| 書(shū)目名稱(chēng) | Linear Fractional Transformations | | 副標(biāo)題 | An Illustrated Intro | | 編輯 | Arseniy Sheydvasser | | 視頻video | http://file.papertrans.cn/587/586316/586316.mp4 | | 概述 | Highly visual and beautifully illustrated.Exercises are organized into sections pertaining to various topics.Assumed little mathematical knowledge | | 叢書(shū)名稱(chēng) | Undergraduate Texts in Mathematics | | 圖書(shū)封面 |  | | 描述 | .The principle aim of this unique text is to illuminate the beauty of the subject both with abstractions like proofs and mathematical text, and with visuals, such as abundant illustrations and diagrams. With few mathematical prerequisites, geometry is presented through the lens of linear fractional transformations. The exposition is motivational and the well-placed examples and exercises give students ample opportunity to pause and digest the material. The subject builds from the fundamentals of Euclidean geometry, to inversive geometry, and, finally, to hyperbolic geometry at the end. Throughout, the author aims to express the underlying philosophy behind the definitions and mathematical reasoning. . This text may be used as primary for an undergraduate geometry course or a freshman seminar in geometry, or as supplemental to instructors in their undergraduate courses in complex analysis, algebra, and number theory. There are elective courses that bring together seemingly disparate topics and this text would be a welcome accompaniment.. | | 出版日期 | Textbook 2023 | | 關(guān)鍵詞 | Linear fractional transformations; M?bius transformations; Conformal geometry; Inversive geometry; Eucli | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-25002-6 | | isbn_softcover | 978-3-031-25004-0 | | isbn_ebook | 978-3-031-25002-6Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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