The Geometry of Numbers

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Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Seller Inventory # GRP77867829

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Synopsis: 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.

Bibliographic Details

Title: The Geometry of Numbers
Publisher: American Mathematical Society
Publication Date: 2001
Binding: Soft cover
Condition: Good
Edition: 1 Edition.