Vladimir E. Nazaikinskii's Books

Handbook of Linear Partial Differential Equations for Engineers and Scientists

By: Andrei D. Polyanin,Vladimir E. Nazaikinskii

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Handbook of Linear Partial Differential Equations for Engineers and Scientists

By: Andrei D. Polyanin,Vladimir E. Nazaikinskii

This second edition contains nearly 4,000 linear partial differential equations (PDEs) with solutions as well as analytical, symbolic, and numerical methods for solving linear equations. First-, second-, third-, fourth-, and higher-order linear equations and systems of coupled equations are considered. Equations of parabolic, mixed, and other types are discussed. New linear equations, exact solutions, transformations, and methods are described. Formulas for effective construction of solutions are given. Boundary value and eigenvalue problems are addressed. Symbolic and numerical methods for solving PDEs with Maple, Mathematica, and MATLAB are explored.

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Page Count

1623

Publisher

CRC Press

Published Date

ISBN 10

1466581492

ISBN 13

9781466581494

Quantization Methods in the Theory of Differential Equations

By: Vladimir E. Nazaikinskii,B.-W. Schulze,Boris Yu. Sternin

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Quantization Methods in the Theory of Differential Equations

By: Vladimir E. Nazaikinskii,B.-W. Schulze,Boris Yu. Sternin

This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations. It focuses on quantization of the corresponding objects (states, observables and canonical transformations) in the phase space. The quantization of all three types of classical objects is carried out in a unified way with the use of a special integral transform. This book covers recent as well as established results, treated within the framework of a universal approach. It also includes applications and provides a useful reference text for graduate and research-level readers.

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372

Publisher

CRC Press

Published Date

ISBN 10

0415273641

ISBN 13

9780415273640

Elliptic Theory on Singular Manifolds

By: Vladimir E. Nazaikinskii,Anton Yu. Savin,Bert-Wolfgang Schulze,Boris Yu. Sternin

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Elliptic Theory on Singular Manifolds

By: Vladimir E. Nazaikinskii,Anton Yu. Savin,Bert-Wolfgang Schulze,Boris Yu. Sternin

The analysis and topology of elliptic operators on manifolds with singularities are much more complicated than in the smooth case and require completely new mathematical notions and theories. While there has recently been much progress in the field, many of these results have remained scattered in journals and preprints. Starting from an ele

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372

Publisher

CRC Press

Published Date

ISBN 10

1420034979

ISBN 13

9781420034974

Contact Geometry and Linear Differential Equations

By: Vladimir E. Nazaikinskii,Victor E. Shatalov,Boris Yu. Sternin

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Contact Geometry and Linear Differential Equations

By: Vladimir E. Nazaikinskii,Victor E. Shatalov,Boris Yu. Sternin

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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Page Count

229

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110873109

ISBN 13

9783110873108

Methods of Noncommutative Analysis

Theory and Applications

By: Vladimir E. Nazaikinskii,Victor E. Shatalov,Boris Yu. Sternin

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Methods of Noncommutative Analysis

Theory and Applications

By: Vladimir E. Nazaikinskii,Victor E. Shatalov,Boris Yu. Sternin

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 Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic Models for Fractional Calculus, second edition (2018) 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) Kezheng Li, Group Schemes and Their Actions (2019; together with Tsinghua University Press) 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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Page Count

385

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110813548

ISBN 13

9783110813548

Elliptic Theory and Noncommutative Geometry

Nonlocal Elliptic Operators

By: Vladimir E. Nazaykinskiy,A. Yu. Savin,B. Yu. Sternin

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Elliptic Theory and Noncommutative Geometry

Nonlocal Elliptic Operators

By: Vladimir E. Nazaykinskiy,A. Yu. Savin,B. Yu. Sternin

This comprehensive yet concise book deals with nonlocal elliptic differential operators. These are operators whose coefficients involve shifts generated by diffeomorphisms of the manifold on which the operators are defined. This is the first book featuring a consistent application of methods of noncommutative geometry to the index problem in the theory of nonlocal elliptic operators. To make the book self-contained, the authors have included necessary geometric material.

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Page Count

224

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764387750

ISBN 13

9783764387754

Book's by Vladimir E. Nazaikinskii

Handbook of Linear Partial Differential Equations for Engineers and Scientists

Handbook of Linear Partial Differential Equations for Engineers and Scientists

Quantization Methods in the Theory of Differential Equations

Quantization Methods in the Theory of Differential Equations

Elliptic Theory on Singular Manifolds

Elliptic Theory on Singular Manifolds

Contact Geometry and Linear Differential Equations

Contact Geometry and Linear Differential Equations

Methods of Noncommutative Analysis

Methods of Noncommutative Analysis

Elliptic Theory and Noncommutative Geometry

Elliptic Theory and Noncommutative Geometry

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