Viktor L's Books

Infinite Dimensional Lie Superalgebras

By: Yuri Bahturin,Alexander V. Mikhalev,Viktor M. Petrogradsky,Mikhail V. Zaicev

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Infinite Dimensional Lie Superalgebras

By: Yuri Bahturin,Alexander V. Mikhalev,Viktor M. Petrogradsky,Mikhail V. Zaicev

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 Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

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261

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110851202

ISBN 13

9783110851205

Exploring Quantum Mechanics

A Collection of 700+ Solved Problems for Students, Lecturers, and Researchers

By: Viktor Mikhaĭlovich Galit︠s︡kiĭ,Boris Karnakov,Vladimir Ilʹich Kogan

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Exploring Quantum Mechanics

A Collection of 700+ Solved Problems for Students, Lecturers, and Researchers

By: Viktor Mikhaĭlovich Galit︠s︡kiĭ,Boris Karnakov,Vladimir Ilʹich Kogan

A unique resource on quantum physics that contains original problems with solutions that can be used by teachers and students of quantum mechanics at graduate and undergraduate level. Numerous tricks-of-the-trade in solving quantum physics problems are included which can also be used by professional researchers in all fields of modern physics.

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898

Publisher

Oxford University Press

Published Date

ISBN 10

0199232717

ISBN 13

9780199232710

Elements of Homology Theory

By: Viktor Vasilʹevich Prasolov

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Elements of Homology Theory

By: Viktor Vasilʹevich Prasolov

The book is a continuation of the previous book by the author (Elements of Combinatorial and Differential Topology, Graduate Studies in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples and applications. Then the Kolmogorov-Alexander multiplication in cohomology is introduced. A significant part of the book is devoted to applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. The later chapters are concerned with singular homology and cohomology, and Cech and de Rham cohomology. The book ends with various applications of homology to the topology of manifolds, some of which might be of interest to experts in the area. The book contains many problems; almost all of them are provided with hints or complete solutions.

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432

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821838121

ISBN 13

9780821838129

Elements of Combinatorial and Differential Topology

By: Viktor Vasilʹevich Prasolov

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Elements of Combinatorial and Differential Topology

By: Viktor Vasilʹevich Prasolov

Modern topology uses very diverse methods. This book is devoted largely to methods of combinatorial topology, which reduce the study of topological spaces to investigations of their partitions into elementary sets, and to methods of differential topology, which deal with smooth manifolds and smooth maps. Many topological problems can be solved by using either of these two kinds of methods, combinatorial or differential. In such cases, both approaches are discussed. One of the maingoals of this book is to advance as far as possible in the study of the properties of topological spaces (especially manifolds) without employing complicated techniques. This distinguishes it from the majority of other books on topology. The book contains many problems; almost all of them are suppliedwith hints or complete solutions.

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362

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American Mathematical Soc.

ISBN 10

0821883984

ISBN 13

9780821883983

Algebraic Theory of Quasivarieties

By: Viktor A. Gorbunov

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Algebraic Theory of Quasivarieties

By: Viktor A. Gorbunov

The theory of quasivarieties constitutes an independent direction in algebra and mathematical logic and specializes in a fragment of first-order logic-the so-called universal Horn logic. This treatise uniformly presents the principal directions of the theory from an effective algebraic approach developed by the author himself. A revolutionary exposition, this influential text contains a number of results never before published in book form, featuring in-depth commentary for applications of quasivarieties to graphs, convex geometries, and formal languages. Key features include coverage of the Birkhoff-Mal'tsev problem on the structure of lattices of quasivarieties, helpful exercises, and an extensive list of references.

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314

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0306110636

ISBN 13

9780306110634

The Physics of Communication

Proceedings of the XXII Solvay Conference on Physics : Delphi Lamia, Greece, 24-29 November 2001

By: Ioannis Antoniou,Viktor Antonovich Sadovnichi?,Hansjoachim Walther

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The Physics of Communication

Proceedings of the XXII Solvay Conference on Physics : Delphi Lamia, Greece, 24-29 November 2001

By: Ioannis Antoniou,Viktor Antonovich Sadovnichi?,Hansjoachim Walther

This volume presents the state of the art in the research on new possibilities for communication and computation based on quantum theory and nonlocality, as well as related directions and problems. It discusses challenging issues: decoherence and irreversibility; nonlocality and superluminosity; photonics; quantum information and communication; quantum computation.

