An Invitation to Mathematics

From Competitions to Research

Editors: Schleicher, Dierk, Lackmann, Malte (Eds.)

  • Many contributions by world's leading mathematicians
  • "Active editing" with readers from target reader group -> not only written for young readers, but actually accessible by them
  • Helps bridge the gap between high school and university (for talented students!)
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Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-642-19533-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-642-19532-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
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About this book

This Invitation to Mathematics consists of 14 contributions, many from the world's leading mathematicians, that introduce the readers to exciting aspects of current mathematical research. The contributions are as varied as the personalities of active mathematicians, but together they show mathematics as a rich and lively field of research.

 

The contributions are written for interested students at the age of transition between high school and university who know high school mathematics and perhaps competition mathematics and who want to find out what current research mathematics is about. We hope that it will also be of interest to teachers or more advanced mathematicians who would like to learn about exciting aspects of mathematics outside of their own work or specialization.

 

Together with a team of young ``test readers'', editors and authors have taken great care, through a substantial ``active editing'' process, to make the contributions understandable by the intended readership.

About the authors

Prof. Dr. Dierk Schleicher, Jacobs University Bremen
Malte Lackmann, Jacobs University Bremen

Reviews

“What is new about ‘An Invitation to Mathematics,’ edited by Dierk Schleicher and Malte Lackmann, is that it invites serious students to go beyond mere appreciation of the subject and to contemplate research mathematics as a future career. Seriously. … As the cover illustration suggests, number theory, dynamical systems, graph theory, analysis, game theory, and communication theory are represented here. The articles are intended for motivated high-school students. ... Anyone, student or professional mathematician, will benefit from reading them.” (Daniel S. Silver, The Mathematical Intelligencer, Vol. 37, 2015)

“A delightful collection of articles from 14 leading mathematicians, each introducing a direction of current mathematical research. … The authors talk to the readers as to their equal with the sole intention to share their joy in doing mathematics. … The book is indeed a pleasure to read; it will be of interest to mature mathematicians regardless of their professional orientation and to the budding mathematicians who look around for a congenial field to settle in.” (Alex Bogomolny, The Mathematical Association of America, December, 2011)

“This book is a recopilation of 14 contributions written with the ‘excuse’ of the 50th International Mathematical Olympiad, which was held in Bremen (Germany) in 2009. … Each of the pieces focuses in a particular area, covering altogether a wide range of mathematics. The texts are primarily addressed to students who have participated at IMOs … . The book may be nice reading for a student in a first degree of Mathematics, or for anyone with interests in mathematics in general.” (Vicente Muñoz, The European Mathematical Society, September, 2011)


Table of contents (14 chapters)

  • Structure and Randomness in the Prime Numbers

    Tao, Terence

    Pages 1-7

  • How to Solve a Diophantine Equation

    Stoll, Michael

    Pages 9-19

  • From Sex to Quadratic Forms

    Norton, Simon

    Pages 21-41

  • Small Divisors: Number Theory in Dynamical Systems

    Yoccoz, Jean-Christophe

    Pages 43-54

  • How do IMO Problems Compare with Research Problems?

    Gowers, W. Timothy

    Pages 55-69

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-642-19533-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-642-19532-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
An Invitation to Mathematics
Book Subtitle
From Competitions to Research
Editors
  • Dierk Schleicher
  • Malte Lackmann
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-19533-4
DOI
10.1007/978-3-642-19533-4
Softcover ISBN
978-3-642-19532-7
Edition Number
1
Number of Pages
XIV, 220
Number of Illustrations and Tables
25 b/w illustrations, 31 illustrations in colour
Topics