| 書(shū)目名稱 | Complex Variables with Applications | | 編輯 | S. Ponnusamy,Herb Silverman | | 視頻video | http://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(shū)封面 |  | | 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 | | doi | https://doi.org/10.1007/978-0-8176-4513-7 | | isbn_ebook | 978-0-8176-4513-7 | | copyright | Birkh?user Boston 2006 |
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