{"product_id":"geometry-from-isometries-to-special-relativity-undergraduate-texts-in-mathematics","title":"Geometry: from Isometries to Special Relativity (Undergraduate Texts in Mathematics)","description":"\u003cp\u003eThis textbook offers a geometric perspective on special relativity, bridging Euclidean space, hyperbolic space, and Einsteins spacetime in one accessible, self-contained volume. Using tools tailored to undergraduates, the author explores Euclidean and non-Euclidean geometries, gradually building from intuitive to abstract spaces. By the end, readers will have encountered a range of topics, from isometries to the Lorentz-Minkowski plane, building an understanding of how geometry can be used to model special relativity. Beginning with intuitive spaces, such as the Euclidean plane and the sphere, a structure theorem for isometries is introduced that serves as a foundation for increasingly sophisticated topics, such as the hyperbolic plane and the Lorentz-Minkowski plane. By gradually introducing tools throughout, the author offers readers an accessible pathway to visualizing increasingly abstract geometric concepts. Numerous exercises are also included with selected solutions provided. Geometry: from Isometries to Special Relativity offers a unique approach to non-Euclidean geometries, culminating in a mathematical model for special relativity. The focus on isometries offers undergraduates an accessible progression from the intuitive to abstract; instructors will appreciate the complete instructor solutions manual available online. A background in elementary calculus is assumed.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":45882295582918,"sku":"DADAX3030421007","price":42.16,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0695\/9389\/1014\/files\/61b9cw_0ZxL.jpg?v=1779767316","url":"https:\/\/ergodemedia.com\/products\/geometry-from-isometries-to-special-relativity-undergraduate-texts-in-mathematics","provider":"Ergodemedia","version":"1.0","type":"link"}