,V V Samartsev

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Laser Cooling of Solids

By: S V Petrushkin,V V Samartsev

Laser cooling is an important emerging technology in such areas as the cooling of semiconductors. The book examines and suggests solutions for a range of problems in the development of miniature solid-state laser refrigerators, self-cooling solid-state lasers and optical echo-processors. It begins by looking at the basic theory of laser cooling before considering such topics as self-cooling of active elements of solid-state lasers, laser cooling of solid-state information media of optical echo-processors, and problems of cooling solid-state quantum processors.Laser Cooling of Solids is an important contribution to the development of compact laser-powered cryogenic refrigerators, both for the academic community and those in the microelectronics and other industries. - Provides a timely review of this promising field of research and discusses the fundamentals and theory of laser cooling - Particular attention is given to the physics of cooling processes and the mathematical description of these processes - Reviews previous experimental investigations in laser cooling and presents progress towards key potential applications

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237

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Elsevier

Published Date

ISBN 10

1845696832

ISBN 13

9781845696832

Geometrical Methods in Variational Problems

By: N.A. Bobylov,S.V. Emel'yanov,S. Korovin

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Geometrical Methods in Variational Problems

By: N.A. Bobylov,S.V. Emel'yanov,S. Korovin

This self-contained monograph presents methods for the investigation of nonlinear variational problems. These methods are based on geometric and topological ideas such as topological index, degree of a mapping, Morse-Conley index, Euler characteristics, deformation invariant, homotopic invariant, and the Lusternik-Shnirelman category. Attention is also given to applications in optimisation, mathematical physics, control, and numerical methods. Audience: This volume will be of interest to specialists in functional analysis and its applications, and can also be recommended as a text for graduate and postgraduate-level courses in these fields.

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556

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Springer Science & Business Media

Published Date

ISBN 10

9401146292

ISBN 13

9789401146296

Signal Processing

Principles and Implementation

By: S. V. Narasimhan,S. Veena

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Signal Processing

Principles and Implementation

By: S. V. Narasimhan,S. Veena

Signal Processing: Principles and Implementation, has been developed in a simple logical manner. The ease of understanding is not at the cost of the rigor and depth of the subject but has been achieved by giving all the intermediate mathematical steps involved in a derivation and by giving the physical meaning of the mathematical relations. To understand the subject, knowledge of junior level Physics and Mathematics is required."--BOOK JACKET.

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600

Publisher

Alpha Science Int'l Ltd.

Published Date

ISBN 10

1842651994

ISBN 13

9781842651995

Practical Density Measurement and Hydrometry

By: S.V Gupta

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Practical Density Measurement and Hydrometry

By: S.V Gupta

The introduction of the ISO 9000 quality standard resulted in renewed interest and pressure on industry to strengthen their quality and metrology standards. To meet this renewed interest Practical Density Measurement and Hydrometry provides invaluable, contemporary information on mass metrology. The book highlights the principles of physics involved and the technology needed to accurately measure the density of solids and liquids to high precision to meet the increasing demands on the metrology industry. Starting with national and international density standards, the book proceeds to discuss the variety of methods used to accurately measure solid and liquid density, to compare and contrast these techniques, and to thoroughly explain the thermal dilation of liquids. It also examines interferometers used in dimensional measurements of solid-based density standards, corrections applicable due to finite aperture, phase change due to reflection and ringing, and special methods for density determination. The final chapters detail specific points of relevance to density measurements and hydrometry for materials commonly used in industry. Complimented with practical guidance on applying these measurement techniques, calibration procedures, and data tables, this book is an essential reference for metrologists and a valuable introduction for graduate students.

