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Special Functions In Physics With Matlab
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Book Synopsis Special Functions in Physics with MATLAB by : Wolfgang Schweizer
Download or read book Special Functions in Physics with MATLAB written by Wolfgang Schweizer and published by Springer Nature. This book was released on 2021-03-25 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Differential Equations with MATLAB by : Mark McKibben
Download or read book Differential Equations with MATLAB written by Mark McKibben and published by CRC Press. This book was released on 2014-09-08 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique textbook for an undergraduate course on mathematical modeling, Differential Equations with MATLAB: Exploration, Applications, and Theory provides students with an understanding of the practical and theoretical aspects of mathematical models involving ordinary and partial differential equations (ODEs and PDEs). The text presents a unifying picture inherent to the study and analysis of more than 20 distinct models spanning disciplines such as physics, engineering, and finance. The first part of the book presents systems of linear ODEs. The text develops mathematical models from ten disparate fields, including pharmacokinetics, chemistry, classical mechanics, neural networks, physiology, and electrical circuits. Focusing on linear PDEs, the second part covers PDEs that arise in the mathematical modeling of phenomena in ten other areas, including heat conduction, wave propagation, fluid flow through fissured rocks, pattern formation, and financial mathematics. The authors engage students by posing questions of all types throughout, including verifying details, proving conjectures of actual results, analyzing broad strokes that occur within the development of the theory, and applying the theory to specific models. The authors’ accessible style encourages students to actively work through the material and answer these questions. In addition, the extensive use of MATLAB® GUIs allows students to discover patterns and make conjectures.
Book Synopsis Introductory Solid State Physics with MATLAB Applications by : Javier E. Hasbun
Download or read book Introductory Solid State Physics with MATLAB Applications written by Javier E. Hasbun and published by CRC Press. This book was released on 2019-10-08 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid state physics, the study and prediction of the fundamental physical properties of materials, forms the backbone of modern materials science and has many technological applications. The unique feature of this text is the MATLAB®-based computational approach with several numerical techniques and simulation methods included. This is highly effective in addressing the need for visualization and a direct hands-on approach in learning the theoretical concepts of solid state physics. The code is freely available to all textbook users. Additional Features: Uses the pedagogical tools of computational physics that have become important in enhancing physics teaching of advanced subjects such as solid state physics Adds visualization and simulation to the subject in a way that enables students to participate actively in a hand-on approach Covers the basic concepts of solid state physics and provides students with a deeper understanding of the subject matter Provides unique example exercises throughout the text Obtains mathematical analytical solutions Carries out illustrations of important formulae results using programming scripts that students can run on their own and reproduce graphs and/or simulations Helps students visualize solid state processes and apply certain numerical techniques using MATLAB®, making the process of learning solid state physics much more effective Reinforces the examples discussed within the chapters through the use of end-of-chapter exercises Includes simple analytical and numerical examples to more challenging ones, as well as computational problems with the opportunity to run codes, create new ones, or modify existing ones to solve problems or reproduce certain results
Book Synopsis Special Functions of Mathematical Physics by : Arnold F. Nikiforov
Download or read book Special Functions of Mathematical Physics written by Arnold F. Nikiforov and published by . This book was released on 1988 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Methods of Applied Mathematics with a MATLAB Overview by : Jon H. Davis
Download or read book Methods of Applied Mathematics with a MATLAB Overview written by Jon H. Davis and published by Springer Science & Business Media. This book was released on 2004 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.
Book Synopsis MATLAB with Applications to Engineering, Physics and Finance by : David Baez-Lopez
Download or read book MATLAB with Applications to Engineering, Physics and Finance written by David Baez-Lopez and published by CRC Press. This book was released on 2009-10-28 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master the tools of MATLAB through hands-on examples Shows How to Solve Math Problems Using MATLAB The mathematical software MATLAB® integrates computation, visualization, and programming to produce a powerful tool for a number of different tasks in mathematics. Focusing on the MATLAB toolboxes especially dedicated to science, finance, and engineering, MATLAB® with Applications to Engineering, Physics and Finance explains how to perform complex mathematical tasks with relatively simple programs. This versatile book is accessible enough for novices and users with only a fundamental knowledge of MATLAB, yet covers many sophisticated concepts to make it helpful for experienced users as well. The author first introduces the basics of MATLAB, describing simple functions such as differentiation, integration, and plotting. He then addresses advanced topics, including programming, producing executables, publishing results directly from MATLAB programs, and creating graphical user interfaces. The text also presents examples of Simulink® that highlight the advantages of using this software package for system modeling and simulation. The applications-dedicated chapters at the end of the book explore the use of MATLAB in digital signal processing, chemical and food engineering, astronomy, optics, financial derivatives, and much more.
