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Lecture Notes on Geometry of Numbers

By Hans-Gill, R. J.

Lecture Notes on Geometry of Numbers

By Hans-Gill, R. J.

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Description
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.
Product details
Binding:
Paperback
Number of Pages:
220
Release Date:
2025-07-16
Publication Date:
2025-07-16
Publisher:
Springer Nature Singapore
Languages:
Original: English
ISBN10:
981999604X
ISBN13:
9789819996049
GPSR Manufacturer Reference:
[email protected]
Weight:
341 g
Height:
155 cm
Width:
235 cm
Thickness:
13 cm
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