# What’s Happening in the Mathematical Sciences, Volume 4

Share this page *Editors and Authors: *
*Paul Zorn; Barry Cipra*

This volume is fourth in the much-acclaimed AMS series,

Featured articles include …

- “From Wired to Weird”, on advances that are encouraging research in quantum computation.
- “A Prime Case of Chaos”, on new connections between number theory and theoretical physics.
- “Beetlemania: Chaos in Ecology”, on new evidence for chaotic dynamics in an actual population.
- “A Blue-Letter Day for Computer Chess”, on the mathematics underlying Deep Blue's victory over Garry Kasparov, and much more!

#### Readership

General mathematical audience.

#### Reviews & Endorsements

This lively presentation of an amazingly wide spectrum of happenings in mathematics is impressive … [this book] should be presented to a wide audience even outside mathematics, which could be fascinated by the ideas, concepts and beauty of the mathematical topics.

-- European Mathematical Society Newsletter

Who—or what—is the world's best chess player? Is quantum
chaos lurking within the theory of numbers? Will future computers cash
in on the weirdness of quantum mechanics? Can populations behave
chaotically? Did a mathematical essay by Henri Poincaré inspire
the revolutionary development of modern art? These are among the
fascinating questions addressed in the present volume of *What's Happening in
the Mathematical Sciences*. Even though these articles describe many
cutting-edge areas of modern pure and applied mathematical research, they can
be read and appreciated by anyone with an interest in mathematics.

-- Zentralblatt für Didaktik der Mathematik

The articles are very well written, and usually include quotes from the mathematicians who were involved in the work in question, giving the whole thing a more “human” feel. This book offers professionals a way to keep abreast of what's going on in the field and also gives us a way to share with our students and colleagues some of the excitement of doing mathematics. Don't miss it.

-- MAA Online

An excellent source of information. Through his writing, diagrams, and sidebars, Cipra offers historical background, mathematical connections, and insight into the world of research mathematics. Throughout the book, he connects modern mathematical ideas to important applications in computer science, physics, biology, security codes, and art. He also presents and intriguing blend of historical and contemporary mathematics in each chapter. An excellent resource for high school mathematics teachers and their students.

-- Mathematics Teacher

The perennial task of bringing mathematics before the general
public attracts expositors wielding a diversity of strategies who
pursue goals that range from enticing further study and inducing
appreciation to merely diminishing fear. Cipra's *What's Happening
in the Mathematical Sciences* surveys late-breaking mathematical
news. Though he includes material on such familiar topics as computer
chess, chaos, Escher, and cryptosystems, he also discusses less
familiar territory such as quantum computers, automated theorem
provers, and algorithmic algebraic geometry. Here undergraduates might
easily make their first acquaintance with a topic that could shape the
course of their future studies and, beyond that, their professional
lives. An essential acquisition.

-- CHOICE

This is the fourth volume of an excellent series … transferring contemporary mathematical research in a delightful and exact manner to both non-mathematicians and mathematicians … hot topics and profiles of outstanding mathematicians … pleasant to read … The reviewer looks forward to future issues.

-- Zentralblatt MATH

Stylish format … largely accessible to laymen … This publication is one of the snappier examples of a growing genre from scientific societies seeking to increase public understanding of their work and its societal value.

-- Science & Government Report

Starting with Wiles' completion of ‘Fermat's theorem–at last!’ topics cover: A tale of two theories (4-dim. geometry); Computer science discovers DNA; Divide and conquer; The gentle art of control; Computational fluid dynamics—verging on turbulence; Cellular automata offer new outlook on life, the Universe, and everything; Are group theorists simpleminded?; The secret life of large numbers; In math we trust. Enjoy reading!

-- Zentralblatt MATH

Another choice of new exciting developments in mathematics. These volumes really deserve a large audience, students as well as researchers will be fascinated by the insights and overviews presented.

-- Zentralblatt MATH

The topics chosen and the lively writing fill a notorious gap—to make the ideas, concepts and beauty of mathematics more visible for the general public … well-illustrated … Congratulations to Barry Cipra.

-- Zentralblatt MATH