V.V. Trofimov's Books

Integrable Systems on Lie Algebras and Symmetric Spaces

By: A. T. Fomenko,V. V. Trofimov

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Integrable Systems on Lie Algebras and Symmetric Spaces

By: A. T. Fomenko,V. V. Trofimov

Second volume in the series, translated from the Russian, sets out new regular methods for realizing Hamilton's canonical equations in Lie algebras and symmetric spaces. Begins by constructing the algebraic embeddings in Lie algebras of Hamiltonian systems, going on to present effective methods for constructing complete sets of functions in involution on orbits of coadjoint representations of Lie groups. Ends with the proof of the full integrability of a wide range of many- parameter families of Hamiltonian systems that allow algebraicization. Annotation copyrighted by Book News, Inc., Portland, OR

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Page Count

316

Publisher

CRC Press

Published Date

ISBN 10

2881241700

ISBN 13

9782881241703

Tensor and Vector Analysis

Geometry, Mechanics and Physics

By: A.T. Fomenko,V.V. Trofimov,O V Manturnov

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Tensor and Vector Analysis

Geometry, Mechanics and Physics

By: A.T. Fomenko,V.V. Trofimov,O V Manturnov

Reflecting the significant contributions of Russian mathematicians to the field, this book contains a selection of papers on tensor and vector analysis. It is divided into three parts, covering Hamiltonian systems, Riemannian geometry and calculus of variations, and topology. The range of applications of these topics is very broad, as many modern geometrical problems recur across a wide range of fields, including mechanics and physics as well as mathematics. Many of the approaches to problems presented in this volume will be novel to the Western reader, although questions are of global interest. The main achievements of the Russian school are placed in the context of the development of each individual subject.

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Page Count

322

Publisher

CRC Press

Published Date

ISBN 10

9056990071

ISBN 13

9789056990077

Introduction to Geometry of Manifolds with Symmetry

By: V.V. Trofimov

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Introduction to Geometry of Manifolds with Symmetry

By: V.V. Trofimov

One ofthe most important features of the development of physical and mathematical sciences in the beginning of the 20th century was the demolition of prevailing views of the three-dimensional Euclidean space as the only possible mathematical description of real physical space. Apriorization of geometrical notions and identification of physical 3 space with its mathematical modellR were characteristic for these views. The discovery of non-Euclidean geometries led mathematicians to the understanding that Euclidean geometry is nothing more than one of many logically admissible geometrical systems. Relativity theory amended our understanding of the problem of space by amalgamating space and time into an integral four-dimensional manifold. One of the most important problems, lying at the crossroad of natural sciences and philosophy is the problem of the structure of the world as a whole. There are a lot of possibilities for the topology offour dimensional space-time, and at first sight a lot of possibilities arise in cosmology. In principle, not only can the global topology of the universe be complicated, but also smaller scale topological structures can be very nontrivial. One can imagine two "usual" spaces connected with a "throat", making the topology of the union complicated.

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Page Count

339

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401719616

ISBN 13

9789401719612

Soil Liquid Phase Composition

By: V.V. Snakin,A.A. Prisyazhnaya,E. Kovács-Láng

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Soil Liquid Phase Composition

By: V.V. Snakin,A.A. Prisyazhnaya,E. Kovács-Láng

Front Cover; Soil Liquid Phase Composition; Copyright Page; CONTENTS; INTRODUCTION; ACKNOWLEDGMENTS; CHAPTER 1. SOIL LIQUID PHASE AS A STRUCTURAL ELEMENT OF AN ECOSYSTEM; CHAPTER 2. SOIL LIQUID PHASE INVESTIGATION; CHAPTER 3. STUDY AREAS; CHAPTER 4. ENVIRONMENTAL IMPACT ON THE SOIL LIQUID PHASE; CHAPTER 5. SPATIAL AND TEMPORAL PROPERTIES OF SOIL LIQUID PHASE; CHAPTER 6. MATERIAL AND ENERGY EXCHANGE IN ECOSYSTEMS; CHAPTER 7. ENVIRONMENTAL PROCESSES AND SOIL LIQUID PHASE; SUMMARY; GLOSSARY; REFERENCES; CORRELATION BETWEEN SOIL NAMES; SUBJECT INDEX; AUTHOR INDEX.

