A.A. Maslov's Books

Captured Soviet Generals

The Fate of Soviet Generals Captured in Combat 1941-45

By: A.A. Maslov

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Captured Soviet Generals

The Fate of Soviet Generals Captured in Combat 1941-45

By: A.A. Maslov

The true story of the fate of the captured Russian Generals after World War II, explaining how these officers endured horrific prison conditions and were then tried and executed when they returned home.

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366

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Routledge

Published Date

ISBN 10

1135274339

ISBN 13

9781135274337

Geometrical Optics of Weakly Anisotropic Media

By: AA Fuki

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Geometrical Optics of Weakly Anisotropic Media

By: AA Fuki

Until recently, there was no effective method for describing waves in weakly anisotropic inhomogeneous media. The method of quasi-isotropic approximation (QIA) of geometrical optics was developed to overcome this problem. The QIA approach bridges the gap between geometrical optics of isotropic media (Rytov method) and that of anisotropic media (Courant-Lax approach). thus providing a complete picture of the geometrical optics of inhomogeneous media. The book explores recent developments in QIA and describes the application of the theory to different branches of wave physics, from plasma physics. quantum physics and ionospheric radio wave propagation to acoustics, optics and astrophysics. The authors present some modifications and generalisations of QIA equations, and look at electromagnetic waves and optical and acoustic effects in weakly anisotropic media, as well as geometrical optics of 3D inhomogeneous media. The book closes with some quantum mechanical analogies. This is an up-to-the minute exposition of the latest developments in an important new area, written by authors of outstanding international reputation. A rich source of both theoretical methods and practical applications, this book covers a wide range of problems of general physical significance and will be of interest to those working in optics, acoustics, electrical engineering, radio engineering and wave propagation through plasma.

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182

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Routledge

Published Date

ISBN 10

1351445316

ISBN 13

9781351445313

Magnetic Fields of Galaxies

By: A.A. Ruzmaikin,D.D. Sokoloff,A.M. Shukurov

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Magnetic Fields of Galaxies

By: A.A. Ruzmaikin,D.D. Sokoloff,A.M. Shukurov

Magnetism, when extended beyond normal frameworks into cosmic space is characterized by an enormous spatial scale. Because of their large sizes the nature of magnets such as the Earth and the Sun is entirely different from the nature of a horseshoe magnet. The source of cosmic magnetism is associated with the hydrodynamic motions of a highly conductive medium. In this aspect, cosmic magnets resemble a dynamo. However, currents in the dynamo flow along properly ordered wires, while chaotic, turbulent motions are dominant inside stars and liquid planetary cores. This makes more intriguing and surprising the fact that these motions maintain a regular magnetic field. Maintenance of magnetic fields is even more impressive in huge magnets, i.e. galaxies. In fact, we are living inside a giant dynamo machine, the Milky Way galaxy. Although the idea of the global magnetic field of our Galaxy was clearly proposed almost 40 years ago, firm observational evidence and definite theoretical concepts of galactic magnetism have been developed only in the last decade. This book is the first attempt at a full and consistent presentation of this problem. We discuss both theoretical views on the origin of galactic magnetism and the methods of observational study. Previous discussions were on the level of review articles or separate chapters in monographs devoted to cosmic magnetic fields (see, e.g., H. K. Moffatt, 1978, E. N. Parker, 1979 and Zeldovich et aI., 1983).

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322

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Springer Science & Business Media

Published Date

ISBN 10

9400928351

ISBN 13

9789400928350

Рост Кристаллоь / Rost Kristallov / Growth of Crystals

Volume 11

By: A. A. Chernov

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Рост Кристаллоь / Rost Kristallov / Growth of Crystals

Volume 11

By: A. A. Chernov

The Growth of Crystals series was begun in 1957 by A. V. Shubnikov and . N. N. SheftaP with the publication of the first volume. which contained the proceedings of the First All-Union Conference on Crystal Growth. The initiative and considerable efforts of the principal editor of the entire series. N. N. Sheftal', and his assistants led over the next 15 years to the publica tion of ten volumes which have assumed a leading position among the numerous books on crys tal growth. It has become traditional in this series to adopt a broad approach to crystal growth problems, and this approach is continued in Volumes 11 and 12, which are composed mainly of papers presented at the Fourth All-Union Conference on Crystal Growth in Tsakhkadzor. September 17-22, 1972. These papers, presented by both Soviet and foreign workers, deal with crystal growth processes. growth methods. and crystal perfection. Many of the papers reflect the tendency for our knowledge of crystallization processes to become increasingly more fundamental. with emphaSis on quantitative treatments. There are some extremely difficult problems in this approach. especially when the requirements of practical uses are envisaged. and many of these are discussed in various ways in these two volumes. These topics include detailed theoretical and experimental analysis of cooperative phenomena in crystallization. with emphasis not only on statistical thermodynamics but also statistical kinetics. This approach involves research on the structure and properties of phase boundaries. including the composition and structure of surface layers in liquids.

