Introduction to Modern Mathematics

Contemporary mathematics in practice is both diversified and unified: There are many specializations, and most practitioners are comfortable only with a few of them; yet major advances in mathematics often rise from the unification of theories and methods drawn from greatly diverse specializations.Introduction to Modern Mathematics presents a collection of expository introductions to, and surveys of, several active and important topics in mathematics. Contributors include some of the top mathematicians in the world, including two Fields medalists (Jones and Lafforgue) and a Shaw Prize winner (Taubes).This volume should prove valuable to both beginners and experts, as an illuminating overview of current mathematics.