{"product_id":"linear-fractional-transformations-an-illustrated-introduction-9783031250019","title":"Linear Fractional Transformations: An Illustrated Introduction","description":"\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003e\n\u003cbr\u003eThe principle aim of this text is to illuminate the beauty of geometry through abstractions like proofs and mathematical text, as well as visuals like illustrations and diagrams. It builds from the fundamentals of Euclidean geometry to inversive geometry and hyperbolic geometry, and expresses the underlying philosophy behind the definitions and mathematical reasoning. It can be used as primary or supplemental material for undergraduate geometry courses, complex analysis, algebra, and number theory. \u003c\/blockquote\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Hardback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 231 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 17 April 2023\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer International Publishing AG\u003cbr\u003e\u003c\/p\u003e \u003cp\u003e\u003cbr\u003eThe primary objective of this exceptional piece of writing is to unveil the captivating beauty of the subject through a combination of abstract concepts such as proofs and mathematical text, as well as captivating visuals, including an abundance of illustrations and diagrams. With minimal mathematical prerequisites, geometry is presented through the lens of linear fractional transformations, making it accessible to a wide range of readers. The exposition is engaging and the well-designed examples and exercises provide students with ample opportunities to pause and contemplate the material. The subject progresses from the foundational principles of Euclidean geometry to inversive geometry and ultimately to hyperbolic geometry. Throughout, the author endeavors to convey the underlying philosophical essence behind the definitions and mathematical reasoning.\u003cbr\u003e\u003cbr\u003eThis text serves as an excellent primary resource for an undergraduate geometry course or a freshman seminar in geometry. It can also be highly valuable as a supplementary material for instructors teaching complex analysis, algebra, and number theory at the undergraduate level. Additionally, there are elective courses that bring together seemingly disparate topics, and this text would be a welcome addition to such courses.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWeight\u003c\/strong\u003e: 606g\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 241 x 160 x 19 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9783031250019\u003cbr\u003e \u003cstrong\u003eEdition number\u003c\/strong\u003e: 1st ed. 2023\u003c\/p\u003e","brand":"Arseniy Sheydvasser","offers":[{"title":"Hardback","offer_id":44222341415162,"sku":"9783031250019","price":42.83,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/1683299004292_book.jpg?v=1683611869","url":"https:\/\/shulphink.com\/products\/linear-fractional-transformations-an-illustrated-introduction-9783031250019","provider":"Shulph Ink","version":"1.0","type":"link"}