Donald Estep Practical Analysis in One Variable 9781441930217

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Автор: Donald Estep
Название: Practical Analysis in One Variable
ISBN: 9781441930217
Издательство: Springer
Классификация:

Основы высшей математики и математический анализ

ISBN-10: 1441930213
Обложка/Формат: Paperback
Страницы: 623
Вес: 0.89 кг.
Дата издания: 01.12.2010
Серия: Undergraduate Texts in Mathematics
Язык: English
Издание: Softcover reprint of
Иллюстрации: Black & white illustrations
Размер: 234 x 156 x 33
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Background I was an eighteen-year-old freshman when I began studying analysis. I had arrived at Columbia University ready to major in physics or perhaps engineering. But my seduction into mathematics began immediately with Lipman Bers calculus course, which stood supreme in a year of exciting classes. Then after the course was over, Professor Bers called me into his o?ce and handed me a small blue book called Principles of Mathematical Analysis by W. Rudin. He told me that if I could read this book over the summer, understandmostofit, andproveitbydoingmostoftheproblems, then I might have a career as a mathematician. So began twenty years of struggle to master the ideas in Little Rudin. I began because of a challenge to my ego but this shallow reason was quickly forgotten as I learned about the beauty and the power of analysis that summer. Anyone who recalls taking a serious mathematics course for the ?rst time will empathize with my feelings about this new world into which I fell. In school, I restlessly wandered through complex analysis, analyticnumbertheory, andpartialdi?erentialequations, beforeeventually settling in numerical analysis. But underlying all of this indecision was an ever-present and ever-growing appreciation of analysis. An appreciation thatstillsustainsmyintellectevenintheoftencynicalworldofthemodern academic professional. But developing this appreciation did not come easy to me, and the p- sentation in this book is motivated by my struggles to understand the viii Preface most basic concepts of analysis. To paraphrase J.

Practical Analysis in One Variable, Donald Estep