| 書目名稱 | More Calculus of a Single Variable | | 編輯 | Peter R. Mercer | | 視頻video | http://file.papertrans.cn/640/639295/639295.mp4 | | 概述 | Treats advanced aspects of the calculus of a single variable.Enriches the reader‘s understanding of the breadth and power of calculus.Develops the reader‘s mastery of calculus through many challenging | | 叢書名稱 | Undergraduate Texts in Mathematics | | 圖書封面 |  | | 描述 | .This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus — such as the real numbers, differentiation and integration, mean value theorems, the exponential function — are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for π. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization..More Calculus of a Single Variable. is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations.. | | 出版日期 | Textbook 2014 | | 關(guān)鍵詞 | AGM inequality; Taylor‘s theorem; continuous functions; mean value theorem | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4939-1926-0 | | isbn_softcover | 978-1-4939-4681-5 | | isbn_ebook | 978-1-4939-1926-0Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Science+Business Media New York 2014 |
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