Basic lessons on isometries, similarities and inversions in the Euclidean plane: a synthetic approach
"The aim of this book is to provide a complete synthetic exposition of plane isometries, similarities and inversions to readers who are interested in studying, teaching, and using this material. The topics developed in this book can provide new proofs and solutions to many results and problems...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2022]
|
| Schlagworte: | |
| Online-Zugang: | zbMATH |
| Zusammenfassung: | "The aim of this book is to provide a complete synthetic exposition of plane isometries, similarities and inversions to readers who are interested in studying, teaching, and using this material. The topics developed in this book can provide new proofs and solutions to many results and problems of classical geometry, which are presented with different proofs in the literature. Their applications are numerous and some, such as the Steiner Chains and Point, are useful to engineers. The book contains many good examples, important applications and numerous exercises of various level and difficulty, which are classified in the three groups of: general exercises, geometrical constructions, and geometrical loci. Some lengthy exercises or groups of related exercises can be viewed as projects. On the basis of the above, this book, besides Classical Geometry, is an important addition to Mathematics Education"-- |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xiii, 486 Seiten Illustrationen, Diagramme |
| ISBN: | 9789811239854 9789811240379 |
Internformat
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| 100 | 1 | |a Roussos, Ioannis Markos |d 1954- |e Verfasser |0 (DE-588)1266603042 |4 aut | |
| 245 | 1 | 0 | |a Basic lessons on isometries, similarities and inversions in the Euclidean plane |b a synthetic approach |c Ioannis Markos Roussos (Hamline University, USA) |
| 264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo |b World Scientific |c [2022] | |
| 300 | |a xiii, 486 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 520 | 3 | |a "The aim of this book is to provide a complete synthetic exposition of plane isometries, similarities and inversions to readers who are interested in studying, teaching, and using this material. The topics developed in this book can provide new proofs and solutions to many results and problems of classical geometry, which are presented with different proofs in the literature. Their applications are numerous and some, such as the Steiner Chains and Point, are useful to engineers. The book contains many good examples, important applications and numerous exercises of various level and difficulty, which are classified in the three groups of: general exercises, geometrical constructions, and geometrical loci. Some lengthy exercises or groups of related exercises can be viewed as projects. On the basis of the above, this book, besides Classical Geometry, is an important addition to Mathematics Education"-- | |
| 650 | 0 | 7 | |a Abbildung |g Mathematik |0 (DE-588)4000044-8 |2 gnd |9 rswk-swf |
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| 653 | 0 | |a Euclid's Elements | |
| 653 | 0 | |a Geometry, Plane | |
| 653 | 0 | |a Isometrics (Mathematics) | |
| 653 | 0 | |a Similarity (Geometry) | |
| 653 | 0 | |a Inversions (Geometry) | |
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| 653 | 0 | |a Mathematics education -- Research exposition (monographs, survey articles) | |
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Datensatz im Suchindex
| _version_ | 1804184294132809728 |
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| author | Roussos, Ioannis Markos 1954- |
| author_GND | (DE-588)1266603042 |
| author_facet | Roussos, Ioannis Markos 1954- |
| author_role | aut |
| author_sort | Roussos, Ioannis Markos 1954- |
| author_variant | i m r im imr |
| building | Verbundindex |
| bvnumber | BV048398262 |
| classification_tum | MAT 516 |
| ctrlnum | (OCoLC)1296681520 (DE-599)KXP1771348208 |
| dewey-full | 516.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.22 |
| dewey-search | 516.22 |
| dewey-sort | 3516.22 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| id | DE-604.BV048398262 |
| illustrated | Illustrated |
| index_date | 2024-07-03T20:22:21Z |
| indexdate | 2024-07-10T09:37:03Z |
| institution | BVB |
| isbn | 9789811239854 9789811240379 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033776867 |
| oclc_num | 1296681520 |
| open_access_boolean | 1 |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | xiii, 486 Seiten Illustrationen, Diagramme |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Roussos, Ioannis Markos 1954- Verfasser (DE-588)1266603042 aut Basic lessons on isometries, similarities and inversions in the Euclidean plane a synthetic approach Ioannis Markos Roussos (Hamline University, USA) New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2022] xiii, 486 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index "The aim of this book is to provide a complete synthetic exposition of plane isometries, similarities and inversions to readers who are interested in studying, teaching, and using this material. The topics developed in this book can provide new proofs and solutions to many results and problems of classical geometry, which are presented with different proofs in the literature. Their applications are numerous and some, such as the Steiner Chains and Point, are useful to engineers. The book contains many good examples, important applications and numerous exercises of various level and difficulty, which are classified in the three groups of: general exercises, geometrical constructions, and geometrical loci. Some lengthy exercises or groups of related exercises can be viewed as projects. On the basis of the above, this book, besides Classical Geometry, is an important addition to Mathematics Education"-- Abbildung Mathematik (DE-588)4000044-8 gnd rswk-swf Euklidische Ebene (DE-588)4153143-7 gnd rswk-swf Euclid's Elements Geometry, Plane Isometrics (Mathematics) Similarity (Geometry) Inversions (Geometry) Geometry Mathematics education -- Research exposition (monographs, survey articles) Convex and discrete geometry Abbildung Mathematik (DE-588)4000044-8 s Euklidische Ebene (DE-588)4153143-7 s DE-604 Erscheint auch als Online-Ausgabe 978-981-123-986-1 Erscheint auch als Online-Ausgabe 978-981-123-987-8 https://zbmath.org/?q=an%3A1471.51001 zbMATH kostenfrei Rezension |
| spellingShingle | Roussos, Ioannis Markos 1954- Basic lessons on isometries, similarities and inversions in the Euclidean plane a synthetic approach Abbildung Mathematik (DE-588)4000044-8 gnd Euklidische Ebene (DE-588)4153143-7 gnd |
| subject_GND | (DE-588)4000044-8 (DE-588)4153143-7 |
| title | Basic lessons on isometries, similarities and inversions in the Euclidean plane a synthetic approach |
| title_auth | Basic lessons on isometries, similarities and inversions in the Euclidean plane a synthetic approach |
| title_exact_search | Basic lessons on isometries, similarities and inversions in the Euclidean plane a synthetic approach |
| title_exact_search_txtP | Basic lessons on isometries, similarities and inversions in the Euclidean plane a synthetic approach |
| title_full | Basic lessons on isometries, similarities and inversions in the Euclidean plane a synthetic approach Ioannis Markos Roussos (Hamline University, USA) |
| title_fullStr | Basic lessons on isometries, similarities and inversions in the Euclidean plane a synthetic approach Ioannis Markos Roussos (Hamline University, USA) |
| title_full_unstemmed | Basic lessons on isometries, similarities and inversions in the Euclidean plane a synthetic approach Ioannis Markos Roussos (Hamline University, USA) |
| title_short | Basic lessons on isometries, similarities and inversions in the Euclidean plane |
| title_sort | basic lessons on isometries similarities and inversions in the euclidean plane a synthetic approach |
| title_sub | a synthetic approach |
| topic | Abbildung Mathematik (DE-588)4000044-8 gnd Euklidische Ebene (DE-588)4153143-7 gnd |
| topic_facet | Abbildung Mathematik Euklidische Ebene |
| url | https://zbmath.org/?q=an%3A1471.51001 |
| work_keys_str_mv | AT roussosioannismarkos basiclessonsonisometriessimilaritiesandinversionsintheeuclideanplaneasyntheticapproach |