1 “... visualization, with connections to related areas of mathematics including number theory, graph theory...”

2 “... and an arithmetic Riemann-Roch theorem. To aid number theorists, background material on differential geometry...”

3 Table of Contents: “... -- 5. The concept of area and content -- 6. Special properties of the Holmes-Thompson definition -- 7...”

4 “... with strong connections to many areas of mathematics (including geometry, topology and number theory...”

5 “... properties and crop up in various areas of mathematics, from number theory to theoretical physics...”

6 “... brought together a number of leading experts in these areas of mathematics. The contributions...”

7 “...The number theoretic properties of curves of genus 2 are attracting increasing attention. This book...”

8 Table of Contents: “... and the Picard number -- 6. "Brauer numbers" of twisted Fermat motives -- 7. Evaluating Q(V, T) at T = q...”

9 Table of Contents: “... Bennequin number estimate for transverse knots / V.V. Goryunov and J.W. Hill -- Abelian branched covers...”

10 “... of the basics of the subject as well as the most recent advances. Researchers in number theory, algebraic...”

11 Table of Contents: “... -- Analytic number theory and ranks of elliptic curves M.P. Young -- The derivative of SO(2N +1...”

12 “... on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major...”

13 “... on the geometry of low-dimensional manifolds. This area has been one of intense research during the 1990...”

14 “...Diophantine geometry has been studied by number theorists for thousands of years, since the time...”