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689

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World Scientific

Published Date

ISBN 10

9812704639

ISBN 13

9789812704634

Methods of Noncommutative Analysis

Theory and Applications

By: V. E. Nazaĭkinskiĭ,Viktor Evgenʹevich Shatalov

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Methods of Noncommutative Analysis

Theory and Applications

By: V. E. Nazaĭkinskiĭ,Viktor Evgenʹevich Shatalov

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures, and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational Models for Fractional Calculus, second edition (2020) Mariusz Lemańczyk, Ergodic Theory: Spectral Theory, Joinings, and Their Applications (2020) Marco Abate, Holomorphic Dynamics on Hyperbolic Complex Manifolds (2021) Miroslava Antić, Joeri Van der Veken, and Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds of Almost Complex Spaces and Almost Product Spaces (2021) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)

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388

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110146320

ISBN 13

9783110146325

Two-dimensional Manifolds of Bounded Curvature

By: Aleksandr Danilovich Aleksandrov,Viktor A. Zalgaller

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Two-dimensional Manifolds of Bounded Curvature

By: Aleksandr Danilovich Aleksandrov,Viktor A. Zalgaller

Proceedings and papers about in which the foundation of the intrinsic geometry of nonregular surfaces is developed.

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198

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821818767

ISBN 13

9780821818763

Geometric Inequalities

By: Yurii D. Burago,Viktor A. Zalgaller

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Geometric Inequalities

By: Yurii D. Burago,Viktor A. Zalgaller

A 1988 classic, covering Two-dimensional Surfaces; Domains on the Plane and on Surfaces; Brunn-Minkowski Inequality and Classical Isoperimetric Inequality; Isoperimetric Inequalities for Various Definitions of Area; and Inequalities Involving Mean Curvature.

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346

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662074419

ISBN 13

9783662074411

Valuation Theory and Its Applications, Volume II

By: Franz-Viktor Kuhlmann

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Valuation Theory and Its Applications, Volume II

By: Franz-Viktor Kuhlmann

This book is the second of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). It contains the most recent applications of valuation theory to a broad range of mathematical ideas. Valuation theory arose in the early part of the twentieth century in connection with number theory and continues to have many important applications to algebra, geometry, and analysis. The research and survey papers in this volume cover a variety of topics, including Galois theory, the Grunwald-Wang Theorem, algebraic geometry, resolution of singularities, curves over Prufer domains, model theory of valued fields and the Frobenius, Hardy fields, Hensel's Lemma, fixed point theorems, and computations in valued fields. It is suitable for graduate students and research mathematicians interested in algebra, algebraic geometry, number theory, and mathematical logic.

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473

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American Mathematical Soc.

Published Date

ISBN 10

0821832069

ISBN 13

9780821832066

Method of Difference Potentials and Its Applications

By: Viktor S. Ryaben'kii

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Method of Difference Potentials and Its Applications

By: Viktor S. Ryaben'kii

The first English edition of a well-known Russian monograph. This book presents the method of difference potentials first proposed by the author in 1969, and contains illustrative examples and new algorithms for solving applied problems of gas dynamics, diffraction, scattering theory, and active noise screening.

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568

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Springer Science & Business Media

Published Date

ISBN 10

3540426337

ISBN 13

9783540426332

Acousto-optic Correlators and Spectrum Analyzers

New Techniques for Signal Processing

By: Iurii Vasilevich Egorov,Kir Petrovich Naumov,Viktor Nikolaevich Ushakov

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Acousto-optic Correlators and Spectrum Analyzers

New Techniques for Signal Processing

By: Iurii Vasilevich Egorov,Kir Petrovich Naumov,Viktor Nikolaevich Ushakov

This volume aims to enhance the algorithms for acousto-optic correlative and spectral signal processing and extend their applications. The text assumes a basic familiarity with optical methods of information processing.

