Hattori Harumi Partial Differential Equations 9789814407564

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Автор: Hattori Harumi
Название: Partial Differential Equations
ISBN: 9789814407564
Издательство: World Scientific Publishing
Классификация:

Основы высшей математики и математический анализ

ISBN-10: 9814407569
Обложка/Формат: Hardback
Страницы: 392
Вес: 0.68 кг.
Дата издания: 05.03.2013
Серия: Mathematics
Язык: English
Размер: 231 x 155 x 25
Читательская аудитория: College/higher education
Ключевые слова: Differential calculus & equations, MATHEMATICS / Applied,MATHEMATICS / Differential Equations / Partial,MATHEMATICS / Study & Teaching
Поставляется из: Англии
Описание: This volume is an introductory level textbook for partial differential equations (PDEs) and suitable for a one-semester undergraduate level or two-semester graduate level course in PDEs or applied mathematics. Chapters One to Five are organized according to the equations and the basic PDEs are introduced in an easy to understand manner. They include the first-order equations and the three fundamental second-order equations, i.e. the heat, wave and Laplace equations. Through these equations we learn the types of problems, how we pose the problems, and the methods of solutions such as the separation of variables and the method of characteristics. The modeling aspects are explained as well. The methods introduced in earlier chapters are developed further in Chapters Six to Twelve. They include the Fourier series, the Fourier and the Laplace transforms, and the Greens functions. The equations in higher dimensions are also discussed in detail.This volume is application-oriented and rich in examples. Going through these examples, the reader is able to easily grasp the basics of PDEs.

Partial Differential Equations, Hattori Harumi