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388

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Springer Science & Business Media

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ISBN 10

1461571138

ISBN 13

9781461571131

Applications of Group-Theoretical Methods in Hydrodynamics

By: V.K. Andreev,O.V. Kaptsov,Vladislav V. Pukhnachev,A.A. Rodionov

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Applications of Group-Theoretical Methods in Hydrodynamics

By: V.K. Andreev,O.V. Kaptsov,Vladislav V. Pukhnachev,A.A. Rodionov

It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems. This analysis was especially fruitful in application to the basic equations of mechanics and physics because the invariance principles are already involved in their derivation. It is in no way a coincidence that the equations of hydrodynamics served as the first object for applying the new ideas and methods of group analysis which were developed by 1. V. Ovsyannikov and his school. The authors rank themselves as disciples of the school. The present monograph deals mainly with group-theoretic classification of the equations of hydrodynamics in the presence of planar and rotational symmetry and also with construction of exact solutions and their physical interpretation. It is worth noting that the concept of exact solution to a differential equation is not defined rigorously; different authors understand it in different ways. The concept of exact solution expands along with the progress of mathematics (solu tions in elementary functions, in quadratures, and in special functions; solutions in the form of convergent series with effectively computable terms; solutions whose searching reduces to integrating ordinary differential equations; etc. ). We consider it justifiable to enrich the set of exact solutions with rank one and rank two in variant and partially invariant solutions to the equations of hydrodynamics.

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408

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Springer Science & Business Media

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ISBN 10

9401707456

ISBN 13

9789401707459

Harmonic Analysis in Hypercomplex Systems

By: Yu.M. Berezansky,A.A. Kalyuzhnyi

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Harmonic Analysis in Hypercomplex Systems

By: Yu.M. Berezansky,A.A. Kalyuzhnyi

First works related to the topics covered in this book belong to J. Delsarte and B. M. Le vitan and appeared since 1938. In these works, the families of operators that generalize usual translation operators were investigated and the corresponding harmonic analysis was constructed. Later, starting from 1950, it was noticed that, in such constructions, an important role is played by the fact that the kernels of the corresponding convolutions of functions are nonnegative and by the properties of the normed algebras generated by these convolutions. That was the way the notion of hypercomplex system with continu ous basis appeared. A hypercomplex system is a normed algebra of functions on a locally compact space Q-the "basis" of this hypercomplex system. Later, similar objects, hypergroups, were introduced, which have complex-valued measures on Q as elements and convolution defined to be essentially the convolution of functionals and dual to the original convolution (if measures are regarded as functionals on the space of continuous functions on Q). However, until 1991, the time when this book was written in Russian, there were no monographs containing fundamentals of the theory (with an exception of a short section in the book by Yu. M. Berezansky and Yu. G. Kondratiev [BeKo]). The authors wanted to give an introduction to the theory and cover the most important subsequent results and examples.

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494

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Springer Science & Business Media

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ISBN 10

9401717583

ISBN 13

9789401717588

Foundations of Set Theory

By: A.A. Fraenkel,Y. Bar-Hillel,A. Levy

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Foundations of Set Theory

By: A.A. Fraenkel,Y. Bar-Hillel,A. Levy

Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively non-technical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction of set theory as it was known before. It then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. The next chapters discuss type-theoretical approaches, including the ideal calculus, the theory of types, and Quine's mathematical logic and new foundations; intuitionistic conceptions of mathematics and its constructive character; and metamathematical and semantical approaches, such as the Hilbert program. This book will be of interest to mathematicians, logicians, and statisticians.