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190

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SPIE Press

Published Date

ISBN 10

0819422584

ISBN 13

9780819422583

Idempotent Mathematics and Mathematical Physics

International Workshop, February 3-10, 2003, Erwin Schrödinger International Institute for Mathematical Physics, Vienna, Austria

By: Grigoriĭ Lazarevich Litvinov,Viktor Pavlovich Maslov

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Idempotent Mathematics and Mathematical Physics

International Workshop, February 3-10, 2003, Erwin Schrödinger International Institute for Mathematical Physics, Vienna, Austria

By: Grigoriĭ Lazarevich Litvinov,Viktor Pavlovich Maslov

Idempotent mathematics is a rapidly developing new branch of the mathematical sciences that is closely related to mathematical physics. The existing literature on the subject is vast and includes numerous books and journal papers. A workshop was organized at the Erwin Schrodinger Institute for Mathematical Physics (Vienna) to give a snapshot of modern idempotent mathematics. This volume contains articles stemming from that event. Also included is an introductory paper by G. Litvinov and additional invited contributions. The resulting volume presents a comprehensive overview of the state of the art. It is suitable for graduate students and researchers interested in idempotent mathematics and tropical mathematics.

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378

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American Mathematical Soc.

Published Date

ISBN 10

0821835386

ISBN 13

9780821835388

Elements of Asymptotic Geometry

By: Sergei Buyalo,Viktor Schroeder

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Elements of Asymptotic Geometry

By: Sergei Buyalo,Viktor Schroeder

Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local geometry does not come into play. An important class of model spaces are the hyperbolic spaces (in the sense of Gromov), for which the asymptotic geometry is nicely encoded in the boundary at infinity. In the first part of this book, in analogy with the concepts of classical hyperbolic geometry, the authors provide a systematic account of the basic theory of Gromov hyperbolic spaces. These spaces have been studied extensively in the last twenty years and have found applications in group theory, geometric topology, Kleinian groups, as well as dynamics and rigidity theory. In the second part of the book, various aspects of the asymptotic geometry of arbitrary metric spaces are considered. It turns out that the boundary at infinity approach is not appropriate in the general case, but dimension theory proves useful for finding interesting results and applications. The text leads concisely to some central aspects of the theory. Each chapter concludes with a separate section containing supplementary results and bibliographical notes. Here the theory is also illustrated with numerous examples as well as relations to the neighboring fields of comparison geometry and geometric group theory. The book is based on lectures the authors presented at the Steklov Institute in St. Petersburg and the University of Zurich.

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220

Publisher

European Mathematical Society

Published Date

ISBN 10

3037190361

ISBN 13

9783037190364

Nonlinear Poisson Brackets

Geometry and Quantization

By: Mihail Vladimirovi_ Karasev,Viktor Pavlovi_ Maslov,American Mathematical Society

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Nonlinear Poisson Brackets

Geometry and Quantization

By: Mihail Vladimirovi_ Karasev,Viktor Pavlovi_ Maslov,American Mathematical Society

This book deals with two old mathematical problems. The first is the problem of constructing an analog of a Lie group for general nonlinear Poisson brackets. The second is the quantization problem for such brackets in the semiclassical approximation (which is the problem of exact quantization for the simplest classes of brackets). These problems are progressively coming to the fore in the modern theory of differential equations and quantum theory, since the approach based on constructions of algebras and Lie groups seems, in a certain sense, to be exhausted. The authors' main goal is to describe in detail the new objects that appear in the solution of these problems. Many ideas of algebra, modern differential geometry, algebraic topology, and operator theory are synthesized here. The authors prove all statements in detail, thus making the book accessible to graduate students.

