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Selected Special Functions for Fundamental Physics, Valeriya Akhmedova; Emil T. Akhmedov


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Автор: Valeriya Akhmedova; Emil T. Akhmedov
Название:  Selected Special Functions for Fundamental Physics
ISBN: 9783030350888
Издательство: Springer
Классификация:

ISBN-10: 3030350886
Обложка/Формат: Soft cover
Страницы: 116
Вес: 0.21 кг.
Дата издания: 2019
Серия: SpringerBriefs in Physics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 20 illustrations, black and white; xi, 116 p. 20 illus.
Размер: 234 x 156 x 7
Читательская аудитория: Professional & vocational
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
This book presents calculation methods that are used in both mathematical and theoretical physics. These methods will allow readers to work with selected special functions and more generally with differential equations, which are the most frequently used in quantum mechanics, theory of relativity and quantum field theory. The authors explain various approximation methods used to solve differential equations and to estimate integrals. They also address the basics of the relations between differential equations, special functions and representation theory of some of the simplest algebras on the one hand, and fundamental physics on the other. Based on a seminar for graduate physics students, the book offers a compact and quick way to learn about special functions. To gain the most from it, readers should be familiar with the basics of calculus, linear algebra, and complex analysis, as well as the basic methods used to solve differential equations and calculate integrals.

Дополнительное описание: Introduction.- Gamma–function.- Riemann zeta–function.- Hermite polynomials.- Bessel functions.- Legendre polynomials and spherical functions.- Hypergeometric functions.- Degenerate hypergeometric function.- Theta–functions.



Special Functions in Physics with MATLAB

Автор: Schweizer Wolfgang
Название: Special Functions in Physics with MATLAB
ISBN: 3030642313 ISBN-13(EAN): 9783030642310
Издательство: Springer
Цена: 18167.00 р.
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Описание: This handbook focuses on special functions in physics in the real and complex domain. Some of the explained functions are: Gamma and Beta functions; hypergeometric functions, which play an important role in mathematical physics; and Riemann zeta functions, which play an important role, e.g., in quantum chaos or string theory.

Special Functions of Mathematical (Geo-)Physics

Автор: Willi Freeden; Martin Gutting
Название: Special Functions of Mathematical (Geo-)Physics
ISBN: 3034807740 ISBN-13(EAN): 9783034807746
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The topics covered in this inclusive text on geomathematics vary according to their measurement parameters and field characteristics, combining to provide mathematicians, physicists, and geoscientists with a potent special functions toolkit in problem-solving.

Quantum Theory of the Solid State: An Introduction

Автор: Kantorovich Lev
Название: Quantum Theory of the Solid State: An Introduction
ISBN: 1402021534 ISBN-13(EAN): 9781402021534
Издательство: Springer
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Цена: 18284.00 р.
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Описание: The book targets a broad readership. First of all, it targets young researchers (postgraduate students) in solid state physics (both physicists and theoretical chemists) as it contains a wide and comprehensive coverage of all important branches of the subject including an up-to-date survey of recent revolutionary advances in quantum mechanics which have made it possible not only to calculate many properties of molecules and solids in close agreement with experiment, but to make reliable predictions in cases when a direct experiment is not possible (e.g. the Earth core). Secondly, it should be a valuable asset to established researchers in the areas of materials science, solid-state physics and chemistry due to very detailed explanations of a wide range of phenomena ranging from symmetry, lattice vibrations, electronic structure and superconductivity to magnetic and dielectric properties. Rigour and detail in explaining complicated mathematical techniques and in providing derivations when talking of various physical concepts are essential for those who would like to really understand things they have never had a chance to. Because of that and of the fact that the book contains a lot of material from different areas of solid-state physics retold from a single viewpoint, it should be indispensable for lecturers. Not only a number of courses, both general and specialised, should be possible to set up, but these courses may also be of a different level of difficulty ranging from undergraduate, postgraduate and then to highly advanced ones. This is because of a clear marking system adopted in the book. Hence, it should also be useful for advanced third- and fourth-year undergraduate students.

Maximum Entropy, Information Without Probability and Complex Fractals

Автор: Guy Jumarie
Название: Maximum Entropy, Information Without Probability and Complex Fractals
ISBN: 0792363302 ISBN-13(EAN): 9780792363309
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Presents material on three topics, namely the amount of information involved in non-random functions, the amount of information involved in non-probabilistic square matrices (which are not quantum density matrices), and a model of complex-valued fractional Brownian motion of order n defined via random walks in the complex plane.

The problem of time :

Автор: Anderson, Edward.
Название: The problem of time :
ISBN: 331958846X ISBN-13(EAN): 9783319588469
Издательство: Springer
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Цена: 19564.00 р.
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Описание: geometrodynamical and loop quantum gravity approaches to quantum GR, quantum cosmology, supergravity and M-theory - are background independent in this sense.

