Books in Mathematical methods in physics

21-30 of 74 results in All results

Perspectives in Theoretical Physics

• 1st Edition
• November 13, 2012
• J. B. Sykes + 1 more
• L. P. Pitaevskii
• English
• eBook 978-0-08-098471-1

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Evgenii Mikhailovich Lifshitz is perhaps best known for his long association with his mentor Lev D Landau, with whom he co-wrote the classic Course of Theoretical Physics, but he was a noted and respected Soviet physicist in his own right. Born in the Ukraine to a scientific family, his long and distinguished career will be remembered for three things - his collaboration with Landau on the internationally acclaimed Course of Theoretical Physics, his work as editor of the Journal of Experimental and Theoretical Physics, and his scientific papers. As well as his work with Landau, E\M\Lifshitz collaborated with many noted Soviet scientists such as I\M\Khalatnikov, I\E\Dyzaloshinskii, V\V\Sudakov, V\A\Belinskii and the editor of this book, L\P\Pitaevskii. Many of the papers presented in this book include their contribution. Collected together they give a comprehensive and penetrating insight into the man and his work, clearly showing Lifshitz's contribution to physics and the influences on his work.

Mathematical methods in Nuclear reactor Dynamics

• 1st Edition
• November 12, 2012
• Ziya Akcasuh
• English
• eBook 978-0-323-14908-2

  9 7 8 - 0 - 3 2 3 - 1 4 9 0 8 - 2

Mathematical Methods in Nuclear Reactor Dynamics covers the practical and theoretical aspects of point-reactor kinetics and linear and nonlinear reactor dynamics. The book, which is a result of the lectures given at the University of Michigan, is composed of seven chapters. The opening chapter of the book describes various physical phenomena influencing the temporal behavior of neutrons to provide insights into the physics of reactor dynamics and the interrelationships between various diverse phenomena. The text then presents a set of equations, called point kinetic equation, which describes the time behavior of the total power generated in the medium. The book also provides a short discussion on Gyftopoulos modification and Becker’s formulation. The next chapters explore the exact methods for solving the feedback-free point kinetic equations for a number of reactivity insertions and the validity of the various approximate methods of solution. The book also examines the derivation of models for a certain reactor type and briefly discusses the validity of these models in certain cases against experimental data. A chapter focuses on a concise presentation of the stability theory of linear systems with feedback. Lastly, the concepts of stability in nonlinear reactor systems and the criteria for asymptotic stability in the large as well as in a finite domain of initial disturbances are covered in the concluding chapter. The text is an ideal source for nuclear engineers and for those who have adequate background in reactor physics and operational and applied mathematics.

Space Groups and Their Representations

• 1st Edition
• November 12, 2012
• Gertjan Koster
• English
• eBook 978-0-323-16117-6

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Space Groups and Their Representations focuses on the discussions on space groups and their corresponding numerical and analytical representations. Divided into six chapters, the book starts with the presentation of the nature and properties of space groups. This topic includes orthogonal transformations and Bravais lattices, such as cubic system, triclinic system, trigonal and hexagonal systems, monoclinic systems, and tetragonal systems. The book then proceeds with the discussion on the irreducible representations of space groups, and then covers the general theory, simplification, and introduction. Discussions on various examples of space groups are given in the third chapter. Numerical representations are provided to support the validity of the different space groups, including discussions on double groups. The book also points out that the irreducible representation of space groups and the application of representation theory to them manifest the latest developments on geometrical crystallography. The text is a vital source of data for scholars and readers who are interested to study space groups and crystallography.

Geometrical and Algebraic Aspects of Nonlinear Field Theory

• 1st Edition
• November 12, 2012
• S. de Filippo + 3 more
• English
• eBook 978-0-444-59871-4

  9 7 8 - 0 - 4 4 4 - 5 9 8 7 1 - 4

Experts in general relativity, particle physics and mathematical physics discuss aspects of their recent research. The main emphasis is on the geometrical and algebraic methods used in solving a wide range of problems.

