Linear fractional transformations: an illustrated introduction
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 t...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer Nature
[2023]
|
| Ausgabe: | 1st ed. 2023 |
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Zusammenfassung: | 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 |
| Beschreibung: | xv, 231 S. Illustrationen, Diagramme 586 grams |
| ISBN: | 9783031250019 |
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| 520 | |a 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 | ||
| 650 | 4 | |a Geometry, Differential | |
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| illustrated | Illustrated |
| index_date | 2024-07-03T22:01:57Z |
| indexdate | 2024-07-10T09:51:31Z |
| institution | BVB |
| isbn | 9783031250019 |
| language | English |
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| physical | xv, 231 S. Illustrationen, Diagramme 586 grams |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Springer Nature |
| record_format | marc |
| series2 | Undergraduate Texts in Mathematics |
| spelling | Sheydvasser, Arseniy Verfasser aut Linear fractional transformations an illustrated introduction Arseniy Sheydvasser 1st ed. 2023 Cham Springer Nature [2023] xv, 231 S. Illustrationen, Diagramme 586 grams txt rdacontent n rdamedia nc rdacarrier Undergraduate Texts in Mathematics 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 Geometry, Differential Group theory Geometry Hardcover, Softcover / Mathematik/Geometrie Erscheint auch als Online-Ausgabe 978-3-031-25002-6 |
| spellingShingle | Sheydvasser, Arseniy Linear fractional transformations an illustrated introduction Geometry, Differential Group theory Geometry |
| title | Linear fractional transformations an illustrated introduction |
| title_auth | Linear fractional transformations an illustrated introduction |
| title_exact_search | Linear fractional transformations an illustrated introduction |
| title_exact_search_txtP | Linear fractional transformations an illustrated introduction |
| title_full | Linear fractional transformations an illustrated introduction Arseniy Sheydvasser |
| title_fullStr | Linear fractional transformations an illustrated introduction Arseniy Sheydvasser |
| title_full_unstemmed | Linear fractional transformations an illustrated introduction Arseniy Sheydvasser |
| title_short | Linear fractional transformations |
| title_sort | linear fractional transformations an illustrated introduction |
| title_sub | an illustrated introduction |
| topic | Geometry, Differential Group theory Geometry |
| topic_facet | Geometry, Differential Group theory Geometry |
| work_keys_str_mv | AT sheydvasserarseniy linearfractionaltransformationsanillustratedintroduction |