书目名称 | Complex Analysis |
副标题 | Fundamentals of the |
编辑 | John Stalker |
视频video | http://file.papertrans.cn/232/231346/231346.mp4 |
概述 | An affordable softcover edition of a classic text.May be used as a textbook or as a self-study guide.Includes beautiful illustrations, a rich set of examples of key concepts, numerous exercises.Excell |
丛书名称 | Modern Birkhäuser Classics |
图书封面 |  |
描述 | All modem introductions to complex analysis follow, more or less explicitly, the pattern laid down in Whittaker and Watson [75]. In "part I‘‘ we find the foundational material, the basic definitions and theorems. In "part II" we find the examples and applications. Slowly we begin to understand why we read part I. Historically this is an anachronism. Pedagogically it is a disaster. Part II in fact predates part I, so clearly it can be taught first. Why should the student have to wade through hundreds of pages before finding out what the subject is good for? In teaching complex analysis this way, we risk more than just boredom. Beginning with a series of unmotivated definitions gives a misleading impression of complex analy sis in particular and of mathematics in general. The classical theory of analytic functions did not arise from the idle speculation of bored mathematicians on the possible conse quences of an arbitrary set of definitions; it was the natural, even inevitable, consequence of the practical need to answer questions about specific examples. In standard texts, after hundreds of pages of theorems about generic analytic functions with only the rational and trigonometric |
出版日期 | Textbook 1998 |
关键词 | Complex analysis; Einstein Series; Euler-MacLaurin Summation; Hypergeometric Function; Meromorphic funct |
版次 | 1 |
doi | https://doi.org/10.1007/978-0-8176-4919-7 |
isbn_softcover | 978-0-8176-4918-0 |
isbn_ebook | 978-0-8176-4919-7Series ISSN 2197-1803 Series E-ISSN 2197-1811 |
issn_series | 2197-1803 |
copyright | John Stalker 1998 |