Turbulence and Nonlinear Dynamics in MHD Flows

• 1st Edition
• November 12, 2012
• M. Meneguzzi + 2 more
• English
• eBook 978-0-444-59873-8

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Topics discussed at this international workshop include: magnetic fields in astrophysical flows, slow and fast dynamos, MHD turbulence in space plasmas and in the laboratory, exact solutions to MHD, topology and chaos in MHD, helicity and velocity-magnetic correlations, turbulent reconnection and non-magnetic flows.

Nonlinear Phenomena in Complex Systems

• 1st Edition
• November 12, 2012
• A.N. Proto
• English
• eBook 978-0-444-59875-2

  9 7 8 - 0 - 4 4 4 - 5 9 8 7 5 - 2

This book contains a thorough treatment of neural networks, cellular-automata and synergetics, in an attempt to provide three different approaches to nonlinear phenomena in complex systems. These topics are of major interest to physicists active in the fields of statistical mechanics and dynamical systems. They have been developed with a high degree of sophistication and include the refinements necessary to work with the complexity of real systems as well as the more recent research developments in these areas.

Nonlinear Phenomena in Fluids, Solids and other Complex Systems

• 1st Edition
• November 12, 2012
• P. Cordero + 1 more
• English
• eBook 978-0-444-59879-0

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This book contains short courses in current topics in nonlinear physics given by distinguished professionals in their fields. These include: nonlinear fluid dynamics, transition to turbulence, quantum hall effect, cellular automata and neural networks, phase transitions. These courses are up to date and are aimed at a wide audience, in particular to graduate students and researchers in the field of nonlinear physics.

Dimensionless Physical Quantities in Science and Engineering

• 1st Edition
• February 13, 2012
• Josef Kunes
• English
• Paperback 978-0-323-28236-9

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• eBook 978-0-12-391458-3

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Dimensionless quantities, such as π, e, and φ are used in mathematics, engineering, physics, and chemistry. In recent years the dimensionless groups, as demonstrated in detail here, have grown in significance and importance in contemporary mathematical and computer modeling as well as the traditional fields of physical modeling. This book offers the most comprehensive and up to date resource for dimensionless quantities, providing not only a summary of the quantities, but also a clarification of their physical principles, areas of use, and other specific properties across multiple relevant fields. Presenting the most complete and clearly explained single resource for dimensionless groups, this book will be essential for students and researchers working across the sciences.

Mathematical Methods for Physicists

• 7th Edition
• December 26, 2011
• George B. Arfken + 2 more
• English
• Hardback 978-0-12-384654-9

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• eBook 978-0-12-384655-6

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Now in its 7th edition, Mathematical Methods for Physicists continues to provide all the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. This bestselling text provides mathematical relations and their proofs essential to the study of physics and related fields. While retaining the key features of the 6th edition, the new edition provides a more careful balance of explanation, theory, and examples. Taking a problem-solving-skills approach to incorporating theorems with applications, the book's improved focus will help students succeed throughout their academic careers and well into their professions. Some notable enhancements include more refined and focused content in important topics, improved organization, updated notations, extensive explanations and intuitive exercise sets, a wider range of problem solutions, improvement in the placement, and a wider range of difficulty of exercises.

Mathematical Physics with Partial Differential Equations

• 1st Edition
• December 1, 2011
• James Kirkwood
• English
• eBook 978-0-12-386994-4

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Mathematical Physics with Partial Differential Equations is for advanced undergraduate and beginning graduate students taking a course on mathematical physics taught out of math departments. The text presents some of the most important topics and methods of mathematical physics. The premise is to study in detail the three most important partial differential equations in the field – the heat equation, the wave equation, and Laplace’s equation. The most common techniques of solving such equations are developed in this book, including Green’s functions, the Fourier transform, and the Laplace transform, which all have applications in mathematics and physics far beyond solving the above equations. The book’s focus is on both the equations and their methods of solution. Ordinary differential equations and PDEs are solved including Bessel Functions, making the book useful as a graduate level textbook. The book’s rigor supports the vital sophistication for someone wanting to continue further in areas of mathematical physics.