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1. |
Record Nr. |
UNINA9910547289603321 |
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Autore |
Gelca Rǎzvan <1967-> |
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Titolo |
Geometric Transformations / / by Răzvan Gelca, Ionuţ Onişor, Carlos Yuzo Shine |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
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ISBN |
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Edizione |
[1st ed. 2022.] |
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Descrizione fisica |
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1 online resource (581 pages) |
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Collana |
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Problem Books in Mathematics, , 2197-8506 |
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Disciplina |
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Soggetti |
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Geometry |
Group theory |
Mathematics - Study and teaching |
Group Theory and Generalizations |
Mathematics Education |
Geometria |
Problemes i exercicis |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di contenuto |
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Introduction -- Part I: Problems - 1. Isometries -- 2. Homotheties and Spiral Similarities -- 3. Inversions -- 4. A Synthesis -- Part II: Hints - 5. Isometries -- 6. Homotheties and Spiral Similarities -- 7. Inversions -- 8. A Synthesis -- Part III: Solutions - 9. Isometries -- 10. Homotheties and Spiral Similarities -- 11. Inversions -- 12. A Synthesis. |
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Sommario/riassunto |
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This textbook teaches the transformations of plane Euclidean geometry through problems, offering a transformation-based perspective on problems that have appeared in recent years at mathematics competitions around the globe, as well as on some classical examples and theorems. It is based on the combined teaching experience of the authors (coaches of several Mathematical Olympiad teams in Brazil, Romania and the USA) and presents comprehensive theoretical discussions of isometries, homotheties and spiral similarities, and inversions, all illustrated by examples and followed by myriad problems |
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left for the reader to solve. These problems were carefully selected and arranged to introduce students to the topics by gradually moving from basic to expert level. Most of them have appeared in competitions such as Mathematical Olympiads or in mathematical journals aimed at an audience interested in mathematics competitions, while some are fundamental facts of mathematics discussed in the framework of geometric transformations. The book offers a global view of the geometric content of today's mathematics competitions, bringing many new methods and ideas to the attention of the public. Talented high school and middle school students seeking to improve their problem-solving skills can benefit from this book, as well as high school and college instructors who want to add nonstandard questions to their courses. People who enjoy solving elementary math problems as a hobby will also enjoy this work. |
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2. |
Record Nr. |
UNINA9910746988603321 |
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Autore |
Chernyshova Svetlana |
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Titolo |
[EXP]OSITION - Die Ausstellung als Existenzweise : Ästhetische, epistemologische und politische Bedingungen des Ausstellens / / Svetlana Chernyshova |
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Pubbl/distr/stampa |
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Bielefeld : , : transcript Verlag, , [2023] |
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©2023 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (558 p.) |
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Collana |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Frontmatter -- Inhalt -- Vorwort/Danksagung -- Zoom-In: Einleitung -- OBJEKT _ KONFIGURIEREN -- SETTING _ VERRÄUMLICHEN -- KÖRPER _ HERVORBRINGEN -- PRÄSENZ _ ERSCHEINEN -- ZEITLICHKEIT _ RHYTHMISIEREN -- REFERENZ _ INSTITUTIONALISIEREN -- INTIMITÄT _ EXPONIEREN -- AGENCEMENT _ MATERIALISIEREN -- Zoom-Out: Fazit/Ausblick -- Quellenverzeichnis -- Abbildungsverzeichnis |
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Sommario/riassunto |
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Worin unterscheidet sich eine Ansammlung von Dingen von etwas, das insbesondere in der Kunst mit der Betitelung »Ausstellung« ausgewiesen wird? Was zeichnet eine Ausstellung aus? Svetlana Chernyshova nimmt eine ontologische Verschiebung vor, indem sie die Ausstellung als eine Existenzweise - [EXP]osition - herausstellt und diese als ein Resultat von vielfältigen »Metastabilisierungen« begreift. Auf der Grundlage von acht Parametern entsteht so ein Modell, welches das komplex-synthetische Phänomen Ausstellung verhandelbar macht. Neben deren ästhetischen und epistemologischen Bedingungen rücken auch die politischen Implikationen ins Blickfeld und zeigen: Ausstellungen lassen sich diffraktiv denken. |
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