Essential Mathematics for the Physical Sciences, Volume 1: Homogenous Boundary Value Problems, Fourier Methods, and Special Functions, Borden Brett, Luscombe James
Описание: This completely revised edition provides a tour of the mathematical knowledge and techniques needed by students across the physical sciences. There are new chapters on probability and statistics and on inverse problems. It serves as a stand-alone text or as a source of exercises and examples to complement other textbooks.
Описание: There is only a very limited number of physical systems that can be exactly described in terms of simple analytic functions.
There are, however, a vast range of problems which are amenable to a computational approach. This book provides a concise, self-contained introduction to the basic numerical and analytic techniques, which form the foundations of the algorithms commonly employed to give a quantitative description of systems of genuine physical interest. The methods developed are applied to representative problems from classical and quantum physics.
Автор: Sujaul Chowdhury, Ponkog Kumar Das, Syed Badiuzzaman Faruque Название: Numerical Solutions of Boundary Value Problems with Finite Difference Method ISBN: 1643272810 ISBN-13(EAN): 9781643272818 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 9979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book contains an extensive illustration of use of finite difference method in solving the boundary value problem numerically. A wide class of differential equations has been numerically solved in this book. Starting with differential equations of elementary functions like hyperbolic, sine and cosine, we have solved those of special functions like Hermite, Laguerre and Legendre. Those of Airy function, of stationary localised wavepacket, of the quantum mechanical problem of a particle in a 1D box, and the polar equation of motion under gravitational interaction have also been solved. Mathematica 6.0 has been used to solve the system of linear equations that we encountered and to plot the numerical data. Comparison with known analytic solutions showed nearly perfect agreement in every case. On reading this book, readers will become adept in using the method.
Автор: Sujaul Chowdhury, Ponkog Kumar Das, Syed Badiuzzaman Faruque Название: Numerical Solutions of Boundary Value Problems with Finite Difference Method ISBN: 1643272772 ISBN-13(EAN): 9781643272771 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 6930.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book contains an extensive illustration of use of finite difference method in solving the boundary value problem numerically. A wide class of differential equations has been numerically solved in this book. Starting with differential equations of elementary functions like hyperbolic, sine and cosine, we have solved those of special functions like Hermite, Laguerre and Legendre. Those of Airy function, of stationary localised wavepacket, of the quantum mechanical problem of a particle in a 1D box, and the polar equation of motion under gravitational interaction have also been solved. Mathematica 6.0 has been used to solve the system of linear equations that we encountered and to plot the numerical data. Comparison with known analytic solutions showed nearly perfect agreement in every case. On reading this book, readers will become adept in using the method.
Описание: There is only a very limited number of physical systems that can be exactly described in terms of simple analytic functions.
There are, however, a vast range of problems which are amenable to a computational approach. This book provides a concise, self-contained introduction to the basic numerical and analytic techniques, which form the foundations of the algorithms commonly employed to give a quantitative description of systems of genuine physical interest. The methods developed are applied to representative problems from classical and quantum physics.
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.
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