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Titlebook: Analysis II; Herbert Amann,Joachim Escher Book 20081st edition Birkh�user Basel 2008 Calculation.Complex analysis.Derivation.Derivative.Fo

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发表于 2025-3-21 16:37:19 | 显示全部楼层 |阅读模式
期刊全称Analysis II
影响因子2023Herbert Amann,Joachim Escher
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发行地址Cauchy’s integral theorems and the theory of holomorphic functions including the homological version of the residue theorem are derived as an application of the theory of line integrals.In addition to
图书封面Titlebook: Analysis II;  Herbert Amann,Joachim Escher Book 20081st edition Birkh�user Basel 2008 Calculation.Complex analysis.Derivation.Derivative.Fo
影响因子As with the first, the second volume contains substantially more material than can be covered in a one-semester course. Such courses may omit many beautiful and well-grounded applications which connect broadly to many areas of mathematics. We of course hope that students will pursue this material independently; teachers may find it useful for undergraduate seminars. For an overview of the material presented, consult the table of contents and the chapter introductions. As before, we stress that doing the numerous exercises is indispensable for understanding the subject matter, and they also round out and amplify the main text. In writing this volume, we are indebted to the help of many. We especially thank our friends and colleagues Pavol Quittner and Gieri Simonett. They have not only meticulously reviewed the entire manuscript and assisted in weeding out errors but also, through their valuable suggestions for improvement, contributed essentially to the final version. We also extend great thanks to our staff for their careful perusal of the entire manuscript and for tracking errata and inaccuracies. Our most heartfelt thank extends again to our “typesetting perfectionist”, 1 withou
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extend great thanks to our staff for their careful perusal of the entire manuscript and for tracking errata and inaccuracies. Our most heartfelt thank extends again to our “typesetting perfectionist”, 1 withou978-3-7643-7472-3978-3-7643-7478-5
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Book 20081st editionaluable suggestions for improvement, contributed essentially to the final version. We also extend great thanks to our staff for their careful perusal of the entire manuscript and for tracking errata and inaccuracies. Our most heartfelt thank extends again to our “typesetting perfectionist”, 1 withou
发表于 2025-3-22 10:43:24 | 显示全部楼层
Herbert Amann,Joachim EscherCauchy’s integral theorems and the theory of holomorphic functions including the homological version of the residue theorem are derived as an application of the theory of line integrals.In addition to
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Topics in Statistical Pattern Recognition,Integration was invented for finding the area of shapes. This, of course, is an ancient problem, and the basic strategy for solving it is equally old: divide the shape into rectangles and add up their areas.
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https://doi.org/10.1007/978-3-642-96303-2In Volume I, we used the differential calculus to extract deep insight about the “fine structure” of functions. In that process, the idea of linear approximations proved to be extremely effective. However, we have until now concentrated on functions of one variable.
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