Elementary Calculus: An Infinitesimal Approach 9780486484525

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Автор: Keisler H. Jerome
Название: Elementary Calculus: An Infinitesimal Approach
Перевод названия: Джером Кейслер: Элементарный математический анализ: Анализ бесконечно малых
ISBN: 9780486484525
Издательство: Dover
Классификация:

Основы высшей математики

ISBN-10: 0486484521
Обложка/Формат: Paperback
Страницы: 1008
Вес: 1.55 кг.
Дата издания: 16.02.2012
Серия: Dover books on mathematics
Язык: English
Иллюстрации: Black & white line drawings, black & white tables, figures
Размер: 252 x 176 x 49
Читательская аудитория: General (us: trade)
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Поставляется из: США
Описание: This first-year calculus book is centered around the use of infinitesimals, an approach largely neglected until recently for reasons of mathematical rigor. It exposes students to the intuition that originally led to the calculus, simplifying their grasp of the central concepts of derivatives and integrals. The author also teaches the traditional approach, giving students the benefits of both methods.
Chapters 1 through 4 employ infinitesimals to quickly develop the basic concepts of derivatives, continuity, and integrals. Chapter 5 introduces the traditional limit concept, using approximation problems as the motivation. Later chapters develop transcendental functions, series, vectors, partial derivatives, and multiple integrals. The theory differs from traditional courses, but the notation and methods for solving practical problems are the same. The text suggests a variety of applications to both natural and social sciences.