Number Theory Revealed A Masterclass 1st Andrew Granville by Andrew Granville instant download after payment.

This is a modern introduction to number theory, aimed at several different audiences:
students who have little experience of university level mathematics, students
who are completing an undergraduate degree in mathematics, as well as students
who are completing a mathematics teaching qualification. Like most introductions
to number theory, our contents are largely inspired by Gauss’s Disquisitiones Arithmeticae
(1801), though we also include many modern developments. We have gone
back to Gauss to borrow several excellent examples to highlight the theory.
Why study number theory? Questions arise when studying any subject, sometimes
fascinating questions that may be difficult to answer precisely. Number theory
is the study of the most basic properties of the integers, literally taking integers
apart to see how they are built, and there we find an internal beauty and coherence
that encourages many of us to seek to understand more. Facts are often revealed by
calculations, and then researchers seek proofs. Sometimes the proofs themselves,
even more than the theorems they prove, have an elegance that is beguiling and
reveal that there is so much more to understand. With good reason, Gauss called
number theory the “Queen of Mathematics”, ever mysterious, but nonetheless graciously
sharing with those that find themselves interested. In this first course there
is much that is accessible, while at the same time natural, easily framed, questions
arise which remain open, stumping the brightest minds.