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Page Count

334

Publisher

Elsevier

Published Date

ISBN 10

0444506756

ISBN 13

9780444506757

Fundamentals of Femtosecond Optics

By: S A Kozlov,V V Samartsev

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Fundamentals of Femtosecond Optics

By: S A Kozlov,V V Samartsev

Femtosecond optics involves the study of ultra-short pulses of light. Understanding the behaviour of these light pulses makes it possible to develop ultra-fast lasers with a wide range of applications in such areas as medical imaging, chemical analysis and micro-machining. Written by two leading experts in the field, this book reviews the theory of the interaction of femtosecond light pulses with matter, femtosecond lasers and laser systems, and the principles of femtosecond coherent spectroscopy of impurity amorphous media. - reviews the theory of the interaction of femtosecond light pulses with matter - Discusses femtosecond lasers and laser systems - Considers the principles of femtosecond coherent spectroscopy of impurity amorphous media

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Page Count

266

Publisher

Elsevier

Published Date

ISBN 10

1782421297

ISBN 13

9781782421290

High-brightness Metal Vapour Lasers

Volume I: Physical Fundamentals and Mathematical Models

By: V. M. Batenin,V. V. Buchanov,A. M. Boichenko,M. A. Kazaryan,I. I. Klimovskii,E. I. Molodykh

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High-brightness Metal Vapour Lasers

Volume I: Physical Fundamentals and Mathematical Models

By: V. M. Batenin,V. V. Buchanov,A. M. Boichenko,M. A. Kazaryan,I. I. Klimovskii,E. I. Molodykh

High brightness metal vapor lasers have become the most bright and powerful in the visible spectral range among all existing laser types, resulting in numerous applications ranging from purely fundamental research to practical application in large-scale commercial problems such as isotope selection. This book presents a full series of fundamental problems on the development of physical fundamentals and mathematical models for practical realization of a high-power laser radiation on self-contained transitions in metal atoms. It is the first fundamental review on physics and the technique of high-brightness metal vapor lasers.

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Page Count

542

Publisher

CRC Press

Published Date

ISBN 10

1482250055

ISBN 13

9781482250053

Integrable Systems on Lie Algebras and Symmetric Spaces

By: A. T. Fomenko,V. V. Trofimov

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Integrable Systems on Lie Algebras and Symmetric Spaces

By: A. T. Fomenko,V. V. Trofimov

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Page Count

316

Publisher

CRC Press

Published Date

ISBN 10

2881241700

ISBN 13

9782881241703

Dynamical Systems VII

Integrable Systems Nonholonomic Dynamical Systems

By: V.I. Arnol'd,S.P. Novikov

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Dynamical Systems VII

Integrable Systems Nonholonomic Dynamical Systems

By: V.I. Arnol'd,S.P. Novikov

A collection of five surveys on dynamical systems, indispensable for graduate students and researchers in mathematics and theoretical physics. Written in the modern language of differential geometry, the book covers all the new differential geometric and Lie-algebraic methods currently used in the theory of integrable systems.

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Page Count

346

Publisher

Springer Science & Business Media

Published Date

ISBN 10

366206796X

ISBN 13

9783662067963

Book's by V.V. Trofimov

Integrable Systems on Lie Algebras and Symmetric Spaces

Integrable Systems on Lie Algebras and Symmetric Spaces

Tensor and Vector Analysis

Tensor and Vector Analysis

Introduction to Geometry of Manifolds with Symmetry

Introduction to Geometry of Manifolds with Symmetry

Soil Liquid Phase Composition

Soil Liquid Phase Composition

Fundamentals of Femtosecond Optics

Fundamentals of Femtosecond Optics

High-brightness Metal Vapour Lasers

High-brightness Metal Vapour Lasers

Integrable Systems on Lie Algebras and Symmetric Spaces

Integrable Systems on Lie Algebras and Symmetric Spaces

Dynamical Systems VII

Dynamical Systems VII

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