Arendt, Wolfgang Urban, Karsten Partial Differential Equations 9783031133787

Варианты приобретения

Цена: 6986.00р.
Кол-во:
Наличие: Поставка под заказ. Есть в наличии на складе поставщика.
Склад Америка: Есть
При оформлении заказа до: 2025-09-29
Ориентировочная дата поставки: начало Ноября
При условии наличия книги у поставщика.

Добавить в корзину

в Мои желания

Автор: Arendt, Wolfgang Urban, Karsten
Название: Partial Differential Equations
ISBN: 9783031133787
Издательство: Springer
Классификация:

Функциональный анализ и преобразования

Дифференциальное исчисление и дифференциальные уравнения

Вычислительная математика

ISBN-10: 3031133781
Обложка/Формат: Hardback
Страницы: 452
Вес: 0.88 кг.
Дата издания: 04.01.2023
Серия: Graduate texts in mathematics
Язык: English
Издание: 1st ed. 2023
Иллюстрации: 58 illustrations, black and white; xxiv, 452 p. 58 illus.
Размер: 242 x 162 x 33
Читательская аудитория: Professional & vocational
Подзаголовок: An introduction to analytical and numerical methods
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание: This textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from the physical sciences, engineering, and economics complete this integrated approach. A showcase of models begins the book, demonstrating how PDEs arise in practical problems that involve heat, vibration, fluid flow, and financial markets. Several important characterizing properties are used to classify mathematical similarities, then elementary methods are used to solve examples of hyperbolic, elliptic, and parabolic equations. From here, an accessible introduction to Hilbert spaces and the spectral theorem lay the foundation for advanced methods. Sobolev spaces are presented first in dimension one, before being extended to arbitrary dimension for the study of elliptic equations. An extensive chapter on numerical methods focuses on finite difference and finite element methods. Computer-aided calculation with Maple™ completes the book. Throughout, three fundamental examples are studied with different tools: Poisson’s equation, the heat equation, and the wave equation on Euclidean domains. The Black–Scholes equation from mathematical finance is one of several opportunities for extension. Partial Differential Equations offers an innovative introduction for students new to the area. Analytical and numerical tools combine with modeling to form a versatile toolbox for further study in pure or applied mathematics. Illuminating illustrations and engaging exercises accompany the text throughout. Courses in real analysis and linear algebra at the upper-undergraduate level are assumed.
Дополнительное описание: 1 Modeling, or where do differential equations come from.- 2 Classification and characteristics.- 3 Elementary methods.- 4 Hilbert spaces.- 5 Sobolev spaces and boundary value problems in dimension one.- 6 Hilbert space methods for elliptic equations.- 7

Partial Differential Equations, Arendt, Wolfgang Urban, Karsten