The last one hundred years have seen many important achievements in the
classical part of number theory. After the proof of the Prime Number
Theorem in 1896, a quick development of analytical tools led to the
invention of various new methods, like Brun's sieve method and the
circle method of Hardy, Littlewood and Ramanujan; developments in topics
such as prime and additive number theory, and the solution of Fermat's
problem. Rational Number Theory in the 20th Century: From PNT to FLT
offers a short survey of 20th century developments in classical number
theory, documenting between the proof of the Prime Number Theorem and
the proof of Fermat's Last Theorem. The focus lays upon the part of
number theory that deals with properties of integers and rational
numbers. Chapters are divided into five time periods, which are then
further divided into subject areas. With the introduction of each new
topic, developments are followed through to the present day. This book
will appeal to graduate researchers and student in number theory,
however the presentation of main results without technicalities will
make this accessible to anyone with an interest in the area.