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382

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821887963

ISBN 13

9780821887967

Grobner-shirshov Bases: Normal Forms, Combinatorial And Decision Problems In Algebra

By: Leonid Bokut,Yuqun Chen,Kyriakos Kalorkoti,Pavel Kolesnikov,Viktor E Lopatkin

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Grobner-shirshov Bases: Normal Forms, Combinatorial And Decision Problems In Algebra

By: Leonid Bokut,Yuqun Chen,Kyriakos Kalorkoti,Pavel Kolesnikov,Viktor E Lopatkin

The book is about (associative, Lie and other) algebras, groups, semigroups presented by generators and defining relations. They play a great role in modern mathematics. It is enough to mention the quantum groups and Hopf algebra theory, the Kac-Moody and Borcherds algebra theory, the braid groups and Hecke algebra theory, the Coxeter groups and semisimple Lie algebra theory, the plactic monoid theory. One of the main problems for such presentations is the problem of normal forms of their elements. Classical examples of such normal forms give the Poincaré-Birkhoff-Witt theorem for universal enveloping algebras and Artin-Markov normal form theorem for braid groups in Burau generators.What is now called Gröbner-Shirshov bases theory is a general approach to the problem. It was created by a Russian mathematician A I Shirshov (1921-1981) for Lie algebras (explicitly) and associative algebras (implicitly) in 1962. A few years later, H Hironaka created a theory of standard bases for topological commutative algebra and B Buchberger initiated this kind of theory for commutative algebras, the Gröbner basis theory. The Shirshov paper was largely unknown outside Russia. The book covers this gap in the modern mathematical literature. Now Gröbner-Shirshov bases method has many applications both for classical algebraic structures (associative, Lie algebra, groups, semigroups) and new structures (dialgebra, pre-Lie algebra, Rota-Baxter algebra, operads). This is a general and powerful method in algebra.

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308

Publisher

World Scientific

Published Date

ISBN 10

9814619507

ISBN 13

9789814619509

Knots, Links, Braids and 3-Manifolds

An Introduction to the New Invariants in Low-dimensional Topology

By: Viktor Vasilʹevich Prasolov,Alekseĭ Bronislavovich Sosinskiĭ

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Knots, Links, Braids and 3-Manifolds

An Introduction to the New Invariants in Low-dimensional Topology

By: Viktor Vasilʹevich Prasolov,Alekseĭ Bronislavovich Sosinskiĭ

This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants. The mathematical prerequisites are minimal compared to other monographs in this area. Numerous figures and problems make this book suitable as a graduate level course text or for self-study.

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250

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821808982

ISBN 13

9780821808986

Marine Power Plant

By: Zongming Yang,Huabing Wen,Xinglin Yang,Viktor Gorbov,Vira Mitienkova,Serhiy Serbin

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Marine Power Plant

By: Zongming Yang,Huabing Wen,Xinglin Yang,Viktor Gorbov,Vira Mitienkova,Serhiy Serbin

This book describes the history and development of marine power plant. Problems of arrangement, general construction and parameters of marine power plants of all types are considered. It also introduces different characteristics of each type of marine power plant, matching characteristic for diesel propulsion. The book gives a clear idea about different marine power engines, including working principle, structure and application. Readers will understand easily the power system for ships since there are a lot of illustrations and instructions for each of the equipment. This book is useful for students majoring in “marine engineering”, “energy and power engineering” and other related majors. It is also useful for operators of marine institution for learning main design and operation of ship plants.

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335

Publisher

Springer Nature

Published Date

ISBN 10

9813349352

ISBN 13

9789813349353

Physics, Chemistry and Applications of Nanostructures

Proceedings of the International Conference Nanomeeting--2011 : Reviews and Short Notes : Minsk, Belarus, 24-27 May 2011

By: Viktor Evgen?evich Borisenko,Sergei Vasil'evich Gaponenko,Valerij S. Gurin

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Physics, Chemistry and Applications of Nanostructures

Proceedings of the International Conference Nanomeeting--2011 : Reviews and Short Notes : Minsk, Belarus, 24-27 May 2011

By: Viktor Evgen?evich Borisenko,Sergei Vasil'evich Gaponenko,Valerij S. Gurin

This book presents invited reviews and original short notes of recent results obtained in studies concerning the fabrication and application of nanostructures, which hold great promise for the new generation of electronic and optoelectronic devices. Governing exciting and relatively new topics such as fast-progressing nanoelectronics and optoelectronics, molecular electronics and spintronics, nanophotonics, nanosensorics and nanobiology as well as nanotechnology and quantum processing of information, this book gives readers a more complete understanding of the practical uses of nanotechnology and nanostructures.

