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Titlebook: Complex Variables with Applications; S. Ponnusamy,Herb Silverman Textbook 2006 Birkh?user Boston 2006 Algebra.Complex analysis.Meromorphic

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發(fā)表于 2025-3-21 19:08:02 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Complex Variables with Applications
編輯S. Ponnusamy,Herb Silverman
視頻videohttp://file.papertrans.cn/232/231604/231604.mp4
概述Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometri
圖書封面Titlebook: Complex Variables with Applications;  S. Ponnusamy,Herb Silverman Textbook 2006 Birkh?user Boston 2006 Algebra.Complex analysis.Meromorphic
描述.Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The authors explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics.. . .The engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. The material includes numerous examples and applications relevant to engineering students, along with some techniques to evaluate various types of integrals. The book may serve as a text for an undergraduate coursein complex variables. The only prerequisite is a basic knowledge of advanced calculus. The presentation is also ideally suited for self-study..
出版日期Textbook 2006
關(guān)鍵詞Algebra; Complex analysis; Meromorphic function; Residue theorem; calculus; geometry; transformation
版次1
doihttps://doi.org/10.1007/978-0-8176-4513-7
isbn_ebook978-0-8176-4513-7
copyrightBirkh?user Boston 2006
The information of publication is updating

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發(fā)表于 2025-3-21 22:24:33 | 只看該作者
How can you protect your ideas?,Many high school students are puzzled by the following “proof”: Let . = .. Then . Dividing by a ? b, we have . The reader, of course, is not fooled by the invalid division by zero. So let us produce an absurdity without dividing by zero. Since 1/(?1) = (?1)/1, we take square roots to obtain . Cross multiplying, we have 1. = . or 1 = ?1.
板凳
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地板
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Elementary Functions,Many high school students are puzzled by the following “proof”: Let . = .. Then . Dividing by a ? b, we have . The reader, of course, is not fooled by the invalid division by zero. So let us produce an absurdity without dividing by zero. Since 1/(?1) = (?1)/1, we take square roots to obtain . Cross multiplying, we have 1. = . or 1 = ?1.
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發(fā)表于 2025-3-22 19:51:08 | 只看該作者
S. Ponnusamy,Herb SilvermanExplores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometri
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https://doi.org/10.1007/978-3-658-42260-8ld functions. We shall see that the derivative relates the angle between two curves to the angle between their images. In addition, the derivative will be seen to measure the “distortion” of image curves.
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