Special Functions In Physics With Matlab


Special Functions In Physics With Matlab
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Special Functions In Physics With Matlab


Special Functions In Physics With Matlab
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Author : Wolfgang Schweizer
language : en
Publisher: Springer Nature
Release Date : 2021-03-25

Special Functions In Physics With Matlab written by Wolfgang Schweizer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-25 with Science categories.


This handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with additional numerical hints for efficient computation, which are useful to anyone who needs to program with other programming languages as well. The book comes with MATLAB-based programs for each of these functions and a detailed html-based documentation. Some of the explained functions are: Gamma and Beta functions; Legendre functions, which are linked to quantum mechanics and electrodynamics; Bessel functions; hypergeometric functions, which play an important role in mathematical physics; orthogonal polynomials, which are largely used in computational physics; and Riemann zeta functions, which play an important role, e.g., in quantum chaos or string theory. The book’s primary audience are scientists, professionals working in research areas of industries, and advanced students in physics, applied mathematics, and engineering.



Special Functions Of Mathematical Physics


Special Functions Of Mathematical Physics
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Author : NIKIFOROV
language : en
Publisher: Birkhäuser
Release Date : 2013-04-27

Special Functions Of Mathematical Physics written by NIKIFOROV and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-27 with Mathematics categories.


With students of Physics chiefly in mind, we have collected the material on special functions that is most important in mathematical physics and quan tum mechanics. We have not attempted to provide the most extensive collec tion possible of information about special functions, but have set ourselves the task of finding an exposition which, based on a unified approach, ensures the possibility of applying the theory in other natural sciences, since it pro vides a simple and effective method for the independent solution of problems that arise in practice in physics, engineering and mathematics. For the American edition we have been able to improve a number of proofs; in particular, we have given a new proof of the basic theorem (§3). This is the fundamental theorem of the book; it has now been extended to cover difference equations of hypergeometric type (§§12, 13). Several sections have been simplified and contain new material. We believe that this is the first time that the theory of classical or thogonal polynomials of a discrete variable on both uniform and nonuniform lattices has been given such a coherent presentation, together with its various applications in physics.



Special Functions Of Mathematical Physics


Special Functions Of Mathematical Physics
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Author : Arnold F. Nikiforov
language : en
Publisher:
Release Date : 1988

Special Functions Of Mathematical Physics written by Arnold F. Nikiforov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Functions, Special categories.




A Course In Mathematical Methods For Physicists


A Course In Mathematical Methods For Physicists
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Author : Russell L. Herman
language : en
Publisher: CRC Press
Release Date : 2013-12-04

A Course In Mathematical Methods For Physicists written by Russell L. Herman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-04 with Mathematics categories.


Based on the author’s junior-level undergraduate course, this introductory textbook is designed for a course in mathematical physics. Focusing on the physics of oscillations and waves, A Course in Mathematical Methods for Physicists helps students understand the mathematical techniques needed for their future studies in physics. It takes a bottom-up approach that emphasizes physical applications of the mathematics. The book offers: A quick review of mathematical prerequisites, proceeding to applications of differential equations and linear algebra Classroom-tested explanations of complex and Fourier analysis for trigonometric and special functions Coverage of vector analysis and curvilinear coordinates for solving higher dimensional problems Sections on nonlinear dynamics, variational calculus, numerical solutions of differential equations, and Green's functions



One Hundred Physics Visualizations Using Matlab


One Hundred Physics Visualizations Using Matlab
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Author : Dan Green
language : en
Publisher: World Scientific
Release Date : 2014

One Hundred Physics Visualizations Using Matlab written by Dan Green and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Science categories.


