Geometric Number Theory

By Lenny Fukshansky and Stephan Ramon Garcia

Geometric number theory is an increasingly important topic with growing connections to combinatorics, operations research, and post-quantum cryptography. This book provides an accessible introduction to this area, with an emphasis on the arithmetic applications of Minkowski's geometry of numbers. Linked arithmetic and geometric thinking unifies such diverse topics as Diophantine approximation, quadratic forms, algebraic number theory, Euclidean lattices, discrete optimization, and transcendence; the book is thus appropriate for courses in geometric number theory, diophantine approximation and transcendental number theory, and algebraic number theory. Complete with color figures and more than 400 exercises, the text is accessible to advanced undergraduate and beginning graduate students with basic knowledge of linear algebra, abstract algebra, and real analysis.

• Format: Paperback
• Language: English
• ISBN: 1009054848
• ISBN13: 9781009054843
• Release Date: February 2027
• Publisher: Cambridge University Press
• Length: 326 Pages