Best
Number Theory
books of all time
(2024)

G. H. Hardy and E. M. Wright's book is a foundational text in number theory, covering key topics like divisibility, prime numbers, congruences, and quadratic residues. It's a classic read for those starting in number theory.

The book is renowned for its rigorous approach and comprehensive coverage, making it an indispensable resource for students and scholars in mathematics.

Jean-Pierre Serre's work focuses on modular forms and Dirichlet series, providing an advanced perspective on arithmetic. It's suitable for those with a foundational understanding of number theory looking to delve deeper.

The book's depth in covering complex arithmetic concepts makes it a valuable asset for researchers and graduate students in mathematics.

Kenneth Ireland and Michael Rosen bridge classical and modern aspects of number theory, including discussions on Fermat’s Last Theorem, elliptic curves, and zeta functions. It's ideal for those seeking a comprehensive overview.

This book is praised for blending historical context with modern advancements, offering readers a well-rounded understanding of number theory.

Jürgen Neukirch's book provides an in-depth study of algebraic number theory, covering number fields, class field theory, and valuations. It's a key text for anyone interested in the algebraic aspects of number theory.

The book's comprehensive approach and detailed analysis make it a critical resource for advanced study in mathematics, particularly in algebraic number theory.

David A. Cox's book delves into quadratic forms, class groups, and their connection to elliptic curves. It's an insightful read for those interested in the unique properties of prime numbers in specific mathematical forms.

The book is notable for its exploration of the interplay between quadratic forms and number theory, offering a unique perspective on prime numbers.