Book Synopsis Special Functions of Mathematical Physics by : NIKIFOROV
Download or read book Special Functions of Mathematical Physics written by NIKIFOROV and published by Birkhäuser. This book was released on 2013-04-27 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis An Introduction to Partial Differential Equations with MATLAB, Second Edition by : Matthew P. Coleman
Download or read book An Introduction to Partial Differential Equations with MATLAB, Second Edition written by Matthew P. Coleman and published by CRC Press. This book was released on 2013-06-26 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Spectral Methods in MATLAB by : Lloyd N. Trefethen
Download or read book Spectral Methods in MATLAB written by Lloyd N. Trefethen and published by SIAM. This book was released on 2000-07-01 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Book Synopsis Special Functions, $q$-Series and Related Topics by : Mourad Ismail
Download or read book Special Functions, $q$-Series and Related Topics written by Mourad Ismail and published by American Mathematical Soc.. This book was released on 1997 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis One Hundred Physics Visualizations Using MATLAB by : Dan Green
Download or read book One Hundred Physics Visualizations Using MATLAB written by Dan Green and published by World Scientific. This book was released on 2014 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. "
Book Synopsis Physical Modeling in MATLAB by : Allen Downey
Download or read book Physical Modeling in MATLAB written by Allen Downey and published by Lulu.com. This book was released on 2008-01-01 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory textbook for people who have not programmed before. Covers basic MATLAB programming with emphasis on modeling and simulation of physical systems.
Book Synopsis Scientific Computing with MATLAB and Octave by : Alfio Quarteroni
Download or read book Scientific Computing with MATLAB and Octave written by Alfio Quarteroni and published by Springer Science & Business Media. This book was released on 2010-05-30 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis More Physics with MATLAB by : Dan Green
Download or read book More Physics with MATLAB written by Dan Green and published by World Scientific Publishing Company. This book was released on 2015-03-24 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text continues the exploration of the use of MATLAB tools and features in visualizing physical processes. The symbolic math packages are important in solving those problems which are amenable to closed form solution, while the numerical packages are used for the remaining problems. The results for the solutions use the MATLAB graphics packages to help visualize the properties of the solutions. User dialogues are designed to allow users to change the input parameters in order to see how the dynamics of the solutions depends on the parameters of the specific problem. In particular movies are used to display the dynamical evolution of solutions in time.
Book Synopsis The Matlab® 5 Handbook by : Darren Redfern
Download or read book The Matlab® 5 Handbook written by Darren Redfern and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: An easily accessible reference tool and first resource, providing the reader with a definitive listing of each Matlab element, in both the standard library and the applications toolboxes, together with a brief, yet precise description of its working. It also contains a well-structured organisation of the available Matlab elements into logical subject areas, where each relevant element is described in terms of its connection to the subject area as a whole. This is backed by a practical introduction to each subject area and to Matlab programming as a whole, as well as cross-references to the most popular Matlab manuals and application texts.
Book Synopsis Advanced Mathematics and Mechanics Applications Using MATLAB by : David Halpern
Download or read book Advanced Mathematics and Mechanics Applications Using MATLAB written by David Halpern and published by CRC Press. This book was released on 2002-09-17 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its introduction in 1984, MATLAB's ever-growing popularity and functionality have secured its position as an industry-standard software package. The user-friendly, interactive environment of MATLAB 6.x, which includes a high-level programming language, versatile graphics capabilities, and abundance of intrinsic functions, helps users focus on
Book Synopsis A Course in Mathematical Methods for Physicists by : Russell L. Herman
Download or read book A Course in Mathematical Methods for Physicists written by Russell L. Herman and published by CRC Press. This book was released on 2013-12-04 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