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415

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Elsevier

Published Date

ISBN 10

0080887058

ISBN 13

9780080887050

Theorems and Problems in Functional Analysis

By: A. A. Kirillov,A. D. Gvishiani

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Theorems and Problems in Functional Analysis

By: A. A. Kirillov,A. D. Gvishiani

Even the simplest mathematical abstraction of the phenomena of reality the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply" operations," and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its" continuity" as a basis for the model. Analysis regards the line, and the functions on it, in the unity of the whole system of their algebraic and topological properties, with the fundamental deductions about them obtained by using the interplay between the algebraic and topological structures. The same picture is observed at higher stages of abstraction. Algebra studies linear spaces, groups, rings, modules, and so on. Topology studies structures of a different kind on arbitrary sets, structures that give mathe matical meaning to the concepts of a limit, continuity, a neighborhood, and so on. Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on. Thus, the basic object of study in functional analysis consists of objects equipped with compatible algebraic and topological structures.

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351

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Springer Science & Business Media

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ISBN 10

1461381533

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9781461381532

Lasers with Nuclear Pumping

By: S.P. Melnikov,A.A. Sinyanskii,A.N. Sizov,George H. Miley

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Lasers with Nuclear Pumping

By: S.P. Melnikov,A.A. Sinyanskii,A.N. Sizov,George H. Miley

This book covers the history of lasers with nuclear pumping (Nuclear Pumped Lasers, NPLs). This book showcases the most important results and stages of NPL development in The Russian Federal Nuclear Center (VNIIEF) as well as other Russian and international laboratories, including laboratories in the United States. The basic science and technology behind NPLs along with potential applications are covered throughout the book. As the first comprehensive discussion of NPLs, students, researchers, and application engineers interested in high energy lasers will find this book to be an extremely valuable source of information about these unique lasers.

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472

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Springer

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ISBN 10

3319088823

ISBN 13

9783319088822

Semidistributive Modules and Rings

By: A.A. Tuganbaev

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Semidistributive Modules and Rings

By: A.A. Tuganbaev

A module M is called distributive if the lattice Lat(M) of all its submodules is distributive, i.e., Fn(G + H) = FnG + FnH for all submodules F,G, and H of the module M. A module M is called uniserial if all its submodules are comparable with respect to inclusion, i.e., the lattice Lat(M) is a chain. Any direct sum of distributive (resp. uniserial) modules is called a semidistributive (resp. serial) module. The class of distributive (resp. semidistributive) modules properly cont.ains the class ofall uniserial (resp. serial) modules. In particular, all simple (resp. semisimple) modules are distributive (resp. semidistributive). All strongly regular rings (for example, all factor rings of direct products of division rings and all commutative regular rings) are distributive; all valuation rings in division rings and all commutative Dedekind rings (e.g., rings of integral algebraic numbers or commutative principal ideal rings) are distributive. A module is called a Bezout module or a locally cyclic module ifevery finitely generated submodule is cyclic. If all maximal right ideals of a ring A are ideals (e.g., if A is commutative), then all Bezout A-modules are distributive.

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368

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Springer Science & Business Media

Published Date

ISBN 10

9401150869

ISBN 13

9789401150866

Nuclear Reactions in Heavy Elements

A Data Handbook

By: V. M. Gorbachev,Y. S. Zamyatnin,A. A. Lbov

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Nuclear Reactions in Heavy Elements

A Data Handbook

By: V. M. Gorbachev,Y. S. Zamyatnin,A. A. Lbov

Nuclear Reactions in Heavy Elements: A Data Handbook focuses on the physical constants of the elements, the properties of isotopes, and data on radioactive decay. This book examines the methods for obtaining heavy elements. Organized into two parts encompassing nine chapters, this book begins with an overview of data on neutron cross-sections. This text then provides salient information on cross-sections of photo-reactions and of interactions of charged particles with nuclei. Other chapters consider some general characteristics of the fission process as well as the basic characteristics of spontaneous fission of heavy metals. This book discusses as well the basic characteristics of binary fission of heavy nuclei, including the energies and yields of fission elements, their distribution with regard to mass, and the range of fragments. The final chapter deals with data on various kinds of radiation accompanying the fission process. This book is a valuable resource for physicists and research workers.

