This book consists of short descriptions of 106 mathematical
theorems, which belong to the great achievements of 21st century
mathematics but require relatively little mathematical background
to understand their formulation and appreciate their importance.
The selected theorems of this volume, chosen from the famous Annals
of Mathematics journal, cover a broad range of topics from across
mathematics. Each theorem description is essentially
self-contained, can be read independently of the others, and
requires as little preliminary knowledge as possible. Although the
sections often start with an informal discussion and toy examples,
all the necessary definitions are included and each description
culminates in the precise formulation of the corresponding theorem.
Filling the gap between surveys written for mathematicians and
popular mathematics, this book is intended for readers with a keen
interest in contemporary mathematics.
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