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388

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CRC Press

Published Date

ISBN 10

1420033670

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9781420033670

Explosive Welding

Processes and Structures

By: B.A. Greenberg,M. A. Ivanov,S. V. Kuzmin,V. I. Lysak

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Explosive Welding

Processes and Structures

By: B.A. Greenberg,M. A. Ivanov,S. V. Kuzmin,V. I. Lysak

This reference explores explosion welding, a high intensity, transient impact that achieves metal compounds not obtainable otherwise. Electron microscopy images cover the structure of numerous welded joints including titanium–orthorhombic titanium aluminide, copper–tantalum, aluminum–tantalum, iron–silver, steel–steel, and copper–titanium. These weldable pairs have different solubility than their initial elements. The authors present various processes and structures including granulating fragmentation, cusps, splashes, and quasi-wave interface. Specific risk zones for chemical and petrochemical (coke chamber) reactors are probed and suggestions offered. Key Features: Offers new theories about explosion welding processes and structures Investigates dozens of weldable pairs with differing solubility from initial elements Studies both hetero- and homogeneous pairs Explores welded joints with flat, wavy and quasi-wavy separation boundaries Observes irregularities of the separation surface relief observing asperities and splashes and their transformation under intensified welding modes Unveils a new type of fragmentation under explosion welding Explosive Welding: Processes and Structures is a valuable resource for a wide range of experts involved in explosion welding, engineers, as well as graduate and postgraduate students.

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242

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CRC Press

Published Date

ISBN 10

1000712591

ISBN 13

9781000712599

Algorithmic and Computer Methods for Three-Manifolds

By: A.T. Fomenko,S.V. Matveev

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Algorithmic and Computer Methods for Three-Manifolds

By: A.T. Fomenko,S.V. Matveev

One service mathematics has rendered the human race. It has put common sense back where it belongs. It has put common sense back where it belongs, on the topmost shelf next to the dusty canister labelled discarded nonsense. Eric TBell Every picture tells a story. Advenisement for for Sloan's backache and kidney oils, 1907 The book you have in your hands as you are reading this, is a text on3-dimensional topology. It can serve as a pretty comprehensive text book on the subject. On the other hand, it frequently gets to the frontiers of current research in the topic. If pressed, I would initially classify it as a monograph, but, thanks to the over three hundred illustrations of the geometrical ideas involved, as a rather accessible one, and hence suitable for advanced classes. The style is somewhat informal; more or less like orally presented lectures, and the illustrations more than make up for all the visual aids and handwaving one has at one's command during an actual presentation.

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343

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Springer Science & Business Media

Published Date

ISBN 10

9401706999

ISBN 13

9789401706995

Path-integral Methods and Their Applications

By: D. C. Khandekar,S. V. Lawande,K. V. Bhagwat

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Path-integral Methods and Their Applications

By: D. C. Khandekar,S. V. Lawande,K. V. Bhagwat

This book presents the major developments in this field with emphasis on application of path integration methods in diverse areas. After introducing the concept of path integrals, related topics like random walk, Brownian motion and Wiener integrals are discussed. Several techniques of path integration including global and local time transformations, numerical methods as well as approximation schemes are presented. The book provides a proper perspective of some of the most recent exact results and approximation schemes for practical applications.

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362

Publisher

World Scientific

Published Date

ISBN 10

9810205635

ISBN 13

9789810205638

Fields and Fundamental Interactions

By: S.V. Peletminsky

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Fields and Fundamental Interactions

By: S.V. Peletminsky

The author presents the general methods of quantization of physical fields including Bose, Fermi, and gauge fields, and the methods for eliminating divergences arising in the modern theory of interacting fields are discussed in detail. The concept of quarks and gluons is used as a basis for formulating quantum chromodynamics, which represents a theory of the strong interactions of hadrons. The theory of electroweak interaction generalizes Fermi's theory of beta decay and unifies the theories of weak and electromagnetic interactions, and both Einstein's theory of gravitation and the theory of superfields are developed in terms of non-Abelian gauge fields. Fields and Fundamental Interactions is an indispensable reference for graduates and researchers in the fields of quantum theory, quantum electrodynamics and elementary particle physics.

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594

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CRC Press

Published Date

ISBN 10

0415272823

ISBN 13

9780415272827

Jacobi Dynamics

Many-Body Problem in Integral Characteristics

By: V.I. Ferronsky,S.A. Denisik,S.V. Ferronsky

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Jacobi Dynamics

Many-Body Problem in Integral Characteristics

By: V.I. Ferronsky,S.A. Denisik,S.V. Ferronsky

This book sets forth and builds upon the fundamentals of the dynamics of natural systems in formulating the problem presented by Jacobi in his famous lecture series "Vorlesungen tiber Dynamik" (Jacobi, 1884). In the dynamics of systems described by models of discrete and continuous media, the many-body problem is usually solved in some approximation, or the behaviour of the medium is studied at each point of the space it occupies. Such an approach requires the system of equations of motion to be written in terms of space co-ordinates and velocities, in which case the requirements of an internal observer for a detailed description of the processes are satisfied. In the dynamics discussed here we study the time behaviour of the fundamental integral characteristics of the physical system, i. e. the Jacobi function (moment of inertia) and energy (potential, kinetic and total), which are functions of mass density distribution, and the structure of a system. This approach satisfies the requirements of an external observer. It is designed to solve the problem of global dynamics and the evolution of natural systems in which the motion of the system's individual elements written in space co-ordinates and velocities is of no interest. It is important to note that an integral approach is made to internal and external interactions of a system which results in radiation and absorption of energy. This effect constitutes the basic physical content of global dynamics and the evolution of natural systems.

