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Titlebook: Selected Special Functions for Fundamental Physics; Valeriya Akhmedova,Emil T. Akhmedov Book 2019 The Author(s), under exclusive license t

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发表于 2025-3-21 19:01:23 | 显示全部楼层 |阅读模式
书目名称Selected Special Functions for Fundamental Physics
编辑Valeriya Akhmedova,Emil T. Akhmedov
视频video
概述Explains how the methods work on concrete examples rather than providing general theorems.Provides applications of special functions for each chapter.Enable readers to work with special functions and
丛书名称SpringerBriefs in Physics
图书封面Titlebook: Selected Special Functions for Fundamental Physics;  Valeriya Akhmedova,Emil T. Akhmedov Book 2019 The Author(s), under exclusive license t
描述.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 solvedifferential equations and calculate integrals. .
出版日期Book 2019
关键词Green‘s Function; Mathematical Methods of Quantum Theory; Complex Analysis for Physicists; Approximatio
版次1
doihttps://doi.org/10.1007/978-3-030-35089-5
isbn_softcover978-3-030-35088-8
isbn_ebook978-3-030-35089-5Series ISSN 2191-5423 Series E-ISSN 2191-5431
issn_series 2191-5423
copyrightThe Author(s), under exclusive license to Springer Nature Switzerland AG 2019
The information of publication is updating

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发表于 2025-3-21 21:23:14 | 显示全部楼层
Selected Special Functions for Fundamental Physics978-3-030-35089-5Series ISSN 2191-5423 Series E-ISSN 2191-5431
发表于 2025-3-22 02:31:03 | 显示全部楼层
-Function,This section is recorded by MIPT students Petrova Elena and Ivanenko Aleksei. It is about the properties of the .-function, which are used in the other sections of this book.
发表于 2025-3-22 08:12:19 | 显示全部楼层
发表于 2025-3-22 11:00:09 | 显示全部楼层
Hermite Polynomials,This section is recorded by MIPT student Sharipov Rustem. It contains the derivation of the properties of the Hermite polynomials and their application to quantum mechanics and representation theory.
发表于 2025-3-22 13:33:42 | 显示全部楼层
Legendre Polynomials and Spherical Functions,This section is recorded by MIPT student Tselousov Nikita. It contains the derivation of various properties of the Legendre polynomials and of various relative functions. It also describes the relation of these functions to the representation theory and quantum mechanics.
发表于 2025-3-22 20:10:23 | 显示全部楼层
发表于 2025-3-23 00:56:28 | 显示全部楼层
Degenerate Hypergeometric Function,This section is recorded by MIPT student Aleksandr Artemev. It contains the derivation of various properties of the degenerate hypergeometric function. It also contains the derivation of the relations of this function to other special functions.
发表于 2025-3-23 03:41:03 | 显示全部楼层
-Functions,A part of this section is recorded by MIPT student Anton Piankov. It contains the derivation of various properties of the .-functions. It also contains an elementary description of the relation of these functions to the Riemann geometry.
发表于 2025-3-23 06:43:54 | 显示全部楼层
Valeriya Akhmedova,Emil T. AkhmedovExplains how the methods work on concrete examples rather than providing general theorems.Provides applications of special functions for each chapter.Enable readers to work with special functions and
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