Ettore Majorana: Unpublished Research Notes on Theoretical Physics

Автор: Salvatore Esposito; E. Recami; Alwyn van der Merwe
Название: Ettore Majorana: Unpublished Research Notes on Theoretical Physics
ISBN: 9048180732 ISBN-13(EAN): 9789048180738
Издательство: Springer
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Цена: 19589.00 р.
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Описание: The career of Ettore Majorana, who had an astounding talent for Physics, was cut short in 1938 when he mysteriously disappeared at the age of 32, leaving many unpublished works. This book makes these works accessible to the general audience.

Lectures on Selected Topics in Mathematical Physics

Автор: Schwalm A
Название: Lectures on Selected Topics in Mathematical Physics
ISBN: 1681741660 ISBN-13(EAN): 9781681741666
Издательство: Mare Nostrum (Eurospan)
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Цена: 5405.00 р.
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Описание: Offers a basic introduction to certain aspects of elliptic functions and elliptic integrals. The lectures contained in this text introduce the subject as a moderate extension of ordinary trigonometry in which the reference circle is replaced by an ellipse. This method depends upon fewer tools and has seemed less intimidating that other typical introductions to the subject.

Lectures on Selected Topics in Mathematical Physics: Elliptic Functions and Elliptic Integrals

Автор: Schwalm William a.
Название: Lectures on Selected Topics in Mathematical Physics: Elliptic Functions and Elliptic Integrals
ISBN: 1643278053 ISBN-13(EAN): 9781643278056
Издательство: Mare Nostrum (Eurospan)
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Цена: 15048.00 р.
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Описание: This volume is a basic introduction to certain aspects of elliptic functions and elliptic integrals. Primarily, the elliptic functions stand out as closed solutions to a class of physical and geometrical problems giving rise to nonlinear differential equations. While these nonlinear equations may not be the types of greatest interest currently, the fact that they are solvable exactly in terms of functions about which much is known makes up for this. The elliptic functions of Jacobi, or equivalently the Weierstrass elliptic functions, inhabit the literature on current problems in condensed matter and statistical physics, on solitons and conformal representations, and all sorts of famous problems in classical mechanics. The lectures on elliptic functions have evolved as part of the first semester of a course on theoretical and mathematical methods given to first and second year graduate students in physics and chemistry at the University of North Dakota. They are for graduate students or for researchers who want an elementary introduction to the subject that nevertheless leaves them with enough of the details to address real problems. The style is supposed to be informal. The intention is to introduce the subject as a moderate extension of ordinary trigonometry in which the reference circle is replaced by an ellipse. This entre depends upon fewer tools and has seemed less intimidating that other typical introductions to the subject that depend on some knowledge of complex variables. The first three lectures assume only calculus, including the chain rule and elementary knowledge of differential equations. In the later lectures, the complex analytic properties are introduced naturally so that a more complete study becomes possible.

Special Functions for Applied Scientists

Автор: A.M. Mathai; H.J. Haubold
Название: Special Functions for Applied Scientists
ISBN: 1441926100 ISBN-13(EAN): 9781441926104
Издательство: Springer
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Цена: 15672.00 р.
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Описание: This book, written by a highly distinguished author, provides the required mathematical tools for researchers active in the physical sciences. The book presents a full suit of elementary functions for scholars at PhD level. The opening chapter introduces elementary classical special functions.

Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics

Автор: Frank G. Garvan; Mourad E.H. Ismail
Название: Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics
ISBN: 1461379644 ISBN-13(EAN): 9781461379645
Издательство: Springer
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Цена: 19564.00 р.
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Описание: These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, 1999.

Essential Mathematics for the Physical Sciences, Volume 1: Homogenous Boundary Value Problems, Fourier Methods, and Special Functions

Автор: Brett Borden, James Luscombe
Название: Essential Mathematics for the Physical Sciences, Volume 1: Homogenous Boundary Value Problems, Fourier Methods, and Special Functions
ISBN: 1681744848 ISBN-13(EAN): 9781681744841
Издательство: Mare Nostrum (Eurospan)
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Цена: 11504.00 р.
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Описание: Physics is expressed in the language of mathematics; it is deeply ingrained in how physics is taught and how it`s practiced. A study of the mathematics used in science is thus asound intellectual investment for training as scientists and engineers. This first volume of two is centered on methods of solving partial differential equations (PDEs) and the special functions introduced.

Special Relativity and Quantum Theory

Автор: M. Noz; Young Suh Kim
Название: Special Relativity and Quantum Theory
ISBN: 9401078726 ISBN-13(EAN): 9789401078726
Издательство: Springer
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Цена: 27950.00 р.
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Описание: The original papers contained in this volume are useful as supplementary reading material for students in courses on group theory, relativistic quantum mechanics and quantum field theory, relativistic electrodynamics, general relativity, and elementary particle physics.


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