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394

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Springer Science & Business Media

Published Date

ISBN 10

9027724180

ISBN 13

9789027724182

Transformer Engineering

Design, Technology, and Diagnostics, Second Edition

By: S.V. Kulkarni,S.A. Khaparde

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Transformer Engineering

Design, Technology, and Diagnostics, Second Edition

By: S.V. Kulkarni,S.A. Khaparde

Transformer Engineering: Design, Technology, and Diagnostics, Second Edition helps you design better transformers, apply advanced numerical field computations more effectively, and tackle operational and maintenance issues. Building on the bestselling Transformer Engineering: Design and Practice, this greatly expanded second edition also emphasizes diagnostic aspects and transformer-system interactions. What’s New in This Edition Three new chapters on electromagnetic fields in transformers, transformer-system interactions and modeling, and monitoring and diagnostics An extensively revised chapter on recent trends in transformer technology An extensively updated chapter on short-circuit strength, including failure mechanisms and safety factors A step-by-step procedure for designing a transformer Updates throughout, reflecting advances in the field A blend of theory and practice, this comprehensive book examines aspects of transformer engineering, from design to diagnostics. It thoroughly explains electromagnetic fields and the finite element method to help you solve practical problems related to transformers. Coverage includes important design challenges, such as eddy and stray loss evaluation and control, transient response, short-circuit withstand and strength, and insulation design. The authors also give pointers for further research. Students and engineers starting their careers will appreciate the sample design of a typical power transformer. Presenting in-depth explanations, modern computational techniques, and emerging trends, this is a valuable reference for those working in the transformer industry, as well as for students and researchers. It offers guidance in optimizing and enhancing transformer design, manufacturing, and condition monitoring to meet the challenges of a highly competitive market.

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750

Publisher

CRC Press

Published Date

ISBN 10

1439854181

ISBN 13

9781439854181

CANCOM 2001 Proceedings of the 3rd Canadian International Conference on Composites

By: S.V. Hoa

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CANCOM 2001 Proceedings of the 3rd Canadian International Conference on Composites

By: S.V. Hoa

This book contains technical papers, presented at the third Canadian International Conference on Composites held in Canada in 2001, on topics including liquid composite molding, process modelling, virtual manufacturing, novel materials and processes, and metal matrix composites.

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822

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CRC Press

Published Date

ISBN 10

1000125106

ISBN 13

9781000125108

Units of Measurement

History, Fundamentals and Redefining the SI Base Units

By: S. V. Gupta

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Units of Measurement

History, Fundamentals and Redefining the SI Base Units

By: S. V. Gupta

This book delivers a comprehensive overview of units of measurement. Beginning with a historical look at metrology in Ancient India, the book explains fundamental concepts in metrology such as basic, derived and dimensionless quantities, and introduces the concept of quantity calculus. It discusses and critically examines various three and four-dimensional systems of units used both presently and in the past, while explaining why only four base units are needed for a system of measurement. It discusses the Metre Convention as well as the creation of the International Bureau of Weights and Measures, and gives a detailed look at the evolution of the current SI base units of time, length, mass, electric current, temperature, intensity of illumination and substance. This updated second edition is extended with timely new chapters discussing past efforts to redefine the SI base units as well as the most recent 2019 redefinitions based entirely on the speed of light and other fundamental physical constants. Additionally, it provides biographical presentations of many of the historical figures behind commonly used units of measurements, such as Newton, Joule and Ohm, With its accessible and comprehensive treatment of the field, together with its unique presentation of the underlying history, this book is well suited to any student and researcher interested in the practical and historical aspects of the field of metrology.