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465

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Elsevier

Published Date

ISBN 10

1483279839

ISBN 13

9781483279831

Radiation Effects in Silicon Carbide

By: A.A. Lebedev

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Radiation Effects in Silicon Carbide

By: A.A. Lebedev

The book reviews the most interesting research concerning the radiation defects formed in 6H-, 4H-, and 3C-SiC under irradiation with electrons, neutrons, and some kinds of ions. The electrical parameters that make SiC a promising material for applications in modern electronics are discussed in detail. Specific features of the crystal structure of SiC are considered. It is shown that, when wide-bandgap semiconductors are studied, it is necessary to take into account the temperature dependence of the carrier removal rate, which is a standard parameter for determining the radiation hardness of semiconductors. The carrier removal rate values obtained by irradiation of various SiC polytypes with n- and p-type conductivity are analyzed in relation to the type and energy of the irradiating particles. The influence exerted by the energy of charged particles on how radiation defects are formed and conductivity is compensated in semiconductors under irradiation is analyzed. Furthermore, the possibility to produce controlled transformation of silicon carbide polytype is considered. The involvement of radiation defects in radiative and nonradiative recombination processes in SiC is analyzed. Data are also presented regarding the degradation of particular SiC electronic devices under the influence of radiation and a conclusion is made regarding the radiation resistance of SiC. Lastly, the radiation hardness of devices based on silicon and silicon carbide are compared.

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172

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Materials Research Forum LLC

Published Date

ISBN 10

1945291117

ISBN 13

9781945291111

Disorder and Order in Strongly Nonstoichiometric Compounds

Transition Metal Carbides, Nitrides and Oxides

By: A.I. Gusev,A.A. Rempel,A.J. Magerl

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Disorder and Order in Strongly Nonstoichiometric Compounds

Transition Metal Carbides, Nitrides and Oxides

By: A.I. Gusev,A.A. Rempel,A.J. Magerl

Deals with the influence of stoiciometry and order/disorder on materials properties. It summarizes the knowledge available in a comprehensive way.

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618

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Springer Science & Business Media

Published Date

ISBN 10

3662045826

ISBN 13

9783662045824

Modern Crystallography III

Crystal Growth

By: A.A. Chernov

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Modern Crystallography III

Crystal Growth

By: A.A. Chernov

Early in this century, the newly discovered x-ray diffraction by crystals made a complete change in crystallography and in the whole science of the atomic structure of matter, thus giving a new impetus to the development of solid-state physics. Crystallographic methods, pri marily x-ray diffraction analysis, penetrated into materials sciences, mol ecular physics, and chemistry, and also into many other branches of science. Later, electron and neutron diffraction structure analyses be came important since they not only complement x-ray data, but also supply new information on the atomic and the real structure of crystals. Electron microscopy and other modern methods of investigating mat ter-optical, electronic paramagnetic, nuclear magnetic, and other res onance techniques-yield a large amount of information on the atomic, electronic, and real crystal structures. Crystal physics has also undergone vigorous development. Many re markable phenomena have been discovered in crystals and then found various practical applications. Other important factors promoting the development of crystallog raphy were the elaboration of the theory of crystal growth (which brought crystallography closer to thermodynamics and physical chem istry) and the development of the various methods of growing synthetic crystals dictated by practical needs. Man-made crystals became increas ingly important for physical investigations, and they rapidly invaded technology. The production . of synthetic crystals made a tremendous impact on the traditional branches: the mechanical treatment of mate rials, precision instrument making, and the jewelry industry.

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538

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Springer Science & Business Media

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ISBN 10

3642818358

ISBN 13

9783642818356

G-Convergence and Homogenization of Nonlinear Partial Differential Operators

By: A.A. Pankov

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G-Convergence and Homogenization of Nonlinear Partial Differential Operators

By: A.A. Pankov

Various applications of the homogenization theory of partial differential equations resulted in the further development of this branch of mathematics, attracting an increasing interest of both mathematicians and experts in other fields. In general, the theory deals with the following: Let Ak be a sequence of differential operators, linear or nonlinepr. We want to examine the asymptotic behaviour of solutions uk to the equation Auk = f, as k ~ =, provided coefficients of Ak contain rapid oscillations. This is the case, e. g. when the coefficients are of the form a(e/x), where the function a(y) is periodic and ek ~ 0 ask~=. Of course, of oscillation, like almost periodic or random homogeneous, are of many other kinds interest as well. It seems a good idea to find a differential operator A such that uk ~ u, where u is a solution of the limit equation Au = f Such a limit operator is usually called the homogenized operator for the sequence Ak . Sometimes, the term "averaged" is used instead of "homogenized". Let us look more closely what kind of convergence one can expect for uk. Usually, we have some a priori bound for the solutions. However, due to the rapid oscillations of the coefficients, such a bound may be uniform with respect to k in the corresponding energy norm only. Therefore, we may have convergence of solutions only in the weak topology of the energy space.

