# What’s Happening in the Mathematical Sciences, Volume 11

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*Dana Mackenzie*

This new volume of What's Happening in the
Mathematical Sciences features a rich selection of articles about
recent topics in pure and applied mathematics.

“Expanding Horizons” and “Needles in an Infinite
Haystack” explain new developments in the theory of expander
graphs and in number theory (asymptotic Fermat's last theorem),
respectively. “The Set® Game Has Met Its Match”
presents a solution of the so-called Cap Set Conjecture, a statement
about arithmetic progressions in finite vector spaces, which resulted
from the mathematical analysis of the popular game “Set”.

“The Shape of Data” and “Quantum Computers and
Golden Gates” present recent advances in theoretical computer
science and related areas of data science. The mathematical aspects of
one of the most fascinating recent developments in general relativity,
the discovery of gravitational waves, is discussed in “When
Black Holes Collide”.

Three articles talk about applications of mathematical methods in
various aspects of everyday life: bike-sharing systems and
ride-sharing services (like Lyft and Uber) in “The Mathematics
of Commuting”, weight control in “The Calculus of
Calories”, and an analysis of various partisan election
practices in “Gerrymandering: Mathematics on Trial”.

We anticipate that many readers will find an interesting topic to
read about and, hopefully, more than one.

#### Readership

General college and university audience; anyone interested in expository accounts of recent developments in mathematics.

#### Reviews & Endorsements

The prolific Dana Mackenzie has done it again! The 11th volume of 'What's Happening in the Mathematical Sciences,' recently published by the AMS, gives the reader a comprehensive overview of exactly what its title suggests and what is badly needed, a readable overview of some of the (arguably) major contributions of math to the real world in the past few years.

'What's Happening in the Mathematical Sciences' has nine short chapters (135 pages), so it is very accessible for those who are short of time but want to get a glimpse of some recent advancements. Anyone with high-level math and above who reads the book will be able to understand the essence of the topics discussed, while those with an academic background in math or the physical sciences will be able to understand most of the material, so this book is really for anyone who is math-inclined and curious. Every chapter is self-contained, divided into sub-sections going from easy to hard, with examples, illustrations, and color images that all help to make the content understandable.

-- Yossi Elran, Davidson Institute of Science Education