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The Geometry of Numbers

C. D. OldsAnneli LaxGiuliana P. DavidoffGiuliana Davidoff

出版	Cambridge University Press, 2000
主題	Mathematics / Geometry / GeneralMathematics / Number TheoryMedical / General
ISBN	08838564339780883856437
URL	http://books.google.com.hk/books?id=Bycut_duHr8C&hl=&source=gbs_api
EBook	SAMPLE

註釋

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.