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317

Publisher

Springer Nature

Published Date

ISBN 10

3030439690

ISBN 13

9783030439699

Structure and Properties of High-Entropy Alloys

By: V. E. Gromov,S. V. Konovalov,Yu. F. Ivanov,K. A. Osintsev

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Structure and Properties of High-Entropy Alloys

By: V. E. Gromov,S. V. Konovalov,Yu. F. Ivanov,K. A. Osintsev

This book provides an overview of high entropy alloys, explaining all the basics of this new class of materials that emerged at the beginning of the 21st: It begins with the basics of the manufacturing methods of high entropy alloys and discusses the mechanical properties and deformation mechanisms of high entropy alloys. Then the book addresses the stability of these alloys and explores the prospects of high entropy alloys for applications.This book is intended as an introduction for physicists and materials scientists who need to become familiar with high entropy alloys.

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118

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Springer Nature

Published Date

ISBN 10

3030783642

ISBN 13

9783030783648

A Practical Guide to Human Cancer Genetics

By: S. V. Hodgson

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A Practical Guide to Human Cancer Genetics

By: S. V. Hodgson

The 2006 third edition of this very successful book provides a comprehensive and practical guide to the diagnosis and management of inherited disorders conferring susceptibility to cancer. Issues discussed include risk assessment, genetic counselling, predictive testing and organisation of a cancer genetics service. A full reference list gives access to background literature. With molecular information, screening guidelines and management advice, this new edition will provide geneticists and clinicians in all disciplines with an invaluable resource for screening, managing and advising patients.

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411

Publisher

Cambridge University Press

Published Date

ISBN 10

052168563X

ISBN 13

9780521685634

Collision Processes and Excitation of UV Emission from Planetary Atmospheric Gases

A Handbook of Cross Sections

By: SV Avakyan

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Collision Processes and Excitation of UV Emission from Planetary Atmospheric Gases

A Handbook of Cross Sections

By: SV Avakyan

Over the past few decades, the excitation and ionization of atmospheric gases has become an area of intense research. A large amount of data have been accumulated concerning the various elementary processes which occur when photons, electrons and ions collide with atoms and molecules. This scattered information has now been collected in a handbook for the first time, and the authors give a critical analysis of relevant data. This book is a comprehensive and detailed study of the available information and is distinguished by the following outstanding features: the consideration of a large number of atmospheric constituents, including H^O2, H, N^O2, N, O^O2, O, CO, CO^O2, H^O2O, HCl and some hydrocarbons the maximum number of space particles, including magnetospheric particles, are considered as projectiles: photons, electrons, hydrogen atoms, protons and helium ionsthe energy range under study corresponds to the real spectrum of cosmic fluxes, from threshold values for elementary processes up to several thousand keV the recommended values of cross sections, obtained from analysis of the available experimental data, are given in the handbook and their accuracy is estimated. These features make the handbook particularly valuable to specialists in the aeronomy of planets, comets and active perturbations, as well as to experimentalists and theoreticians working in the fields of plasma physics, atomic and molecular physics, physics of the upper atmosphere, chemical physics, optics and spectroscopy.

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390

Publisher

Routledge

Published Date

ISBN 10

1351459864

ISBN 13

9781351459860

Algebraic Number Theory and Algebraic Geometry

Papers Dedicated to A.N. Parshin on the Occasion of His Sixtieth Birthday

By: S. V. Vostokov,Yuri Zarhin

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Algebraic Number Theory and Algebraic Geometry

Papers Dedicated to A.N. Parshin on the Occasion of His Sixtieth Birthday

By: S. V. Vostokov,Yuri Zarhin

A. N. Parshin is a world-renowned mathematician who has made significant contributions to number theory through the use of algebraic geometry. Articles in this volume present new research and the latest developments in algebraic number theory and algebraic geometry and are dedicated to Parshin's sixtieth birthday. Well-known mathematicians contributed to this volume, including, among others, F. Bogomolov, C. Deninger, and G. Faltings. The book is intended for graduate students andresearch mathematicians interested in number theory, algebra, and algebraic geometry.

