{"product_id":"the-geometry-of-numbers-9780883856437","title":"The Geometry of Numbers","description":"This is a self-contained introduction to the geometry of numbers, beginning with easily understood questions about lattice points on lines, circles and inside simple polygons in the plane. A minimum of mathematical expertise is required beyond an acquaintance with elementary geometry. The authors gradually lead up to the theorems of Minkowski and others who succeeded him. On the way the reader will see how this powerful approach gives improved approximations to irrational numbers by rationals, simplifies arguments on ways of representing integers as sums of squares, and provides a natural tool for attacking problems involving dense packings of spheres.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e C. D. Olds,Anneli Lax,Giuliana P. Davidoff\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Mathematical Association of America (MAA)\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 02\/22\/2001\u003cbr\u003e\u003cb\u003eSeries:\u003c\/b\u003e Anneli Lax New Mathematical Library #41\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 192\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780883856437","brand":"Mathematical Association of America (MAA)","offers":[{"title":"Default Title","offer_id":45133352304777,"sku":"9780883856437","price":32.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0636\/9240\/6921\/files\/img_60a97ece-799a-498e-83bd-6bc5fd5cd02f.jpg?v=1767676894","url":"https:\/\/sonsanddaughtersbooks.com\/products\/the-geometry-of-numbers-9780883856437","provider":"Sons and Daughters Books","version":"1.0","type":"link"}