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656

Publisher

World Scientific

Published Date

ISBN 10

9814343897

ISBN 13

9789814343893

Molecular Evolution

By: Vadim A. Ratner,Andrey A. Zharkikh,Nikolay Kolchanov,Sergey N. Rodin,Viktor V. Solovyov,Andrey S. Antonov

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Molecular Evolution

By: Vadim A. Ratner,Andrey A. Zharkikh,Nikolay Kolchanov,Sergey N. Rodin,Viktor V. Solovyov,Andrey S. Antonov

In 1970, Manfred Eigen initiated the study of the origin of self-reproducing systems of macromolecules and their evolution. Large-scale nucleotide sequencing (with computer methods) was introduced from 1977. The authors of this book, the first edition of which appeared (in Russian) in 1985, have been engaged in the research of the evolution of molecular genetic regulatory systems ever since those pioneering years. The book considers many fundamental problems of molecular biology, evolution, molecular genetic organization, the structure and function of macromolecules, always with the underlying motive of developing a unified theory. It describes many original, theoretical results as well as computational methods.

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439

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662125307

ISBN 13

9783662125304

Problems in Quantum Mechanics and Field Theory with Mathematical Modelling

By: Aleksander V. Chichurin,Elena M. Ovsiyuk,Viktor M. Red’kov

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Problems in Quantum Mechanics and Field Theory with Mathematical Modelling

By: Aleksander V. Chichurin,Elena M. Ovsiyuk,Viktor M. Red’kov

In Problems in Quantum Mechanics and Field Theory with Mathematical Modelling, a number of exactly solvable problems in electrodynamics and in quantum-mechanics of particles with different spins are presented. The main topics covered include: the Cox scalar particle with intrinsic structure in presence of the magnetic field in the spaces of constant curvature, Euclid, Riemann, and Lobachevsky; Cox particle in the Coulomb field; tunneling effect through Schwarzschild barrier for a spin 1/2 particle; electromagnetic field in Schwarzschild space-time, the Majorana - Oppenheimer approach in electrodynamics; scalar particle with polarizability in the Coulomb field; Dirac particle in the Coulomb field on the background of hyperbolic Lobachevsky and spherical Riemann models; particle with spin 1 in the Coulomb field; geometrical modeling of the media in Maxwell electrodynamics; P-asymmetric equation for a spin 1/2 particle; fermion with two mass parameters in the Coulomb field; helicity operator for a spin 2 particle in presence of the magnetic field. The book will be of interest to researchers, and is accessible enough to serve as a self-study resources for courses at undergraduate and graduate levels.

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374

Publisher

CRC Press

Published Date

ISBN 10

1040127363

ISBN 13

9781040127360

Linear and Nonlinear Perturbations of the Operator Div

By: Viktor Grigorʹevich Osmolovskiĭ

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Linear and Nonlinear Perturbations of the Operator Div

By: Viktor Grigorʹevich Osmolovskiĭ

This book presents results onboundary-value problems for L and the theory of nonlinear perturbations of L. Specifically, necessary and sufficient solvability conditions in explicit form are found for various boundary-value problems for the operator L. an analog of the Weyl decomposition is proved.

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126

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821897748

ISBN 13

9780821897744

Commutative Harmonic Analysis II

By: Viktor Petrovich Khavin,Nikolaĭ Kapitonovich Nikolʹskiĭ

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Commutative Harmonic Analysis II

By: Viktor Petrovich Khavin,Nikolaĭ Kapitonovich Nikolʹskiĭ

Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with calculus. Created in the 18th and 19th centuries as a distinct mathematical discipline it continued to develop, conquering new unexpected areas and producing impressive applications to a multitude of problems. It is widely understood that the explanation of this miraculous power stems from group theoretic ideas underlying practically everything in harmonic analysis. This book is an unusual combination of the general and abstract group theoretic approach with a wealth of very concrete topics attractive to everybody interested in mathematics. Mathematical literature on harmonic analysis abounds in books of more or less abstract or concrete kind, but the lucky combination as in this volume can hardly be found.

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Page Count

340

Publisher

Springer Science & Business Media

Published Date

ISBN 10

354051998X

ISBN 13

9783540519980

Book's by Viktor L

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