{"product_id":"the-geometry-of-numbers-anneli-lax-new-mathematical-library-series-number-41","title":"The Geometry of Numbers (Anneli Lax New Mathematical Library  Series Number 41)","description":"\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":44984199020597,"sku":"ByrdShop_0883856433","price":223.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780883856437.jpg?v=1770826097","url":"https:\/\/atxbooks.com\/products\/the-geometry-of-numbers-anneli-lax-new-mathematical-library-series-number-41","provider":"ATX Books","version":"1.0","type":"link"}