| 書(shū)目名稱 | Practical Analysis in One Variable | | 編輯 | Donald Estep | | 視頻video | http://file.papertrans.cn/753/752772/752772.mp4 | | 概述 | Includes supplementary material: | | 叢書(shū)名稱 | Undergraduate Texts in Mathematics | | 圖書(shū)封面 |  | | 描述 | 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 wa | | 出版日期 | Textbook 2002 | | 關(guān)鍵詞 | Derivative; Newton‘s method; Taylor‘s theorem; advanced calculus; calculus; differential equation; logarit | | 版次 | 1 | | doi | https://doi.org/10.1007/b97698 | | isbn_softcover | 978-1-4419-3021-7 | | isbn_ebook | 978-0-387-22644-6Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Science+Business Media New York 2002 |
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