Theorems of the 21st Century

Volume I

Authors: Grechuk, Bogdan

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  • 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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eBook £31.99
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  • ISBN 978-3-030-19096-5
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Hardcover £39.99
price for United Kingdom (gross)
  • ISBN 978-3-030-19095-8
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  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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.

About the authors

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.

Reviews

“Any high school or university undergraduate student interested in mathematics will find this book a treasure trove of interesting topics to explore. Even more advanced students will find many intriguing topics that will contribute to their breadth of knowledge. This is a book that should be available in all high school, college, and university libraries.” (F. J. Papp, Mathematical Reviews, July, 2020)
“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)

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook £31.99
price for United Kingdom (gross)
  • ISBN 978-3-030-19096-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover £39.99
price for United Kingdom (gross)
  • ISBN 978-3-030-19095-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Theorems of the 21st Century
Book Subtitle
Volume I
Authors
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-19096-5
DOI
10.1007/978-3-030-19096-5
Hardcover ISBN
978-3-030-19095-8
Edition Number
1
Number of Pages
XVI, 446
Number of Illustrations
89 b/w illustrations, 18 illustrations in colour
Topics