portada Lecture Notes on Geometry of Numbers (en Inglés)

Lecture Notes on Geometry of Numbers (en Inglés)

Formato

Libro Físico

Autor

Editorial

Idioma

Inglés

N° páginas

205

Encuadernación

Tapa Dura

ISBN13

9789819996018

Categorías

Teoría de números
Geometría algebraica

Lecture Notes on Geometry of Numbers (en Inglés)

R. J. Hans-Gill (Autor) · Madhu Raka (Autor) · Ranjeet Sehmi (Autor) · Springer · Tapa Dura

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Reseña del libro "Lecture Notes on Geometry of Numbers (en Inglés)"

This book serves as an illuminating introduction to the intricacies of the geometry of numbers. It commences by exploring basic concepts of convex sets and lattices in Euclidean space and goes on to delve into Minkowski's fundamental theorem for convex bodies and its applications. It discusses critical determinants and successive minima before explaining the core results of packings and coverings. The text goes on to delve into the significance of renowned conjectures such as Minkowski's conjecture regarding the product of linear forms, Watson's conjecture, and the conjecture of Bambah, Dumir, and Hans-Gill concerning non-homogeneous minima of indefinite quadratic forms. Dedicated to Prof. R.P. Bambah on his 98th birthday, a living legend of number theory in India, this comprehensive book addresses both homogeneous and non-homogeneous problems, while sprinkling in historical insights and highlighting unresolved questions in the field. It is ideally suited for beginnersembarking on self-study as well as for use as a text for a one- or two-semester introductory course. Professor