Authors:
Introduces students to contemporary mathematical research
Includes over 100 major recent theorems from all areas of mathematics
Explains each theorem in simple terms, assuming only basic mathematics
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Table of contents (11 chapters)
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Front Matter
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Back Matter
About this book
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.
Reviews
“The text is accessible to undergraduate students without any prerequisites. … The book can be warmly recommended to beginning mathematicians seeking to develop a taste for good mathematics, but also to advanced mathematicians willing to broaden their horizons beyond the scope of their own specialization.” (Antonín Slavík, zbMATH 1428.00001, 2020)
Authors and Affiliations
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Department of Mathematics, University of Leicester, Leicester, UK
Bogdan Grechuk
About the author
Bogdan Grechuk fell in love with mathematics as a child, taking part in various mathematics competitions, including the International Mathematical Olympiad where he won gold and silver medals. He's been lecturing at the University of Leicester (UK) since 2011.
Bibliographic Information
Book Title: Theorems of the 21st Century
Book Subtitle: Volume I
Authors: Bogdan Grechuk
DOI: https://doi.org/10.1007/978-3-030-19096-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-19095-8Published: 03 July 2019
eBook ISBN: 978-3-030-19096-5Published: 15 June 2019
Edition Number: 1
Number of Pages: XVI, 446
Number of Illustrations: 89 b/w illustrations, 18 illustrations in colour
Topics: Mathematics, general, Popular Science in Mathematics