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232

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821832670

ISBN 13

9780821832677

Mass Metrology

By: S. V. Gupta

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Mass Metrology

By: S. V. Gupta

This book presents the practical aspects of mass measurements. Concepts of gravitational, inertial and conventional mass and details of the variation of acceleration of gravity are described. The Metric Convention and International Prototype Kilogram and BIPM standards are described. The effect of change of gravity on the indication of electronic balances is derived with respect of latitude, altitude and earth topography. The classification of weights by OIML is discussed. Maximum permissible errors in different categories of weights prescribed by national and international organizations are presented. Starting with the necessity of redefining the unit kilogram in terms of physical constants, various methods of defining the kilogram in terms of physical constants are described. The kilogram can be defined by Avogadro’s constant, ion collection of some heavy elements, levitation, voltage and Watt Balance. The detection of very small mass of the order of zeptogram through Nanotechnolgy is also discussed. Latest recommendations of CIPM are given.

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365

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642234127

ISBN 13

9783642234125

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

Theory of Concentrated Vortices

An Introduction

By: S. V. Alekseenko,P.A. Kuibin,V. L. Okulov

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Theory of Concentrated Vortices

An Introduction

By: S. V. Alekseenko,P.A. Kuibin,V. L. Okulov

This book presents comprehensive and authoritative coverage of the wide field of concentrated vortices observed in nature and technique. The methods for research of their kinematics and dynamics are considered. Special attention is paid to the flows with helical symmetry. The authors have described models of vortex structures used for interpretation of experimental data which serve as a ground for development of theoretical and numerical approaches to vortex investigation.

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505

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Springer Science & Business Media

Published Date

ISBN 10

3540733760

ISBN 13

9783540733768

Viscometry for Liquids

Calibration of Viscometers

By: S. V. Gupta

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Viscometry for Liquids

Calibration of Viscometers

By: S. V. Gupta

This book is written for scientists involved in the calibration of viscometers. A detailed description for stepping up procedures to establish the viscosity scale and obtaining sets of master viscometers is given in the book. Uncertainty considerations for standard oils of known viscosity are presented. The modern viscometers based on principles of tuning fork, ultrasonic, PZT, plate waves, Love waves, micro-cantilever and vibration of optical fiber are discussed to inspire the reader to further research and to generate improved versions. The primary standard for viscosity is pure water. Measurements of its viscosity with accuracy/uncertainty achieved are described. The principles of rotational and oscillation viscometers are explained to enhance the knowledge in calibration work. Devices used for specific materials and viscosity in non SI units are discussed with respect to the need to correlate viscosity values obtained by various devices. The description of commercial viscometers meets the needs of the user.

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Page Count

266

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Springer Science & Business Media

Published Date

ISBN 10

3319048589

ISBN 13

9783319048581

The Bounded and Precise Word Problems for Presentations of Groups

By: S. V. Ivanov

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The Bounded and Precise Word Problems for Presentations of Groups

By: S. V. Ivanov

The author introduces and studies the bounded word problem and the precise word problem for groups given by means of generators and defining relations. For example, for every finitely presented group, the bounded word problem is in NP, i.e., it can be solved in nondeterministic polynomial time, and the precise word problem is in PSPACE, i.e., it can be solved in polynomial space. The main technical result of the paper states that, for certain finite presentations of groups, which include the Baumslag-Solitar one-relator groups and free products of cyclic groups, the bounded word problem and the precise word problem can be solved in polylogarithmic space. As consequences of developed techniques that can be described as calculus of brackets, the author obtains polylogarithmic space bounds for the computational complexity of the diagram problem for free groups, for the width problem for elements of free groups, and for computation of the area defined by polygonal singular closed curves in the plane. The author also obtains polynomial time bounds for these problems.

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Page Count

118

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470441438

ISBN 13

9781470441432

Formation of the Solar System

A New Theory of the Creation and Decay of the Celestial Bodies

By: V.I. Ferronsky,S.V. Ferronsky

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Formation of the Solar System

A New Theory of the Creation and Decay of the Celestial Bodies

By: V.I. Ferronsky,S.V. Ferronsky

Analysis of the orbital motion of the Earth, the Moon and other planets and their satellites led to the discovery that all bodies in the Solar System are moving with the first cosmic velocity of their proto parents. The mean orbital velocity of each planet is equal to the first cosmic velocity of the Protosun, the radius of which is equal to the semi-major axis of the planet’s orbit. The same applies for the planets’ satellites. All the small planets, comets, other bodies and the Sun itself follow this law, a finding that has also been proven by astronomical observations. The theoretical solutions based on the Jacobi dynamics explain the process of the system creation and decay, as well as the nature of Kepler’s laws.

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Page Count

314

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400759088

ISBN 13

9789400759084

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