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.