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269

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Springer Science & Business Media

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ISBN 10

9401589577

ISBN 13

9789401589574

Blow-Up in Quasilinear Parabolic Equations

By: A. A. Samarskii,Victor a. Galaktionov,Sergey p. Kurdyumov,A. P. Mikhailov

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Blow-Up in Quasilinear Parabolic Equations

By: A. A. Samarskii,Victor a. Galaktionov,Sergey p. Kurdyumov,A. P. Mikhailov

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

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561

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110889862

ISBN 13

9783110889864

Pile Foundations for Buildings and Structures in Collapsible Soils

By: A.A. Grigorian

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Pile Foundations for Buildings and Structures in Collapsible Soils

By: A.A. Grigorian

A translation of a Russian study on pile foundation in collapsible soils, revised and updated for the 1995 English edition. The contents cover such topics as collapsible soils as basis for structures, and designing pile foundations for buildings and structures with collapsible soils.

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164

Publisher

Taylor & Francis

Published Date

ISBN 10

1351424319

ISBN 13

9781351424318

Advances in Stability Theory at the End of the 20th Century

By: A.A. Martynyuk

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Advances in Stability Theory at the End of the 20th Century

By: A.A. Martynyuk

This volume presents surveys and research papers on various aspects of modern stability theory, including discussions on modern applications of the theory, all contributed by experts in the field. The volume consists of four sections that explore the following directions in the development of stability theory: progress in stability theory by first

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366

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CRC Press

Published Date

ISBN 10

0203166574

ISBN 13

9780203166574

Applied Integral Transforms

By: M. Ya. Antimirov,A. A. Kolyshkin,Remi Vaillancourt

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Applied Integral Transforms

By: M. Ya. Antimirov,A. A. Kolyshkin,Remi Vaillancourt

This book constructs the kernels of integral transforms by solving the generalized Sturm-Liouville problems associated with the partial differential equations at hand. In the first part of the book, the authors construct the kernels and use them to solve elementary problems of mathematical physics. This part requires little mathematical background and provides an introduction to the subject of integral transforms as it proceeds mainly by examples and includes a variety of exercises. In the second part of the book, the method of integral transforms is used to solve modern applied problems in convective stability, temperature fields in oil strata, and eddy-current testing. The choice of topics reflects the authors' research experience and involvement in industrial applications. The first part of the book is accessible to undergraduates, while the second part is aimed at graduate students and researchers. Because of the applications, the book will interest engineers (especially petroleum engineers) and physicists.

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288

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American Mathematical Soc.

Published Date

ISBN 10

0821843141

ISBN 13

9780821843147

Captured Soviet Generals

The Fate of Soviet Generals Captured in Combat 1941-45

By: A.A. Maslov

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Captured Soviet Generals

The Fate of Soviet Generals Captured in Combat 1941-45

By: A.A. Maslov

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346

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Routledge

Published Date

ISBN 10

1135274266

ISBN 13

9781135274269

Daily Reflections

A Book of Reflections by A.A. Members for A.A. Members

By: A a,Aa World Services Inc

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Daily Reflections

A Book of Reflections by A.A. Members for A.A. Members

By: A a,Aa World Services Inc

This is a book of reflections by A.A. members for A.A. members. It was first published in 1990 to fulfill a long-felt need within the Fellowship for a collection of reflections that moves through the calendar year--one day at a time. Each page contains a reflection on a quotation from A.A. Conference-approved literature, such as Alcoholics Anonymous, Twelve Steps and Twelve Traditions, As Bill Sees It and other books. These reflections were submitted by members of the A.A. Fellowship who were not professional writers, nor did they speak for A.A. but only for themselves, from their own experiences in sobriety. Thus the book offers sharing, day by day, from a broad cross section of members, which focuses on the Three Legacies of Alcoholics Anonymous: Recovery, Unity and Service. Daily Reflections has proved to be a popular book that aids individuals in their practice of daily meditation and provides inspiration to group discussions even as it presents an introduction for some to A.A. literature as a whole.

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384

Published Date

ISBN 10

1684113709

ISBN 13

9781684113705

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