The Princeton Companion to Mathematics by T. Gowers, J. Barrow-Green, I. Leader. This is an unusual book targeting a broad audience ranging from (even young) fans curious about the present state of mathematics to the professional mathematicians seeking to have a glimpse at the areas of mathematics not directly related to their special interests. The book consists of eight (unequal) parts: Introduction, The Origins of Mode Mathematics, Mathematical Concepts, Branches of Mathematics, Theorems and Problems, Mathematicians, The Influence of Mathematics, Final Perspectives. The book concentrates on what is commonly thought of as pure mathematics, although the fourth part - Branches of Mathematics - includes chapters on such borderline theories as, for example, General Relativity, Dynamics, Computational Complexity, Numerical Analysis, while the seventh part - The Influence of Mathematics - covers applications to biology, chemistry, networks, cryptography, medicine, music and art, among others. Such a selection of material left open a possibility of a similar book about applied mathematics and theoretical physics while simultaneously supplying hooks to the new volume.