This book brings the researcher up to date with recent applications of mathematical logic to number theory.

A step-by-step guide to Langlands' early work leading up the Langlands Program for mathematicians and advanced students.

From Bäcklund to Darboux: a comprehensive journey through the transformation theory of constrained Willmore surfaces, with applications to constant mean curvature surfaces.

A guide to cryptanalysis and the implementation of cryptosystems, written for students and security engineers by leading experts.

An overview of bounded cohomology and simplicial volume covering the basics of the subject and recent research directions.

Contains graduate-level introductions by international experts to five areas of research in orthogonal polynomials and special functions.

Discover how zeta and L-functions have shaped the development of major parts of mathematics over the past two centuries.

These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.

This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus in category theory and its applications.

Represents the state of the art in the new field of synthetic differential topology.