{"product_id":"9783662742013","title":"Geometry in the Euclidean Plane Algebraization, Axiomatization and Interfaces with School Mathematics","description":"\u003ch3\u003eMathematics Study Resources\u003c\/h3\u003e\u003ch1\u003eGeometry in the Euclidean Plane\u003c\/h1\u003e\u003ch2\u003eAlgebraization, Axiomatization and Interfaces with School Mathematics\u003c\/h2\u003e\u003ch3\u003eMax Hoffmann | Tobias Weich | Joachim Hilgert\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Geometry \/ General\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan lang=\"EN-US\" style=\"mso-ansi-language: EN-US;\"\u003eIn this textbook, the authors present an axiomatic approach to plane geometry that offers a structural alternative to, for example, Hilbert's axiom system or other commonly used approaches, along with several pedagogical advantages\u003c\/span\u003e\u003cspan lang=\"EN-US\" style=\"mso-ansi-language: EN-US;\"\u003e. Based on metric spaces, this approach is developed in a thoroughly motivated and pedagogically effective way. Particular attention is paid to integrating the mathematical training of future teachers with the school curriculum. In addition to the axiomatic perspective, the book also shows how plane geometry can be approached using tools from linear algebra, thereby creating a bridge to analytic geometry at the upper secondary level.\u003c\/span\u003e\u003c\/p\u003e\r\n\u003cp class=\"MsoNormal\"\u003e\u003cspan lang=\"EN-US\" style=\"mso-ansi-language: EN-US;\"\u003eAs a further link between school mathematics and axiomatic geometry, the topics of congruence and symmetry are explored in greater depth. In doing so, the authors make explicit the key connections between isometries, congruence, and symmetry, and embed them in contexts typical of school mathematics.\u003c\/span\u003e\u003c\/p\u003e\r\n\u003cp class=\"MsoNormal\"\u003e\u003cspan lang=\"EN-US\" style=\"mso-ansi-language: EN-US;\"\u003eThis book is a translation of the original German edition \u003cem\u003eEbene euklidische Geometrie\u003c\/em\u003e, 1st edition, by Max Hoffmann, Joachim Hilgert, and Tobias Weich, published by Springer-Verlag GmbH, Germany, in 2024. The translation was produced with the support of an AI-based tool and subsequently carefully reviewed and revised for accuracy of content, clarity of language, and consistency of references. \u003c\/span\u003e\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e\n\u003cp\u003e\u003cspan lang=\"EN-GB\" style=\"mso-ansi-language: EN-GB;\"\u003e\u003cstrong\u003eDr. Max Hoffmann\u003c\/strong\u003e \u003cspan lang=\"EN-US\" style=\"mso-ansi-language: EN-US;\"\u003eis a trained teacher of mathematics and computer science. He currently teaches and researches mathematics and its didactics at Paderborn University (Germany), and is active in mathematics outreach.\u003c\/span\u003e\u003c\/span\u003e\u003c\/p\u003e\r\n\u003cp\u003e\u003cspan lang=\"EN-GB\" style=\"mso-ansi-language: EN-GB;\"\u003e\u003cstrong\u003eProf. Dr. Joachim Hilgert\u003c\/strong\u003e is emeritus professor at Paderborn University (Germany) and previously led the research group on Lie theory\u003cspan lang=\"EN-US\" style=\"font-size: 12.0pt; line-height: 115%; font-family: 'Aptos',sans-serif; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Aptos; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\"\u003e.\u003c\/span\u003e \u003c\/span\u003e\u003c\/p\u003e\r\n\u003cp\u003e\u003cspan lang=\"EN-GB\" style=\"mso-ansi-language: EN-GB;\"\u003e\u003cstrong\u003eProf. Dr. Tobias Weich\u003c\/strong\u003e carries out research and teaches at Paderborn University (Germany), where he leads a research group on spectral analysis.\u003c\/span\u003e\u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e21 January 2027\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Berlin Heidelberg\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783662742013\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003ePaperback softback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":51459219161228,"sku":"9783662742013","price":49.49,"currency_code":"USD","in_stock":true}],"url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783662742013","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}