The Geometry of Numbers - Brossura

Olds, C. D.; Lax, Anneli; Davidoff, Giuliana P.

Brossura

ISBN 10: 0883856433 ISBN 13: 9780883856437

Casa editrice: The Mathematical Association of America, 2001

Riassunto

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.

Su questo libro

Descrizione del libro:

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.

Contenuti:

1. Geometry and algebra; 2. Trigonometry, calculus and analytic geometry; 3. Inequalities; 4. Integer sums; 5. Sequences and series.

Su questa edizione

• Editore: The Mathematical Association of America
• Data di pubblicazione: 2001
• ISBN 10: 0883856433
• ISBN 13: 9780883856437
• Rilegatura: Copertina flessibile
• Numero di pagine: 192