Автор: Friedman Avner Название: Advanced Calculus Перевод названия: Анвер Фридман: Высший мат.анализ ISBN: 9780486457956 Издательство: Dover Классификация:
ISBN-10: 0486457958
Обложка/Формат: Paperback Страницы: 432 Вес: 0.50 кг. Дата издания: 15.03.2007 Серия: Dover books on mathematics Язык: English Размер: 215 x 138 x 21 Читательская аудитория: Undergraduate Рейтинг: Поставляется из: США Описание: This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments. The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable functions, integration, and sequences and series of functions. The second part examines functions of several variables: the space of several variables and continuous functions, differentiation, multiple integrals, and line and surface integrals, concluding with a selection of related topics. Complete solutions to the problems appear at the end of the text.