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Author: Wolfgang Schweizer Publisher: Springer Nature ISBN: 3030642321 Category : Science Languages : en Pages : 282
Book Description
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.
Author: Wolfgang Schweizer Publisher: Springer Nature ISBN: 3030642321 Category : Science Languages : en Pages : 282
Book Description
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.
Author: NIKIFOROV Publisher: Birkhäuser ISBN: 9780817631833 Category : Mathematics Languages : en Pages : 427
Book Description
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.
Author: Matthew P. Coleman Publisher: CRC Press ISBN: 1439898464 Category : Mathematics Languages : en Pages : 685
Book Description
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.
Author: Mourad Ismail Publisher: American Mathematical Soc. ISBN: 082180524X Category : Functions, Special Languages : en Pages : 289
Book Description
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.
Author: Dan Green Publisher: World Scientific ISBN: 981451845X Category : Science Languages : en Pages : 312
Book Description
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. "
Author: Zhi Xu Wang Publisher: World Scientific ISBN: 9814507539 Category : Mathematics Languages : en Pages : 718
Book Description
In this book, expansions of functions in infinite series and infinite product and the asymptotic expansion of functions are discussed. This may be the best reference book on Special Functions.
Author: Dan Green Publisher: World Scientific Publishing Company ISBN: 9814623962 Category : Science Languages : en Pages : 328
Book Description
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.
Author: David Halpern Publisher: CRC Press ISBN: 1420035444 Category : Mathematics Languages : en Pages : 697
Book Description
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
Author: Wolfgang Schweizer
Author: Wolfgang Schweizer
Author: Arnold F. Nikiforov
Author: NIKIFOROV
Author: Matthew P. Coleman
Author: Mourad Ismail
Author: Dan Green
Author: Zhi Xu Wang
Author: Dan Green
Author: David Halpern
Author: Ian Naismith Sneddon