The geometry of numbers

The geometry of numbers Anneli Lax, C. D. Olds, Giuliana P. Davidoff is available to download

The geometry of numbers Anneli Lax, C.The geometry of numbers Textbook D. Olds, Giuliana P. Davidoff
Type:	eBook
Released:	2001
Publisher:	The Mathematical Association of America
Page Count:	194
Format:	djvu
Language:	English
ISBN-10:	0883856433
ISBN-13:	9780883856437

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. Book Description This is a self-contained introduction to the geometry of numbers. The authors gradually leads up to the theorems of Minkowski and others who succeeded him, and demonstrates how this powerful approach gives insight in a wide range of problems.