This book provides visualizations of many topics in general physics. The aim is to have an interactive MATLAB script wherein the user can vary parameters in a specific problem and then immediately see the outcome by way of dynamic movies of the response of the system in question. MATLAB tools are used throughout and the software scripts accompany the text in Symbolic Mathematics, Classical Mechanics, Electromagnetism, Waves and Optics, Gases and Fluid Flow, Quantum Mechanics, Special and General Relativity, and Astrophysics and Cosmology. The emphasis is on building up an intuition by running many different parametric choices chosen actively by the user and watching the subsequent behavior of the system. Physics books using MATLAB do not have the range or the intent of this text. They are rather steeped in technical detail. Symbolic math is used extensively and is integral to the aim of using MATLAB tools to accomplish the technical aspects of problem solving.Contents: Symbolic Mathematics and Math ToolsClassical MechanicsElectromagnetismWaves and OpticsGases and Fluid FlowQuantum MechanicsSpecial and General RelativityAstrophysics and Cosmology Readership: Graduate students and researchers in physics. "



Special Functions Q Series And Related Topics


Special Functions Q Series And Related Topics
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Author : Mourad Ismail
language : en
Publisher: American Mathematical Soc.
Release Date : 1997

Special Functions Q Series And Related Topics written by Mourad Ismail and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Functions, Special categories.


This book contains contributions from the proceedings at The Fields Institute workshop on Special Functions, q-Series and Related Topics that was held in June 1995. The articles cover areas from quantum groups and their representations, multivariate special functions, q-series, and symbolic algebra techniques as well as the traditional areas of single-variable special functions. The book contains both pure and applied topics and reflects recent trends of research in the various areas of special functions.



An Introduction To Partial Differential Equations With Matlab Second Edition


An Introduction To Partial Differential Equations With Matlab Second Edition
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Author : Matthew P. Coleman
language : en
Publisher: CRC Press
Release Date : 2013-06-26

An Introduction To Partial Differential Equations With Matlab Second Edition written by Matthew P. Coleman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-26 with Mathematics categories.


An Introduction to Partial Differential Equations with MATLAB®, Second Edition illustrates the usefulness of PDEs through numerous applications and helps students appreciate the beauty of the underlying mathematics. Updated throughout, this second edition of a bestseller shows students how PDEs can model diverse problems, including the flow of heat, the propagation of sound waves, the spread of algae along the ocean’s surface, the fluctuation in the price of a stock option, and the quantum mechanical behavior of a hydrogen atom. Suitable for a two-semester introduction to PDEs and Fourier series for mathematics, physics, and engineering students, the text teaches the equations based on method of solution. It provides both physical and mathematical motivation as much as possible. The author treats problems in one spatial dimension before dealing with those in higher dimensions. He covers PDEs on bounded domains and then on unbounded domains, introducing students to Fourier series early on in the text. Each chapter’s prelude explains what and why material is to be covered and considers the material in a historical setting. The text also contains many exercises, including standard ones and graphical problems using MATLAB. While the book can be used without MATLAB, instructors and students are encouraged to take advantage of MATLAB’s excellent graphics capabilities. The MATLAB code used to generate the tables and figures is available in an appendix and on the author’s website.



Selected Special Functions For Fundamental Physics


Selected Special Functions For Fundamental Physics
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Author : Valeriya Akhmedova
language : en
Publisher: Springer
Release Date : 2019-11-27

Selected Special Functions For Fundamental Physics written by Valeriya Akhmedova and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-27 with Science categories.


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.



Scientific Computing With Matlab And Octave


Scientific Computing With Matlab And Octave
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Author : Alfio Quarteroni
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-30

Scientific Computing With Matlab And Octave written by Alfio Quarteroni and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-30 with Mathematics categories.


Preface to the First Edition This textbook is an introduction to Scienti?c Computing. We will illustrate several numerical methods for the computer solution of c- tain classes of mathematical problems that cannot be faced by paper and pencil. We will show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of di?erential equations. With this aim, in Chapter 1 we will illustrate the rules of the game thatcomputersadoptwhenstoringandoperatingwith realandcomplex numbers, vectors and matrices. In order to make our presentation concrete and appealing we will 1 adopt the programming environment MATLAB as a faithful c- panion. We will gradually discover its principal commands, statements and constructs. We will show how to execute all the algorithms that we introduce throughout the book. This will enable us to furnish an - mediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. We will solve several problems that will be raisedthrough exercises and examples, often stemming from s- ci?c applications.



Special Functions Of Mathematical Physics And Chemistry


Special Functions Of Mathematical Physics And Chemistry
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Author : Ian Naismith Sneddon
language : en
Publisher:
Release Date : 1956

Special Functions Of Mathematical Physics And Chemistry written by Ian Naismith Sneddon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with Functions categories.